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1,802.0076 | Image Quality in High-resolution and High-cadence Solar Imaging | Broad-band imaging and even imaging with a moderate bandpass (about 1 nm)
provides a "photon-rich" environment, where frame selection ("lucky imaging")
becomes a helpful tool in image restoration allowing us to perform a
cost-benefit analysis on how to design observing sequences for high-spatial
resolution imaging in combination with real-time correction provided by an
adaptive optics (AO) system. This study presents high-cadence (160 Hz) G-band
and blue continuum image sequences obtained with the High-resolution Fast
Imager (HiFI) at the 1.5-meter GREGOR solar telescope, where the speckle
masking technique is used to restore images with nearly diffraction-limited
resolution. HiFI employs two synchronized large-format and high-cadence sCMOS
detectors. The Median Filter Gradient Similarity (MFGS) image quality metric is
applied, among others, to AO-corrected image sequences of a pore and a small
sunspot observed on 2017 June 4 and 5. A small region-of-interest, which was
selected for fast imaging performance, covered these contrast-rich features and
their neighborhood, which were part of active region NOAA 12661. Modifications
of the MFGS algorithm uncover the field- and structure-dependency of this image
quality metric. However, MFGS still remains a good choice for determining image
quality without a priori knowledge, which is an important characteristic when
classifying the huge number of high-resolution images contained in data
archives. In addition, this investigation demonstrates that a fast cadence and
millisecond exposure times are still insufficient to reach the coherence time
of daytime seeing. Nonetheless, the analysis shows that data acquisition rates
exceeding 50 Hz are required to capture a substantial fraction of the best
seeing moments, significantly boosting the performance of post-facto image
restoration.
| astro-ph.SR | broadband imaging and even imaging with a moderate bandpass about 1 nm provides a photonrich environment where frame selection lucky imaging becomes a helpful tool in image restoration allowing us to perform a costbenefit analysis on how to design observing sequences for highspatial resolution imaging in combination with realtime correction provided by an adaptive optics ao system this study presents highcadence 160 hz gband and blue continuum image sequences obtained with the highresolution fast imager hifi at the 15meter gregor solar telescope where the speckle masking technique is used to restore images with nearly diffractionlimited resolution hifi employs two synchronized largeformat and highcadence scmos detectors the median filter gradient similarity mfgs image quality metric is applied among others to aocorrected image sequences of a pore and a small sunspot observed on 2017 june 4 and 5 a small regionofinterest which was selected for fast imaging performance covered these contrastrich features and their neighborhood which were part of active region noaa 12661 modifications of the mfgs algorithm uncover the field and structuredependency of this image quality metric however mfgs still remains a good choice for determining image quality without a priori knowledge which is an important characteristic when classifying the huge number of highresolution images contained in data archives in addition this investigation demonstrates that a fast cadence and millisecond exposure times are still insufficient to reach the coherence time of daytime seeing nonetheless the analysis shows that data acquisition rates exceeding 50 hz are required to capture a substantial fraction of the best seeing moments significantly boosting the performance of postfacto image restoration | [['broadband', 'imaging', 'and', 'even', 'imaging', 'with', 'a', 'moderate', 'bandpass', 'about', '1', 'nm', 'provides', 'a', 'photonrich', 'environment', 'where', 'frame', 'selection', 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1,802.00761 | Learning Attribute Representation for Human Activity Recognition | Attribute representations became relevant in image recognition and word
spotting, providing support under the presence of unbalance and disjoint
datasets. However, for human activity recognition using sequential data from
on-body sensors, human-labeled attributes are lacking. This paper introduces a
search for attributes that represent favorably signal segments for recognizing
human activities. It presents three deep architectures, including
temporal-convolutions and an IMU centered design, for predicting attributes. An
empiric evaluation of random and learned attribute representations, and as well
as the networks is carried out on two datasets, outperforming the state-of-the
art.
| cs.CV | attribute representations became relevant in image recognition and word spotting providing support under the presence of unbalance and disjoint datasets however for human activity recognition using sequential data from onbody sensors humanlabeled attributes are lacking this paper introduces a search for attributes that represent favorably signal segments for recognizing human activities it presents three deep architectures including temporalconvolutions and an imu centered design for predicting attributes an empiric evaluation of random and learned attribute representations and as well as the networks is carried out on two datasets outperforming the stateofthe art | [['attribute', 'representations', 'became', 'relevant', 'in', 'image', 'recognition', 'and', 'word', 'spotting', 'providing', 'support', 'under', 'the', 'presence', 'of', 'unbalance', 'and', 'disjoint', 'datasets', 'however', 'for', 'human', 'activity', 'recognition', 'using', 'sequential', 'data', 'from', 'onbody', 'sensors', 'humanlabeled', 'attributes', 'are', 'lacking', 'this', 'paper', 'introduces', 'a', 'search', 'for', 'attributes', 'that', 'represent', 'favorably', 'signal', 'segments', 'for', 'recognizing', 'human', 'activities', 'it', 'presents', 'three', 'deep', 'architectures', 'including', 'temporalconvolutions', 'and', 'an', 'imu', 'centered', 'design', 'for', 'predicting', 'attributes', 'an', 'empiric', 'evaluation', 'of', 'random', 'and', 'learned', 'attribute', 'representations', 'and', 'as', 'well', 'as', 'the', 'networks', 'is', 'carried', 'out', 'on', 'two', 'datasets', 'outperforming', 'the', 'stateofthe', 'art']] | [-0.0849024967600902, -0.00389044613596828, -0.003989192036290963, 0.02954758444490532, -0.10640037024083236, -0.19157506943059463, 0.013974873050271223, 0.47229351335101655, -0.22040960440774346, -0.3416410725770725, 0.10230613791047492, -0.3440192477156719, -0.1792377521853066, 0.2263748280936852, -0.1379099519871589, 0.06889809224651092, 0.15880403586973746, 0.09578804324070612, -0.03705136908683926, -0.2252097980856585, 0.28690487520458796, 0.016543670927057975, 0.37710700488338866, 0.004193863284955215, 0.13489990222086717, -0.004283721206916703, -0.08488490851078596, -0.03871086699267228, -0.0021602065177123426, 0.17407277200577986, 0.3686867580826705, 0.2280469139908544, 0.27752265069737203, -0.4010471405784806, -0.2173047910599659, 0.06605720119033423, 0.14169248865606884, 0.055963720270341986, -0.05712354315263737, -0.3990136879806717, 0.06681651445623073, -0.14564219570925666, 0.06352101899942177, -0.1697022735244698, 0.03030069892605146, -0.022048416088283476, -0.2902875278145075, 0.03387417154800561, 0.05831444156485506, 0.17402888876385986, -0.10596568708618483, -0.1649530835967097, 0.0659569648379046, 0.2490929367693348, 0.06091405467595905, 0.03933746004347793, 0.16906186923798588, -0.23763227813308024, -0.19292405260105927, 0.3893133495002985, -0.03646165222550432, -0.19533520751089478, 0.2334073242239861, 0.02060260113907538, -0.17240090969329078, 0.08192351117937101, 0.21747002075943683, 0.09370523264321189, -0.17973436256870629, -0.027507938287453727, -0.045323151857074764, 0.176761824117663, 0.06943148736738497, 0.02406924110837281, 0.23045311675717434, 0.3041308306157589, -0.006869097530013985, 0.14355102965297797, -0.17630666772472775, -0.04381889192283982, -0.17359028728678821, -0.0866820827126503, -0.18631614877635405, -0.05723000026514961, -0.08358602146537224, -0.17344990465790033, 0.41158610411609214, 0.25367800854922584, 0.21780755874804325, 0.1330596946283347, 0.33423668319980304, -0.02767909736527751, 0.12566493798254263, 0.08904967063313557, 0.143116633550057, -0.03790815113526252, 0.09858913213118083, -0.1380151403007201, 0.1375434641415874, 0.022903782006728254] |
1,802.00762 | Refining the Central Limit Theorem Approximation via Extreme Value
Theory | We suggest approximating the distribution of the sum of independent and
identically distributed random variables with a Pareto-like tail by combining
extreme value approximations for the largest summands with a normal
approximation for the sum of the smaller summands. If the tail is well
approximated by a Pareto density, then this new approximation has substantially
smaller error rates compared to the usual normal approximation for underlying
distributions with finite variance and less than three moments. It can also
provide an accurate approximation for some infinite variance distributions.
| math.PR | we suggest approximating the distribution of the sum of independent and identically distributed random variables with a paretolike tail by combining extreme value approximations for the largest summands with a normal approximation for the sum of the smaller summands if the tail is well approximated by a pareto density then this new approximation has substantially smaller error rates compared to the usual normal approximation for underlying distributions with finite variance and less than three moments it can also provide an accurate approximation for some infinite variance distributions | [['we', 'suggest', 'approximating', 'the', 'distribution', 'of', 'the', 'sum', 'of', 'independent', 'and', 'identically', 'distributed', 'random', 'variables', 'with', 'a', 'paretolike', 'tail', 'by', 'combining', 'extreme', 'value', 'approximations', 'for', 'the', 'largest', 'summands', 'with', 'a', 'normal', 'approximation', 'for', 'the', 'sum', 'of', 'the', 'smaller', 'summands', 'if', 'the', 'tail', 'is', 'well', 'approximated', 'by', 'a', 'pareto', 'density', 'then', 'this', 'new', 'approximation', 'has', 'substantially', 'smaller', 'error', 'rates', 'compared', 'to', 'the', 'usual', 'normal', 'approximation', 'for', 'underlying', 'distributions', 'with', 'finite', 'variance', 'and', 'less', 'than', 'three', 'moments', 'it', 'can', 'also', 'provide', 'an', 'accurate', 'approximation', 'for', 'some', 'infinite', 'variance', 'distributions']] | [-0.0524532213732172, 0.13969605604080274, -0.13123798799626102, 0.11269730372332978, -0.029695291714421635, -0.10056271974061584, 0.06541141180118182, 0.35696969087096464, -0.26181241029595165, -0.26715586419035303, 0.10607823727909348, -0.2848806075120195, -0.06350111203193236, 0.15718775791726236, -0.030701784962980913, 0.047805185964492944, 0.02646080515047685, 0.04554482913159915, -0.1125343556772789, -0.25908788739457383, 0.2720003746056544, 0.050856153448594024, 0.298377915563854, -0.04824881968034924, 0.0949754712289606, 0.024315297999686892, -0.024787870926204426, 0.043316820649772714, -0.12257633681526814, 0.12368656951805641, 0.19291446576344556, 0.08451659173292213, 0.305668989249944, -0.36300738518736486, -0.17583036670814559, 0.1654830939603445, 0.19844460976577696, 0.021401995083788174, -0.0018634904261635638, -0.2244080367428518, 0.1093879530160158, -0.1970502297586665, -0.16305451132571216, -0.08598887420462809, 0.02834127548996402, 0.11487496009460468, -0.3570875222420042, 0.13097662626646578, 0.05658503130062258, 0.007427198635735388, -0.0401229790716978, -0.2567985632467544, 0.05934310922045903, 0.07514787425725968, 0.07591805740623553, -0.01778256954175645, 0.06314724990121227, -0.10989268639074082, -0.06217124998762176, 0.3358376690015282, -0.09020384609108476, -0.25287691544441654, 0.11596999497249208, -0.18666066965837588, -0.06942737754434347, 0.1697315282413158, 0.13170251485773887, 0.1242079449838948, -0.12834655475299592, 0.05220854624800769, -0.036612870170328035, 0.11524793809686584, 0.0676727628164079, 0.008922563405471972, 0.13534595353807183, 0.1116788805537354, 0.15125169690655565, 0.1301244074671433, -0.07074278750692377, -0.1288000783968674, -0.318826020705974, -0.11281511406049577, -0.25198505840253554, 0.07382928042929492, -0.21319930686785346, -0.2193018385669452, 0.3554471350574716, 0.09518220657803889, 0.21505326505257993, 0.1748664723602177, 0.33949418096995815, 0.21220971735986485, 0.019086684686420805, 0.1330509705163924, 0.16527868570638124, 0.16961828981668034, -0.0478204893424636, -0.1322051447216721, 0.17970544183840867, 0.04571024898771496] |
1,802.00763 | Photon or meson formation in $J/\psi$ decays into $p {\overline{p}}$ | The measurements of the $J/\psi \rightarrow \gamma p \overline{p}$ decays by
the BES Collaboration indicate an enhancement at the $p \overline{p}$ threshold
which, however, is not present in the J/$\psi$ decays into $\omega p
\overline{p}$ and into $\pi p \overline{p}$. Here, two processes for describing
the decays $J/\psi \rightarrow \mathcal{B} p \overline{p}$ where $\mathcal{B} =
\gamma, \omega$ are presented in some detail and the cases $\mathcal{B} =\phi,
\pi $ are briefly touched on. The first one, applied not only to the radiative
decay to reproduce the threshold peak but also to the $\omega p \overline{p}$
decay channel to improve the description of the spectrum, postulates a direct
emission of the boson before the baryon pair is formed. The second process
assumes that the boson $\mathcal{B}$ is emitted from the baryon pair following
the $J/\psi$ decay and includes for the decays into $\gamma p \overline{p}$ a
final state nucleon-antinucleon interaction based on the Paris $N \overline{N}$
potential. The reproduction of the $p \overline{p}$ distribution in the $J/\psi
\rightarrow \omega p \overline{p}$ decays needs a final state interaction
involving a $N(2050)\ 3/2^-$ resonance. The photon- and meson-emission rates
are reproduced in a semi-quantitative way.
| hep-ph hep-ex nucl-th | the measurements of the jpsi rightarrow gamma p overlinep decays by the bes collaboration indicate an enhancement at the p overlinep threshold which however is not present in the jpsi decays into omega p overlinep and into pi p overlinep here two processes for describing the decays jpsi rightarrow mathcalb p overlinep where mathcalb gamma omega are presented in some detail and the cases mathcalb phi pi are briefly touched on the first one applied not only to the radiative decay to reproduce the threshold peak but also to the omega p overlinep decay channel to improve the description of the spectrum postulates a direct emission of the boson before the baryon pair is formed the second process assumes that the boson mathcalb is emitted from the baryon pair following the jpsi decay and includes for the decays into gamma p overlinep a final state nucleonantinucleon interaction based on the paris n overlinen potential the reproduction of the p overlinep distribution in the jpsi rightarrow omega p overlinep decays needs a final state interaction involving a n2050 32 resonance the photon and mesonemission rates are reproduced in a semiquantitative way | [['the', 'measurements', 'of', 'the', 'jpsi', 'rightarrow', 'gamma', 'p', 'overlinep', 'decays', 'by', 'the', 'bes', 'collaboration', 'indicate', 'an', 'enhancement', 'at', 'the', 'p', 'overlinep', 'threshold', 'which', 'however', 'is', 'not', 'present', 'in', 'the', 'jpsi', 'decays', 'into', 'omega', 'p', 'overlinep', 'and', 'into', 'pi', 'p', 'overlinep', 'here', 'two', 'processes', 'for', 'describing', 'the', 'decays', 'jpsi', 'rightarrow', 'mathcalb', 'p', 'overlinep', 'where', 'mathcalb', 'gamma', 'omega', 'are', 'presented', 'in', 'some', 'detail', 'and', 'the', 'cases', 'mathcalb', 'phi', 'pi', 'are', 'briefly', 'touched', 'on', 'the', 'first', 'one', 'applied', 'not', 'only', 'to', 'the', 'radiative', 'decay', 'to', 'reproduce', 'the', 'threshold', 'peak', 'but', 'also', 'to', 'the', 'omega', 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1,802.00764 | Electrofluorochromism at the single molecule level | The interplay between the oxidation state and the optical properties of
molecules plays a key role for applications in displays, sensors or
molecular-based memories. The fundamental mechanisms occurring at the level of
a single-molecule have been difficult to probe. We used a scanning tunneling
microscope (STM) to characterize and control the fluorescence of a single
Zn-phthalocyanine radical cation adsorbed on a NaCl-covered Au(111) sample. The
neutral and oxidized states of the molecule were identified on the basis of
their fluorescence spectra that revealed very different emission energies and
vibronic fingerprints. The emission of the charged molecule was controlled by
tuning the thickness of the insulator and the plasmons localized at the apex of
the STM tip. In addition, sub-nanometric variations of the tip position were
used to investigate the charging and electroluminescence mechanisms.
| cond-mat.mes-hall physics.chem-ph | the interplay between the oxidation state and the optical properties of molecules plays a key role for applications in displays sensors or molecularbased memories the fundamental mechanisms occurring at the level of a singlemolecule have been difficult to probe we used a scanning tunneling microscope stm to characterize and control the fluorescence of a single znphthalocyanine radical cation adsorbed on a naclcovered au111 sample the neutral and oxidized states of the molecule were identified on the basis of their fluorescence spectra that revealed very different emission energies and vibronic fingerprints the emission of the charged molecule was controlled by tuning the thickness of the insulator and the plasmons localized at the apex of the stm tip in addition subnanometric variations of the tip position were used to investigate the charging and electroluminescence mechanisms | [['the', 'interplay', 'between', 'the', 'oxidation', 'state', 'and', 'the', 'optical', 'properties', 'of', 'molecules', 'plays', 'a', 'key', 'role', 'for', 'applications', 'in', 'displays', 'sensors', 'or', 'molecularbased', 'memories', 'the', 'fundamental', 'mechanisms', 'occurring', 'at', 'the', 'level', 'of', 'a', 'singlemolecule', 'have', 'been', 'difficult', 'to', 'probe', 'we', 'used', 'a', 'scanning', 'tunneling', 'microscope', 'stm', 'to', 'characterize', 'and', 'control', 'the', 'fluorescence', 'of', 'a', 'single', 'znphthalocyanine', 'radical', 'cation', 'adsorbed', 'on', 'a', 'naclcovered', 'au111', 'sample', 'the', 'neutral', 'and', 'oxidized', 'states', 'of', 'the', 'molecule', 'were', 'identified', 'on', 'the', 'basis', 'of', 'their', 'fluorescence', 'spectra', 'that', 'revealed', 'very', 'different', 'emission', 'energies', 'and', 'vibronic', 'fingerprints', 'the', 'emission', 'of', 'the', 'charged', 'molecule', 'was', 'controlled', 'by', 'tuning', 'the', 'thickness', 'of', 'the', 'insulator', 'and', 'the', 'plasmons', 'localized', 'at', 'the', 'apex', 'of', 'the', 'stm', 'tip', 'in', 'addition', 'subnanometric', 'variations', 'of', 'the', 'tip', 'position', 'were', 'used', 'to', 'investigate', 'the', 'charging', 'and', 'electroluminescence', 'mechanisms']] | [-0.10907196012709489, 0.12459441212908799, -0.06817113390220826, 0.031296542589730435, 0.04109056257351323, -0.17217581075054544, 0.08555288770669744, 0.42433598799673655, -0.26143353349948656, -0.31279558149514763, -0.005248321893888006, -0.3179155309499732, -0.09894503023340331, 0.165126204097871, 0.027085042757671752, 0.015747975657573184, 0.014587991169781801, -0.05950747391934158, 0.0009270922319949355, -0.15016241836182076, 0.26212602347235076, 0.09346890278899943, 0.31822698426127205, 0.13776839687666706, 0.08753111131155138, -0.019372383484488907, 0.06477428217354508, -0.021684224731537676, -0.14790237425740513, 0.14677142578075847, 0.23296764965048272, -0.0416676867362254, 0.20902284633595752, -0.5085529876756371, -0.18395604265903528, 0.015162057352593553, 0.13829077026657477, 0.13398187511906257, -0.06777374638855023, -0.29826974239598475, 0.009093244734241534, -0.04040661187600771, -0.11419520437191347, -0.042658636893878, -0.016899850176832147, 0.03195585156364352, -0.1964874981994961, 0.04533988482652957, -0.024081620784078276, 0.11511281910014716, -0.0843095442134432, -0.07654362478656054, -0.10030230360980082, 0.14984242217828528, -0.006856707727202421, -0.010124125690972575, 0.2934773196252987, -0.13056996669300355, -0.1155231951785679, 0.3618465095673126, -0.07593681656165432, -0.07988267697265926, 0.23175609562873045, -0.1797546300559859, -0.07105901935279994, 0.1835581999847964, 0.09824722135112486, 0.15717645919213483, -0.14870702521831067, 0.03442205295041346, 0.018672699226023815, 0.19286787068784123, 0.11545612932652065, 0.1083059058282951, 0.23780621142830444, 0.20375022541674723, 0.014158913067662876, 0.14439594099042183, -0.2275938492513596, -0.006826069551024174, -0.21229980533715082, -0.19896354699926808, -0.2038971420576554, 0.06256005343383904, -0.002771473227100774, -0.14559593320049288, 0.4362397411623117, 0.07404134069917766, 0.19018468006606434, -0.10634392511654105, 0.26596562797559126, 0.06145675802418522, 0.09530349885369473, -0.072511650803179, 0.26448692207558805, 0.16495224984739515, 0.09536593240323185, -0.3407997949660279, 0.1350947668498652, -0.008513966202024967] |
1,802.00765 | Prompt and non-prompt J/$\psi$ production and nuclear modification at
mid-rapidity in p-Pb collisions at ${\bf \sqrt{{\it s}_{\text{NN}}}= 5.02}$
TeV | A measurement of beauty hadron production at mid-rapidity in proton-lead
collisions at a nucleon-nucleon centre-of-mass energy $\sqrt{s_{\rm NN}}=5.02$
TeV is presented. The semi-inclusive decay channel of beauty hadrons into
J/$\psi$ is considered, where the J/$\psi$ mesons are reconstructed in the
dielectron decay channel at mid-rapidity down to transverse momenta of 1.3
GeV/$c$. The ${\rm {b\overline{b}}}$ production cross section at mid-rapidity,
${\rm d}\sigma_{\rm {b\overline{b}}}/{\rm d} y$, and the total cross section
extrapolated over full phase space, $\sigma_{\rm {b\overline{b}}}$, are
obtained. This measurement is combined with results on inclusive J/$\psi$
production to determine the prompt J/$\psi$ cross sections. The results in p-Pb
collisions are then scaled to expectations from pp collisions at the same
centre-of-mass energy to derive the nuclear modification factor $R_{\rm pPb}$,
and compared to models to study possible nuclear modifications of the
production induced by cold nuclear matter effects. $R_{\rm pPb}$ is found to be
smaller than unity at low $p_{\rm T}$ for both J/$\psi$ coming from beauty
hadron decays and prompt J/$\psi$.
| nucl-ex hep-ex | a measurement of beauty hadron production at midrapidity in protonlead collisions at a nucleonnucleon centreofmass energy sqrts_rm nn502 tev is presented the semiinclusive decay channel of beauty hadrons into jpsi is considered where the jpsi mesons are reconstructed in the dielectron decay channel at midrapidity down to transverse momenta of 13 gevc the rm boverlineb production cross section at midrapidity rm dsigma_rm boverlinebrm d y and the total cross section extrapolated over full phase space sigma_rm boverlineb are obtained this measurement is combined with results on inclusive jpsi production to determine the prompt jpsi cross sections the results in ppb collisions are then scaled to expectations from pp collisions at the same centreofmass energy to derive the nuclear modification factor r_rm ppb and compared to models to study possible nuclear modifications of the production induced by cold nuclear matter effects r_rm ppb is found to be smaller than unity at low p_rm t for both jpsi coming from beauty hadron decays and prompt jpsi | [['a', 'measurement', 'of', 'beauty', 'hadron', 'production', 'at', 'midrapidity', 'in', 'protonlead', 'collisions', 'at', 'a', 'nucleonnucleon', 'centreofmass', 'energy', 'sqrts_rm', 'nn502', 'tev', 'is', 'presented', 'the', 'semiinclusive', 'decay', 'channel', 'of', 'beauty', 'hadrons', 'into', 'jpsi', 'is', 'considered', 'where', 'the', 'jpsi', 'mesons', 'are', 'reconstructed', 'in', 'the', 'dielectron', 'decay', 'channel', 'at', 'midrapidity', 'down', 'to', 'transverse', 'momenta', 'of', '13', 'gevc', 'the', 'rm', 'boverlineb', 'production', 'cross', 'section', 'at', 'midrapidity', 'rm', 'dsigma_rm', 'boverlinebrm', 'd', 'y', 'and', 'the', 'total', 'cross', 'section', 'extrapolated', 'over', 'full', 'phase', 'space', 'sigma_rm', 'boverlineb', 'are', 'obtained', 'this', 'measurement', 'is', 'combined', 'with', 'results', 'on', 'inclusive', 'jpsi', 'production', 'to', 'determine', 'the', 'prompt', 'jpsi', 'cross', 'sections', 'the', 'results', 'in', 'ppb', 'collisions', 'are', 'then', 'scaled', 'to', 'expectations', 'from', 'pp', 'collisions', 'at', 'the', 'same', 'centreofmass', 'energy', 'to', 'derive', 'the', 'nuclear', 'modification', 'factor', 'r_rm', 'ppb', 'and', 'compared', 'to', 'models', 'to', 'study', 'possible', 'nuclear', 'modifications', 'of', 'the', 'production', 'induced', 'by', 'cold', 'nuclear', 'matter', 'effects', 'r_rm', 'ppb', 'is', 'found', 'to', 'be', 'smaller', 'than', 'unity', 'at', 'low', 'p_rm', 't', 'for', 'both', 'jpsi', 'coming', 'from', 'beauty', 'hadron', 'decays', 'and', 'prompt', 'jpsi']] | [0.0014485149870003841, 0.2722740349834042, -0.18333185683547354, 0.1724934225460583, 0.047640839153100835, -0.09882955179989704, -0.10717786705632769, 0.294678140447355, -0.18369943359823887, -0.2321838910285772, -0.1631545594492013, -0.4749557896934313, 0.24523338198410405, 0.1341118192131648, 0.10847133563180095, 0.13500335867990929, 0.169407099396836, 0.03068410923655939, -0.051068700067241866, -0.20703104990848734, 0.25844481292586385, 0.10330303973786853, 0.1759782760815432, 0.2427352874716915, 0.030508752812294322, 0.10989672218397992, -0.03587366269895681, -0.05784357064621426, -0.18424499270569053, -0.0012482270218811906, 0.357713386771685, 0.013294257326451547, 0.07066941989922862, -0.3057583433581642, -0.006241782961921778, 0.16817441648386555, 0.15344601167091654, 0.04746106786202022, -0.03987913927637566, -0.3167748377055638, 0.19170515662172746, -0.2780290801946554, -0.04502375443048912, -0.0035896326152413537, 0.050734150423411215, -0.03946177719269473, -0.3256643973633738, 0.1659238562302127, -0.1338692484052132, 0.0813599860787026, -0.017061450784351746, -0.2859814343288358, -0.11038723455433465, -0.09199517025423745, 0.11211892711341473, 0.19698357399684474, 0.2746700221405542, -0.1368983692005334, -0.19499125665459394, 0.418057677056069, 0.022576812266474275, -0.10558632932363386, 0.12956371065014916, -0.27719095887821965, -0.11372142801192686, 0.23475010522949777, 0.3623855410078026, 0.05049419651904995, -0.23411589379542352, 0.040638308167033343, 0.03135008390912889, 0.20951200572008188, 0.14233070988767993, 0.11704619118923813, 0.0828134513751495, 0.21713582713705448, -0.09182185112310151, 0.0005732519413555967, -0.15558988212584945, -0.0672633646608136, -0.49375056886782676, -0.08581065873621158, -0.0366794729685308, 0.11800016260968715, -0.052534485229828815, 0.0750772089817407, 0.29503899177056425, -0.019759137206282352, 0.40601446557264387, -0.00751808687810289, 0.34234115302254176, 0.093226901224123, 0.04102930230048536, 0.1445993271662048, 0.33336885727119225, 0.2519500914895393, 0.2583870449456232, -0.27032919331350896, 0.028753097086253523, 0.042619831867207504] |
1,802.00766 | Discovery of WASP-174b: Doppler tomography of a near-grazing transit | We report the discovery and tomographic detection of WASP-174b, a planet with
a near-grazing transit on a 4.23-d orbit around a $V$ = 11.9, F6V star with
[Fe/H] = 0.09 $\pm$ 0.09. The planet is in a moderately misaligned orbit with a
sky-projected spin-orbit angle of $\lambda$ = 31$^{\circ}$ $\pm$ 1$^{\circ}$.
This is in agreement with the known tendency for orbits around hotter stars to
be misaligned. Owing to the grazing transit the planet's radius is uncertain,
with a possible range of 0.8-1.8 R$_{\rm Jup}$. The planet's mass has an upper
limit of 1.3 M$_{\rm Jup}$. WASP-174 is the faintest hot-Jupiter system so far
confirmed by tomographic means.
| astro-ph.EP | we report the discovery and tomographic detection of wasp174b a planet with a neargrazing transit on a 423d orbit around a v 119 f6v star with feh 009 pm 009 the planet is in a moderately misaligned orbit with a skyprojected spinorbit angle of lambda 31circ pm 1circ this is in agreement with the known tendency for orbits around hotter stars to be misaligned owing to the grazing transit the planets radius is uncertain with a possible range of 0818 r_rm jup the planets mass has an upper limit of 13 m_rm jup wasp174 is the faintest hotjupiter system so far confirmed by tomographic means | [['we', 'report', 'the', 'discovery', 'and', 'tomographic', 'detection', 'of', 'wasp174b', 'a', 'planet', 'with', 'a', 'neargrazing', 'transit', 'on', 'a', '423d', 'orbit', 'around', 'a', 'v', '119', 'f6v', 'star', 'with', 'feh', '009', 'pm', '009', 'the', 'planet', 'is', 'in', 'a', 'moderately', 'misaligned', 'orbit', 'with', 'a', 'skyprojected', 'spinorbit', 'angle', 'of', 'lambda', '31circ', 'pm', '1circ', 'this', 'is', 'in', 'agreement', 'with', 'the', 'known', 'tendency', 'for', 'orbits', 'around', 'hotter', 'stars', 'to', 'be', 'misaligned', 'owing', 'to', 'the', 'grazing', 'transit', 'the', 'planets', 'radius', 'is', 'uncertain', 'with', 'a', 'possible', 'range', 'of', '0818', 'r_rm', 'jup', 'the', 'planets', 'mass', 'has', 'an', 'upper', 'limit', 'of', '13', 'm_rm', 'jup', 'wasp174', 'is', 'the', 'faintest', 'hotjupiter', 'system', 'so', 'far', 'confirmed', 'by', 'tomographic', 'means']] | [-0.18381606092517877, 0.1579979269129884, -0.050809160176226324, -0.0003455399031129976, -0.10456355628283585, -0.11033147210529183, 0.0967434476193625, 0.3546241258234516, -0.1203213674153256, -0.3830490298934427, 0.05335626428645542, -0.35096656007911353, -0.00045147499836543025, 0.20766109870016283, -0.11496656521351314, 0.02776507801358022, 0.15444034082682656, -0.029757929131543886, -0.08625810162002202, -0.19586973650581843, 0.21539611345860085, 0.05077016268235942, -0.01130520751444148, -0.007399429357154113, 0.027735440269359115, -0.035421014926624576, 0.04972342359285582, -0.06853879673187346, -0.25428905237612187, 0.010149330622630705, 0.18554927067666807, 0.047913570810730256, 0.2031750950514905, -0.2122180917135933, -0.1115428664237626, 0.043683625197302844, 0.1922203219933983, -0.02543061465828442, -0.042537248075948844, -0.31669718078246306, 0.08976729922955308, -0.22231598118292717, -0.2157675781899004, 0.08363788521063387, 0.16703735989993254, -0.06518545463754266, -0.3004700796423005, 0.1491885185184633, 0.01983759358671366, 0.18239172501539452, -0.10620071856515008, -0.16367625138224742, -0.10684978964683764, -0.010172607883920564, 0.02036199234791246, 0.14256297296150497, 0.13988902663592906, -0.025534021656722854, 0.008602156981771044, 0.45658202106863555, -0.12651714077904164, -0.033920829741320775, 0.18818873815083256, -0.2547341957825291, -0.11003235809724121, 0.15925829900273433, 0.13395799967624686, 0.17454354664511687, -0.15946951938573928, 0.019418457303282934, -0.046617328860413504, 0.2744944186461176, 0.07731198484771977, 0.03036662059607539, 0.47085037502441923, 0.17454457475219434, 0.11244628702829063, -0.02442126081658381, -0.31103426761989134, -0.014614425527100799, -0.11563677841103544, -0.07405784812427181, -0.124390576089568, 0.08777237516444396, -0.14406832567214686, -0.07679938877403152, 0.2992622223910967, 0.12990322943968588, 0.2440760929397691, 0.05110805220765007, 0.2987226639125569, 0.10373024517378095, 0.0936948768338006, 0.12201185801121242, 0.38956010829219045, 0.2127468733381772, 0.04642642414032975, -0.24864475508494413, 0.08257332083531747, -0.040804788582118265] |
1,802.00767 | On optimal decay estimates for ODEs and PDEs with modal decomposition | We consider the Goldstein-Taylor model, which is a 2-velocity BGK model, and
construct the "optimal" Lyapunov functional to quantify the convergence to the
unique normalized steady state. The Lyapunov functional is optimal in the sense
that it yields decay estimates in $L^2$-norm with the sharp exponential decay
rate and minimal multiplicative constant. The modal decomposition of the
Goldstein-Taylor model leads to the study of a family of 2-dimensional ODE
systems. Therefore we discuss the characterization of "optimal" Lyapunov
functionals for linear ODE systems with positive stable diagonalizable
matrices. We give a complete answer for optimal decay rates of 2-dimensional
ODE systems, and a partial answer for higher dimensional ODE systems.
| math.AP | we consider the goldsteintaylor model which is a 2velocity bgk model and construct the optimal lyapunov functional to quantify the convergence to the unique normalized steady state the lyapunov functional is optimal in the sense that it yields decay estimates in l2norm with the sharp exponential decay rate and minimal multiplicative constant the modal decomposition of the goldsteintaylor model leads to the study of a family of 2dimensional ode systems therefore we discuss the characterization of optimal lyapunov functionals for linear ode systems with positive stable diagonalizable matrices we give a complete answer for optimal decay rates of 2dimensional ode systems and a partial answer for higher dimensional ode systems | [['we', 'consider', 'the', 'goldsteintaylor', 'model', 'which', 'is', 'a', '2velocity', 'bgk', 'model', 'and', 'construct', 'the', 'optimal', 'lyapunov', 'functional', 'to', 'quantify', 'the', 'convergence', 'to', 'the', 'unique', 'normalized', 'steady', 'state', 'the', 'lyapunov', 'functional', 'is', 'optimal', 'in', 'the', 'sense', 'that', 'it', 'yields', 'decay', 'estimates', 'in', 'l2norm', 'with', 'the', 'sharp', 'exponential', 'decay', 'rate', 'and', 'minimal', 'multiplicative', 'constant', 'the', 'modal', 'decomposition', 'of', 'the', 'goldsteintaylor', 'model', 'leads', 'to', 'the', 'study', 'of', 'a', 'family', 'of', '2dimensional', 'ode', 'systems', 'therefore', 'we', 'discuss', 'the', 'characterization', 'of', 'optimal', 'lyapunov', 'functionals', 'for', 'linear', 'ode', 'systems', 'with', 'positive', 'stable', 'diagonalizable', 'matrices', 'we', 'give', 'a', 'complete', 'answer', 'for', 'optimal', 'decay', 'rates', 'of', '2dimensional', 'ode', 'systems', 'and', 'a', 'partial', 'answer', 'for', 'higher', 'dimensional', 'ode', 'systems']] | [-0.14897000839412555, 0.023041614006623762, -0.086214830603348, 0.11113815448127277, -0.0423250089168822, -0.18238312308462934, 0.026931602017603678, 0.2771995890449835, -0.30898361046448214, -0.17804528686106888, 0.13002262795888692, -0.2734746308740946, -0.156821675515582, 0.18730537799494598, -0.047301568689012745, 0.15282411867359635, 0.05525000088361152, 0.06095920773564812, -0.08381013563458184, -0.2417111154560239, 0.3307606371529742, 0.017752652883170805, 0.23577014629412954, -0.010099569927268756, 0.15096451028532118, -0.030318913246513507, 0.00447270149629939, -0.01824691520850046, -0.23498207394178122, 0.1366875442599348, 0.25841680256897637, 0.08554151598705885, 0.2837134704267213, -0.36194953938450564, -0.17846221977913188, 0.154546070143307, 0.1255930353665229, 0.11008487141866305, -0.015556477223856186, -0.21849793893148386, 0.12313702033294383, -0.14818717369280004, -0.17024761461439208, -0.11482099236903387, 0.01902240620703872, 0.039049714476878356, -0.3548612033589444, 0.13680516232078502, 0.09836454775158761, 0.03405733143594629, -0.1281687249472245, -0.08309475668073726, -0.018926809024954333, 0.07084960437918064, 0.03959681691854929, -0.02765635840398251, 0.08681202288118935, -0.05210285533921539, -0.11450081138440125, 0.30566671381463134, -0.1266064651037028, -0.2599563586499986, 0.1510411899007105, -0.13876924495460516, -0.09247339787944263, 0.16265263109373937, 0.20766395156980927, 0.1136317179135662, -0.1512098863054443, 0.12797415144410446, -0.05011151449054206, 0.18538750632913834, 0.03938826394893246, 0.028490740916939504, 0.08579929451962266, 0.15011668064281208, 0.18701587296560954, 0.13297814628058072, 0.03535383479208301, -0.1425548843578051, -0.30325181501140014, -0.19183186053751258, -0.11176238481570548, 0.09456014152351391, -0.11792463537211073, -0.22995056813463158, 0.4061906046550208, 0.06632205382269303, 0.17290796704351083, 0.1511651056684092, 0.22478720319346276, 0.1997030866076025, -0.03627696886889363, 0.06920747345209564, 0.21386145885367322, 0.1814033141436585, 0.06287962597700844, -0.2494706905045367, 0.056605863064493334, 0.16017983453519163] |
1,802.00768 | Order matters: Distributional properties of speech to young children
bootstraps learning of semantic representations | Some researchers claim that language acquisition is critically dependent on
experiencing linguistic input in order of increasing complexity. We set out to
test this hypothesis using a simple recurrent neural network (SRN) trained to
predict word sequences in CHILDES, a 5-million-word corpus of speech directed
to children. First, we demonstrated that age-ordered CHILDES exhibits a gradual
increase in linguistic complexity. Next, we compared the performance of two
groups of SRNs trained on CHILDES which had either been age-ordered or not.
Specifically, we assessed learning of grammatical and semantic structure and
showed that training on age-ordered input facilitates learning of semantic, but
not of sequential structure. We found that this advantage is eliminated when
the models were trained on input with utterance boundary information removed.
| cs.CL | some researchers claim that language acquisition is critically dependent on experiencing linguistic input in order of increasing complexity we set out to test this hypothesis using a simple recurrent neural network srn trained to predict word sequences in childes a 5millionword corpus of speech directed to children first we demonstrated that ageordered childes exhibits a gradual increase in linguistic complexity next we compared the performance of two groups of srns trained on childes which had either been ageordered or not specifically we assessed learning of grammatical and semantic structure and showed that training on ageordered input facilitates learning of semantic but not of sequential structure we found that this advantage is eliminated when the models were trained on input with utterance boundary information removed | [['some', 'researchers', 'claim', 'that', 'language', 'acquisition', 'is', 'critically', 'dependent', 'on', 'experiencing', 'linguistic', 'input', 'in', 'order', 'of', 'increasing', 'complexity', 'we', 'set', 'out', 'to', 'test', 'this', 'hypothesis', 'using', 'a', 'simple', 'recurrent', 'neural', 'network', 'srn', 'trained', 'to', 'predict', 'word', 'sequences', 'in', 'childes', 'a', '5millionword', 'corpus', 'of', 'speech', 'directed', 'to', 'children', 'first', 'we', 'demonstrated', 'that', 'ageordered', 'childes', 'exhibits', 'a', 'gradual', 'increase', 'in', 'linguistic', 'complexity', 'next', 'we', 'compared', 'the', 'performance', 'of', 'two', 'groups', 'of', 'srns', 'trained', 'on', 'childes', 'which', 'had', 'either', 'been', 'ageordered', 'or', 'not', 'specifically', 'we', 'assessed', 'learning', 'of', 'grammatical', 'and', 'semantic', 'structure', 'and', 'showed', 'that', 'training', 'on', 'ageordered', 'input', 'facilitates', 'learning', 'of', 'semantic', 'but', 'not', 'of', 'sequential', 'structure', 'we', 'found', 'that', 'this', 'advantage', 'is', 'eliminated', 'when', 'the', 'models', 'were', 'trained', 'on', 'input', 'with', 'utterance', 'boundary', 'information', 'removed']] | [-0.058405962816204846, 0.05559486684548419, -0.06941028542786352, 0.09226641473852522, -0.1485558167645117, -0.16657330470568524, 0.0856511574957853, 0.48264120037599306, -0.259672426747355, -0.29675993897121145, 0.03183811385566899, -0.25636786281517365, -0.18516970962111845, 0.16907753343163892, -0.13869835046400142, 0.06015000975789214, 0.14507145301355578, 0.12735915112539148, -0.05239821232881821, -0.3291208681620173, 0.30127260853665144, 0.03140292461295196, 0.32322434209499173, -0.005077098386468199, 0.13715328406958985, -0.059763125794403994, -0.04587056537014925, 0.016672550063633277, -0.04438868008399708, 0.12647063532707895, 0.30004096270399383, 0.2123434364292165, 0.32223142865606075, -0.43317783078012184, -0.21069259691332293, 0.08042978569562358, 0.1470777518078079, 0.0992300155775137, -0.018243836595797987, -0.3369689092827522, 0.11235273725966491, -0.17153681639006468, 0.07874928418986075, -0.09302589195596841, 0.0004459972213196561, -0.021388584846342967, -0.24195693922039818, 0.008058653697674351, 0.12670756285873855, 0.12790271247229804, -0.051421089748079636, -0.10977392534751869, -0.036827790897294155, 0.14563369695206052, 0.045485676020171825, 0.056318878040012975, 0.11777654709673024, -0.14435402213451945, -0.12416984943381502, 0.3200143836741525, -0.06960105572210064, -0.21242524015649064, 0.19065435289223565, -0.07932838582532192, -0.18802346231612732, 0.09083171684022356, 0.21950288847225105, 0.039627563893583004, -0.1492536735861246, 0.007054713091858458, -0.028737083689794246, 0.2732391453885693, 0.1152968723951589, -0.03424888852097821, 0.14600889768349234, 0.25785758430933264, -0.04763638271147582, 0.16675303995086835, -0.08733510220521773, -0.0413245105760066, -0.19825674784256192, -0.09138613386549116, -0.20116046596530493, 0.016828100019318195, -0.07284408529091256, -0.18148774847888002, 0.37754674388353177, 0.21144856947920915, 0.17362782608990263, 0.12844326812111417, 0.2598517029054039, 0.019746786959368046, 0.13233307813865897, 0.07744049931671924, 0.15772171360104556, 0.01422765789500521, 0.10813764519838055, -0.1685287118215626, 0.1605143618648796, 0.056356207475069024] |
1,802.00769 | Twisted Weak Orders of Coxeter Groups | In this paper, we initiate the study of the twisted weak order associated to
a twisted Bruhat order for a Coxeter group and explore the relationship between
the lattice property of such order and the infinite reduced words. We show that
for a 2 closure biclosed set $B$ in $\Phi^+$, the $B$-twisted weak order is a
non-complete meet semilattice if $B$ is the inversion set of an infinite
reduced word and that the converse also holds in the case of affine Weyl
groups.
| math.RT | in this paper we initiate the study of the twisted weak order associated to a twisted bruhat order for a coxeter group and explore the relationship between the lattice property of such order and the infinite reduced words we show that for a 2 closure biclosed set b in phi the btwisted weak order is a noncomplete meet semilattice if b is the inversion set of an infinite reduced word and that the converse also holds in the case of affine weyl groups | [['in', 'this', 'paper', 'we', 'initiate', 'the', 'study', 'of', 'the', 'twisted', 'weak', 'order', 'associated', 'to', 'a', 'twisted', 'bruhat', 'order', 'for', 'a', 'coxeter', 'group', 'and', 'explore', 'the', 'relationship', 'between', 'the', 'lattice', 'property', 'of', 'such', 'order', 'and', 'the', 'infinite', 'reduced', 'words', 'we', 'show', 'that', 'for', 'a', '2', 'closure', 'biclosed', 'set', 'b', 'in', 'phi', 'the', 'btwisted', 'weak', 'order', 'is', 'a', 'noncomplete', 'meet', 'semilattice', 'if', 'b', 'is', 'the', 'inversion', 'set', 'of', 'an', 'infinite', 'reduced', 'word', 'and', 'that', 'the', 'converse', 'also', 'holds', 'in', 'the', 'case', 'of', 'affine', 'weyl', 'groups']] | [-0.19037898114871188, 0.14581016525615664, -0.016367625389023716, 0.07001807005004396, -0.09816758330148387, -0.07731205360761967, 0.071638957868016, 0.3487523381811488, -0.3580202747428094, -0.18428644227671875, 0.09747127881301679, -0.267323974430202, -0.14613169032227563, 0.1369026168817598, -0.0747712939607361, -0.007260589851964131, 0.029787327460271407, 0.1343920848904604, -0.12414843387654927, -0.2670557714566723, 0.37217434756008977, -0.0548292302234794, 0.254848269083683, 0.049788525743208016, 0.07759238053562052, 0.013948665494211468, 0.003970893329929516, 0.05969102914495596, -0.14945735181601164, 0.13563820662843737, 0.23898480610405826, 0.04577419307666371, 0.22588853012905064, -0.3705273782666099, -0.1174061390941581, 0.1835913288754871, 0.10710709375968899, 0.025727091020489312, -0.037686837017984996, -0.24427078179285738, 0.1827073553016028, -0.22520593878622336, -0.13715237669691624, -0.025206679096782064, 0.05575668015124568, -0.011281234989256924, -0.2918108577464135, 0.009344504604393795, 0.1406875101243516, 0.09434660829334374, -0.02916339641234961, -0.03365539644384779, -0.0352921382165009, 0.13002819517004607, -0.012842273902069464, 0.04991322604052902, -0.006188618212781218, -0.09934487821904561, -0.11457673620281135, 0.4373089643307479, -0.041533613740186014, -0.2031327030251184, 0.1536592068543366, -0.19951417588303427, -0.18403586142707662, 0.10008762200104904, 0.1403516323182238, 0.0752745247838727, -0.04782142390283835, 0.1706073149724538, -0.15341940046433944, 0.13091465659125381, 0.0804237953151565, -0.001121117900327656, 0.12244696129135878, 0.1169284315196326, 0.10980238202827455, 0.17020873296781477, -0.010285601940662432, 0.004903655403843486, -0.3708142254344491, -0.22586602750178203, -0.10743222010310695, 0.07779337526355164, -0.09139688888649562, -0.19160521699463479, 0.38266454192708776, 0.12705083727185806, 0.1661047013504543, 0.07678461218454752, 0.1797907749662198, 0.09652320005831376, 0.047533118619067394, 0.03708258795787592, 0.14269210159756154, 0.1899125402209809, -0.02402533094275249, -0.21957914588456773, 0.008724272946815893, 0.19478238126016165] |
1,802.0077 | New example of modified moduli space of special Bohr - Sommerfeld
lagrangian submanifolds | We present an example of modified moduli space of special Bohr - Sommerfeld
lagrangian submanifolds for the case when the given algebraic variety is the
full flag $F^3$ for $\mathbb{C}^3$ and the very ample bundle is $K^{-
\frac{1}{2}}_{F^3}$
| math.AG math.SG | we present an example of modified moduli space of special bohr sommerfeld lagrangian submanifolds for the case when the given algebraic variety is the full flag f3 for mathbbc3 and the very ample bundle is k frac12_f3 | [['we', 'present', 'an', 'example', 'of', 'modified', 'moduli', 'space', 'of', 'special', 'bohr', 'sommerfeld', 'lagrangian', 'submanifolds', 'for', 'the', 'case', 'when', 'the', 'given', 'algebraic', 'variety', 'is', 'the', 'full', 'flag', 'f3', 'for', 'mathbbc3', 'and', 'the', 'very', 'ample', 'bundle', 'is', 'k', 'frac12_f3']] | [-0.23535006783074802, 0.031523833067896904, -0.01136746738726894, 0.10480310098500922, -0.18280401644814345, -0.13589001653922927, -0.03426031528377078, 0.3194719760471748, -0.25458506360236144, -0.19911090879597598, 0.09002431967140485, -0.22781064866446993, -0.15603108228080803, 0.2327560101532274, -0.12067899640856518, -0.024454239775271464, 0.05560643972906595, 0.1048781961047401, -0.12878943713278407, -0.32084327786449446, 0.4748783730384376, 0.018542633417786822, 0.1839287106672095, 0.08921280777495769, 0.14437435432854626, 0.016423877658477675, 0.08360595739860502, -0.0002562732414743449, -0.18236586824059486, 0.1032316663250741, 0.29559319171433646, 0.07792301791616613, 0.12986832624301314, -0.3514002387463633, -0.1596252008392993, 0.1996161049335367, 0.12372505139662987, 0.042572271544486284, 0.01645823679347005, -0.27552704786648974, 0.04101303418994778, -0.11397339160450631, -0.17242788378563192, -0.1486316425079066, 0.11278213361381656, -0.037727273392698005, -0.2188532502364574, -0.08542482347951995, 0.030650271309746638, 0.1693998345743037, -0.06126676145423618, -0.14304740017784448, -0.051617051060828895, 0.012485983662675912, 0.015235798161787292, 0.08504278316266006, 0.09815050155803975, -0.0775995064759627, 0.028163172492188297, 0.4754764524598916, -0.10905062237806204, -0.24161508105074367, 0.03155462798248562, -0.11264902296372586, -0.14626022811151212, 0.18897146526271374, 0.06849770949015187, 0.21114191985947806, 0.01929719909538916, 0.2269008456480353, -0.12276416302969058, 0.015772516890946362, 0.051288459398266345, -0.050454074361672006, 0.0929827552754432, 0.15063322360704964, 0.054974338854663074, 0.12031438253406021, -0.06681025121361017, -0.08745238904116882, -0.41950056991643375, -0.28606566762189484, -0.10626484321740766, 0.17335496589334476, -0.1572161731435497, -0.13616304558753553, 0.34699510203467476, -0.04339337178195516, 0.21143991858439726, 0.06887576941193806, 0.23049940305968952, 0.06648009880963299, -0.004314514394435618, 0.026001833301658433, 0.1846794415679243, 0.19820359390642908, 0.0252064919202692, -0.1445378837460238, -0.09969167610526913, 0.13907252541846699] |
1,802.00771 | No Modes left behind: Capturing the data distribution effectively using
GANs | Generative adversarial networks (GANs) while being very versatile in
realistic image synthesis, still are sensitive to the input distribution. Given
a set of data that has an imbalance in the distribution, the networks are
susceptible to missing modes and not capturing the data distribution. While
various methods have been tried to improve training of GANs, these have not
addressed the challenges of covering the full data distribution. Specifically,
a generator is not penalized for missing a mode. We show that these are
therefore still susceptible to not capturing the full data distribution.
In this paper, we propose a simple approach that combines an encoder based
objective with novel loss functions for generator and discriminator that
improves the solution in terms of capturing missing modes. We validate that the
proposed method results in substantial improvements through its detailed
analysis on toy and real datasets. The quantitative and qualitative results
demonstrate that the proposed method improves the solution for the problem of
missing modes and improves training of GANs.
| cs.CV | generative adversarial networks gans while being very versatile in realistic image synthesis still are sensitive to the input distribution given a set of data that has an imbalance in the distribution the networks are susceptible to missing modes and not capturing the data distribution while various methods have been tried to improve training of gans these have not addressed the challenges of covering the full data distribution specifically a generator is not penalized for missing a mode we show that these are therefore still susceptible to not capturing the full data distribution in this paper we propose a simple approach that combines an encoder based objective with novel loss functions for generator and discriminator that improves the solution in terms of capturing missing modes we validate that the proposed method results in substantial improvements through its detailed analysis on toy and real datasets the quantitative and qualitative results demonstrate that the proposed method improves the solution for the problem of missing modes and improves training of gans | [['generative', 'adversarial', 'networks', 'gans', 'while', 'being', 'very', 'versatile', 'in', 'realistic', 'image', 'synthesis', 'still', 'are', 'sensitive', 'to', 'the', 'input', 'distribution', 'given', 'a', 'set', 'of', 'data', 'that', 'has', 'an', 'imbalance', 'in', 'the', 'distribution', 'the', 'networks', 'are', 'susceptible', 'to', 'missing', 'modes', 'and', 'not', 'capturing', 'the', 'data', 'distribution', 'while', 'various', 'methods', 'have', 'been', 'tried', 'to', 'improve', 'training', 'of', 'gans', 'these', 'have', 'not', 'addressed', 'the', 'challenges', 'of', 'covering', 'the', 'full', 'data', 'distribution', 'specifically', 'a', 'generator', 'is', 'not', 'penalized', 'for', 'missing', 'a', 'mode', 'we', 'show', 'that', 'these', 'are', 'therefore', 'still', 'susceptible', 'to', 'not', 'capturing', 'the', 'full', 'data', 'distribution', 'in', 'this', 'paper', 'we', 'propose', 'a', 'simple', 'approach', 'that', 'combines', 'an', 'encoder', 'based', 'objective', 'with', 'novel', 'loss', 'functions', 'for', 'generator', 'and', 'discriminator', 'that', 'improves', 'the', 'solution', 'in', 'terms', 'of', 'capturing', 'missing', 'modes', 'we', 'validate', 'that', 'the', 'proposed', 'method', 'results', 'in', 'substantial', 'improvements', 'through', 'its', 'detailed', 'analysis', 'on', 'toy', 'and', 'real', 'datasets', 'the', 'quantitative', 'and', 'qualitative', 'results', 'demonstrate', 'that', 'the', 'proposed', 'method', 'improves', 'the', 'solution', 'for', 'the', 'problem', 'of', 'missing', 'modes', 'and', 'improves', 'training', 'of', 'gans']] | [-0.041351833964926664, -0.004064895520593224, -0.08902682341401003, 0.11063100321742589, -0.08986454761536893, -0.13955773957196377, 0.006511708829568665, 0.4278011338082616, -0.2344585381292119, -0.3280965999259563, 0.07709633890737383, -0.2906651579869721, -0.17398902058356, 0.1855645405747621, -0.13610378057071326, 0.11595014372281451, 0.1566691673946327, -0.016366620741862646, -0.04938782060875775, -0.26847004923902584, 0.334883006758051, 0.06077956776329857, 0.35403237016843686, 0.04882592404495456, 0.13829713911417604, -0.031196519027012374, -0.019675845137036064, 0.001926153934488218, -0.06839430416105692, 0.14590674077445073, 0.25057334535961556, 0.20481952187928656, 0.32018878576931303, -0.4375839380737015, -0.24566779631987481, 0.10949930199003684, 0.14770256199777784, 0.13013276308964908, -0.08480746456084516, -0.27298945726124113, 0.14465275217784557, -0.16400050652955106, -0.024435680075186098, -0.16093740014716268, -0.04175398069082531, 0.00897626620006307, -0.32033234583715836, 0.053098124128481944, 0.08686768875072548, 0.035485453451955744, -0.05380429281618915, -0.1173530950149644, -0.023208295620425777, 0.16685241877106938, 0.056425349400685484, 0.027641511055526553, 0.05595644177802041, -0.1720395100729618, -0.10965886984569785, 0.3391626083743786, -0.05479555198655068, -0.24365394928877404, 0.17030895682202352, -0.10355877040879811, -0.14650630859189673, 0.1296040996334733, 0.21233231808173242, 0.11829641581412606, -0.16955718352922244, 0.014097435916787917, -0.03769165427426802, 0.1536261822078879, -0.016683854076252905, 0.019523698083699463, 0.1410693498077373, 0.22588554884636117, 0.03337433887924441, 0.136809159616778, -0.12061128524845902, -0.06814883073267644, -0.2690915580348162, -0.08459050330461677, -0.24013160481476672, -0.04658075749301101, -0.06618214322177032, -0.16612496232602766, 0.4408992354473668, 0.23005952349791448, 0.2450417215088215, 0.08951049462563085, 0.35674504279911873, 0.06227772712401145, 0.10172962709636746, 0.08644597946727525, 0.21820950281142654, 0.056464416875565304, 0.09463610519616011, -0.16775020309249888, 0.11408037157495043, -0.028416253032419316] |
1,802.00772 | Formation of porous crystals via viscoelastic phase separation | Viscoelastic phase separation of colloidal suspensions can be interrupted to
form gels either by glass transition or by crystallization. With a new confocal
microscopy protocol, we follow the entire kinetics of phase separation, from
homogeneous phase to different arrested states. For the first time in
experiments, our results unveil a novel crystallization pathway to sponge-like
porous crystal structures. In the early stages, we show that nucleation
requires a structural reorganization of the liquid phase, called stress-driven
ageing. Once nucleation starts, we observe that crystallization follows three
different routes: direct crystallization of the liquid phase, Bergeron process,
and Ostwald ripening. Nucleation starts inside the reorganised network, but
crystals grow past it by direct condensation of the gas phase on their surface,
driving liquid evaporation, and producing a network structure different from
the original phase separation pattern. We argue that similar crystal-gel states
can be formed in monoatomic and molecular systems if the liquid phase is slow
enough to induce viscoelastic phase separation, but fast enough to prevent
immediate vitrification. This provides a novel pathway to form nano-porous
crystals of metals and semiconductors without dealloying, which may be
important for catalytic, optical, sensing, and filtration applications.
| cond-mat.soft cond-mat.mtrl-sci cond-mat.stat-mech | viscoelastic phase separation of colloidal suspensions can be interrupted to form gels either by glass transition or by crystallization with a new confocal microscopy protocol we follow the entire kinetics of phase separation from homogeneous phase to different arrested states for the first time in experiments our results unveil a novel crystallization pathway to spongelike porous crystal structures in the early stages we show that nucleation requires a structural reorganization of the liquid phase called stressdriven ageing once nucleation starts we observe that crystallization follows three different routes direct crystallization of the liquid phase bergeron process and ostwald ripening nucleation starts inside the reorganised network but crystals grow past it by direct condensation of the gas phase on their surface driving liquid evaporation and producing a network structure different from the original phase separation pattern we argue that similar crystalgel states can be formed in monoatomic and molecular systems if the liquid phase is slow enough to induce viscoelastic phase separation but fast enough to prevent immediate vitrification this provides a novel pathway to form nanoporous crystals of metals and semiconductors without dealloying which may be important for catalytic optical sensing and filtration applications | [['viscoelastic', 'phase', 'separation', 'of', 'colloidal', 'suspensions', 'can', 'be', 'interrupted', 'to', 'form', 'gels', 'either', 'by', 'glass', 'transition', 'or', 'by', 'crystallization', 'with', 'a', 'new', 'confocal', 'microscopy', 'protocol', 'we', 'follow', 'the', 'entire', 'kinetics', 'of', 'phase', 'separation', 'from', 'homogeneous', 'phase', 'to', 'different', 'arrested', 'states', 'for', 'the', 'first', 'time', 'in', 'experiments', 'our', 'results', 'unveil', 'a', 'novel', 'crystallization', 'pathway', 'to', 'spongelike', 'porous', 'crystal', 'structures', 'in', 'the', 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1,802.00773 | Nature of the chiral phase transition of two flavour QCD from imaginary
chemical potential with HISQ fermions | The nature of the thermal phase transition of two flavor QCD in the chiral
limit has an important implication for the QCD phase diagram. We carry out
lattice QCD simulations in an attempt to address this problem. Simulations are
conducted with a Symanzik-improved gauge action and the HISQ fermion action.
Within the imaginary chemical potential formulation, five different quark
masses, $am=0.020,\, 0.018, \, 0.015, \, 0.013,\, 0.010$, and four different
lattice volumes $N_s=8, \, 12,\, 16, \, 20$ with temporal extent $N_t=4$ are
used to explore the scaling behavior. At each of the quark masses, the Binder
cumulants of the chiral condensate on different lattice volumes approximately
intersect at one point. We find that at the intersection point, the Binder
cumulant $B_4(am,a\mu_c) $ is around $3$ which deviates from the $Z(2)$
universality class value 1.604. However, based on the expectations of $Z(2)$
criticality, the fitting result only with the data from the largest lattice
volume $N_s=20$ agrees well with earlier result [ Phys. Rev., D90, 074030(2014)
]\cite{Bonati:2014kpa}. This fact implies that, although the finite cut-off
effects could be reduced with HISQ fermions even on $N_t=4$ lattices, larger
lattices with spatial extent $N_s>=20$ for such studies are needed to control
finite volume effects.
| hep-lat | the nature of the thermal phase transition of two flavor qcd in the chiral limit has an important implication for the qcd phase diagram we carry out lattice qcd simulations in an attempt to address this problem simulations are conducted with a symanzikimproved gauge action and the hisq fermion action within the imaginary chemical potential formulation five different quark masses am0020 0018 0015 0013 0010 and four different lattice volumes n_s8 12 16 20 with temporal extent n_t4 are used to explore the scaling behavior at each of the quark masses the binder cumulants of the chiral condensate on different lattice volumes approximately intersect at one point we find that at the intersection point the binder cumulant b_4amamu_c is around 3 which deviates from the z2 universality class value 1604 however based on the expectations of z2 criticality the fitting result only with the data from the largest lattice volume n_s20 agrees well with earlier result phys rev d90 0740302014 citebonati2014kpa this fact implies that although the finite cutoff effects could be reduced with hisq fermions even on n_t4 lattices larger lattices with spatial extent n_s20 for such studies are needed to control finite volume effects | [['the', 'nature', 'of', 'the', 'thermal', 'phase', 'transition', 'of', 'two', 'flavor', 'qcd', 'in', 'the', 'chiral', 'limit', 'has', 'an', 'important', 'implication', 'for', 'the', 'qcd', 'phase', 'diagram', 'we', 'carry', 'out', 'lattice', 'qcd', 'simulations', 'in', 'an', 'attempt', 'to', 'address', 'this', 'problem', 'simulations', 'are', 'conducted', 'with', 'a', 'symanzikimproved', 'gauge', 'action', 'and', 'the', 'hisq', 'fermion', 'action', 'within', 'the', 'imaginary', 'chemical', 'potential', 'formulation', 'five', 'different', 'quark', 'masses', 'am0020', '0018', '0015', '0013', '0010', 'and', 'four', 'different', 'lattice', 'volumes', 'n_s8', '12', '16', '20', 'with', 'temporal', 'extent', 'n_t4', 'are', 'used', 'to', 'explore', 'the', 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1,802.00774 | Singularities in Einstein-conformally coupled Higgs cosmological models | The dynamics of Einstein-conformally coupled Higgs field (EccH) system is
investigated near the initial singularities in the presence of
Friedman-Robertson--Walker symmetries. We solve the field equations
asymptotically up to fourth order near the singularities analytically, and
determine the solutions numerically as well. We found all the asymptotic, power
series singular solutions, which are (1) solutions with a scalar polynomial
curvature singularity but the Higgs field is bounded (`Small Bang'), or (2)
solutions with a Milne type singularity with bounded spacetime curvature and
Higgs field, or (3) solutions with a scalar polynomial curvature singularity
and diverging Higgs field (`Big Bang'). Thus, in the present EccH model there
is a new kind of physical spacetime singularity (`Small Bang'). We also show
that, in a neighbourhood of the singularity in these solutions, the Higgs
sector does not have any symmetry breaking instantaneous vacuum state, and
hence then the Brout-Englert-Higgs mechanism does not work. The large scale
behaviour of the solutions is investigated numerically as well. In particular,
the numerical calculations indicate that there are singular solutions that
cannot be approximated by power series.
| gr-qc | the dynamics of einsteinconformally coupled higgs field ecch system is investigated near the initial singularities in the presence of friedmanrobertsonwalker symmetries we solve the field equations asymptotically up to fourth order near the singularities analytically and determine the solutions numerically as well we found all the asymptotic power series singular solutions which are 1 solutions with a scalar polynomial curvature singularity but the higgs field is bounded small bang or 2 solutions with a milne type singularity with bounded spacetime curvature and higgs field or 3 solutions with a scalar polynomial curvature singularity and diverging higgs field big bang thus in the present ecch model there is a new kind of physical spacetime singularity small bang we also show that in a neighbourhood of the singularity in these solutions the higgs sector does not have any symmetry breaking instantaneous vacuum state and hence then the broutenglerthiggs mechanism does not work the large scale behaviour of the solutions is investigated numerically as well in particular the numerical calculations indicate that there are singular solutions that cannot be approximated by power series | [['the', 'dynamics', 'of', 'einsteinconformally', 'coupled', 'higgs', 'field', 'ecch', 'system', 'is', 'investigated', 'near', 'the', 'initial', 'singularities', 'in', 'the', 'presence', 'of', 'friedmanrobertsonwalker', 'symmetries', 'we', 'solve', 'the', 'field', 'equations', 'asymptotically', 'up', 'to', 'fourth', 'order', 'near', 'the', 'singularities', 'analytically', 'and', 'determine', 'the', 'solutions', 'numerically', 'as', 'well', 'we', 'found', 'all', 'the', 'asymptotic', 'power', 'series', 'singular', 'solutions', 'which', 'are', '1', 'solutions', 'with', 'a', 'scalar', 'polynomial', 'curvature', 'singularity', 'but', 'the', 'higgs', 'field', 'is', 'bounded', 'small', 'bang', 'or', '2', 'solutions', 'with', 'a', 'milne', 'type', 'singularity', 'with', 'bounded', 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1,802.00775 | Data-Driven, Physics-Based Feature Extraction from Fluid Flow Fields | Feature identification is an important task in many fluid dynamics
applications and diverse methods have been developed for this purpose. These
methods are based on a physical understanding of the underlying behavior of the
flow in the vicinity of the feature. Particularly, they rely on definition of
suitable criteria (i.e. point-based or neighborhood-based derived properties)
and proper selection of thresholds. For instance, among other techniques,
vortex identification can be done through computing the Q-criterion or by
considering the center of looping streamlines. However, these methods rely on
creative visualization of physical idiosyncrasies of specific features and flow
regimes, making them non-universal and requiring significant effort to develop.
Here we present a physics-based, data-driven method capable of identifying any
flow feature it is trained to. We use convolutional neural networks, a machine
learning approach developed for image recognition, and adapt it to the problem
of identifying flow features. The method was tested using mean flow fields from
numerical simulations, where the recirculation region and boundary layer were
identified in a two-dimensional flow through a convergent-divergent channel,
and the horseshoe vortex was identified in three-dimensional flow over a
wing-body junction. The novelty of the method is its ability to identify any
type of feature, even distinguish between similar ones, without the need to
explicitly define the physics (i.e. through development of suitable criterion
and tunning of threshold). This provides a general method and removes the large
burden placed on identifying new features. We expect this method can supplement
existing techniques and allow for more automatic and discerning feature
detection. The method can be easily extended to time-dependent flows, where it
could be particularly impactful.
| physics.flu-dyn | feature identification is an important task in many fluid dynamics applications and diverse methods have been developed for this purpose these methods are based on a physical understanding of the underlying behavior of the flow in the vicinity of the feature particularly they rely on definition of suitable criteria ie pointbased or neighborhoodbased derived properties and proper selection of thresholds for instance among other techniques vortex identification can be done through computing the qcriterion or by considering the center of looping streamlines however these methods rely on creative visualization of physical idiosyncrasies of specific features and flow regimes making them nonuniversal and requiring significant effort to develop here we present a physicsbased datadriven method capable of identifying any flow feature it is trained to we use convolutional neural networks a machine learning approach developed for image recognition and adapt it to the problem of identifying flow features the method was tested using mean flow fields from numerical simulations where the recirculation region and boundary layer were identified in a twodimensional flow through a convergentdivergent channel and the horseshoe vortex was identified in threedimensional flow over a wingbody junction the novelty of the method is its ability to identify any type of feature even distinguish between similar ones without the need to explicitly define the physics ie through development of suitable criterion and tunning of threshold this provides a general method and removes the large burden placed on identifying new features we expect this method can supplement existing techniques and allow for more automatic and discerning feature detection the method can be easily extended to timedependent flows where it could be particularly impactful | [['feature', 'identification', 'is', 'an', 'important', 'task', 'in', 'many', 'fluid', 'dynamics', 'applications', 'and', 'diverse', 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1,802.00776 | Green Stability Assumption: Unsupervised Learning for Statistics-Based
Illumination Estimation | In the image processing pipeline of almost every digital camera there is a
part dedicated to computational color constancy i.e. to removing the influence
of illumination on the colors of the image scene. Some of the best known
illumination estimation methods are the so called statistics-based methods.
They are less accurate than the learning-based illumination estimation methods,
but they are faster and simpler to implement in embedded systems, which is one
of the reasons for their widespread usage. Although in the relevant literature
it often appears as if they require no training, this is not true because they
have parameter values that need to be fine-tuned in order to be more accurate.
In this paper it is first shown that the accuracy of statistics-based methods
reported in most papers was not obtained by means of the necessary
cross-validation, but by using the whole benchmark datasets for both training
and testing. After that the corrected results are given for the best known
benchmark datasets. Finally, the so called green stability assumption is
proposed that can be used to fine-tune the values of the parameters of the
statistics-based methods by using only non-calibrated images without known
ground-truth illumination. The obtained accuracy is practically the same as
when using calibrated training images, but the whole process is much faster.
The experimental results are presented and discussed. The source code is
available at http://www.fer.unizg.hr/ipg/resources/color_constancy/.
| cs.CV | in the image processing pipeline of almost every digital camera there is a part dedicated to computational color constancy ie to removing the influence of illumination on the colors of the image scene some of the best known illumination estimation methods are the so called statisticsbased methods they are less accurate than the learningbased illumination estimation methods but they are faster and simpler to implement in embedded systems which is one of the reasons for their widespread usage although in the relevant literature it often appears as if they require no training this is not true because they have parameter values that need to be finetuned in order to be more accurate in this paper it is first shown that the accuracy of statisticsbased methods reported in most papers was not obtained by means of the necessary crossvalidation but by using the whole benchmark datasets for both training and testing after that the corrected results are given for the best known benchmark datasets finally the so called green stability assumption is proposed that can be used to finetune the values of the parameters of the statisticsbased methods by using only noncalibrated images without known groundtruth illumination the obtained accuracy is practically the same as when using calibrated training images but the whole process is much faster the experimental results are presented and discussed the source code is available at httpwwwferunizghripgresourcescolor_constancy | [['in', 'the', 'image', 'processing', 'pipeline', 'of', 'almost', 'every', 'digital', 'camera', 'there', 'is', 'a', 'part', 'dedicated', 'to', 'computational', 'color', 'constancy', 'ie', 'to', 'removing', 'the', 'influence', 'of', 'illumination', 'on', 'the', 'colors', 'of', 'the', 'image', 'scene', 'some', 'of', 'the', 'best', 'known', 'illumination', 'estimation', 'methods', 'are', 'the', 'so', 'called', 'statisticsbased', 'methods', 'they', 'are', 'less', 'accurate', 'than', 'the', 'learningbased', 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1,802.00777 | Compendium of Front-End Electronics | Our world is changing fast. On one hand, technological developments provide
us with new and powerful electronics devices on almost a weekly basis. On the
other hand, the end-user of these electronics is now rarely required to
actually configure the devices, as everything is automated. This
"de-empowerment" of the end-user may be detrimental to the scientific
community. This is because the unique conditions in which a scientific
measurement is performed require the end-user to have unrestricted access to
every variable of the experimental setup. In this compendium, a general
overview of some popular electronic modules is presented, and the different
characteristics the end- user should take into consideration when
buying/designing electronics systems for a new experimental application are
discussed.
| physics.ins-det | our world is changing fast on one hand technological developments provide us with new and powerful electronics devices on almost a weekly basis on the other hand the enduser of these electronics is now rarely required to actually configure the devices as everything is automated this deempowerment of the enduser may be detrimental to the scientific community this is because the unique conditions in which a scientific measurement is performed require the enduser to have unrestricted access to every variable of the experimental setup in this compendium a general overview of some popular electronic modules is presented and the different characteristics the end user should take into consideration when buyingdesigning electronics systems for a new experimental application are discussed | [['our', 'world', 'is', 'changing', 'fast', 'on', 'one', 'hand', 'technological', 'developments', 'provide', 'us', 'with', 'new', 'and', 'powerful', 'electronics', 'devices', 'on', 'almost', 'a', 'weekly', 'basis', 'on', 'the', 'other', 'hand', 'the', 'enduser', 'of', 'these', 'electronics', 'is', 'now', 'rarely', 'required', 'to', 'actually', 'configure', 'the', 'devices', 'as', 'everything', 'is', 'automated', 'this', 'deempowerment', 'of', 'the', 'enduser', 'may', 'be', 'detrimental', 'to', 'the', 'scientific', 'community', 'this', 'is', 'because', 'the', 'unique', 'conditions', 'in', 'which', 'a', 'scientific', 'measurement', 'is', 'performed', 'require', 'the', 'enduser', 'to', 'have', 'unrestricted', 'access', 'to', 'every', 'variable', 'of', 'the', 'experimental', 'setup', 'in', 'this', 'compendium', 'a', 'general', 'overview', 'of', 'some', 'popular', 'electronic', 'modules', 'is', 'presented', 'and', 'the', 'different', 'characteristics', 'the', 'end', 'user', 'should', 'take', 'into', 'consideration', 'when', 'buyingdesigning', 'electronics', 'systems', 'for', 'a', 'new', 'experimental', 'application', 'are', 'discussed']] | [-0.11854920990796936, 0.0746575192325454, -0.088175345522662, 0.04335096103445683, -0.16109716699410898, -0.1872358129431422, 0.04346677088815496, 0.3899955140958086, -0.2462467357245648, -0.3011970463184974, 0.16636076767015487, -0.25583359991119675, -0.12164294853424415, 0.2748258731717992, -0.09624464518955758, 0.04303639131383254, 0.08516378519244683, 0.04181737430681252, -0.02894396463341406, -0.26010656210347116, 0.2597582582762449, 0.0792760720046667, 0.3251849017941799, 0.08539264027475037, 0.06479141686477849, -0.002750363479503709, -0.04146399862694148, -0.02376181810982844, -0.07476801486809252, 0.15679445861576077, 0.3236293033756411, 0.14764611208493, 0.3222989012670313, -0.4744789006164134, -0.17800246367756373, 0.04538961414757193, 0.10976117635623385, 0.09518644955849004, -0.07982932010657576, -0.27873222096464956, 0.07973509044267046, -0.1830892698186585, -0.10636841620763358, -0.07602485749297418, 0.01232463500709233, 0.041682887472148634, -0.23016134031817445, -0.06989329375931595, -0.0035967837191290325, 0.057536493915204816, -0.024273975114746053, -0.11413277925935407, 0.02999079532117352, 0.17853106541532235, 0.013821380043752555, 0.02063508581222855, 0.16554688139665377, -0.11126844394896339, -0.10861244131850763, 0.4057763319971979, 0.04860679303399391, -0.17852553128240964, 0.2288312269006577, -0.12284111688072738, -0.1849857304428314, 0.07411385307876536, 0.18486996981788936, 0.05654009987210107, -0.20820223180933867, 0.06524185620499058, -0.0014720387820504669, 0.16984142536599922, -0.005836643380089066, 0.0810528468588391, 0.2237964965040899, 0.22356856496343946, 0.09066465941584136, 0.10796624484708787, -0.006948695344945941, -0.06245999412340486, -0.2900582591437886, -0.19742575105136403, -0.15457251346988493, 0.055006678176359236, -0.016162841385538872, -0.16142984150916848, 0.4338535349020082, 0.21224754380010483, 0.12472815599897479, -0.03139351495107811, 0.3641296648858195, 0.06944328084842771, 0.12095129933470908, 0.01701186405112728, 0.22242050497164814, 0.03755226186536348, 0.18429906435836202, -0.1147653911756272, 0.11870574665407085, -0.03600606206868194] |
1,802.00778 | Where the Solar system meets the solar neighbourhood: patterns in the
distribution of radiants of observed hyperbolic minor bodies | Observed hyperbolic minor bodies might have an interstellar origin, but they
can be natives of the Solar system as well. Fly-bys with the known planets or
the Sun may result in the hyperbolic ejection of an originally bound minor
body; in addition, members of the Oort cloud could be forced to follow inbound
hyperbolic paths as a result of secular perturbations induced by the Galactic
disc or, less frequently, due to impulsive interactions with passing stars.
These four processes must leave distinctive signatures in the distribution of
radiants of observed hyperbolic objects, both in terms of coordinates and
velocity. Here, we perform a systematic numerical exploration of the past
orbital evolution of known hyperbolic minor bodies using a full N-body approach
and statistical analyses to study their radiants. Our results confirm the
theoretical expectations that strong anisotropies are present in the data. We
also identify a statistically significant overdensity of high-speed radiants
towards the constellation of Gemini that could be due to the closest and most
recent known fly-by of a star to the Solar system, that of the so-called
Scholz's star. In addition to and besides 1I/2017 U1 (`Oumuamua), we single out
eight candidate interstellar comets based on their radiants' velocities.
| astro-ph.EP | observed hyperbolic minor bodies might have an interstellar origin but they can be natives of the solar system as well flybys with the known planets or the sun may result in the hyperbolic ejection of an originally bound minor body in addition members of the oort cloud could be forced to follow inbound hyperbolic paths as a result of secular perturbations induced by the galactic disc or less frequently due to impulsive interactions with passing stars these four processes must leave distinctive signatures in the distribution of radiants of observed hyperbolic objects both in terms of coordinates and velocity here we perform a systematic numerical exploration of the past orbital evolution of known hyperbolic minor bodies using a full nbody approach and statistical analyses to study their radiants our results confirm the theoretical expectations that strong anisotropies are present in the data we also identify a statistically significant overdensity of highspeed radiants towards the constellation of gemini that could be due to the closest and most recent known flyby of a star to the solar system that of the socalled scholzs star in addition to and besides 1i2017 u1 oumuamua we single out eight candidate interstellar comets based on their radiants velocities | [['observed', 'hyperbolic', 'minor', 'bodies', 'might', 'have', 'an', 'interstellar', 'origin', 'but', 'they', 'can', 'be', 'natives', 'of', 'the', 'solar', 'system', 'as', 'well', 'flybys', 'with', 'the', 'known', 'planets', 'or', 'the', 'sun', 'may', 'result', 'in', 'the', 'hyperbolic', 'ejection', 'of', 'an', 'originally', 'bound', 'minor', 'body', 'in', 'addition', 'members', 'of', 'the', 'oort', 'cloud', 'could', 'be', 'forced', 'to', 'follow', 'inbound', 'hyperbolic', 'paths', 'as', 'a', 'result', 'of', 'secular', 'perturbations', 'induced', 'by', 'the', 'galactic', 'disc', 'or', 'less', 'frequently', 'due', 'to', 'impulsive', 'interactions', 'with', 'passing', 'stars', 'these', 'four', 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1,802.00779 | Takagi lectures on Donaldson-Thomas theory | These are the notes for my 2017 Takagi lectures on DT counts of curves in
algebraic threefolds. We discuss the fundamentals of the subject, its origins,
open questions, and certain recent advances.
| math.AG math-ph math.MP | these are the notes for my 2017 takagi lectures on dt counts of curves in algebraic threefolds we discuss the fundamentals of the subject its origins open questions and certain recent advances | [['these', 'are', 'the', 'notes', 'for', 'my', '2017', 'takagi', 'lectures', 'on', 'dt', 'counts', 'of', 'curves', 'in', 'algebraic', 'threefolds', 'we', 'discuss', 'the', 'fundamentals', 'of', 'the', 'subject', 'its', 'origins', 'open', 'questions', 'and', 'certain', 'recent', 'advances']] | [-0.14052415179321542, 0.07100714673288167, -0.09151013870723546, 0.1055099795339629, -0.11369181162444875, -0.07907798404630739, 0.012660160176892532, 0.2989234261767706, -0.2196183460764587, -0.2807016804581508, 0.22161469683851465, -0.33729597643832676, -0.20266501989681274, 0.24371145592886023, -0.2484705998795107, 0.009344726260678726, 0.04981367735308595, -0.005268634820822626, -0.08218391909031197, -0.5108055623131804, 0.3702686390315648, 0.039612507811398245, 0.24002004772046348, 0.12986503675347194, 0.12730750639457256, -0.0192260914191138, -0.13826379741658457, -0.08862400108773727, -0.25334541927441023, 0.23393834743183106, 0.32282133592525497, 0.1438980294369685, 0.24879352696007118, -0.48557442310266197, -0.13665831947582774, 0.011646972940070555, 0.013330364439752884, 0.05014146165922284, -0.021564403006777866, -0.2889963425695896, -0.002830219629686326, -0.05365310574779869, -0.14971394109306857, -0.014346675568958744, 0.0850486671561157, 0.13941766120842658, -0.04591254997285432, 0.00521989501430653, 0.06397004894097336, 0.16336509041138925, -0.04472525521487114, -0.19622025878561544, 0.06174564144748729, 0.07404362660599872, 0.06799554680037545, 0.06314595376898069, 0.06897734141966794, -0.16766087844735011, -0.18200748902745545, 0.3315939713502303, 0.022418975975597277, -0.06924573831201997, 0.13620380026986822, -0.0976296033768449, -0.2610324224078795, 0.054375008563511074, 0.2028528360533528, 0.12547616683878005, -0.1150708936038427, 0.16374851178079552, -0.04792408631919898, 0.07157151664068806, 0.08707361311826389, 0.015983205405063927, 0.28665876387094613, 0.06534588828799315, -0.1250729027815396, 0.032641028901707614, -0.01891851508844411, -0.0906162889150437, -0.418910258973483, -0.12614975184260402, -0.06581267132423818, 0.11907093913760036, 0.07509733678352859, -0.08245562791125849, 0.4530584564199671, 0.1400835319655016, 0.2022174921585247, -0.00777396812918596, 0.16444398334715515, 0.09553369096829556, -0.08576687686581863, 0.021225955948466435, 0.12765313556883484, 0.1878985692601418, 0.14115732828213368, -0.0896788464160636, -0.04113319329553633, 0.1431334748340305] |
1,802.0078 | Counting integer points on quadrics with arithmetic weights | Let $F \in \mathbf{Z}[\boldsymbol{x}]$ be a diagonal, non-singular quadratic
form in $4$ variables. Let $\lambda(n)$ be the normalised Fourier coefficients
of a holomorphic Hecke form of full level. We give an upper bound for the
problem of counting integer zeros of $F$ with $|\boldsymbol{x}| \leq X$,
weighted by $\lambda(x_1)$.
| math.NT | let f in mathbfzboldsymbolx be a diagonal nonsingular quadratic form in 4 variables let lambdan be the normalised fourier coefficients of a holomorphic hecke form of full level we give an upper bound for the problem of counting integer zeros of f with boldsymbolx leq x weighted by lambdax_1 | [['let', 'f', 'in', 'mathbfzboldsymbolx', 'be', 'a', 'diagonal', 'nonsingular', 'quadratic', 'form', 'in', '4', 'variables', 'let', 'lambdan', 'be', 'the', 'normalised', 'fourier', 'coefficients', 'of', 'a', 'holomorphic', 'hecke', 'form', 'of', 'full', 'level', 'we', 'give', 'an', 'upper', 'bound', 'for', 'the', 'problem', 'of', 'counting', 'integer', 'zeros', 'of', 'f', 'with', 'boldsymbolx', 'leq', 'x', 'weighted', 'by', 'lambdax_1']] | [-0.2290208312345946, 0.12753890963312128, -0.08289051728640148, -0.013696555186934928, -0.06830814849347511, -0.16700758648283304, 0.017596491077478897, 0.2505397886988964, -0.3001533158004601, -0.21164154843922625, 0.048205398899958805, -0.31295220839216353, -0.12254924109165972, 0.19023699615091244, -0.044786000465776056, 0.01639397125294868, -0.003540499096221112, 0.1471661562694514, -0.14001263609710843, -0.3237347315521316, 0.2991589784146623, -0.06324888592427398, 0.10052674885670793, 0.03600124608566786, 0.07366275256301494, 0.06813782038404903, 0.048030670098167784, -0.09035635435398906, -0.17413836518956466, 0.11841008181812519, 0.3331537908933898, 0.09475154287003457, 0.28501438290039277, -0.3865165176623045, -0.07824910747660126, 0.28474995539464215, 0.18761634700832533, -0.14318848030760567, 0.036327067722982546, -0.23287326862361837, 0.13560479086021238, -0.09184349193534952, -0.17553100756746023, -0.06690477940967267, 0.09861433002701465, 0.04158673377985016, -0.40654933626981493, 0.08478808967753294, 0.10282306574245399, 0.1138063302168256, -0.030785124600329932, -0.22918807790475956, -0.022955679631930716, 0.01866690891775045, -0.06618984472601021, 0.11152612032836917, 0.01895355543200957, -0.07657353027149084, -0.06261727558151681, 0.29632853890987154, -0.14820683808957644, -0.30047797566240136, -0.0671808147168857, -0.23672593972506992, -0.12152392276503304, 0.13315585604373445, 0.17281746309488377, 0.16317222972816608, -0.06007242767496946, 0.2772804027859201, -0.14913761685106983, 0.14112185310334602, 0.12595107981023637, -0.03520780936517614, 0.16872522794701, -0.005016995435382457, 0.10186090546244002, 0.1426364485758971, -0.0008962456374726397, 0.0519569747823667, -0.3786820789917986, -0.15596349402256507, -0.22444665496376284, 0.21335226559684553, -0.17426455644098052, -0.1925890452248302, 0.3365313016333954, 0.023849124960759853, 0.25764673052633064, 0.16342055207078762, 0.17821830897492932, 0.2345452368893522, 0.025036268768475412, 0.06087897410814432, 0.01494792045312042, 0.23264635893754027, -0.09706433212503474, -0.1367286798801828, 0.009108144433257427, 0.2095050503242206] |
1,802.00781 | Universal reflective-hierarchical structure of quasiperiodic
eigenfunctions and sharp spectral transition in phase | We prove sharp spectral transition in the arithmetics of phase between
localization and singular continuous spectrum for Diophantine almost Mathieu
operators. We also determine exact exponential asymptotics of eigenfunctions
and of corresponding transfer matrices throughout the localization region. This
uncovers a universal structure in their behavior governed by the exponential
phase resonances. The structure features a new type of hierarchy, where
self-similarity holds upon alternating reflections.
| math-ph math.MP | we prove sharp spectral transition in the arithmetics of phase between localization and singular continuous spectrum for diophantine almost mathieu operators we also determine exact exponential asymptotics of eigenfunctions and of corresponding transfer matrices throughout the localization region this uncovers a universal structure in their behavior governed by the exponential phase resonances the structure features a new type of hierarchy where selfsimilarity holds upon alternating reflections | [['we', 'prove', 'sharp', 'spectral', 'transition', 'in', 'the', 'arithmetics', 'of', 'phase', 'between', 'localization', 'and', 'singular', 'continuous', 'spectrum', 'for', 'diophantine', 'almost', 'mathieu', 'operators', 'we', 'also', 'determine', 'exact', 'exponential', 'asymptotics', 'of', 'eigenfunctions', 'and', 'of', 'corresponding', 'transfer', 'matrices', 'throughout', 'the', 'localization', 'region', 'this', 'uncovers', 'a', 'universal', 'structure', 'in', 'their', 'behavior', 'governed', 'by', 'the', 'exponential', 'phase', 'resonances', 'the', 'structure', 'features', 'a', 'new', 'type', 'of', 'hierarchy', 'where', 'selfsimilarity', 'holds', 'upon', 'alternating', 'reflections']] | [-0.18141687852612726, 0.12731100536113832, -0.10331260398114947, 0.1115806630978389, -0.05389349209497485, -0.11973773817898649, 0.06959408671228272, 0.3451157989206188, -0.31945926930303825, -0.20986027432125853, 0.08970178560367927, -0.25255005281757226, -0.21390695842053514, 0.14600143796115211, -0.007164178236659306, 0.08356817857764492, 0.0031208831915688334, 0.04198684582881855, -0.1596823831117063, -0.13556507724393724, 0.3744629910497954, -0.008318816551543547, 0.2738881576453533, 0.045394249154593454, 0.0572144889103418, 0.004658652966926721, 0.004421728550258911, -0.08426872410134158, -0.13733898676141645, 0.11664074792784188, 0.2509107192921819, 0.04409913310541235, 0.19071955689595957, -0.3616897016410913, -0.17176255425720505, 0.11049725534747157, 0.22728340526704083, 0.04870859823175565, -0.04165489600872564, -0.3124188875469069, 0.06730411358346994, -0.12034883827083942, -0.19386831986379216, -0.06970757615724296, 0.021208303839419827, 0.042925661906007335, -0.254704147882435, 0.12746611450733547, 0.1487783608838182, 0.07513246241477177, -0.09095790729660427, -0.046257381860138565, 0.03283307898902532, 0.13178385370834308, 0.001710866902475104, -0.09275695904348553, 0.04396743644875559, -0.11473619185430421, -0.08891277267089621, 0.29804093402344733, -0.057797799994604604, -0.1416230924766172, 0.12549810113639318, -0.2049125482920896, -0.12553650417336912, 0.16728242586903047, 0.12330591151928247, 0.09984649849039587, -0.06791299528082494, 0.16997738990925648, -0.03594754667331775, 0.1675568187016655, 0.12680621651198828, 0.04031184215493726, 0.11144416056799167, 0.0912284766972968, 0.10282807970758188, 0.1599188682016437, -0.0108648258416603, -0.12959966977888887, -0.3056328742567337, -0.11126412065156426, -0.19223869009169214, 0.0808259485162456, -0.14913904101713066, -0.26227183846023044, 0.49182953414591873, 0.06805091876197945, 0.26547481971933984, 0.08507762410480416, 0.17566352005285973, 0.1667913453597011, 0.02427464219473415, 0.0592969999281305, 0.18866463395004923, 0.16504505519741075, 0.10641686966868513, -0.23767257354814897, 0.0446186667929093, 0.174994849973838] |
1,802.00782 | Detailed Opacity Calculations for Stellar Models | Radiative opacity is an important quantity in the modeling of stellar
structure and evolution. In the present work we recall the role of opacity in
the interpretation of pulsations of different kinds of stars. The detailed
opacity code SCO-RCG for local-thermodynamic-equilibrium (LTE) plasmas is
described, as well as the OPAMCDF project dedicated to the spectroscopy of LTE
and non-LTE plasmas. Interpretations, with the latter codes, of several laser
and Z pinch experiments in conditions relevant to astrophysical applications
are also presented and our work in progress as concerns the internal solar
conditions is illustrated.
| astro-ph.SR physics.atom-ph | radiative opacity is an important quantity in the modeling of stellar structure and evolution in the present work we recall the role of opacity in the interpretation of pulsations of different kinds of stars the detailed opacity code scorcg for localthermodynamicequilibrium lte plasmas is described as well as the opamcdf project dedicated to the spectroscopy of lte and nonlte plasmas interpretations with the latter codes of several laser and z pinch experiments in conditions relevant to astrophysical applications are also presented and our work in progress as concerns the internal solar conditions is illustrated | [['radiative', 'opacity', 'is', 'an', 'important', 'quantity', 'in', 'the', 'modeling', 'of', 'stellar', 'structure', 'and', 'evolution', 'in', 'the', 'present', 'work', 'we', 'recall', 'the', 'role', 'of', 'opacity', 'in', 'the', 'interpretation', 'of', 'pulsations', 'of', 'different', 'kinds', 'of', 'stars', 'the', 'detailed', 'opacity', 'code', 'scorcg', 'for', 'localthermodynamicequilibrium', 'lte', 'plasmas', 'is', 'described', 'as', 'well', 'as', 'the', 'opamcdf', 'project', 'dedicated', 'to', 'the', 'spectroscopy', 'of', 'lte', 'and', 'nonlte', 'plasmas', 'interpretations', 'with', 'the', 'latter', 'codes', 'of', 'several', 'laser', 'and', 'z', 'pinch', 'experiments', 'in', 'conditions', 'relevant', 'to', 'astrophysical', 'applications', 'are', 'also', 'presented', 'and', 'our', 'work', 'in', 'progress', 'as', 'concerns', 'the', 'internal', 'solar', 'conditions', 'is', 'illustrated']] | [-0.07249239609847145, 0.10083479963644203, -0.020847400580282494, 0.08741984977912638, -0.022192532141562752, -0.060274377996001834, 0.004857564572825707, 0.3931167295943665, -0.18704479057542098, -0.3277432980436471, 0.092538521723992, -0.2326387352440306, -0.07364798652856881, 0.24315302650774678, -0.027543966137673907, 0.08593665082408215, 0.07724452196365042, -0.07152628889107095, -0.019530196363727253, -0.216001615967221, 0.34249544358857337, 0.1932291952212171, 0.18453993350868264, 0.08387151736045076, -0.0008783133735539772, -0.090007266922233, -0.12001704946861312, -0.04164647555194034, -0.14565668911022203, 0.061154691312181694, 0.27666639178110064, 0.15423861664709865, 0.20456649908064914, -0.4150713770399972, -0.2967667540595416, -0.024999317269952546, 0.13591306666613265, 0.09046030227815913, -0.06199207705175204, -0.21751804475582415, 0.020974602149699324, -0.17796149064776717, -0.12954851215384822, -0.02820690290661909, 0.0323013844349051, 0.03897142225015227, -0.2707536018945487, 0.03497513252033812, 0.06342826771264475, 0.14945971677380224, -0.09726770143074695, -0.1426532613138558, -0.04981135733185276, 0.13143618262663323, 0.04091496513130003, -0.011765890354190463, 0.12005681905554988, -0.1421550101530488, -0.06626641592110998, 0.4607311546632279, -0.0990316575312967, -0.10096967585074405, 0.2015510238406639, -0.129440236300911, -0.17171710722088332, 0.075880380207172, 0.16638719769675406, 0.14490395644178955, -0.1565360271688601, 0.07005546838854082, -0.008398919431392544, 0.13711045234293867, 0.05278764066526726, 0.07334544227748949, 0.2261787872180663, 0.17427209097771876, -0.029876012925899798, 0.1023700584967931, -0.11829429043341748, -0.08535766156430366, -0.3030889055701674, -0.17391496551753852, -0.10125069261117968, 0.05046947508729914, -0.04062651501285033, -0.16025280721125104, 0.3727298035857178, 0.2069006228659262, 0.14553622046225173, -0.061184647212666206, 0.33998355033096445, 0.08666760392577177, 0.02197077809282208, 0.06563961628564102, 0.24630306288599968, 0.19274552505591983, 0.15107228592919406, -0.2565237302883899, 0.058379728442198166, 0.03643216119618506] |
1,802.00783 | Some Ulam's reconstruction problems for quantum states | Provided a complete set of putative $k$-body reductions of a multipartite
quantum state, can one determine if a joint state exists? We derive necessary
conditions for this to be true. In contrast to what is known as the quantum
marginal problem, we consider a setting where the labeling of the subsystems is
unknown. The problem can be seen in analogy to Ulam's reconstruction conjecture
in graph theory. The conjecture - still unsolved - claims that every graph on
at least three vertices can uniquely be reconstructed from the set of its
vertex-deleted subgraphs. When considering quantum states, we demonstrate that
the non-existence of joint states can, in some cases, already be inferred from
a set of marginals having the size of just more than half of the parties. We
apply these methods to graph states, where many constraints can be evaluated by
knowing the number of stabilizer elements of certain weights that appear in the
reductions. This perspective links with constraints that were derived in the
context of quantum error-correcting codes and polynomial invariants. Some of
these constraints can be interpreted as monogamy-like relations that limit the
correlations arising from quantum states. Lastly, we provide an answer to
Ulam's reconstruction problem for generic quantum states.
| quant-ph math.CO | provided a complete set of putative kbody reductions of a multipartite quantum state can one determine if a joint state exists we derive necessary conditions for this to be true in contrast to what is known as the quantum marginal problem we consider a setting where the labeling of the subsystems is unknown the problem can be seen in analogy to ulams reconstruction conjecture in graph theory the conjecture still unsolved claims that every graph on at least three vertices can uniquely be reconstructed from the set of its vertexdeleted subgraphs when considering quantum states we demonstrate that the nonexistence of joint states can in some cases already be inferred from a set of marginals having the size of just more than half of the parties we apply these methods to graph states where many constraints can be evaluated by knowing the number of stabilizer elements of certain weights that appear in the reductions this perspective links with constraints that were derived in the context of quantum errorcorrecting codes and polynomial invariants some of these constraints can be interpreted as monogamylike relations that limit the correlations arising from quantum states lastly we provide an answer to ulams reconstruction problem for generic quantum states | [['provided', 'a', 'complete', 'set', 'of', 'putative', 'kbody', 'reductions', 'of', 'a', 'multipartite', 'quantum', 'state', 'can', 'one', 'determine', 'if', 'a', 'joint', 'state', 'exists', 'we', 'derive', 'necessary', 'conditions', 'for', 'this', 'to', 'be', 'true', 'in', 'contrast', 'to', 'what', 'is', 'known', 'as', 'the', 'quantum', 'marginal', 'problem', 'we', 'consider', 'a', 'setting', 'where', 'the', 'labeling', 'of', 'the', 'subsystems', 'is', 'unknown', 'the', 'problem', 'can', 'be', 'seen', 'in', 'analogy', 'to', 'ulams', 'reconstruction', 'conjecture', 'in', 'graph', 'theory', 'the', 'conjecture', 'still', 'unsolved', 'claims', 'that', 'every', 'graph', 'on', 'at', 'least', 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1,802.00784 | Energetics of oxygen-octahedra rotations in perovskite oxides from first
principles | We use first-principles methods to study oxygen-octahedra rotations in ABO3
perovskite oxides. We focus on the short-period, perfectly antiphase or
in-phase, tilt patterns that characterize most compounds and control their
physical (e.g., conductive, magnetic) properties. Based on an analytical form
of the relevant potential energy surface, we discuss the conditions for the
stability of polymorphs presenting different tilt patterns, and obtain
numerical results for a collection of thirty-five representative materials. Our
results reveal the mechanisms responsible for the frequent occurrence of a
particular structure that combines antiphase and in-phase rotations, i.e., the
orthorhombic Pbnm phase displayed by about half of all perovskite oxides and by
many non-oxidic perovskites. The Pbnm phase benefits from the simultaneous
occurrence of antiphase and in-phase tilt patterns that compete with each
other, but not as strongly as to be mutually exclusive. We also find that
secondary antipolar modes, involving the A cations, contribute to weaken the
competition between different tilts and play a key role in their coexistence.
Our results thus confirm and better explain previous observations for
particular compounds. Interestingly, we also find that strain effects, which
are known to be a major factor governing phase competition in related (e.g.,
ferroelectric) perovskite oxides, play no essential role as regards the
relative stability of different rotational polymorphs. Further, we discuss why
the Pbnm structure stops being the ground state in two opposite limits, for
large and small A cations, showing that very different effects become relevant
in each case. Our work thus provides a comprehensive discussion on these
all-important and abundant materials, which will be useful to better understand
existing compounds as well as to identify new strategies for materials
engineering.
| cond-mat.mtrl-sci | we use firstprinciples methods to study oxygenoctahedra rotations in abo3 perovskite oxides we focus on the shortperiod perfectly antiphase or inphase tilt patterns that characterize most compounds and control their physical eg conductive magnetic properties based on an analytical form of the relevant potential energy surface we discuss the conditions for the stability of polymorphs presenting different tilt patterns and obtain numerical results for a collection of thirtyfive representative materials our results reveal the mechanisms responsible for the frequent occurrence of a particular structure that combines antiphase and inphase rotations ie the orthorhombic pbnm phase displayed by about half of all perovskite oxides and by many nonoxidic perovskites the pbnm phase benefits from the simultaneous occurrence of antiphase and inphase tilt patterns that compete with each other but not as strongly as to be mutually exclusive we also find that secondary antipolar modes involving the a cations contribute to weaken the competition between different tilts and play a key role in their coexistence our results thus confirm and better explain previous observations for particular compounds interestingly we also find that strain effects which are known to be a major factor governing phase competition in related eg ferroelectric perovskite oxides play no essential role as regards the relative stability of different rotational polymorphs further we discuss why the pbnm structure stops being the ground state in two opposite limits for large and small a cations showing that very different effects become relevant in each case our work thus provides a comprehensive discussion on these allimportant and abundant materials which will be useful to better understand existing compounds as well as to identify new strategies for materials engineering | [['we', 'use', 'firstprinciples', 'methods', 'to', 'study', 'oxygenoctahedra', 'rotations', 'in', 'abo3', 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1,802.00785 | Brownian motion in attenuated or renormalized inverse-square Poisson
potential | We consider the parabolic Anderson problem with random potentials having
inverse-square singularities around the points of a standard Poisson point
process in $\mathbb{R}^d$, $d \geq 3$. The potentials we consider are obtained
via superposition of translations over the points of the Poisson point process
of a kernel $\mathfrak{K}$ behaving as $\mathfrak{K}(x) \approx \theta
|x|^{-2}$ near the origin, where $\theta \in (0,(d-2)^2/16]$. In order to make
sense of the corresponding path integrals, we require the potential to be
either attenuated (meaning that $\mathfrak{K}$ is integrable at infinity) or,
when $d=3$, renormalized, as introduced by Chen and Kulik in [8]. Our main
results include existence and large-time asymptotics of non-negative solutions
via Feynman-Kac representation. In particular, we settle for the renormalized
potential in $d=3$ the problem with critical parameter $\theta = 1/16$, left
open by Chen and Rosinski in [arXiv:1103.5717].
| math.PR | we consider the parabolic anderson problem with random potentials having inversesquare singularities around the points of a standard poisson point process in mathbbrd d geq 3 the potentials we consider are obtained via superposition of translations over the points of the poisson point process of a kernel mathfrakk behaving as mathfrakkx approx theta x2 near the origin where theta in 0d2216 in order to make sense of the corresponding path integrals we require the potential to be either attenuated meaning that mathfrakk is integrable at infinity or when d3 renormalized as introduced by chen and kulik in 8 our main results include existence and largetime asymptotics of nonnegative solutions via feynmankac representation in particular we settle for the renormalized potential in d3 the problem with critical parameter theta 116 left open by chen and rosinski in arxiv11035717 | [['we', 'consider', 'the', 'parabolic', 'anderson', 'problem', 'with', 'random', 'potentials', 'having', 'inversesquare', 'singularities', 'around', 'the', 'points', 'of', 'a', 'standard', 'poisson', 'point', 'process', 'in', 'mathbbrd', 'd', 'geq', '3', 'the', 'potentials', 'we', 'consider', 'are', 'obtained', 'via', 'superposition', 'of', 'translations', 'over', 'the', 'points', 'of', 'the', 'poisson', 'point', 'process', 'of', 'a', 'kernel', 'mathfrakk', 'behaving', 'as', 'mathfrakkx', 'approx', 'theta', 'x2', 'near', 'the', 'origin', 'where', 'theta', 'in', '0d2216', 'in', 'order', 'to', 'make', 'sense', 'of', 'the', 'corresponding', 'path', 'integrals', 'we', 'require', 'the', 'potential', 'to', 'be', 'either', 'attenuated', 'meaning', 'that', 'mathfrakk', 'is', 'integrable', 'at', 'infinity', 'or', 'when', 'd3', 'renormalized', 'as', 'introduced', 'by', 'chen', 'and', 'kulik', 'in', '8', 'our', 'main', 'results', 'include', 'existence', 'and', 'largetime', 'asymptotics', 'of', 'nonnegative', 'solutions', 'via', 'feynmankac', 'representation', 'in', 'particular', 'we', 'settle', 'for', 'the', 'renormalized', 'potential', 'in', 'd3', 'the', 'problem', 'with', 'critical', 'parameter', 'theta', '116', 'left', 'open', 'by', 'chen', 'and', 'rosinski', 'in', 'arxiv11035717']] | [-0.12156317528309439, 0.1052196901526177, -0.04742191348193603, 0.04052579945224053, -0.03875807168156798, -0.17516954245963204, 0.049487705118328666, 0.3313962463984516, -0.2840059962568443, -0.20474431633170861, 0.10003167312720847, -0.3341878760300243, -0.15272605256698749, 0.1474971372005182, -0.05529618576697227, 0.060157847514292644, 0.0060346352228366614, 0.058456134419443445, -0.06460337035893116, -0.2513549201044518, 0.36933250463942985, -0.020365999219244094, 0.15463199741693576, 0.0327754573472567, 0.09712710035765029, 0.047374631055811446, 0.0053584193480687575, -0.03727340331707678, -0.14542380025561025, 0.046168872506232625, 0.23130305694527367, 0.018248700689691217, 0.2614250570924869, -0.37247142315244497, -0.17405468995557793, 0.15099990415498057, 0.18064185739807617, 0.021364095141249363, 0.00565528958938571, -0.3021284489294709, 0.10189322098644811, -0.10465135597693387, -0.24475301436927002, -0.04905064799475359, 0.06091672301278519, 0.05207321945744664, -0.2928716207284536, 0.11054256714102048, 0.0903674576343767, 0.04995928642534609, -0.07216561558211583, -0.12517330027532889, -0.0048754090537080795, 0.06314223309489725, 0.05532775108950949, 0.08764633932498408, 0.05046545998401829, -0.12817140331894938, -0.11319588967894356, 0.35528941387866636, -0.08477271672637104, -0.25797876525920493, 0.14278786077942532, -0.18303327051811477, -0.10717754440778282, 0.1059546467514514, 0.11168753578146892, 0.12402011042307895, -0.11310117431004521, 0.2111955124649407, -0.012367771616129121, 0.05822656545466604, 0.13517819787549384, -0.014375238085110018, 0.14134727189572113, 0.07791361818090081, 0.07561645543536366, 0.12629981182338393, -0.06015839846109721, -0.11222735535502851, -0.353921769047851, -0.14050375150669533, -0.18308708026228515, 0.144201251028328, -0.13145241644478892, -0.17029114759791253, 0.3401515550925327, 0.13792563289918228, 0.25247767319861075, 0.06997423890088476, 0.1686291166445685, 0.15258569271632108, -0.00772387389816455, 0.10474311264554115, 0.15745367304206506, 0.1167210664273476, 0.08550785438230595, -0.15578132399719263, -0.028283676843214502, 0.14887872027622454] |
1,802.00786 | Footprints of leptoquarks: from $ R_{K^{(*)}} $ to $ K \to \pi \nu
\bar\nu $ | Rare $K \to \pi \nu \bar \nu$ decays, being dominated by short distance
contributions within the Standard Model (SM), open a window for New Physics
(NP) searches at low energies. The $ K \to \pi \nu \bar\nu $ branching ratios
are expected to be measured with $ \sim 10\% $ accuracies by NA62/CERN and
KOTO/JPARC. The theoretical uncertainties of branching ratios within the SM are
well under control. In the $ B $ sector, it is tentative to explain the $ B
$-meson anomalies $ R_{D^{(\ast)}} $ and/or $ R_{K^{(\ast)}} $ by effects of
physics beyond the SM. Although NP seems to be present in the third fermion
generation it might also manifest in the flavor changing neutral current
transition $ s \to d $. Together with the anticipated good experimental
sensitivities and accurate theoretical predictions for $ K\to \pi \nu \bar \nu
$, this motivates studies of correlated effects of NP in rare $ K\to \pi \nu
\bar \nu $ and $ B \to K^{(*)} \mu^+ \mu^- $ decays. Here we consider the loop
induced effects in $ K \to \pi \nu \bar\nu $ in two leptoquark models designed
to address lepton-flavor universality violation in the $ R_{K^{(\ast)}} $
anomalies.
| hep-ph | rare k to pi nu bar nu decays being dominated by short distance contributions within the standard model sm open a window for new physics np searches at low energies the k to pi nu barnu branching ratios are expected to be measured with sim 10 accuracies by na62cern and kotojparc the theoretical uncertainties of branching ratios within the sm are well under control in the b sector it is tentative to explain the b meson anomalies r_dast andor r_kast by effects of physics beyond the sm although np seems to be present in the third fermion generation it might also manifest in the flavor changing neutral current transition s to d together with the anticipated good experimental sensitivities and accurate theoretical predictions for kto pi nu bar nu this motivates studies of correlated effects of np in rare kto pi nu bar nu and b to k mu mu decays here we consider the loop induced effects in k to pi nu barnu in two leptoquark models designed to address leptonflavor universality violation in the r_kast anomalies | [['rare', 'k', 'to', 'pi', 'nu', 'bar', 'nu', 'decays', 'being', 'dominated', 'by', 'short', 'distance', 'contributions', 'within', 'the', 'standard', 'model', 'sm', 'open', 'a', 'window', 'for', 'new', 'physics', 'np', 'searches', 'at', 'low', 'energies', 'the', 'k', 'to', 'pi', 'nu', 'barnu', 'branching', 'ratios', 'are', 'expected', 'to', 'be', 'measured', 'with', 'sim', '10', 'accuracies', 'by', 'na62cern', 'and', 'kotojparc', 'the', 'theoretical', 'uncertainties', 'of', 'branching', 'ratios', 'within', 'the', 'sm', 'are', 'well', 'under', 'control', 'in', 'the', 'b', 'sector', 'it', 'is', 'tentative', 'to', 'explain', 'the', 'b', 'meson', 'anomalies', 'r_dast', 'andor', 'r_kast', 'by', 'effects', 'of', 'physics', 'beyond', 'the', 'sm', 'although', 'np', 'seems', 'to', 'be', 'present', 'in', 'the', 'third', 'fermion', 'generation', 'it', 'might', 'also', 'manifest', 'in', 'the', 'flavor', 'changing', 'neutral', 'current', 'transition', 's', 'to', 'd', 'together', 'with', 'the', 'anticipated', 'good', 'experimental', 'sensitivities', 'and', 'accurate', 'theoretical', 'predictions', 'for', 'kto', 'pi', 'nu', 'bar', 'nu', 'this', 'motivates', 'studies', 'of', 'correlated', 'effects', 'of', 'np', 'in', 'rare', 'kto', 'pi', 'nu', 'bar', 'nu', 'and', 'b', 'to', 'k', 'mu', 'mu', 'decays', 'here', 'we', 'consider', 'the', 'loop', 'induced', 'effects', 'in', 'k', 'to', 'pi', 'nu', 'barnu', 'in', 'two', 'leptoquark', 'models', 'designed', 'to', 'address', 'leptonflavor', 'universality', 'violation', 'in', 'the', 'r_kast', 'anomalies']] | [-0.11254094455811851, 0.27435462620236317, -0.007763773095079655, 0.1289988622990098, -0.0503627536672866, -0.21756234573761254, 0.14107796242487067, 0.2687879658558152, -0.25866494746085, -0.2611748469697142, -0.03863188155215043, -0.32846184197908523, -0.017943305390707046, 0.103721036852221, 0.06006493735317649, 0.07887346868202175, -0.0031261053577922708, 0.0009189988592300903, -0.06652742542395242, -0.15687447154513476, 0.18146739669133571, 0.04506730138250119, 0.17816436719890175, 0.08083830244239917, -0.08864357507263776, -0.06602394073111513, -0.05677571361758799, -0.03440594076263634, -0.19559284441956235, 0.006360516643326264, 0.2462129055515809, 0.08591587548223535, 0.09168283677850426, -0.32326500945385883, -0.09109535344363064, 0.1778265713139924, 0.13960640617138284, 0.010481739523873495, 0.010378898856288288, -0.3551472653687762, 0.15826589229850055, -0.12644016146342354, -0.10202047959319316, -0.0751018783246929, 0.11202590633183718, -0.10953725356111219, -0.37057174670256, 0.09760091735684413, -0.026992020667504137, 0.037854236409740144, 0.047993483660816724, -0.2817861797044646, 0.0587364473573292, 0.03661482728520324, 0.15660488221031052, 0.10851686002834784, 0.1785507809753736, -0.1335916693503598, -0.17534373358781027, 0.43094613697295164, -0.14690743482391222, -0.20230069365987385, 0.18784894862487403, -0.2578112709108444, -0.18609554613505513, 0.18357876550660215, 0.19512126160870222, 0.022414853031891238, -0.14390507360274735, 0.1787043062562258, 0.0010477499083869836, 0.12187586114106869, 0.0243147064069159, 0.06122494425455278, 0.22492848389993014, 0.17154066087426723, 0.0017093549517581282, 0.018988786763326392, -0.09671825124479999, -0.03939212718978524, -0.37258979183918034, -0.11788825809336148, -0.03635679028229788, 0.10174720961169276, -0.003304365117235813, -0.050604651782619345, 0.3252693142858334, 0.09302839089121501, 0.277086392394267, 0.027713488427583467, 0.2635952737407272, 0.07445050274360586, 0.065607868365491, 0.034559362903978166, 0.27642232354793866, 0.16906322438179897, 0.08343258113018237, -0.2922932971136602, 0.04499012355385772, -0.026201067058454184] |
1,802.00787 | Zero-Cost Coercions for Program and Proof Reuse | We introduce the notion of identity coercions between non-indexed and indexed
variants of inductive datatypes, such as lists and vectors. An identity
coercion translates one type to another such that the coercion function
definitionally reduces to the identity function. This allows us to reuse vector
programs to derive list programs (and vice versa), without any runtime cost.
This also allows us to reuse vector proofs to derive list proofs (and vice
versa), without the cost of equational reasoning proof obligations. Our work is
formalized in Cedille, a dependently typed programming language based on a
type-annotated Curry-style type the- ory with implicit (or, erased) products
(or, dependent functions), and relies crucially on erasure to introduce
definitional equalities between underlying untyped terms.
| cs.PL | we introduce the notion of identity coercions between nonindexed and indexed variants of inductive datatypes such as lists and vectors an identity coercion translates one type to another such that the coercion function definitionally reduces to the identity function this allows us to reuse vector programs to derive list programs and vice versa without any runtime cost this also allows us to reuse vector proofs to derive list proofs and vice versa without the cost of equational reasoning proof obligations our work is formalized in cedille a dependently typed programming language based on a typeannotated currystyle type the ory with implicit or erased products or dependent functions and relies crucially on erasure to introduce definitional equalities between underlying untyped terms | [['we', 'introduce', 'the', 'notion', 'of', 'identity', 'coercions', 'between', 'nonindexed', 'and', 'indexed', 'variants', 'of', 'inductive', 'datatypes', 'such', 'as', 'lists', 'and', 'vectors', 'an', 'identity', 'coercion', 'translates', 'one', 'type', 'to', 'another', 'such', 'that', 'the', 'coercion', 'function', 'definitionally', 'reduces', 'to', 'the', 'identity', 'function', 'this', 'allows', 'us', 'to', 'reuse', 'vector', 'programs', 'to', 'derive', 'list', 'programs', 'and', 'vice', 'versa', 'without', 'any', 'runtime', 'cost', 'this', 'also', 'allows', 'us', 'to', 'reuse', 'vector', 'proofs', 'to', 'derive', 'list', 'proofs', 'and', 'vice', 'versa', 'without', 'the', 'cost', 'of', 'equational', 'reasoning', 'proof', 'obligations', 'our', 'work', 'is', 'formalized', 'in', 'cedille', 'a', 'dependently', 'typed', 'programming', 'language', 'based', 'on', 'a', 'typeannotated', 'currystyle', 'type', 'the', 'ory', 'with', 'implicit', 'or', 'erased', 'products', 'or', 'dependent', 'functions', 'and', 'relies', 'crucially', 'on', 'erasure', 'to', 'introduce', 'definitional', 'equalities', 'between', 'underlying', 'untyped', 'terms']] | [-0.11767791589905954, 0.01754863130844867, -0.08669565023243928, 0.12200054232942864, -0.2572251236684495, -0.21091482042141274, 0.16421527898979976, 0.32110592275231825, -0.3322329503570159, -0.29817652534850003, 0.0932607562740983, -0.21753739249846554, -0.09480171678822581, 0.1401443501441356, -0.14678280218308712, -0.028366215738366132, 0.007531488560797537, 0.02143647653215072, -0.08703654810704071, -0.23055991248673752, 0.3466311008180296, -0.006160000387575289, 0.239962346877261, 0.07405055132342361, 0.10864434076253981, 0.1098094616640954, -0.0649786090963528, -0.024019241909703882, -0.08363109649942371, 0.15925159886285678, 0.2930733127707318, 0.2913803397560445, 0.2892595236854894, -0.4284590035109554, -0.07296937313165609, 0.09209739012221078, 0.11953607678585568, 0.10156226903982774, 0.045134535943697984, -0.2830269247324777, 0.08064466323351346, -0.19206121875395796, -0.0565585743150666, -0.12937206865734413, 0.005981230493947989, 0.02423054341837263, -0.2575927964331457, -0.029082061399308527, 0.16284614635490569, 0.08618999155484797, -0.02375278520855677, -0.12168284921961672, -0.01540139501037843, 0.09475874904682077, 0.011367970707771532, 0.013893570531817043, 0.12836853006806717, -0.04774222048312551, -0.18981100258440906, 0.3180225144449559, -0.04418791481733964, -0.28073024342791375, 0.21620255249881132, -0.018282759906293654, -0.1463736465920796, 0.049813021463537666, 0.13210907706036037, 0.09244321581336255, -0.14097392139565043, 0.09596261171332537, -0.01541328476057114, 0.2316557294532594, 0.1299337819296898, 0.07665577748039064, 0.14930121488321355, 0.07775639190080286, 0.049189569170297195, 0.19828929629630776, 0.07501660198552393, -0.06953644398952044, -0.3129022073650247, -0.20670215333146708, -0.09128271285914072, 0.027854497172721045, -0.11926450952043768, -0.2208611643677499, 0.3361649614516176, 0.15881064157842995, 0.12332107302803202, 0.20196162402911597, 0.30216879972076716, 0.110795289395424, 0.14026957110916616, 0.07478219715236616, 0.05237352329173258, 0.12178208103340839, 0.12889862204549693, -0.1410705040975967, 0.1573127558447045, 0.16570793029640904] |
1,802.00788 | Unique Spin Vortices in Quantum Dots with Spin-orbit Couplings | Spin textures of one or two electrons in a quantum dot with Rashba or
Dresselhaus spin-orbit couplings reveal several intriguing properties. We show
that even at the single-electron level spin vortices with different topological
charges exist. These topological textures appear in the {\it ground state} of
the dots. The textures are stabilized by time-reversal symmetry breaking and
are robust against the eccentricity of the dot. The phenomenon persists for the
interacting two-electron dot in the presence of a magnetic field.
| cond-mat.mes-hall cond-mat.str-el | spin textures of one or two electrons in a quantum dot with rashba or dresselhaus spinorbit couplings reveal several intriguing properties we show that even at the singleelectron level spin vortices with different topological charges exist these topological textures appear in the it ground state of the dots the textures are stabilized by timereversal symmetry breaking and are robust against the eccentricity of the dot the phenomenon persists for the interacting twoelectron dot in the presence of a magnetic field | [['spin', 'textures', 'of', 'one', 'or', 'two', 'electrons', 'in', 'a', 'quantum', 'dot', 'with', 'rashba', 'or', 'dresselhaus', 'spinorbit', 'couplings', 'reveal', 'several', 'intriguing', 'properties', 'we', 'show', 'that', 'even', 'at', 'the', 'singleelectron', 'level', 'spin', 'vortices', 'with', 'different', 'topological', 'charges', 'exist', 'these', 'topological', 'textures', 'appear', 'in', 'the', 'it', 'ground', 'state', 'of', 'the', 'dots', 'the', 'textures', 'are', 'stabilized', 'by', 'timereversal', 'symmetry', 'breaking', 'and', 'are', 'robust', 'against', 'the', 'eccentricity', 'of', 'the', 'dot', 'the', 'phenomenon', 'persists', 'for', 'the', 'interacting', 'twoelectron', 'dot', 'in', 'the', 'presence', 'of', 'a', 'magnetic', 'field']] | [-0.2762739236233756, 0.26683636667439714, 0.03583864872925915, 0.06712754619074986, 0.020705525134690105, -0.21549867946887388, -0.02454456611594651, 0.3958563691005111, -0.2535879146773368, -0.3107225362095051, 0.008771701176010538, -0.30868147001601753, -0.10318904584273696, 0.1583335835894104, 0.05992349681619089, 0.018396703898906706, -0.01249496010132134, -0.03335644679900725, -0.10079041811986826, -0.21013775915662336, 0.3294810265768319, -0.1243210941520374, 0.2538400162186008, 0.06412476109107956, 0.04496652099769562, -0.030155163063318467, 0.19509165587369354, -0.010072412912268191, -0.08614218604388953, 0.04365538386045955, 0.1984210529655684, -0.14207087637041696, 0.14766133367083967, -0.4976204622536898, -0.15242967285157646, 0.026343275359249674, 0.12039136372040957, 0.21648524387273937, -0.08987685855827295, -0.3798867217730731, 0.05016956484178081, -0.17697287388145924, -0.1243371422518976, -0.12403523516841233, -0.006980575218040031, -0.012302104849368334, -0.2508002415066585, 0.11816240170737728, 0.09243381106352899, 0.047749953914899376, -0.03669523651478812, -0.06776043047429994, -0.10903094274690375, 0.07963230907917022, 0.08603128318209201, 0.007296854410742526, 0.1584957520433818, -0.18147476299200208, -0.19160055345273577, 0.3684424142062198, -0.03297371816588566, -0.19849246757858055, 0.17577330343192443, -0.2217383778624935, -0.09185914535191841, 0.11316492157639005, 0.07893819211167283, 0.0873799717752263, -0.06801016376120969, 0.12338829409491155, -0.016189522272907198, 0.13288225196301937, 0.016300541756208986, 0.15554479643760716, 0.37277271328493955, 0.1304801015299745, 0.09742762370733545, 0.11393090536585078, -0.1526356754824519, -0.11609730044147, -0.22730830629589036, -0.15229763223323972, -0.24814623860293067, 0.11523421730380505, -0.044155004061576617, -0.17683165745111182, 0.46592940060654653, 0.15888664702652022, 0.17230029895727056, -0.0920239796541864, 0.23541874387883582, 0.10739885834918823, 0.06987661025486887, 0.014726980192062911, 0.27014877140172755, 0.16403413437947165, 0.010778055986156687, -0.34457428444220567, 0.00035083821203443224, -0.024735812447033823] |
1,802.00789 | Coulomb-free and Coulomb-distorted recolliding quantum orbits in
photoelectron holography | We perform a detailed analysis of the different types of orbits in the
Coulomb Quantum Orbit Strong-field Approximation (CQSFA), ranging from direct
to those undergoing hard collisions. We show that some of them exhibit clear
counterparts in the standard formulations of the strong-field approximation for
direct and rescattered above-threshold ionization, and show that the standard
orbit classification commonly used in Coulomb-corrected models is
over-simplified. We identify several types of rescattered orbits, such as those
responsible for the low-energy structures reported in the literature, and
determine the momentum regions in which they occur. We also find formerly
overlooked interference patterns caused by backscattered, Coulomb-corrected
orbits and assess their effect on photoelectron angular distributions. These
orbits improves the agreement of photoelectron angular distributions computed
with the CQSFA with the outcome of ab-initio methods for high-energy
phtotoelectrons perpendicular to the field-polarization axis.
| physics.atom-ph quant-ph | we perform a detailed analysis of the different types of orbits in the coulomb quantum orbit strongfield approximation cqsfa ranging from direct to those undergoing hard collisions we show that some of them exhibit clear counterparts in the standard formulations of the strongfield approximation for direct and rescattered abovethreshold ionization and show that the standard orbit classification commonly used in coulombcorrected models is oversimplified we identify several types of rescattered orbits such as those responsible for the lowenergy structures reported in the literature and determine the momentum regions in which they occur we also find formerly overlooked interference patterns caused by backscattered coulombcorrected orbits and assess their effect on photoelectron angular distributions these orbits improves the agreement of photoelectron angular distributions computed with the cqsfa with the outcome of abinitio methods for highenergy phtotoelectrons perpendicular to the fieldpolarization axis | [['we', 'perform', 'a', 'detailed', 'analysis', 'of', 'the', 'different', 'types', 'of', 'orbits', 'in', 'the', 'coulomb', 'quantum', 'orbit', 'strongfield', 'approximation', 'cqsfa', 'ranging', 'from', 'direct', 'to', 'those', 'undergoing', 'hard', 'collisions', 'we', 'show', 'that', 'some', 'of', 'them', 'exhibit', 'clear', 'counterparts', 'in', 'the', 'standard', 'formulations', 'of', 'the', 'strongfield', 'approximation', 'for', 'direct', 'and', 'rescattered', 'abovethreshold', 'ionization', 'and', 'show', 'that', 'the', 'standard', 'orbit', 'classification', 'commonly', 'used', 'in', 'coulombcorrected', 'models', 'is', 'oversimplified', 'we', 'identify', 'several', 'types', 'of', 'rescattered', 'orbits', 'such', 'as', 'those', 'responsible', 'for', 'the', 'lowenergy', 'structures', 'reported', 'in', 'the', 'literature', 'and', 'determine', 'the', 'momentum', 'regions', 'in', 'which', 'they', 'occur', 'we', 'also', 'find', 'formerly', 'overlooked', 'interference', 'patterns', 'caused', 'by', 'backscattered', 'coulombcorrected', 'orbits', 'and', 'assess', 'their', 'effect', 'on', 'photoelectron', 'angular', 'distributions', 'these', 'orbits', 'improves', 'the', 'agreement', 'of', 'photoelectron', 'angular', 'distributions', 'computed', 'with', 'the', 'cqsfa', 'with', 'the', 'outcome', 'of', 'abinitio', 'methods', 'for', 'highenergy', 'phtotoelectrons', 'perpendicular', 'to', 'the', 'fieldpolarization', 'axis']] | [-0.1060373833994415, 0.09336995628465267, -0.10626351093723826, 0.13891869326322645, 0.0016179277364463702, -0.07089659933129965, 0.023698333710309688, 0.4125515218640603, -0.22676914161641362, -0.3257817814847196, -0.018526291740670747, -0.27437761580965814, -0.10285968938842416, 0.23925014526793992, -0.007521041917077599, 0.05830379029953458, 0.09024922665884977, -0.03248553889987134, -0.08166245989124189, -0.17543746286282574, 0.28818193901955647, 0.06089145168373157, 0.21465784585252948, 0.014457195065915585, 0.041207374797549344, 0.048039659714992466, -0.04794148819514272, 0.009803235646418846, -0.15316697247175545, 0.07622958120000277, 0.23012747530720598, 0.0547284003462724, 0.18416630474673787, -0.4401552905022663, -0.20379542445859117, 0.054187019257024474, 0.1555072310309259, 0.1253751540211553, -0.06012761189490149, -0.27994158863341506, 0.030936718167206886, -0.18038213489930668, -0.15051422800816067, -0.08805210352705344, 0.0059766747655659695, 0.0654885235691212, -0.2259421227907721, 0.10437095654685642, 0.060561702437155, 0.04993279301731365, -0.08269393804353954, -0.12146568803089487, -0.021722880868499515, 0.11679861678259217, 0.08647209409128086, -0.013923260791186434, 0.15430225645715412, -0.10055596410742125, -0.1514120179391636, 0.42131234346515073, -0.0271654315904653, -0.15010512799677186, 0.24207875946448287, -0.22504901101160116, -0.12486720067129409, 0.1792060820059511, 0.149349678215999, 0.14732062006641153, -0.10777521565774062, 0.05191756512487076, -0.0018638070863093773, 0.11829920824324834, 0.11278642737816502, 0.07455608470276819, 0.2254959845262831, 0.0806233202562715, -0.007956217559747887, 0.0678829721202326, -0.16426708296737566, -0.1174299656549455, -0.24622799783781932, -0.08723891435707681, -0.10265586884134878, 0.027632016550076542, -0.03884198344023694, -0.17128774935352434, 0.3592876965805878, 0.14916872530903694, 0.20144401891938798, -0.030252607518052477, 0.32247571619975307, 0.11871045564698994, 0.037401039029274434, 0.05448547523319178, 0.3257815936951215, 0.13874337184718763, 0.04949785830507422, -0.24990365062296446, 0.0593108604220252, 0.032441182957663045] |
1,802.0079 | Holomorphic spheres and four-dimensional symplectic pairs | We classify four-dimensional manifolds endowed with symplectic pairs
admitting embedded symplectic spheres with non-negative self-intersection,
following the strategy of McDuff's classification of rational and ruled
symplectic four manifolds.
| math.SG | we classify fourdimensional manifolds endowed with symplectic pairs admitting embedded symplectic spheres with nonnegative selfintersection following the strategy of mcduffs classification of rational and ruled symplectic four manifolds | [['we', 'classify', 'fourdimensional', 'manifolds', 'endowed', 'with', 'symplectic', 'pairs', 'admitting', 'embedded', 'symplectic', 'spheres', 'with', 'nonnegative', 'selfintersection', 'following', 'the', 'strategy', 'of', 'mcduffs', 'classification', 'of', 'rational', 'and', 'ruled', 'symplectic', 'four', 'manifolds']] | [-0.2627900697490467, 0.014517162327787705, -0.05077104589768818, 0.08777752362324723, -0.12831591086329094, -0.30081558054579155, -0.07913249943937574, 0.38078377076557707, -0.2040962168747293, -0.21331432684590773, 0.04692402927737151, -0.3079724804099117, -0.19231918374342577, 0.12311021053964007, -0.216324718037088, 0.0060432130204779765, 0.09460186492651701, 0.060064509444470914, -0.19798497326805123, -0.38210167629378183, 0.6100065608375839, -0.1172651945380494, 0.14043478983720498, 0.01947286325906004, 0.25247479853818994, -0.012288766231254808, -0.04500666352188481, 0.034201483541567414, -0.16511884637709176, 0.14766291817483893, 0.30569767231021877, -0.0242031754792801, 0.03768025053432211, -0.3993134046239512, -0.14650638907083444, 0.31039867403783966, 0.15450417293634797, -0.08880617592616805, 0.012094427532117282, -0.33113207455192295, 0.05951585755350867, -0.0788425872368472, -0.2688432293944061, -0.1920548066097711, -0.01956478206972991, -0.0093920708168298, -0.0965911403847193, -0.0513854879952435, 0.15104950808953227, 0.16527736988583847, -0.11652257177047431, -0.09360713777797562, -0.12403126852586865, 0.047121922352484295, -0.028449475166520903, 0.07461668855311084, 0.14828229264821857, 0.04687185164740575, -0.20274742280266114, 0.3488950382452458, -0.06590093865192362, -0.41252914017864634, 0.11358208754765135, -0.04392921791544983, -0.2472279586696199, 0.21042471272604807, 0.10204551404707932, 0.21416926250926085, 0.021663886727765203, 0.16542195282402514, -0.07514744904723816, -0.035351188063421954, 0.18688136412362968, -0.07979988985295806, 0.18153123762125947, 0.13315504502471803, 0.09941704088955053, 0.05729449374069061, 0.001343271295939173, -0.1687775400683417, -0.33026810735464096, -0.19496779290160962, -0.06985030526162259, 0.2949734129277723, -0.15157481567283476, -0.21409044348235642, 0.34132350023303715, -0.20610881510323711, 0.18156193509431823, 0.2364021134230175, 0.18183648426617896, -0.10078927981001991, 0.009995856422132679, 0.07873772576983486, 0.10818029587556209, 0.25162685236760546, -0.09520487281094704, -0.07362244205017175, -0.26189516857266426, 0.2230482077492135] |
1,802.00791 | Does Planck 2015 polarization favor high redshift reionization? | We study the relationship between signatures of high redshift ionization in
large-angle CMB polarization power spectra and features in the Planck 2015
data. Using a principal component (PC) ionization basis that is complete to the
cosmic variance limit out to $z_{\rm max}=30,40,50$, we find a robust $>95\%$
CL preference for ionization at $z>15$ with no preference for $z>40$. This
robustness originates from the $\ell \sim 10$ region of the data which show
high power relative to $\ell \le 8$ and result in a poor fit to a steplike
model of reionization. Instead by allowing for high redshift reionization, the
PCs provide a better fit by $2\Delta \mathrm{ln}\mathcal{L} = 5-6$. Due to a
degeneracy in the ionization redshift response, this improved fit is due to a
single aspect of the model: the ability to accommodate $z>10$ component to the
ionization as we illustrate with a two-step reionization model. For this and
other models that accommodate such a component, its presence is allowed and
even favored; for models that do not, their poor fit reflects statistical or
systematic fluctuations. These possibilities produce very different and
testable predictions at $\ell \sim 15-20$, as well as small but detectable
differences at $\ell>30$ that can further restrict the high redshift limit of
reionization.
| astro-ph.CO | we study the relationship between signatures of high redshift ionization in largeangle cmb polarization power spectra and features in the planck 2015 data using a principal component pc ionization basis that is complete to the cosmic variance limit out to z_rm max304050 we find a robust 95 cl preference for ionization at z15 with no preference for z40 this robustness originates from the ell sim 10 region of the data which show high power relative to ell le 8 and result in a poor fit to a steplike model of reionization instead by allowing for high redshift reionization the pcs provide a better fit by 2delta mathrmlnmathcall 56 due to a degeneracy in the ionization redshift response this improved fit is due to a single aspect of the model the ability to accommodate z10 component to the ionization as we illustrate with a twostep reionization model for this and other models that accommodate such a component its presence is allowed and even favored for models that do not their poor fit reflects statistical or systematic fluctuations these possibilities produce very different and testable predictions at ell sim 1520 as well as small but detectable differences at ell30 that can further restrict the high redshift limit of reionization | [['we', 'study', 'the', 'relationship', 'between', 'signatures', 'of', 'high', 'redshift', 'ionization', 'in', 'largeangle', 'cmb', 'polarization', 'power', 'spectra', 'and', 'features', 'in', 'the', 'planck', '2015', 'data', 'using', 'a', 'principal', 'component', 'pc', 'ionization', 'basis', 'that', 'is', 'complete', 'to', 'the', 'cosmic', 'variance', 'limit', 'out', 'to', 'z_rm', 'max304050', 'we', 'find', 'a', 'robust', '95', 'cl', 'preference', 'for', 'ionization', 'at', 'z15', 'with', 'no', 'preference', 'for', 'z40', 'this', 'robustness', 'originates', 'from', 'the', 'ell', 'sim', '10', 'region', 'of', 'the', 'data', 'which', 'show', 'high', 'power', 'relative', 'to', 'ell', 'le', '8', 'and', 'result', 'in', 'a', 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'detectable', 'differences', 'at', 'ell30', 'that', 'can', 'further', 'restrict', 'the', 'high', 'redshift', 'limit', 'of', 'reionization']] | [-0.04322734894571689, 0.10641274083769175, -0.06029655402639835, 0.11198358452629026, -0.06987543005677985, -0.1394773028064065, 0.07542856842926816, 0.3749511852860451, -0.20750816917364917, -0.36071355937094224, 0.035498344156573096, -0.3097416489589505, -0.015190071129898836, 0.16610677416050215, 0.013783649303921975, -0.017780698356843302, 0.029892248253724198, -0.05812456665444188, -0.044421178789911565, -0.2328596091613446, 0.2556576424119313, 0.15999510016678492, 0.2509808127302676, 0.046526752162452154, 0.07297807075594348, -0.07057764300190639, -0.05169542045900371, 0.010494467934093824, -0.13515768657259575, 0.0528224119700764, 0.2577479077507699, 0.11362370730763892, 0.22186790762423741, -0.3400195634276493, -0.210379248160142, 0.1362714792045242, 0.16305727313227225, 0.10317849963619487, -0.020402819340730585, -0.21848843425466882, 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1,802.00792 | Values of Random Polynomials at Integer Points | Using classical results of Rogers bounding the $L^2$-norm of Siegel
transforms, we give bounds on the heights of approximate integral solutions of
quadratic equations and error terms in the quantiative Oppenheim theorem of
Eskin-Margulis-Mozes for almost every quadratic form. Further applications
yield quantitative information on the distribution of values of random
polynomials at integral points.
| math.NT | using classical results of rogers bounding the l2norm of siegel transforms we give bounds on the heights of approximate integral solutions of quadratic equations and error terms in the quantiative oppenheim theorem of eskinmargulismozes for almost every quadratic form further applications yield quantitative information on the distribution of values of random polynomials at integral points | [['using', 'classical', 'results', 'of', 'rogers', 'bounding', 'the', 'l2norm', 'of', 'siegel', 'transforms', 'we', 'give', 'bounds', 'on', 'the', 'heights', 'of', 'approximate', 'integral', 'solutions', 'of', 'quadratic', 'equations', 'and', 'error', 'terms', 'in', 'the', 'quantiative', 'oppenheim', 'theorem', 'of', 'eskinmargulismozes', 'for', 'almost', 'every', 'quadratic', 'form', 'further', 'applications', 'yield', 'quantitative', 'information', 'on', 'the', 'distribution', 'of', 'values', 'of', 'random', 'polynomials', 'at', 'integral', 'points']] | [-0.15828251324340023, -0.004760564160956578, -0.12799254141917282, 0.08384158226068725, -0.05097497694871642, -0.06904973346232013, 0.061656877771019934, 0.24478719820353118, -0.2628083805892278, -0.2565423497422175, 0.12229269361123443, -0.2950013244693929, -0.1542841444977305, 0.3028355051848021, -0.09075593826445666, 0.10825318293460771, 0.060389200847765265, 0.06310497082092545, -0.13583508479324255, -0.3454148926856843, 0.3192735155875033, -0.014554351771419699, 0.19866661453111606, 0.05268211679702455, 0.1373905541205948, 0.03795358807864514, -0.01945496228608218, -0.07543395192108371, -0.21171836496584795, 0.18227938554165038, 0.23969393119808624, 0.07095979210835966, 0.2681405859068036, -0.4002752307945312, -0.11666795411570506, 0.13320536730303006, 0.11099966564109888, 0.014152616397901014, -0.008317975399338387, -0.2699261035431515, 0.06862450489689681, -0.05161663618108088, -0.16728384755551814, -0.09119779045947574, -0.0020098923197524113, 0.10757618453353643, -0.3169848354702646, 0.11679585293274033, 0.0997257572937418, 0.12091401559724049, -0.12642206255007873, -0.19070604260672222, 0.027444079687649555, 0.07361333951015364, 0.031434816964478654, 0.012040734509090809, 0.0575587799762037, -0.1170202971520749, -0.129767993778329, 0.2975247466090051, -0.09010848923670975, -0.24248546234924684, 0.06289080069823698, -0.13437038429758766, -0.12272207862274213, 0.14293373379517685, 0.16879923828792842, 0.1261151455004107, -0.0626159899614074, 0.1766025558780794, -0.0951631002466787, 0.06904453462497755, 0.165183132565157, 0.04953468386083841, 0.09993650656701489, -0.01015579504998062, 0.09989832943432372, 0.16641529648226094, -0.0409516702236777, -0.13870667081104, -0.3569435440003872, -0.18030066322535276, -0.20957082885910164, 0.07135723844932562, -0.20227881798663558, -0.22106856043154205, 0.3665892928288403, 0.09292772732230581, 0.13755309676582164, 0.18504747651856054, 0.236265610226176, 0.1958515114828267, 0.05007128974592144, 0.08565063702619889, 0.17095616077157585, 0.2002722499722784, 0.047838883626867425, -0.13411868016489528, 0.04590195777233352, 0.21427828918465158] |
1,802.00793 | Structural analysis with mixed-frequency data: A MIDAS-SVAR model of US
capital flows | We develop a new VAR model for structural analysis with mixed-frequency data.
The MIDAS-SVAR model allows to identify structural dynamic links exploiting the
information contained in variables sampled at different frequencies. It also
provides a general framework to test homogeneous frequency-based
representations versus mixed-frequency data models. A set of Monte Carlo
experiments suggests that the test performs well both in terms of size and
power. The MIDAS-SVAR is then used to study how monetary policy and financial
market volatility impact on the dynamics of gross capital inflows to the US.
While no relation is found when using standard quarterly data, exploiting the
variability present in the series within the quarter shows that the effect of
an interest rate shock is greater the longer the time lag between the month of
the shock and the end of the quarter
| econ.EM | we develop a new var model for structural analysis with mixedfrequency data the midassvar model allows to identify structural dynamic links exploiting the information contained in variables sampled at different frequencies it also provides a general framework to test homogeneous frequencybased representations versus mixedfrequency data models a set of monte carlo experiments suggests that the test performs well both in terms of size and power the midassvar is then used to study how monetary policy and financial market volatility impact on the dynamics of gross capital inflows to the us while no relation is found when using standard quarterly data exploiting the variability present in the series within the quarter shows that the effect of an interest rate shock is greater the longer the time lag between the month of the shock and the end of the quarter | [['we', 'develop', 'a', 'new', 'var', 'model', 'for', 'structural', 'analysis', 'with', 'mixedfrequency', 'data', 'the', 'midassvar', 'model', 'allows', 'to', 'identify', 'structural', 'dynamic', 'links', 'exploiting', 'the', 'information', 'contained', 'in', 'variables', 'sampled', 'at', 'different', 'frequencies', 'it', 'also', 'provides', 'a', 'general', 'framework', 'to', 'test', 'homogeneous', 'frequencybased', 'representations', 'versus', 'mixedfrequency', 'data', 'models', 'a', 'set', 'of', 'monte', 'carlo', 'experiments', 'suggests', 'that', 'the', 'test', 'performs', 'well', 'both', 'in', 'terms', 'of', 'size', 'and', 'power', 'the', 'midassvar', 'is', 'then', 'used', 'to', 'study', 'how', 'monetary', 'policy', 'and', 'financial', 'market', 'volatility', 'impact', 'on', 'the', 'dynamics', 'of', 'gross', 'capital', 'inflows', 'to', 'the', 'us', 'while', 'no', 'relation', 'is', 'found', 'when', 'using', 'standard', 'quarterly', 'data', 'exploiting', 'the', 'variability', 'present', 'in', 'the', 'series', 'within', 'the', 'quarter', 'shows', 'that', 'the', 'effect', 'of', 'an', 'interest', 'rate', 'shock', 'is', 'greater', 'the', 'longer', 'the', 'time', 'lag', 'between', 'the', 'month', 'of', 'the', 'shock', 'and', 'the', 'end', 'of', 'the', 'quarter']] | [-0.07355505658094497, 0.047362092305561154, -0.10551808823990594, 0.11089017037353616, -0.08002073393436149, -0.08895440030199311, 0.09340043714002925, 0.36710378349594336, -0.2710091198780848, -0.30665077769663185, 0.12249627635858762, -0.2855246650648469, -0.1227189471178195, 0.21782545676893172, -0.05050381803234546, 0.02405235233120894, 0.03380396500613321, 0.014083164935821997, -0.03346328172141083, -0.24613696334691829, 0.2720796492597883, 0.10930141875253278, 0.30379502291051563, 0.007837353414609371, 0.10248403495900087, 0.0008245967465507634, -0.07664874519618667, 0.007979746394352439, -0.1165391379246798, 0.1218851067344932, 0.22974930412379657, 0.15850848709370063, 0.31918108393951755, -0.4417479970793733, -0.20563999056021737, 0.1086414094452801, 0.07385058101157055, 0.06546136310413096, 0.017195978540043785, -0.24355683702571482, 0.025465545963550752, -0.18442045043818378, -0.0984988017795224, -0.06697862023515079, 0.013189919580541113, 0.012193328572132433, -0.2829246292137267, 0.11439971933599308, 0.017329727033296983, 0.07670633707504534, -0.054234774896673006, -0.06556784433418858, -0.0389083803165704, 0.14041674048027797, 0.09219253632524188, 0.004677754831123713, 0.09967548593276125, -0.09660584858947378, -0.13169844687560245, 0.3840879754793337, -0.07304944079677465, -0.16270994458018856, 0.17664173365269295, -0.18845535879817737, -0.11111054674256593, 0.1118659928906709, 0.20150414058555136, 0.04710778092061553, -0.16708651382824052, 0.02214392186493462, -0.03144388107980108, 0.21527484886139384, 0.013859308148419265, -0.016166468218109326, 0.1701738175307743, 0.204276322364903, 0.04475265796131948, 0.15950704338234467, -0.1387938835490358, -0.1259498803068281, -0.2773622762658359, -0.1239460696473115, -0.13783234582275755, -0.005817320833824959, -0.14165312645116715, -0.135351209428764, 0.43428848297609124, 0.18218883197508096, 0.17615099699469283, 0.08927817607764155, 0.2805428695573937, 0.10131209145348453, 0.04882457320277086, 0.12016156487280728, 0.19962065474486307, 0.06691052835188149, 0.12702127645881026, -0.20137449180679945, 0.12654450334101805, 0.00782040657770053] |
1,802.00794 | Photoluminescence and gain/absorption spectra of a driven-dissipative
electron-hole-photon condensate | We investigate theoretically nonequilibrium effects on photoluminescence and
gain/absorption spectra of a driven-dissipative exciton-polariton condensate,
by employing the combined Hartree-Fock-Bogoliubov theory with the generalized
random phase approximation extended to the Keldysh formalism. Our calculated
photoluminescence spectra is in semiquantitative agreement with experiments,
where features such as a blue shift of the emission from the condensate, the
appearance of the dispersionless feature of a diffusive Goldstone mode, and the
suppression of the dispersive profile of the mode are obtained. We show that
the nonequilibrium nature of the exciton-polariton condensate strongly
suppresses the visibility of the Bogoliubov dispersion in the negative energy
branch (ghost branch) in photoluminescence spectra. We also show that the trace
of this branch can be captured as a hole burning effect in gain/absorption
spectra. Our results indicate that the nonequilibrium nature of the
exciton-polariton condensate strongly reduces quantum depletion, while a
scattering channel to the ghost branch is still present.
| cond-mat.mes-hall cond-mat.quant-gas cond-mat.str-el cond-mat.supr-con | we investigate theoretically nonequilibrium effects on photoluminescence and gainabsorption spectra of a drivendissipative excitonpolariton condensate by employing the combined hartreefockbogoliubov theory with the generalized random phase approximation extended to the keldysh formalism our calculated photoluminescence spectra is in semiquantitative agreement with experiments where features such as a blue shift of the emission from the condensate the appearance of the dispersionless feature of a diffusive goldstone mode and the suppression of the dispersive profile of the mode are obtained we show that the nonequilibrium nature of the excitonpolariton condensate strongly suppresses the visibility of the bogoliubov dispersion in the negative energy branch ghost branch in photoluminescence spectra we also show that the trace of this branch can be captured as a hole burning effect in gainabsorption spectra our results indicate that the nonequilibrium nature of the excitonpolariton condensate strongly reduces quantum depletion while a scattering channel to the ghost branch is still present | [['we', 'investigate', 'theoretically', 'nonequilibrium', 'effects', 'on', 'photoluminescence', 'and', 'gainabsorption', 'spectra', 'of', 'a', 'drivendissipative', 'excitonpolariton', 'condensate', 'by', 'employing', 'the', 'combined', 'hartreefockbogoliubov', 'theory', 'with', 'the', 'generalized', 'random', 'phase', 'approximation', 'extended', 'to', 'the', 'keldysh', 'formalism', 'our', 'calculated', 'photoluminescence', 'spectra', 'is', 'in', 'semiquantitative', 'agreement', 'with', 'experiments', 'where', 'features', 'such', 'as', 'a', 'blue', 'shift', 'of', 'the', 'emission', 'from', 'the', 'condensate', 'the', 'appearance', 'of', 'the', 'dispersionless', 'feature', 'of', 'a', 'diffusive', 'goldstone', 'mode', 'and', 'the', 'suppression', 'of', 'the', 'dispersive', 'profile', 'of', 'the', 'mode', 'are', 'obtained', 'we', 'show', 'that', 'the', 'nonequilibrium', 'nature', 'of', 'the', 'excitonpolariton', 'condensate', 'strongly', 'suppresses', 'the', 'visibility', 'of', 'the', 'bogoliubov', 'dispersion', 'in', 'the', 'negative', 'energy', 'branch', 'ghost', 'branch', 'in', 'photoluminescence', 'spectra', 'we', 'also', 'show', 'that', 'the', 'trace', 'of', 'this', 'branch', 'can', 'be', 'captured', 'as', 'a', 'hole', 'burning', 'effect', 'in', 'gainabsorption', 'spectra', 'our', 'results', 'indicate', 'that', 'the', 'nonequilibrium', 'nature', 'of', 'the', 'excitonpolariton', 'condensate', 'strongly', 'reduces', 'quantum', 'depletion', 'while', 'a', 'scattering', 'channel', 'to', 'the', 'ghost', 'branch', 'is', 'still', 'present']] | [-0.11153096931459579, 0.19058323227402166, -0.1557863086731692, 0.06258565160753374, -0.013320432350921788, -0.08254164332940586, 0.05469347644630991, 0.36402079642529744, -0.21729967674381392, -0.23739802440640664, -0.012666716249537115, -0.2971408731782025, -0.14378936802600756, 0.1486786031623763, 0.01379525063767735, 0.024638855551050876, 0.04778053219993844, -0.025416684943545414, -0.026043873869256412, -0.18052302565621703, 0.3485535584408545, 0.005166271555935964, 0.3206647226746243, 0.09449847202784822, 0.025765856397093126, 0.011030011695478797, 0.041984531706762744, 0.0045590565760472886, -0.12013533858728472, 0.04744782416022836, 0.2212644195257637, -0.00512719614878159, 0.19972465395326972, -0.39970971017732826, -0.2543662261389392, 0.03444693859139653, 0.21781772375106812, 0.17653863826968805, -0.07694042780157791, -0.31435191657663764, 0.0009861519080770545, -0.14011439889681673, -0.15306766719042667, -0.06190392368731218, -0.03969742320814954, 0.0031806259713975074, -0.22490550983868735, 0.13908301600646442, 0.04907327106124476, 0.016866197975009288, -0.0702298937432811, -0.06647170990656473, -0.08315986145048794, 0.030778307415618513, 0.004688013334855082, -0.013088702218067882, 0.13932190200476294, -0.1756491382532802, -0.07765924760238513, 0.3758117228127575, -0.17039501815299063, -0.06967019960039149, 0.1437515462966985, -0.17829903132453756, -0.06636343860851698, 0.16883204270485103, 0.10356258360767051, 0.1226712278225214, -0.12407305926439892, 0.06215661036013013, -0.03501959200825935, 0.17843146234334104, 0.06734410191328559, 0.11720624292459099, 0.23617341564845687, 0.15754210157932616, -0.019746009438102573, 0.16958826614657146, -0.12558646187780573, -0.1275957409617197, -0.2858909499206531, -0.10591004431877368, -0.19318654602140764, 0.03957940261860035, -0.04503020829820583, -0.19030043806598865, 0.4151948322174384, 0.11138106403124862, 0.2077431983688209, 0.023572775513840544, 0.2941533701377921, 0.19637156295050917, 0.047655822565215396, 0.032282951137810746, 0.30315029919821473, 0.1859269696670756, 0.10602853045106474, -0.39334077449166216, -0.04239247249757969, 0.027517099343975514] |
1,802.00795 | On the Nature of the High-Energy Rollover in 1H 0419-577 | A NuSTAR/Swift observation of the luminous Seyfert 1 galaxy 1H 0419-577 taken
during 2015 reveals one of the most extreme high energy cut-offs observed to
date from an AGN - an origin due to thermal Comptonization would imply a
remarkably low coronal temperature $kT \sim 15$ keV. The low energy peak of the
spectrum in the hard X-ray NuSTAR band, which peaks before the expected onset
of a Compton hump, rules out strong reflection as the origin of the hard excess
in this AGN. We show the origin of the high energy rollover is likely due to a
combination of both thermal Comptonization and an intrinsically steeper
continuum, which is modified by absorption at lower energies. Furthermore,
modeling the broadband XUV continuum shape as a colour-corrected accretion
disc, requires the presence of a variable warm absorber to explain all flux and
spectral states of the source, consistent with the previous work on this AGN.
While absorber variations produce marked spectral variability in this AGN,
consideration of all flux states allows us to isolate a colourless component of
variability that may arise from changes in the inner accretion flow, typically
at around $10 \, r_g$.
| astro-ph.HE | a nustarswift observation of the luminous seyfert 1 galaxy 1h 0419577 taken during 2015 reveals one of the most extreme high energy cutoffs observed to date from an agn an origin due to thermal comptonization would imply a remarkably low coronal temperature kt sim 15 kev the low energy peak of the spectrum in the hard xray nustar band which peaks before the expected onset of a compton hump rules out strong reflection as the origin of the hard excess in this agn we show the origin of the high energy rollover is likely due to a combination of both thermal comptonization and an intrinsically steeper continuum which is modified by absorption at lower energies furthermore modeling the broadband xuv continuum shape as a colourcorrected accretion disc requires the presence of a variable warm absorber to explain all flux and spectral states of the source consistent with the previous work on this agn while absorber variations produce marked spectral variability in this agn consideration of all flux states allows us to isolate a colourless component of variability that may arise from changes in the inner accretion flow typically at around 10 r_g | [['a', 'nustarswift', 'observation', 'of', 'the', 'luminous', 'seyfert', '1', 'galaxy', '1h', '0419577', 'taken', 'during', '2015', 'reveals', 'one', 'of', 'the', 'most', 'extreme', 'high', 'energy', 'cutoffs', 'observed', 'to', 'date', 'from', 'an', 'agn', 'an', 'origin', 'due', 'to', 'thermal', 'comptonization', 'would', 'imply', 'a', 'remarkably', 'low', 'coronal', 'temperature', 'kt', 'sim', '15', 'kev', 'the', 'low', 'energy', 'peak', 'of', 'the', 'spectrum', 'in', 'the', 'hard', 'xray', 'nustar', 'band', 'which', 'peaks', 'before', 'the', 'expected', 'onset', 'of', 'a', 'compton', 'hump', 'rules', 'out', 'strong', 'reflection', 'as', 'the', 'origin', 'of', 'the', 'hard', 'excess', 'in', 'this', 'agn', 'we', 'show', 'the', 'origin', 'of', 'the', 'high', 'energy', 'rollover', 'is', 'likely', 'due', 'to', 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1,802.00796 | Bayes Calculations from Quantile Implied Likelihood | In statistical practice, a realistic Bayesian model for a given data set can
be defined by a likelihood function that is analytically or computationally
intractable, due to large data sample size, high parameter dimensionality, or
complex likelihood functional form. This in turn poses challenges to the
computation and inference of the posterior distribution of the model
parameters. For such a model, a tractable likelihood function is introduced
which approximates the exact likelihood through its quantile function. It is
defined by an asymptotic chi-square confidence distribution for a pivotal
quantity, which is generated by the asymptotic normal distribution of the
sample quantiles given model parameters. This Quantile Implied Likelihood (QIL)
gives rise to an approximate posterior distribution which can be estimated by
using penalized log-likelihood maximization or any suitable Monte Carlo
algorithm. The QIL approach to Bayesian Computation is illustrated through the
Bayesian analysis of simulated and real data sets having sample sizes that
reach the millions. The analyses involve various models for univariate or
multivariate iid or non-iid data, with low or high parameter dimensionality,
many of which are defined by intractable likelihoods. The probability models
include the Student's t, g-and-h, and g-and-k distributions; the Bayesian logit
regression model with many covariates; exponential random graph model, a
doubly-intractable model for networks; the multivariate skew normal model, for
robust inference of the inverse-covariance matrix when it is large relative to
the sample size; and the Wallenius distribution model.
| stat.ME | in statistical practice a realistic bayesian model for a given data set can be defined by a likelihood function that is analytically or computationally intractable due to large data sample size high parameter dimensionality or complex likelihood functional form this in turn poses challenges to the computation and inference of the posterior distribution of the model parameters for such a model a tractable likelihood function is introduced which approximates the exact likelihood through its quantile function it is defined by an asymptotic chisquare confidence distribution for a pivotal quantity which is generated by the asymptotic normal distribution of the sample quantiles given model parameters this quantile implied likelihood qil gives rise to an approximate posterior distribution which can be estimated by using penalized loglikelihood maximization or any suitable monte carlo algorithm the qil approach to bayesian computation is illustrated through the bayesian analysis of simulated and real data sets having sample sizes that reach the millions the analyses involve various models for univariate or multivariate iid or noniid data with low or high parameter dimensionality many of which are defined by intractable likelihoods the probability models include the students t gandh and gandk distributions the bayesian logit regression model with many covariates exponential random graph model a doublyintractable model for networks the multivariate skew normal model for robust inference of the inversecovariance matrix when it is large relative to the sample size and the wallenius distribution model | [['in', 'statistical', 'practice', 'a', 'realistic', 'bayesian', 'model', 'for', 'a', 'given', 'data', 'set', 'can', 'be', 'defined', 'by', 'a', 'likelihood', 'function', 'that', 'is', 'analytically', 'or', 'computationally', 'intractable', 'due', 'to', 'large', 'data', 'sample', 'size', 'high', 'parameter', 'dimensionality', 'or', 'complex', 'likelihood', 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1,802.00797 | Dispersive approach to non-Abelian axial anomaly | Manifestations of strong and electromagnetic axial anomalies in two-photon
decays of $\eta$ and $\eta'$ mesons are studied. Applying dispersive approach
to axial anomaly in the singlet current, we obtain an anomaly sum rule
containing strong and electromagnetic anomaly contributions. The relevant low
energy theorem was generalized to the case of mixed states and used to evaluate
the subtraction constant of the strong anomaly-related form factor $\langle 0
|G\tilde{G} |\gamma\gamma \rangle$. We made a numerical estimation of the
contributions of gluon and electromagnetic anomalies to the two-photon decays
of $\eta$ and $\eta'$ mesons and found significant suppression of the gluon
anomaly contribution.
| hep-ph | manifestations of strong and electromagnetic axial anomalies in twophoton decays of eta and eta mesons are studied applying dispersive approach to axial anomaly in the singlet current we obtain an anomaly sum rule containing strong and electromagnetic anomaly contributions the relevant low energy theorem was generalized to the case of mixed states and used to evaluate the subtraction constant of the strong anomalyrelated form factor langle 0 gtildeg gammagamma rangle we made a numerical estimation of the contributions of gluon and electromagnetic anomalies to the twophoton decays of eta and eta mesons and found significant suppression of the gluon anomaly contribution | [['manifestations', 'of', 'strong', 'and', 'electromagnetic', 'axial', 'anomalies', 'in', 'twophoton', 'decays', 'of', 'eta', 'and', 'eta', 'mesons', 'are', 'studied', 'applying', 'dispersive', 'approach', 'to', 'axial', 'anomaly', 'in', 'the', 'singlet', 'current', 'we', 'obtain', 'an', 'anomaly', 'sum', 'rule', 'containing', 'strong', 'and', 'electromagnetic', 'anomaly', 'contributions', 'the', 'relevant', 'low', 'energy', 'theorem', 'was', 'generalized', 'to', 'the', 'case', 'of', 'mixed', 'states', 'and', 'used', 'to', 'evaluate', 'the', 'subtraction', 'constant', 'of', 'the', 'strong', 'anomalyrelated', 'form', 'factor', 'langle', '0', 'gtildeg', 'gammagamma', 'rangle', 'we', 'made', 'a', 'numerical', 'estimation', 'of', 'the', 'contributions', 'of', 'gluon', 'and', 'electromagnetic', 'anomalies', 'to', 'the', 'twophoton', 'decays', 'of', 'eta', 'and', 'eta', 'mesons', 'and', 'found', 'significant', 'suppression', 'of', 'the', 'gluon', 'anomaly', 'contribution']] | [-0.160150771305924, 0.19685191741933017, -0.0540266323138471, 0.11338199522821141, -0.06123135645071616, -0.11031196633409156, 0.04227951965940249, 0.3169235892796723, -0.21377400798022306, -0.22555301582791132, -0.041375994859816564, -0.3340095989498319, -0.08828973002953104, 0.10566108188785539, 0.08874587024018021, 0.08181437411078132, 0.017195560312414968, 0.051531217927758645, -0.05823450720878226, -0.16394233382952464, 0.3044882991655481, 0.01740220259981101, 0.2440915972566103, 0.20206021519359385, 0.06654772845253644, 0.03082726835180996, -0.079586737111469, -0.017009011294582103, -0.10309081151159388, 0.03982558545580429, 0.1953999943026148, 0.030350235313877906, 0.12359848118728341, -0.34541586497890775, -0.11699352204790431, 0.14726733367447511, 0.14259004750113824, 0.07103386692389256, -0.00014016941872121083, -0.3144997471164322, 0.08919247481418718, -0.18946316125249435, -0.12196578098331938, -0.1351805262562662, 0.010736297403397684, -0.07976904164741536, -0.3709419951359234, 0.1580375391289149, -0.01619907050384301, 0.01578503334491357, -0.0544753106204922, -0.20964531690149688, 0.036512183136131506, 0.06746720130287923, 0.1834746628520217, 0.10229134145607748, 0.15909954253584146, -0.22384262774167019, -0.14388042583250174, 0.3814028874961751, -0.13945310085200438, -0.15721575071168417, 0.10531210252498784, -0.17171883907648597, -0.12787548527305964, 0.18862951539530612, 0.1621039327381566, 0.09134288352054294, -0.14051058193170787, 0.06769726853120361, -0.006216447887997521, 0.12233280678196709, 0.0923601905077622, 0.09656270633977239, 0.16339842554661307, 0.08445663682858248, -0.06781109622541336, 0.1162821233530741, -0.09680487824105981, -0.01362010548905571, -0.3851629330564548, -0.1398069168081378, -0.08923902829168456, 0.08508309990508796, -0.06895055871492593, -0.1188640596326625, 0.34456945914489284, 0.06232251918017127, 0.19611163601500564, -0.047624789667085256, 0.3145620416444127, 0.1539405068552057, 0.0815191982881083, 0.06020133244277135, 0.31901530001432366, 0.261577519329984, 0.12389054840547609, -0.3031448802385147, -0.030990328243242042, 0.04241380130752257] |
1,802.00798 | Weak solutions for some compressible multicomponent fluid models | The principle purpose of this work is to investigate a "viscous" version of a
"simple" but still realistic bi-fluid model described in [Bresch, Desjardin,
Ghidaglia, Grenier, Hillairet] whose "non-viscous" version is derived from
physical considerations in \cite[Ishii, Hibiki]{ISHI} as a particular sample of
a multifluid model with algebraic closure. The goal is to show existence of
weak solutions for large initial data on an arbitrarily large time interval. We
achieve this goal by transforming the model to an academic system which
resembles to the compressible Navier-Stokes equations, with however two
continuity equations and a momentum equation endowed with pressure of
complicated structure dependent on two variable densities. The new "academic
system" is then solved by an adaptation of the Lions--Feireisl approach for
solving compressible Navier--Stokes equation, completed with several
observations related to the DiPerna--Lions transport theory inspired by
[Maltese, Michalek, Mucha, Novotny, Pokorny, Zatorska] and [Vasseur, Wen, Yu].
We also explain how these techniques can be generalized to a model of mixtures
with more then two species.
This is the first result on the existence of weak solutions for any realistic
multifluid system.
| math.AP | the principle purpose of this work is to investigate a viscous version of a simple but still realistic bifluid model described in bresch desjardin ghidaglia grenier hillairet whose nonviscous version is derived from physical considerations in citeishii hibikiishi as a particular sample of a multifluid model with algebraic closure the goal is to show existence of weak solutions for large initial data on an arbitrarily large time interval we achieve this goal by transforming the model to an academic system which resembles to the compressible navierstokes equations with however two continuity equations and a momentum equation endowed with pressure of complicated structure dependent on two variable densities the new academic system is then solved by an adaptation of the lionsfeireisl approach for solving compressible navierstokes equation completed with several observations related to the dipernalions transport theory inspired by maltese michalek mucha novotny pokorny zatorska and vasseur wen yu we also explain how these techniques can be generalized to a model of mixtures with more then two species this is the first result on the existence of weak solutions for any realistic multifluid system | [['the', 'principle', 'purpose', 'of', 'this', 'work', 'is', 'to', 'investigate', 'a', 'viscous', 'version', 'of', 'a', 'simple', 'but', 'still', 'realistic', 'bifluid', 'model', 'described', 'in', 'bresch', 'desjardin', 'ghidaglia', 'grenier', 'hillairet', 'whose', 'nonviscous', 'version', 'is', 'derived', 'from', 'physical', 'considerations', 'in', 'citeishii', 'hibikiishi', 'as', 'a', 'particular', 'sample', 'of', 'a', 'multifluid', 'model', 'with', 'algebraic', 'closure', 'the', 'goal', 'is', 'to', 'show', 'existence', 'of', 'weak', 'solutions', 'for', 'large', 'initial', 'data', 'on', 'an', 'arbitrarily', 'large', 'time', 'interval', 'we', 'achieve', 'this', 'goal', 'by', 'transforming', 'the', 'model', 'to', 'an', 'academic', 'system', 'which', 'resembles', 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1,802.00799 | Full- & Reduced-Order State-Space Modeling of Wind Turbine Systems with
Permanent-Magnet Synchronous Generator | Wind energy is an integral part of nowadays energy supply and one of the
fastest growing sources of electricity in the world today. Accurate models for
wind energy conversion systems (WECSs) are of key interest for the analysis and
control design of present and future energy systems. Existing control-oriented
WECSs models are subject to unstructured simplifications, which have not been
discussed in literature so far. Thus, this technical note presents are thorough
derivation of a physical state-space model for permanent magnet synchronous
generator WECSs. The physical model considers all dynamic effects that
significantly influence the system's power output, including the switching of
the power electronics. Alternatively, the model is formulated in the $(a,b,c)$-
and $(d,q)$-reference frame. Secondly, a complete control and operation
management system for the wind regimes II and III and the transition between
the regimes is presented. The control takes practical effects such as input
saturation and integral windup into account. Thirdly, by a structured model
reduction procedure, two state-space models of WECS with reduced complexity are
derived: a non-switching model and a non-switching reduced-order model. The
validity of the models is illustrated and compared through a numerical
simulation study.
| cs.SY | wind energy is an integral part of nowadays energy supply and one of the fastest growing sources of electricity in the world today accurate models for wind energy conversion systems wecss are of key interest for the analysis and control design of present and future energy systems existing controloriented wecss models are subject to unstructured simplifications which have not been discussed in literature so far thus this technical note presents are thorough derivation of a physical statespace model for permanent magnet synchronous generator wecss the physical model considers all dynamic effects that significantly influence the systems power output including the switching of the power electronics alternatively the model is formulated in the abc and dqreference frame secondly a complete control and operation management system for the wind regimes ii and iii and the transition between the regimes is presented the control takes practical effects such as input saturation and integral windup into account thirdly by a structured model reduction procedure two statespace models of wecs with reduced complexity are derived a nonswitching model and a nonswitching reducedorder model the validity of the models is illustrated and compared through a numerical simulation study | [['wind', 'energy', 'is', 'an', 'integral', 'part', 'of', 'nowadays', 'energy', 'supply', 'and', 'one', 'of', 'the', 'fastest', 'growing', 'sources', 'of', 'electricity', 'in', 'the', 'world', 'today', 'accurate', 'models', 'for', 'wind', 'energy', 'conversion', 'systems', 'wecss', 'are', 'of', 'key', 'interest', 'for', 'the', 'analysis', 'and', 'control', 'design', 'of', 'present', 'and', 'future', 'energy', 'systems', 'existing', 'controloriented', 'wecss', 'models', 'are', 'subject', 'to', 'unstructured', 'simplifications', 'which', 'have', 'not', 'been', 'discussed', 'in', 'literature', 'so', 'far', 'thus', 'this', 'technical', 'note', 'presents', 'are', 'thorough', 'derivation', 'of', 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1,802.008 | QoS-aware Dynamic Fog Service Provisioning | Recent advances in the areas of Internet of Things (IoT), Big Data, and
Machine Learning have contributed to the rise of a growing number of complex
applications. These applications will be data-intensive, delay-sensitive, and
real-time as smart devices prevail more in our daily life. Ensuring Quality of
Service (QoS) for delay-sensitive applications is a must, and fog computing is
seen as one of the primary enablers for satisfying such tight QoS requirements,
as it puts compute, storage, and networking resources closer to the user. In
this paper, we first introduce FogPlan, a framework for QoS-aware Dynamic Fog
Service Provisioning (QDFSP). QDFSP concerns the dynamic deployment of
application services on fog nodes, or the release of application services that
have previously been deployed on fog nodes, in order to meet low latency and
QoS requirements of applications while minimizing cost. FogPlan framework is
practical and operates with no assumptions and minimal information about IoT
nodes. Next, we present a possible formulation (as an optimization problem) and
two efficient greedy algorithms for addressing the QDFSP at one instance of
time. Finally, the FogPlan framework is evaluated using a simulation based on
real-world traffic traces.
| cs.NI | recent advances in the areas of internet of things iot big data and machine learning have contributed to the rise of a growing number of complex applications these applications will be dataintensive delaysensitive and realtime as smart devices prevail more in our daily life ensuring quality of service qos for delaysensitive applications is a must and fog computing is seen as one of the primary enablers for satisfying such tight qos requirements as it puts compute storage and networking resources closer to the user in this paper we first introduce fogplan a framework for qosaware dynamic fog service provisioning qdfsp qdfsp concerns the dynamic deployment of application services on fog nodes or the release of application services that have previously been deployed on fog nodes in order to meet low latency and qos requirements of applications while minimizing cost fogplan framework is practical and operates with no assumptions and minimal information about iot nodes next we present a possible formulation as an optimization problem and two efficient greedy algorithms for addressing the qdfsp at one instance of time finally the fogplan framework is evaluated using a simulation based on realworld traffic traces | [['recent', 'advances', 'in', 'the', 'areas', 'of', 'internet', 'of', 'things', 'iot', 'big', 'data', 'and', 'machine', 'learning', 'have', 'contributed', 'to', 'the', 'rise', 'of', 'a', 'growing', 'number', 'of', 'complex', 'applications', 'these', 'applications', 'will', 'be', 'dataintensive', 'delaysensitive', 'and', 'realtime', 'as', 'smart', 'devices', 'prevail', 'more', 'in', 'our', 'daily', 'life', 'ensuring', 'quality', 'of', 'service', 'qos', 'for', 'delaysensitive', 'applications', 'is', 'a', 'must', 'and', 'fog', 'computing', 'is', 'seen', 'as', 'one', 'of', 'the', 'primary', 'enablers', 'for', 'satisfying', 'such', 'tight', 'qos', 'requirements', 'as', 'it', 'puts', 'compute', 'storage', 'and', 'networking', 'resources', 'closer', 'to', 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1,802.00801 | Accessing scrambling using matrix product operators | Scrambling, a process in which quantum information spreads over a complex
quantum system becoming inaccessible to simple probes, happens in generic
chaotic quantum many-body systems, ranging from spin chains, to metals, even to
black holes. Scrambling can be measured using out-of-time-ordered correlators
(OTOCs), which are closely tied to the growth of Heisenberg operators. In this
work, we present a general method to calculate OTOCs of local operators in
local one-dimensional systems based on approximating Heisenberg operators as
matrix-product operators (MPOs). Contrary to the common belief that such tensor
network methods work only at early times, we show that the entire early growth
region of the OTOC can be captured using an MPO approximation with modest bond
dimension. We analytically establish the goodness of the approximation by
showing that if an appropriate OTOC is close to its initial value, then the
associated Heisenberg operator has low entanglement across a given cut. We use
the method to study scrambling in a chaotic spin chain with $201$ sites. Based
on this data and OTOC results for black holes, local random circuit models, and
non-interacting systems, we conjecture a universal form for the dynamics of the
OTOC near the wavefront. We show that this form collapses the chaotic spin
chain data over more than fifteen orders of magnitude.
| quant-ph cond-mat.str-el hep-th | scrambling a process in which quantum information spreads over a complex quantum system becoming inaccessible to simple probes happens in generic chaotic quantum manybody systems ranging from spin chains to metals even to black holes scrambling can be measured using outoftimeordered correlators otocs which are closely tied to the growth of heisenberg operators in this work we present a general method to calculate otocs of local operators in local onedimensional systems based on approximating heisenberg operators as matrixproduct operators mpos contrary to the common belief that such tensor network methods work only at early times we show that the entire early growth region of the otoc can be captured using an mpo approximation with modest bond dimension we analytically establish the goodness of the approximation by showing that if an appropriate otoc is close to its initial value then the associated heisenberg operator has low entanglement across a given cut we use the method to study scrambling in a chaotic spin chain with 201 sites based on this data and otoc results for black holes local random circuit models and noninteracting systems we conjecture a universal form for the dynamics of the otoc near the wavefront we show that this form collapses the chaotic spin chain data over more than fifteen orders of magnitude | [['scrambling', 'a', 'process', 'in', 'which', 'quantum', 'information', 'spreads', 'over', 'a', 'complex', 'quantum', 'system', 'becoming', 'inaccessible', 'to', 'simple', 'probes', 'happens', 'in', 'generic', 'chaotic', 'quantum', 'manybody', 'systems', 'ranging', 'from', 'spin', 'chains', 'to', 'metals', 'even', 'to', 'black', 'holes', 'scrambling', 'can', 'be', 'measured', 'using', 'outoftimeordered', 'correlators', 'otocs', 'which', 'are', 'closely', 'tied', 'to', 'the', 'growth', 'of', 'heisenberg', 'operators', 'in', 'this', 'work', 'we', 'present', 'a', 'general', 'method', 'to', 'calculate', 'otocs', 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1,802.00802 | Quantum holography in a graphene flake with an irregular boundary | Electrons in clean macroscopic samples of graphene exhibit an astonishing
variety of quantum phases when strong perpendicular magnetic field is applied.
These include integer and fractional quantum Hall states as well as symmetry
broken phases and quantum Hall ferromagnetism. Here we show that mesoscopic
graphene flakes in the regime of strong disorder and magnetic field can exhibit
another remarkable quantum phase described by holographic duality to an
extremal black hole in two dimensional anti-de Sitter space. This phase of
matter can be characterized as a maximally chaotic non-Fermi liquid since it is
described by a complex fermion version of the Sachdev-Ye-Kitaev model known to
possess these remarkable properties.
| cond-mat.str-el cond-mat.mes-hall | electrons in clean macroscopic samples of graphene exhibit an astonishing variety of quantum phases when strong perpendicular magnetic field is applied these include integer and fractional quantum hall states as well as symmetry broken phases and quantum hall ferromagnetism here we show that mesoscopic graphene flakes in the regime of strong disorder and magnetic field can exhibit another remarkable quantum phase described by holographic duality to an extremal black hole in two dimensional antide sitter space this phase of matter can be characterized as a maximally chaotic nonfermi liquid since it is described by a complex fermion version of the sachdevyekitaev model known to possess these remarkable properties | [['electrons', 'in', 'clean', 'macroscopic', 'samples', 'of', 'graphene', 'exhibit', 'an', 'astonishing', 'variety', 'of', 'quantum', 'phases', 'when', 'strong', 'perpendicular', 'magnetic', 'field', 'is', 'applied', 'these', 'include', 'integer', 'and', 'fractional', 'quantum', 'hall', 'states', 'as', 'well', 'as', 'symmetry', 'broken', 'phases', 'and', 'quantum', 'hall', 'ferromagnetism', 'here', 'we', 'show', 'that', 'mesoscopic', 'graphene', 'flakes', 'in', 'the', 'regime', 'of', 'strong', 'disorder', 'and', 'magnetic', 'field', 'can', 'exhibit', 'another', 'remarkable', 'quantum', 'phase', 'described', 'by', 'holographic', 'duality', 'to', 'an', 'extremal', 'black', 'hole', 'in', 'two', 'dimensional', 'antide', 'sitter', 'space', 'this', 'phase', 'of', 'matter', 'can', 'be', 'characterized', 'as', 'a', 'maximally', 'chaotic', 'nonfermi', 'liquid', 'since', 'it', 'is', 'described', 'by', 'a', 'complex', 'fermion', 'version', 'of', 'the', 'sachdevyekitaev', 'model', 'known', 'to', 'possess', 'these', 'remarkable', 'properties']] | [-0.16220081468647415, 0.28200010289853067, -0.08280978066829482, 0.07322486894554459, -0.014631074629034157, -0.22916998002781636, -0.01182304948128553, 0.33882336987665407, -0.25782732430983474, -0.2853064496518561, 0.018558512018191524, -0.2644885434958808, -0.19398038466978404, 0.18116721934940735, -0.043954723527551524, 0.06522924880738612, -0.0740463660115859, -0.045921841644923446, -0.09504523854142193, -0.24035226504956544, 0.2901026921570991, -0.022887260286585876, 0.29958366129668085, 0.03311104251554719, 0.08018473437362074, -0.015552602617794441, 0.14875065799370296, 0.10375257605590849, -0.11640529272706233, -0.0244749102820168, 0.2745885794887457, -0.08682121978900223, 0.13784028763917308, -0.46414085553476103, -0.22504128536119997, 0.045016842705620175, 0.15255002116383468, 0.17025225476741238, -0.09251500090963587, -0.3414658533443731, 0.043066996921509226, -0.17506957112777013, -0.16673118776331344, -0.16225721240496366, -0.005904990625653968, -0.07933518933417939, -0.1863407954375294, 0.12811881228332855, 0.09464552320854704, 0.06191301649367368, -0.0331644669295875, -0.051883524766674745, -0.07356033176485519, 0.04952760128206272, 0.06789958611005675, 0.04678181714283441, 0.15102606223296822, -0.18228791407353936, -0.19347522887659985, 0.3713653806372787, -0.038867270785245905, -0.12187688326877025, 0.20945889925739417, -0.20995155900864457, -0.09077743442375558, 0.12381868880604291, 0.10761545882215379, 0.09972451014996127, -0.10404984392422463, 0.14533338588255532, -0.07949925170073079, 0.14738390776673677, 0.0358554695525931, 0.1399638938622687, 0.3417792935096831, 0.14352620836170563, 0.041562587376339014, 0.19759451119494365, -0.04230509723398696, -0.11939347102048083, -0.26283943949750177, -0.2135504815572252, -0.2668429464770102, 0.14058497040187595, -0.11542827068115002, -0.24003692830188406, 0.3781990379103701, 0.10403393885429034, 0.1538532866096055, -0.07794302065546314, 0.183278161989249, 0.11294146018917672, 0.026165744884767465, 0.032668812209050414, 0.26592253006485944, 0.18889174214672055, 0.10138668122925554, -0.25095417636826084, -0.022805371395036304, 0.06970562827094302] |
1,802.00803 | Five-loop massless propagator integrals | We develop a method to obtain $\epsilon$-expansions of massless two-point
integrals in position space, based on the constraints implied by symmetries of
the asymptotic expansion of conformal four-point integrals. Together with
parametric integration, we are able to fix the expansions of 170 genuine
five-loop master integrals. In particular, we computed the expansions of all
planar master integrals up to transcendental weight 9.
| hep-th | we develop a method to obtain epsilonexpansions of massless twopoint integrals in position space based on the constraints implied by symmetries of the asymptotic expansion of conformal fourpoint integrals together with parametric integration we are able to fix the expansions of 170 genuine fiveloop master integrals in particular we computed the expansions of all planar master integrals up to transcendental weight 9 | [['we', 'develop', 'a', 'method', 'to', 'obtain', 'epsilonexpansions', 'of', 'massless', 'twopoint', 'integrals', 'in', 'position', 'space', 'based', 'on', 'the', 'constraints', 'implied', 'by', 'symmetries', 'of', 'the', 'asymptotic', 'expansion', 'of', 'conformal', 'fourpoint', 'integrals', 'together', 'with', 'parametric', 'integration', 'we', 'are', 'able', 'to', 'fix', 'the', 'expansions', 'of', '170', 'genuine', 'fiveloop', 'master', 'integrals', 'in', 'particular', 'we', 'computed', 'the', 'expansions', 'of', 'all', 'planar', 'master', 'integrals', 'up', 'to', 'transcendental', 'weight', '9']] | [-0.1688434949685489, 0.08226417593147245, -0.12049077616463746, 0.08256104567478742, -0.12562156828390736, -0.029277645028947342, 0.07705574195020862, 0.33042079018008325, -0.1886820823194519, -0.24632477069333678, 0.09038615587633103, -0.28408483732792156, -0.15182800038206962, 0.2019311906469445, 0.014670797338288638, 0.10082393162132751, 0.026198182538557317, 0.03433278515454261, -0.1571395267401972, -0.32264393567287875, 0.3278130676236845, -0.07085880703262744, 0.17845069010171197, 0.011822209046518001, 0.15222562810466175, 0.04473736947740338, -0.07765822497106367, -0.07848485575044423, -0.1776439090890269, 0.16119540169564706, 0.2330741854534755, 0.039547674816041704, 0.18179121316080132, -0.3969845989974396, -0.11178120102868566, 0.056248281601696246, 0.20232823236484923, 0.10478259794293873, 0.0909649932047262, -0.2535557600279008, 0.009545610301316745, -0.1657594161919288, -0.26443376786436046, -0.1996226967011969, -0.018111387057410132, 0.008688756505087498, -0.2848898676794864, 0.12447331290722134, -0.05291124144869466, 0.034461708799485236, -0.03887701652673704, -0.1204191833854683, -0.007694832124416867, 0.12239502371859647, 0.03170724952923915, 0.03250345754467191, 0.07503970644827332, -0.1448158240696836, -0.14601342310948717, 0.31802481387820725, -0.12071790614525878, -0.24109011161471566, 0.09476652925067972, -0.23607006367115724, -0.18343603394685254, 0.14872689391936986, 0.1212462818385252, 0.17049029658007767, -0.22610262808420004, 0.1534930309055433, 0.05905349075140792, 0.06013183608546012, 0.16138657558739425, -0.007823776453733444, 0.11663968358639508, 0.003634327267777295, -0.009341655060603854, 0.1841726818632695, -0.02509370458597738, -0.13063468422830826, -0.40724910079922166, -0.13782456101879717, -0.15964574122147995, 0.08849642977058407, -0.17320472545801632, -0.23424480458901775, 0.3886678642668431, 0.15038795896403062, 0.15211876579410127, 0.13113877208783262, 0.22088893875479698, 0.21828158871240674, 0.1250822853224001, 0.06325784280535675, 0.17970829214450093, 0.18028702537694405, 0.021631698700554307, -0.22080272646440613, -0.07388841046251342, 0.19639882304134867] |
1,802.00804 | Theoretical description of Carbene-Metal-Amides | Carbene-Metal-Amide light-emitting diodes have recently shown internal
quantum efficiencies approaching 100%, and there has been substantial debate
concerning the cause of their exceptionally high efficiency. Here we present a
theoretical description of CMAs, showing how a simple three-atom model can
predict the form of the HOMO and LUMO, determine the polarization of
transitions and the feasibility of spin-orbit coupling, as well as the
qualitative dependence of excited state energies and oscillator strength on the
twist angle. These results clarify many of the claims concerning CMAs and pave
the way for the design of more efficient devices.
| physics.chem-ph cond-mat.mtrl-sci | carbenemetalamide lightemitting diodes have recently shown internal quantum efficiencies approaching 100 and there has been substantial debate concerning the cause of their exceptionally high efficiency here we present a theoretical description of cmas showing how a simple threeatom model can predict the form of the homo and lumo determine the polarization of transitions and the feasibility of spinorbit coupling as well as the qualitative dependence of excited state energies and oscillator strength on the twist angle these results clarify many of the claims concerning cmas and pave the way for the design of more efficient devices | [['carbenemetalamide', 'lightemitting', 'diodes', 'have', 'recently', 'shown', 'internal', 'quantum', 'efficiencies', 'approaching', '100', 'and', 'there', 'has', 'been', 'substantial', 'debate', 'concerning', 'the', 'cause', 'of', 'their', 'exceptionally', 'high', 'efficiency', 'here', 'we', 'present', 'a', 'theoretical', 'description', 'of', 'cmas', 'showing', 'how', 'a', 'simple', 'threeatom', 'model', 'can', 'predict', 'the', 'form', 'of', 'the', 'homo', 'and', 'lumo', 'determine', 'the', 'polarization', 'of', 'transitions', 'and', 'the', 'feasibility', 'of', 'spinorbit', 'coupling', 'as', 'well', 'as', 'the', 'qualitative', 'dependence', 'of', 'excited', 'state', 'energies', 'and', 'oscillator', 'strength', 'on', 'the', 'twist', 'angle', 'these', 'results', 'clarify', 'many', 'of', 'the', 'claims', 'concerning', 'cmas', 'and', 'pave', 'the', 'way', 'for', 'the', 'design', 'of', 'more', 'efficient', 'devices']] | [-0.1311213643461662, 0.12948059843559015, -0.056745636345524535, 0.04641129071088998, -0.017654629032078543, -0.13061375868947883, 0.08843998021299118, 0.41973902967415355, -0.20341687667134561, -0.35493506293155647, 0.034494280947470354, -0.2628971731976459, -0.1460322022928219, 0.22895459959920691, -0.010457933377198825, 0.04775760805871534, 0.04727230282549403, -0.020489532422078283, -0.03708245380732574, -0.1520529391850639, 0.2580880906334833, 0.09456468780745605, 0.2958507434121872, 0.157527436840495, 0.09218522520049623, -0.04406901228511216, 0.04219166779106385, -0.042259886733403335, -0.1320310321734532, 0.1301705375313759, 0.22803375102383525, 0.043546306432567926, 0.2564440324118263, -0.45336448754134934, -0.18667029531084392, 0.04536861856713107, 0.13640781911580185, 0.1380104596407986, -0.09111819518929176, -0.26018234409612456, 0.032290636787289065, -0.19425667611833072, -0.1622806133468035, -0.13362761005808257, 0.03258683895692229, 0.043384112853949004, -0.17223762810156729, 0.05395492900555071, 0.06257672201425425, 0.05135229013272022, -0.06479866984499447, -0.15947091601862523, -0.05748887783357579, 0.1273700721463875, 0.033799382944983476, 0.0035742606820636674, 0.1317507210187614, -0.16510707151242776, -0.15231114284282452, 0.3758334446012189, -0.02741862149835613, -0.10968497252385867, 0.19074714585501504, -0.15972350915207675, -0.08801881858196697, 0.10057185472626436, 0.13747279505294405, 0.10689200269744585, -0.08159010358841011, 0.043510120790329225, -0.005529110663031277, 0.14151556595277628, 0.07217584616308542, 0.12665199922201664, 0.2388177582111798, 0.17130688071545017, 0.004992758759027837, 0.12509736132709995, -0.09335740575027701, -0.09548502136021852, -0.24496515162877347, -0.16279515716688414, -0.14629490299052314, 0.09035984715446829, -0.04951183929178545, -0.13005079284745366, 0.42110810221761075, 0.1741654223076215, 0.20115207805249252, 0.00295594575275716, 0.25788384749505083, 0.12250788366471074, 0.05120503639459218, -0.0017949882600652545, 0.33141310414495434, 0.19290114489236945, 0.0656648138685054, -0.2761084588342591, 0.11990016049362327, -0.049075601480313036] |
1,802.00805 | Stable pair compactifications of the moduli space of degree one del
pezzo surfaces via elliptic fibrations | A degree one del Pezzo surface is the blowup of P^2 at 8 general points. By
the classical Cayley-Bacharach Theorem, there is a unique 9th point whose
blowup produces a rational elliptic surface with a section. Via this
relationship, we construct a stable pair compactification of the moduli space
of anti-canonically polarized degree one del Pezzo surfaces.
| math.AG | a degree one del pezzo surface is the blowup of p2 at 8 general points by the classical cayleybacharach theorem there is a unique 9th point whose blowup produces a rational elliptic surface with a section via this relationship we construct a stable pair compactification of the moduli space of anticanonically polarized degree one del pezzo surfaces | [['a', 'degree', 'one', 'del', 'pezzo', 'surface', 'is', 'the', 'blowup', 'of', 'p2', 'at', '8', 'general', 'points', 'by', 'the', 'classical', 'cayleybacharach', 'theorem', 'there', 'is', 'a', 'unique', '9th', 'point', 'whose', 'blowup', 'produces', 'a', 'rational', 'elliptic', 'surface', 'with', 'a', 'section', 'via', 'this', 'relationship', 'we', 'construct', 'a', 'stable', 'pair', 'compactification', 'of', 'the', 'moduli', 'space', 'of', 'anticanonically', 'polarized', 'degree', 'one', 'del', 'pezzo', 'surfaces']] | [-0.24538604817108103, 0.03083922514250796, -0.17201771926984452, 0.1263524256095192, -0.057492702974725446, -0.23724449957769952, 0.02077055685916556, 0.23192792581884483, -0.2879025585165149, -0.22065135636857072, 0.07630696249084155, -0.31332163837852706, -0.11779486215591692, 0.19252335786688746, -0.12159231051867991, -0.01937286264932992, 0.00022710493782110381, 0.028430298509958544, -0.11273897764387361, -0.3955576016298054, 0.4690778234467041, -0.06784360521685398, 0.20207675405892364, 0.07243189460744984, 0.17151301460373297, 0.04908915170010898, 0.06465897235300458, -0.06815397199457757, -0.17656435935120834, 0.156982226983497, 0.33340690112182575, -0.00022440978015462557, 0.12734846411305561, -0.3296450345793314, -0.18023504228576234, 0.23698073605957784, 0.026538071712773097, 0.060206062826246284, -0.012967498221418313, -0.17276810050794952, 0.0721174088437437, -0.059494304606025186, -0.3185085663817039, 0.007285976721169918, 0.03156995689169618, 0.028583379094734004, -0.17924588192417695, -0.03189924909945643, 0.08477108167451725, 0.215668576279361, 0.03286089373981221, -0.057002845136530436, -0.19590640121155925, -0.022811063026127062, -0.020260698872765426, 0.14284408368627755, 0.03709636540805692, -0.08105445926878274, -0.09460981547211607, 0.31351210846843425, -0.10116826378527963, -0.19275089737289308, 0.13909314442099185, -0.1492346984236256, -0.11105477703702554, 0.2505026345320961, 0.09611494694591353, 0.2507757504119358, 0.002479823257185911, 0.19246519845501894, -0.09676823564069836, 0.1248163354093936, 0.20710809406285224, -0.1087230396765415, 0.21255611518822742, 0.1610180625299874, 0.12145383031160586, 0.05387651417077633, -0.09552657948970272, -0.041080633080319354, -0.438519327394795, -0.18465279087653025, -0.07277531706188854, 0.17706841019619451, -0.11389884579796017, -0.155733235066005, 0.43865604838356376, -0.09407762463077936, 0.20568499442908847, 0.05293374897487331, 0.19734814547394453, 0.021454413078333203, -0.015971214780093806, 0.0640830640730105, 0.1915505978017392, 0.14778844299399407, -0.0133199255929835, -0.13019864315885984, -0.026742930662932627, 0.23562183811149576] |
1,802.00806 | Unified approach to geometric and positive-map-based non-linear
entanglement identifiers | Detecting quantumness of correlations (especially entanglement) is a very
hard task even in the simplest case i.e. two-partite quantum systems. Here we
provide an analysis whether there exists a relation between two most popular
types of entanglement identifiers: the first one based on positive maps and not
directly applicable in laboratory and the second one --- geometric entanglement
identifier which is based on specific Hermiticity-preserving maps. We show a
profound relation between those two types of entanglement criteria. Hereunder
we have proposed a general framework of nonlinear functional entanglement
identifiers which allows us to construct new experimentally friendly
entanglement criteria.
| quant-ph | detecting quantumness of correlations especially entanglement is a very hard task even in the simplest case ie twopartite quantum systems here we provide an analysis whether there exists a relation between two most popular types of entanglement identifiers the first one based on positive maps and not directly applicable in laboratory and the second one geometric entanglement identifier which is based on specific hermiticitypreserving maps we show a profound relation between those two types of entanglement criteria hereunder we have proposed a general framework of nonlinear functional entanglement identifiers which allows us to construct new experimentally friendly entanglement criteria | [['detecting', 'quantumness', 'of', 'correlations', 'especially', 'entanglement', 'is', 'a', 'very', 'hard', 'task', 'even', 'in', 'the', 'simplest', 'case', 'ie', 'twopartite', 'quantum', 'systems', 'here', 'we', 'provide', 'an', 'analysis', 'whether', 'there', 'exists', 'a', 'relation', 'between', 'two', 'most', 'popular', 'types', 'of', 'entanglement', 'identifiers', 'the', 'first', 'one', 'based', 'on', 'positive', 'maps', 'and', 'not', 'directly', 'applicable', 'in', 'laboratory', 'and', 'the', 'second', 'one', 'geometric', 'entanglement', 'identifier', 'which', 'is', 'based', 'on', 'specific', 'hermiticitypreserving', 'maps', 'we', 'show', 'a', 'profound', 'relation', 'between', 'those', 'two', 'types', 'of', 'entanglement', 'criteria', 'hereunder', 'we', 'have', 'proposed', 'a', 'general', 'framework', 'of', 'nonlinear', 'functional', 'entanglement', 'identifiers', 'which', 'allows', 'us', 'to', 'construct', 'new', 'experimentally', 'friendly', 'entanglement', 'criteria']] | [-0.1272516193508048, 0.0864165037215718, -0.12763289899819277, 0.12556226503085158, -0.06694769005366423, -0.26035473860725006, 0.03191482297126016, 0.35837005871827854, -0.22242150269095984, -0.2525997045967314, 0.05697118864639314, -0.27297164586556705, -0.17743464341067305, 0.2191649636799338, -0.034982685276043764, 0.08376086001505492, 0.025246559709282308, 0.052216822533419055, -0.059628832678432865, -0.22737745938098264, 0.3654899636067149, 0.0016836702783657896, 0.3200048635186947, 0.08952663568991491, 0.11292392162211014, -0.005560385416064299, -0.02013776493211738, 0.03372047750768487, -0.13980723502622408, 0.13291679780855023, 0.27722537089515514, 0.1819129667734031, 0.2730439549518956, -0.38321470382689227, -0.16735709012683594, 0.16249085903271204, 0.07063884997853276, 0.14201736861999814, -0.05132514912155316, -0.2712691480063391, 0.009184351246192525, -0.17231413111034216, -0.04490250619063671, -0.11372600773800955, 0.038690645366611966, -0.04498681554105133, -0.2312760979473365, 0.08966989833109006, 0.055678533961657777, 0.0862792079205239, -0.011677307265486117, 0.00320343530355868, 0.008083997219048365, 0.17164105048045666, -0.05343676433249405, -0.04002039139794016, 0.07133804384449666, -0.10262279355465764, -0.16242806280426908, 0.361135301057889, -0.028270968320694836, -0.22462418515733773, 0.26582485725726895, -0.09998585009063134, -0.204490853689912, 0.026272785003212364, 0.11584568473820885, 0.13687450493300202, -0.17900693237856782, 0.007328679863918535, -0.05921959285883026, 0.22399091242690278, 0.0692067164739575, 0.10633196866885299, 0.2218339457976246, 0.09878671062978531, 0.08862316739895955, 0.20750511649318717, -0.05580257761734302, -0.1037757218335614, -0.3018047867643863, -0.18806290564437708, -0.20301705552735413, 0.034379216004074835, -0.08772189148455961, -0.15218739821387436, 0.41686031197884466, 0.15004142113232802, 0.1528263959582105, 0.023716887663767644, 0.25892202036262424, 0.07365380846566022, 0.069757176230875, 0.07789799145768594, 0.2321381899293023, 0.1054460864815146, 0.07012940807776018, -0.18863125960607166, 0.08896364553389374, 0.07074097896258187] |
1,802.00807 | Unlearning and Seyab's theorem: a dialogue about updating probability | This dialogue explores the possibility of updating a probability as a
consequence of unlearning, reversing the role of prior and posterior
probabilities.
| physics.pop-ph physics.data-an quant-ph | this dialogue explores the possibility of updating a probability as a consequence of unlearning reversing the role of prior and posterior probabilities | [['this', 'dialogue', 'explores', 'the', 'possibility', 'of', 'updating', 'a', 'probability', 'as', 'a', 'consequence', 'of', 'unlearning', 'reversing', 'the', 'role', 'of', 'prior', 'and', 'posterior', 'probabilities']] | [-0.11118958170779726, 0.11153964063322003, -0.0760017206934704, 0.08052251142428511, -0.0981562811542641, -0.008196302393282002, 0.2345544430003925, 0.364463557573882, -0.26902003480460157, -0.29950641794130206, 0.02809573146937923, -0.1525740809738636, -0.1521011092276736, 0.09629133885557001, -0.11160280115225098, 0.08620101416652853, 0.03675298511304639, 0.08482038627632639, -0.09369694623588161, -0.1867557864805514, 0.3341345986012708, 0.127577381208539, 0.2991156411272558, -0.011235540177122775, 0.16017167960208925, 0.08985881498930129, -0.08789311565289443, -0.09219898850741712, -0.10493657780303196, 0.10437228932807391, 0.2872705159878189, 0.21278951156207107, 0.4363728179173036, -0.35895498300140555, -0.19707463423467494, 0.13794236096807502, 0.13880930756303397, 0.16444413059137084, -0.059507671489634296, -0.3459373787045479, -0.0075462771240960465, -0.2549755055118691, -0.09627162210050631, -0.0325091267851266, 0.006191272796554999, 0.0240368335401978, -0.3196177679664371, 0.0727080062285743, 0.19537269476462493, 0.03351653968407349, -0.010826341130516746, -0.10763035443696109, -0.04546747483651747, 0.1925203016620468, 0.09847726569172334, 0.03309562704949216, 0.15114492347294634, -0.17433892502661116, -0.17796998233957725, 0.2879934473471208, -0.02899584478952668, -0.1836890099062161, 0.0895924078385261, -0.07899415289813821, -0.12770165553824467, 0.05484368381175128, 0.142415382349017, 0.12592771090567112, -0.13525420567020774, 0.06411195211694576, -0.030292054304895413, 0.10599507126872512, 0.08187225372107192, 0.027673758143051105, 0.27458403462713415, 0.21384663608941165, 0.10235086451707916, 0.16117526887154038, -0.11293225980956446, -0.14245219111696564, -0.30829780400646006, -0.23090417564592577, -0.18356097641993652, 0.061424865048717366, -0.09649012362602992, -0.16953824468973008, 0.3941068631935526, 0.1991004544225606, 0.26782383481887256, 0.09025286449733275, 0.2655822245234793, 0.046099332536951726, -0.05336883096871051, 0.007995929844169454, 0.1399556577512571, 0.09989328699355776, 0.04835147766227072, -0.1999708121981133, 0.25989297055639327, 0.04790703630582853] |
1,802.00808 | Decrease of transit-time broadening of spectral resonances by optical
pumping of atoms | We propose the new method of essential decrease of transit-time broadening of
Doppler-free absorption resonances on transitions between long-lived quantum
levels of atoms (or molecules) of a rarefied gas medium. This method is based
on preliminary optical pumping of the ground term of atoms (molecules) by
additional radiation which is spatially separated from the recording light
beam. The proposed method may be applied in atomic (molecular) spectroscopy of
ultra high resolution and also in frequency and time standards.
| physics.atom-ph physics.optics | we propose the new method of essential decrease of transittime broadening of dopplerfree absorption resonances on transitions between longlived quantum levels of atoms or molecules of a rarefied gas medium this method is based on preliminary optical pumping of the ground term of atoms molecules by additional radiation which is spatially separated from the recording light beam the proposed method may be applied in atomic molecular spectroscopy of ultra high resolution and also in frequency and time standards | [['we', 'propose', 'the', 'new', 'method', 'of', 'essential', 'decrease', 'of', 'transittime', 'broadening', 'of', 'dopplerfree', 'absorption', 'resonances', 'on', 'transitions', 'between', 'longlived', 'quantum', 'levels', 'of', 'atoms', 'or', 'molecules', 'of', 'a', 'rarefied', 'gas', 'medium', 'this', 'method', 'is', 'based', 'on', 'preliminary', 'optical', 'pumping', 'of', 'the', 'ground', 'term', 'of', 'atoms', 'molecules', 'by', 'additional', 'radiation', 'which', 'is', 'spatially', 'separated', 'from', 'the', 'recording', 'light', 'beam', 'the', 'proposed', 'method', 'may', 'be', 'applied', 'in', 'atomic', 'molecular', 'spectroscopy', 'of', 'ultra', 'high', 'resolution', 'and', 'also', 'in', 'frequency', 'and', 'time', 'standards']] | [-0.10176011066337545, 0.18517504250391936, -0.06879851124129999, -0.008690654877752352, 0.02989087819468039, -0.14183572575282782, 0.09467882052577363, 0.4430719151233251, -0.2312952677408854, -0.32048249290062064, 0.01449213590986358, -0.24475097579833788, -0.04757918624314838, 0.1807768440966566, 0.01722760766577453, 0.03935219927389438, 0.05246661932995686, -0.07800560743094255, 0.015867756894574717, -0.1525055534707812, 0.29601623012254447, 0.09164625738645928, 0.2645965150247018, 0.11169610480562998, 0.11527505907445, -0.0426542883595595, -0.002727160730267851, -0.057807256443760335, -0.06531299907678309, 0.1536375188913483, 0.22344708310750624, 0.026517806270231422, 0.23349447945992535, -0.46036967071585166, -0.24574132112171262, 0.0399551374049714, 0.18272482726472214, 0.1786492463747541, -0.06501726938698155, -0.3220307000267964, -0.036353733927871175, -0.11434735431789587, -0.1283018423590618, -0.08138527936982708, -0.0075637128275747485, 0.07941489452376771, -0.2553747252632792, 0.11687023429914963, 0.0034248990302260677, 0.12417283310340001, -0.10834093373985244, -0.08379361704469492, 0.03326499506305808, 0.05146415609544, -0.0581653356187953, 0.009843286643258464, 0.18349198105100256, -0.10261154000181705, -0.0719489277794193, 0.41328550446539736, -0.1599944935938439, -0.09316933961012043, 0.20375775060025403, -0.16579703277556035, -0.07831664134461719, 0.23802132182157573, 0.17656119798238462, 0.13783605454059747, -0.12228198927224208, -0.015934532900782637, 0.004434803655991952, 0.2242909093411305, 0.1130786207683671, 0.1388653663512415, 0.2200289685995533, 0.173600335414402, 0.023944918639384784, 0.13964647019896895, -0.1883903579034198, -0.024851810476647165, -0.2382647573756866, -0.16140932417832887, -0.2080967700920808, 0.03077820977434898, -0.013999830011669427, -0.11748025165154384, 0.3704207696331044, 0.12737922637442795, 0.14843137611378318, -0.11298196109531161, 0.3742376966879536, 0.12753922514951763, 0.06533708262782639, -0.0031113039227560735, 0.24930045646257126, 0.16656719569343692, 0.11807875289844397, -0.30500947516590643, 0.008617783293653375, 0.003962064657408075] |
1,802.00809 | Arf good semigroups with fixed conductor | In this paper we present a new algorithm to calculate the set of Arf
numerical semigroups with given conductor. Moreover, we extend the previous
problem to the class of good semigroups, presenting procedures to compute the
set of the Arf good semigroups of $\mathbb{N}^r$ with a fixed conductor
$\textbf{c} \in \mathbb{N}^r$, for all $r \in \mathbb{N}$.
| math.AC | in this paper we present a new algorithm to calculate the set of arf numerical semigroups with given conductor moreover we extend the previous problem to the class of good semigroups presenting procedures to compute the set of the arf good semigroups of mathbbnr with a fixed conductor textbfc in mathbbnr for all r in mathbbn | [['in', 'this', 'paper', 'we', 'present', 'a', 'new', 'algorithm', 'to', 'calculate', 'the', 'set', 'of', 'arf', 'numerical', 'semigroups', 'with', 'given', 'conductor', 'moreover', 'we', 'extend', 'the', 'previous', 'problem', 'to', 'the', 'class', 'of', 'good', 'semigroups', 'presenting', 'procedures', 'to', 'compute', 'the', 'set', 'of', 'the', 'arf', 'good', 'semigroups', 'of', 'mathbbnr', 'with', 'a', 'fixed', 'conductor', 'textbfc', 'in', 'mathbbnr', 'for', 'all', 'r', 'in', 'mathbbn']] | [-0.13164555381185242, 0.014567460066505842, -0.035679212771356106, 0.022062163639930077, -0.04308701412602594, -0.10492802998383663, 0.06686099435527078, 0.3814055167936853, -0.2872667224146426, -0.23675415797957353, 0.06722672388215349, -0.30459766096568536, -0.1146264443772712, 0.26216759798782213, -0.12677086839851523, 0.1049418434101556, 0.038538118732893575, 0.062473455078101585, -0.10351405442426247, -0.2602734695350851, 0.3601705215073058, 0.03949524929547416, 0.15129725192673504, 0.04050696015890155, 0.07152197272184171, -0.01639319895600368, -0.053056078331012814, 0.029819957396414663, -0.21970556093895408, 0.13994744878852675, 0.3073829731438309, 0.079324099002406, 0.23967176655839598, -0.3794559342620362, -0.14607714761846832, 0.20751851376345648, 0.07984963689731168, 0.06797614833340049, -0.060272504010104706, -0.2122121362148651, 0.19834774133882352, -0.19189698199209357, -0.13635471089011325, -0.09735919583285327, 0.05911360188786473, 0.054603434999340346, -0.31864916536557886, -0.035515792559765814, 0.08209255956379431, 0.11109250897009458, -0.028032550987388407, -0.10765476065820881, 0.06351920182766792, 0.10533289902377874, -0.008154693325715405, 0.027715212374459952, 0.04687850756038513, -0.06892545497560475, -0.1319305168331734, 0.3459131022516106, -0.05191292693572385, -0.19307674537412822, 0.1268657893649236, -0.19946985118024582, -0.13821566800054694, 0.14210820214689843, 0.09731179605504232, 0.15937587818396942, -0.09230693986007411, 0.11915655624553827, -0.14509658605259443, 0.08522332691271524, 0.05053261306602508, -0.023149264244628803, 0.09615992416261829, 0.12371928485143664, 0.06142576175209667, 0.22449401360271232, 0.04617791524755636, 0.014379866978353155, -0.38469947023051126, -0.180482890240715, -0.14760194304939692, 0.03665602724816251, -0.05301838744864134, -0.23388954711013607, 0.42423526417197926, 0.1977550053603149, 0.18773101080608154, 0.1557161522962685, 0.2010111530211621, 0.09909388864980428, -0.02561674193878259, 0.091963138493676, 0.09469770207735044, 0.15277483520497168, 0.025395319547637234, -0.2061604428204841, -0.028447872759508237, 0.15592726941187202] |
1,802.0081 | Deep Learning for Genomics: A Concise Overview | Advancements in genomic research such as high-throughput sequencing
techniques have driven modern genomic studies into "big data" disciplines. This
data explosion is constantly challenging conventional methods used in genomics.
In parallel with the urgent demand for robust algorithms, deep learning has
succeeded in a variety of fields such as vision, speech, and text processing.
Yet genomics entails unique challenges to deep learning since we are expecting
from deep learning a superhuman intelligence that explores beyond our knowledge
to interpret the genome. A powerful deep learning model should rely on
insightful utilization of task-specific knowledge. In this paper, we briefly
discuss the strengths of different deep learning models from a genomic
perspective so as to fit each particular task with a proper deep architecture,
and remark on practical considerations of developing modern deep learning
architectures for genomics. We also provide a concise review of deep learning
applications in various aspects of genomic research, as well as pointing out
potential opportunities and obstacles for future genomics applications.
| q-bio.GN cs.LG | advancements in genomic research such as highthroughput sequencing techniques have driven modern genomic studies into big data disciplines this data explosion is constantly challenging conventional methods used in genomics in parallel with the urgent demand for robust algorithms deep learning has succeeded in a variety of fields such as vision speech and text processing yet genomics entails unique challenges to deep learning since we are expecting from deep learning a superhuman intelligence that explores beyond our knowledge to interpret the genome a powerful deep learning model should rely on insightful utilization of taskspecific knowledge in this paper we briefly discuss the strengths of different deep learning models from a genomic perspective so as to fit each particular task with a proper deep architecture and remark on practical considerations of developing modern deep learning architectures for genomics we also provide a concise review of deep learning applications in various aspects of genomic research as well as pointing out potential opportunities and obstacles for future genomics applications | [['advancements', 'in', 'genomic', 'research', 'such', 'as', 'highthroughput', 'sequencing', 'techniques', 'have', 'driven', 'modern', 'genomic', 'studies', 'into', 'big', 'data', 'disciplines', 'this', 'data', 'explosion', 'is', 'constantly', 'challenging', 'conventional', 'methods', 'used', 'in', 'genomics', 'in', 'parallel', 'with', 'the', 'urgent', 'demand', 'for', 'robust', 'algorithms', 'deep', 'learning', 'has', 'succeeded', 'in', 'a', 'variety', 'of', 'fields', 'such', 'as', 'vision', 'speech', 'and', 'text', 'processing', 'yet', 'genomics', 'entails', 'unique', 'challenges', 'to', 'deep', 'learning', 'since', 'we', 'are', 'expecting', 'from', 'deep', 'learning', 'a', 'superhuman', 'intelligence', 'that', 'explores', 'beyond', 'our', 'knowledge', 'to', 'interpret', 'the', 'genome', 'a', 'powerful', 'deep', 'learning', 'model', 'should', 'rely', 'on', 'insightful', 'utilization', 'of', 'taskspecific', 'knowledge', 'in', 'this', 'paper', 'we', 'briefly', 'discuss', 'the', 'strengths', 'of', 'different', 'deep', 'learning', 'models', 'from', 'a', 'genomic', 'perspective', 'so', 'as', 'to', 'fit', 'each', 'particular', 'task', 'with', 'a', 'proper', 'deep', 'architecture', 'and', 'remark', 'on', 'practical', 'considerations', 'of', 'developing', 'modern', 'deep', 'learning', 'architectures', 'for', 'genomics', 'we', 'also', 'provide', 'a', 'concise', 'review', 'of', 'deep', 'learning', 'applications', 'in', 'various', 'aspects', 'of', 'genomic', 'research', 'as', 'well', 'as', 'pointing', 'out', 'potential', 'opportunities', 'and', 'obstacles', 'for', 'future', 'genomics', 'applications']] | [-0.018536481110266213, 0.002228421438485384, -0.04982355327881647, 0.08621348017406875, -0.15751507037855458, -0.17662061649289998, 0.025132155246947976, 0.4437547925351696, -0.3082888404888129, -0.30798659637873765, 0.07505440685552348, -0.2518397524275563, -0.25682182454250074, 0.26465338261261806, -0.14516710381616246, 0.10306211979777524, 0.1594075910133225, 0.015032551715778412, -0.03469590737032845, -0.25697363777594134, 0.26016033179493564, 0.03714721452614123, 0.3698081534906206, 0.0498030640805761, 0.08758662968104931, -0.029261015722471657, -0.06743119421951246, -0.03243452888546568, -0.11621255825320435, 0.2383009381803938, 0.4627047582821626, 0.31000442999330435, 0.43199719320982694, -0.4738033613133611, -0.2829150464682078, 0.10046914166657987, 0.19954751979164553, 0.1543352723460306, -0.10914099004232522, -0.30273521237752654, 0.03887675301644556, -0.14236109523159085, -0.015224348930077571, -0.18248901072692014, 0.008793978308412161, 0.008139315766818596, -0.21151046590089345, -0.015427188252303468, 0.03093762892919282, 0.15238932073680742, -0.019885620026792766, -0.18045720041475513, 0.10467912318453079, 0.17257480168094239, 0.10422045824534232, 0.08854066385661788, 0.15374309950310625, -0.22543178024899327, -0.17402062599518986, 0.3543002542108297, -0.0295178078495982, -0.11302429849677013, 0.23143528494419474, 0.01907774551037812, -0.27004649381463725, 0.03869234626322533, 0.2649647232250903, 0.05992267537636287, -0.2149275246704223, 0.09789400986346387, 0.037749702268929194, 0.11870804745139497, 0.022822451892054892, 0.029869375595202047, 0.26320198625890595, 0.3274092203492976, 0.02157724873783688, 0.0810478404502977, -0.11397343140772798, -0.09736959945523378, -0.18568128765645353, -0.12411807732176826, -0.1533744873083902, 0.033202825020998715, -0.0640579218366783, -0.15894865154034712, 0.3441957879472863, 0.21868741713802922, 0.17745660089986456, 0.036023122747428714, 0.36900413743022714, -0.040302926300545085, 0.15951133534086473, 0.04029207874167089, 0.16944628436273584, 0.04490475057850055, 0.20993214172847344, -0.1167854467863711, 0.05854335938806109, -0.05851917992712873] |
1,802.00811 | A Trajectory from a Vertex to Itself on the Dodecahedron | We prove that there exists a geodesic trajectory on the dodecahedron from a
vertex to itself that does not pass through any other vertex.
| math.HO math.GT | we prove that there exists a geodesic trajectory on the dodecahedron from a vertex to itself that does not pass through any other vertex | [['we', 'prove', 'that', 'there', 'exists', 'a', 'geodesic', 'trajectory', 'on', 'the', 'dodecahedron', 'from', 'a', 'vertex', 'to', 'itself', 'that', 'does', 'not', 'pass', 'through', 'any', 'other', 'vertex']] | [-0.12353224478041132, 0.08878120737305532, -0.1572154575648407, 0.028067225978399318, -0.20304421824403107, -0.19331550865899771, 0.1112353391557311, 0.4234056292722623, -0.3227090654739489, -0.13327926808657745, 0.07964279244576271, -0.3766769349264602, -0.1743383607827127, 0.17407440952956676, -0.0944634413657089, -0.0683043811780711, 0.2331578207667917, 0.18862311503229043, -0.03374907359830104, -0.1888528597773984, 0.3165203840471804, -0.089588274480775, 0.16157069278415293, 0.09584457085778315, 0.21431525920828184, 0.09459342305005218, 0.07072201549696426, 0.1111567373542736, -0.17161090503517093, -0.00951774495964249, 0.1915428271483203, 0.21476403756726845, 0.25349822143713635, -0.4427782551695903, -0.20357965879763165, 0.21067457630609474, 0.16219570414007953, 0.10188526792141299, -0.0952164904010715, -0.17890183487907052, 0.13648885866859928, -0.08509012560049693, -0.14617728403148553, 0.0066004555361966295, 0.025317762978374958, -0.03528151731006801, -0.20555620689022666, -0.030126725789159536, 0.15127999987453222, -0.030262308078818023, 0.05296077639407789, -0.04461855130891005, -0.1409641873712341, 0.1312921371233339, -0.01887582355023672, 0.13844719441840425, 0.09486990943939115, -0.0766091455006972, -0.17573630056964853, 0.3983301517243187, -0.032132749600956835, -0.266062062078466, 0.19943250995129347, -0.18607614880117276, -0.15488197582696253, 0.11826561484485865, 0.05764613548914591, 0.09837215017372121, -0.12364381862183411, 0.15254883437107006, -0.13022918615024537, 0.20249910265556537, 0.10352312005124986, -0.06255743796161066, 0.1652356393945714, 0.005942914557332794, 0.22097055627576387, 0.10504862848756602, -0.05884339352875637, -0.07528112254415949, -0.41538060021897155, -0.10952215626214941, -0.2397655693736548, 0.11058710376831489, -0.10099462756625144, -0.25058430852368474, 0.36057433431657654, 0.13895824754339023, 0.21608813060447574, 0.04880914918612689, 0.25335217466636095, 0.055895659839734435, 0.1843827279905478, 0.19372557383030653, 0.2381048222693304, -0.029282981461922947, -0.015651904201755922, -0.14902570396467732, 0.06201971341700604, 0.181267691620936] |
1,802.00812 | Globular cluster populations and the kinematical fingerprints of minor
mergers | We use Monte Carlo $\Lambda$CDM assembly histories, minor-merger N-body
simulations and empirical relations between halo mass and the globular cluster
(GC) abundance to study the kinematical properties of halo GCs in massive
galaxies, with $M_{vir}(z=0)=10^{13.5}M_\odot$. While the accreted stellar halo
is dominated by the contributions of massive satellites, we show that
satellites with low virial mass (i.e. low satellite-to-host virial mass ratio,
VMRs) are important contributors to the population of accreted GCs. The
relative contribution of accretion events with low VMRs is highest for the halo
population of blue GCs and gradually decreases for red GCs and accreted stars.
As a consequence of the reduced efficiency of dynamical friction on minor
mergers, our populations of cosmologically accreted blue GCs are systematically
more spatially extended and have higher velocity dispersions than for red GCs,
in agreement with observations. For the same reason, assembly histories
including a higher fraction of minor mergers result in more spatially extended
GC populations. GC line-of-sight velocity distributions featuring negative
values of the kurtosis $\kappa$, as recently observed, are ubiquitous in our
models. Therefore, $\kappa<0$ is not at odds with an accretion scenario, and in
fact a fingerprint of the important contribution of minor mergers. However, our
populations of accreted GCs remain mostly radially biased, with profiles of the
anisotropy parameter $\beta$ that are mildly radial in the center
($\beta(r<10~{\rm kpc})\sim0.2$) and strongly radially anisotropic at large
galactocentric distances ($\beta(r>30~{\rm kpc})\gtrsim0.6$), for both red and
blue populations.
| astro-ph.GA astro-ph.CO | we use monte carlo lambdacdm assembly histories minormerger nbody simulations and empirical relations between halo mass and the globular cluster gc abundance to study the kinematical properties of halo gcs in massive galaxies with m_virz010135m_odot while the accreted stellar halo is dominated by the contributions of massive satellites we show that satellites with low virial mass ie low satellitetohost virial mass ratio vmrs are important contributors to the population of accreted gcs the relative contribution of accretion events with low vmrs is highest for the halo population of blue gcs and gradually decreases for red gcs and accreted stars as a consequence of the reduced efficiency of dynamical friction on minor mergers our populations of cosmologically accreted blue gcs are systematically more spatially extended and have higher velocity dispersions than for red gcs in agreement with observations for the same reason assembly histories including a higher fraction of minor mergers result in more spatially extended gc populations gc lineofsight velocity distributions featuring negative values of the kurtosis kappa as recently observed are ubiquitous in our models therefore kappa0 is not at odds with an accretion scenario and in fact a fingerprint of the important contribution of minor mergers however our populations of accreted gcs remain mostly radially biased with profiles of the anisotropy parameter beta that are mildly radial in the center betar10rm kpcsim02 and strongly radially anisotropic at large galactocentric distances betar30rm kpcgtrsim06 for both red and blue populations | [['we', 'use', 'monte', 'carlo', 'lambdacdm', 'assembly', 'histories', 'minormerger', 'nbody', 'simulations', 'and', 'empirical', 'relations', 'between', 'halo', 'mass', 'and', 'the', 'globular', 'cluster', 'gc', 'abundance', 'to', 'study', 'the', 'kinematical', 'properties', 'of', 'halo', 'gcs', 'in', 'massive', 'galaxies', 'with', 'm_virz010135m_odot', 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1,802.00813 | Geometric engineering on flops of length two | Type IIA on the conifold is a prototype example for engineering QED with one
charged hypermultiplet. The geometry admits a flop of length one. In this
paper, we study the next generation of geometric engineering on singular
geometries, namely flops of length two such as Laufer's example, which we
affectionately think of as the $\it{conifold\ 2.0}$. Type IIA on the latter
geometry gives QED with higher-charge states. In type IIB, even a single
D3-probe gives rise to a nonabelian quiver gauge theory. We study this class of
geometries explicitly by leveraging their quiver description, showing how to
parametrize the exceptional curve, how to see the flop transition, and how to
find the noncompact divisors intersecting the curve. With a view towards
F-theory applications, we show how these divisors contribute to the enhancement
of the Mordell-Weil group of the local elliptic fibration defined by Laufer's
example.
| hep-th math.AG | type iia on the conifold is a prototype example for engineering qed with one charged hypermultiplet the geometry admits a flop of length one in this paper we study the next generation of geometric engineering on singular geometries namely flops of length two such as laufers example which we affectionately think of as the itconifold 20 type iia on the latter geometry gives qed with highercharge states in type iib even a single d3probe gives rise to a nonabelian quiver gauge theory we study this class of geometries explicitly by leveraging their quiver description showing how to parametrize the exceptional curve how to see the flop transition and how to find the noncompact divisors intersecting the curve with a view towards ftheory applications we show how these divisors contribute to the enhancement of the mordellweil group of the local elliptic fibration defined by laufers example | [['type', 'iia', 'on', 'the', 'conifold', 'is', 'a', 'prototype', 'example', 'for', 'engineering', 'qed', 'with', 'one', 'charged', 'hypermultiplet', 'the', 'geometry', 'admits', 'a', 'flop', 'of', 'length', 'one', 'in', 'this', 'paper', 'we', 'study', 'the', 'next', 'generation', 'of', 'geometric', 'engineering', 'on', 'singular', 'geometries', 'namely', 'flops', 'of', 'length', 'two', 'such', 'as', 'laufers', 'example', 'which', 'we', 'affectionately', 'think', 'of', 'as', 'the', 'itconifold', '20', 'type', 'iia', 'on', 'the', 'latter', 'geometry', 'gives', 'qed', 'with', 'highercharge', 'states', 'in', 'type', 'iib', 'even', 'a', 'single', 'd3probe', 'gives', 'rise', 'to', 'a', 'nonabelian', 'quiver', 'gauge', 'theory', 'we', 'study', 'this', 'class', 'of', 'geometries', 'explicitly', 'by', 'leveraging', 'their', 'quiver', 'description', 'showing', 'how', 'to', 'parametrize', 'the', 'exceptional', 'curve', 'how', 'to', 'see', 'the', 'flop', 'transition', 'and', 'how', 'to', 'find', 'the', 'noncompact', 'divisors', 'intersecting', 'the', 'curve', 'with', 'a', 'view', 'towards', 'ftheory', 'applications', 'we', 'show', 'how', 'these', 'divisors', 'contribute', 'to', 'the', 'enhancement', 'of', 'the', 'mordellweil', 'group', 'of', 'the', 'local', 'elliptic', 'fibration', 'defined', 'by', 'laufers', 'example']] | [-0.14791022482515676, 0.08847922946895576, -0.06685130659348539, 0.09056158747585465, -0.09654636251636678, -0.1785509514318417, 0.014657932171960257, 0.3192087320688491, -0.227857661540232, -0.26883266734593136, 0.09051595215957302, -0.24807637819968578, -0.20470864945996758, 0.1816652902505464, -0.13862361439084403, -0.06729782549923079, 0.011521378189273592, 0.05778157900689015, -0.11030897108301158, -0.27724447538558805, 0.37356533271506326, -0.02473271060363105, 0.2904667535395775, 0.05806215290552549, 0.09140173124291727, 0.022556529966499914, 0.035530144539532356, -0.010323900351068005, -0.13109439084630342, 0.15484059363572872, 0.2777814452096613, 0.06513372098238, 0.12117248313410932, -0.4155907542477103, -0.17718993611763129, 0.14019458400273127, 0.14200633405966478, 0.1327798272468499, -0.03300476010271167, -0.22700923338480708, 0.0475938890166516, -0.15587773063452914, -0.22096964716022033, -0.07138280800588997, -0.00018356189442177614, -0.0101864415304994, -0.1798390822853738, -0.02806255255644727, 0.044307161407131285, 0.08670698952887, -0.0006479630849046063, -0.05219414987449353, -0.05501729527087365, 0.05665582811990236, 0.0609884104487719, 0.05119883714683561, 0.12497125049533982, -0.15369422609930755, -0.1563172562903977, 0.3661504552340678, -0.05551878744154237, -0.1950299855881086, 0.12651287711923942, -0.11077792498528855, -0.16064743076114812, 0.11378722840325078, 0.11550036308633732, 0.15549824598969686, -0.04518069852040046, 0.14720663880345658, -0.05382766796457064, 0.10490846217726357, 0.08534711301197401, 0.02941029653205381, 0.1937484583177138, 0.1567370154468032, 0.0482922117209657, 0.1630989860665674, -0.03905809041882296, -0.08946116550618576, -0.409589370563885, -0.1558453880505921, -0.07130987254398254, 0.21372886908163005, -0.12768783819198384, -0.18906264774785894, 0.4269518203671194, 0.08360640222357081, 0.20562353913879228, 0.03456358990176037, 0.19000786760201058, 0.05385374262146393, 0.0658951111432139, 0.0029763203056063503, 0.20580147929851794, 0.1466294023023996, 0.05512593163035086, -0.22674690045662121, -0.09239190297860962, 0.20679532686093202] |
1,802.00814 | Top-philic dark matter within and beyond the WIMP paradigm | We present a comprehensive analysis of top-philic Majorana dark matter that
interacts via a colored t-channel mediator. Despite the simplicity of the model
-- introducing three parameters only -- it provides an extremely rich
phenomenology allowing us to accommodate the relic density for a large range of
coupling strengths spanning over six orders of magnitude. This model features
all `exceptional' mechanisms for dark matter freeze-out, including the recently
discovered conversion-driven freeze-out mode, with interesting signatures of
long-lived colored particles at colliders. We constrain the cosmologically
allowed parameter space with current experimental limits from direct, indirect
and collider searches, with special emphasis on light dark matter below the top
mass. In particular, we explore the interplay between limits from Xenon1T,
Fermi-LAT and AMS-02 as well as limits from stop, monojet and Higgs invisible
decay searches at the LHC. We find that several blind spots for light dark
matter evade current constraints. The region in parameter space where the relic
density is set by the mechanism of conversion-driven freeze-out can be
conclusively tested by R-hadron searches at the LHC with 300\,fb$^{-1}$.
| hep-ph astro-ph.CO | we present a comprehensive analysis of topphilic majorana dark matter that interacts via a colored tchannel mediator despite the simplicity of the model introducing three parameters only it provides an extremely rich phenomenology allowing us to accommodate the relic density for a large range of coupling strengths spanning over six orders of magnitude this model features all exceptional mechanisms for dark matter freezeout including the recently discovered conversiondriven freezeout mode with interesting signatures of longlived colored particles at colliders we constrain the cosmologically allowed parameter space with current experimental limits from direct indirect and collider searches with special emphasis on light dark matter below the top mass in particular we explore the interplay between limits from xenon1t fermilat and ams02 as well as limits from stop monojet and higgs invisible decay searches at the lhc we find that several blind spots for light dark matter evade current constraints the region in parameter space where the relic density is set by the mechanism of conversiondriven freezeout can be conclusively tested by rhadron searches at the lhc with 300fb1 | [['we', 'present', 'a', 'comprehensive', 'analysis', 'of', 'topphilic', 'majorana', 'dark', 'matter', 'that', 'interacts', 'via', 'a', 'colored', 'tchannel', 'mediator', 'despite', 'the', 'simplicity', 'of', 'the', 'model', 'introducing', 'three', 'parameters', 'only', 'it', 'provides', 'an', 'extremely', 'rich', 'phenomenology', 'allowing', 'us', 'to', 'accommodate', 'the', 'relic', 'density', 'for', 'a', 'large', 'range', 'of', 'coupling', 'strengths', 'spanning', 'over', 'six', 'orders', 'of', 'magnitude', 'this', 'model', 'features', 'all', 'exceptional', 'mechanisms', 'for', 'dark', 'matter', 'freezeout', 'including', 'the', 'recently', 'discovered', 'conversiondriven', 'freezeout', 'mode', 'with', 'interesting', 'signatures', 'of', 'longlived', 'colored', 'particles', 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1,802.00815 | Numerically solving the relativistic Grad-Shafranov equation in Kerr
spacetimes: Numerical techniques | The study of the electrodynamics of static, axisymmetric and force-free Kerr
magnetospheres relies vastly on solutions of the so called relativistic
Grad-Shafranov equation (GSE). Different numerical approaches to the solution
of the GSE have been introduced in the literature, but none of them has been
fully assessed from the numerical point of view in terms of efficiency and
quality of the solutions found. We present a generalization of these algorithms
and give detailed background on the algorithmic implementation. We assess the
numerical stability of the implemented algorithms and quantify the convergence
of the presented methodology for the most established setups (split-monopole,
paraboloidal, BH-disk, uniform).
| astro-ph.HE gr-qc | the study of the electrodynamics of static axisymmetric and forcefree kerr magnetospheres relies vastly on solutions of the so called relativistic gradshafranov equation gse different numerical approaches to the solution of the gse have been introduced in the literature but none of them has been fully assessed from the numerical point of view in terms of efficiency and quality of the solutions found we present a generalization of these algorithms and give detailed background on the algorithmic implementation we assess the numerical stability of the implemented algorithms and quantify the convergence of the presented methodology for the most established setups splitmonopole paraboloidal bhdisk uniform | [['the', 'study', 'of', 'the', 'electrodynamics', 'of', 'static', 'axisymmetric', 'and', 'forcefree', 'kerr', 'magnetospheres', 'relies', 'vastly', 'on', 'solutions', 'of', 'the', 'so', 'called', 'relativistic', 'gradshafranov', 'equation', 'gse', 'different', 'numerical', 'approaches', 'to', 'the', 'solution', 'of', 'the', 'gse', 'have', 'been', 'introduced', 'in', 'the', 'literature', 'but', 'none', 'of', 'them', 'has', 'been', 'fully', 'assessed', 'from', 'the', 'numerical', 'point', 'of', 'view', 'in', 'terms', 'of', 'efficiency', 'and', 'quality', 'of', 'the', 'solutions', 'found', 'we', 'present', 'a', 'generalization', 'of', 'these', 'algorithms', 'and', 'give', 'detailed', 'background', 'on', 'the', 'algorithmic', 'implementation', 'we', 'assess', 'the', 'numerical', 'stability', 'of', 'the', 'implemented', 'algorithms', 'and', 'quantify', 'the', 'convergence', 'of', 'the', 'presented', 'methodology', 'for', 'the', 'most', 'established', 'setups', 'splitmonopole', 'paraboloidal', 'bhdisk', 'uniform']] | [-0.093085049322466, -0.0343114592654344, -0.09193231947182749, 0.06500824996216509, -0.039317215765969686, -0.09146882402441966, 0.0026723727865968472, 0.3489563054978274, -0.17298253492761154, -0.3028481370218707, 0.10778387211254224, -0.23021905792232317, -0.11837190199338903, 0.24005885398946702, -0.0452160319680563, 0.13083777784105713, 0.05038535388974616, 0.001168298006702501, -0.09315438336824837, -0.2342391534206959, 0.31933902037921, 0.0807752433555344, 0.3086855926353914, 0.01714711754511182, 0.11087325947860685, -0.06968328351369844, -0.07056522215358339, 0.07404126160634825, -0.18105963184363924, 0.10741672268620907, 0.17909178465533143, 0.14307985949562863, 0.2623593782728466, -0.44925876883252597, -0.2223185663102553, 0.04499802514552497, 0.16790339312193772, 0.11829143853929754, -0.08207930750079238, -0.2886126075083247, 0.08659600847526096, -0.17552570863447797, -0.15379234802765915, -0.12162284564468652, -0.032992291915714025, 0.08732774437969336, -0.21760728849151817, 0.036452408029267996, 0.06367627524126035, 0.04446411211015052, -0.08685403644519213, -0.13236455112033021, 0.013413642698791452, 0.08521488294578515, 0.0952617205106295, -0.03339259702345142, 0.08713227362694362, -0.12008498154598503, -0.1508888480378888, 0.39180906069500804, -0.010212780665964462, -0.24152857307881975, 0.2008375642404784, -0.14389085004894206, -0.10506380930466828, 0.12979890308186162, 0.17841123262321792, 0.17248351717045388, -0.14396323753485027, 0.1102327493919382, -0.03378038736991584, 0.12189906612715837, 0.0638160490959238, -0.003220983297349169, 0.16266404147833013, 0.15837939295810288, 0.021295717270382177, 0.15549599424076194, -0.06891485929848457, -0.13192679632741672, -0.28548739575154075, -0.1029886293310063, -0.1497678792450013, 0.03018764024063085, -0.09461305924868121, -0.2097207987591481, 0.4195138532310151, 0.18389872864533502, 0.09681205559844294, 0.010480567002489876, 0.3107330877660738, 0.12149447599837843, -0.006499286727585758, 0.11189192224096936, 0.3339005507161626, 0.15829899668684588, 0.12449105122896771, -0.24211429510726773, 0.038341676068599694, 0.10175385615394379] |
1,802.00816 | Maximally Rotating Supermassive Stars at the Onset of Collapse: The
Perturbative Effects of Gas Pressure, Magnetic Fields, Dark Matter and Dark
Energy | The discovery of quasars at increasingly large cosmological redshifts may
favor "direct collapse" as the most promising evolutionary route to the
formation of supermassive black holes. In this scenario, supermassive black
holes form when their progenitors - supermassive stars - become unstable to
gravitational collapse. For uniformly rotating stars supported by pure
radiation pressure and spinning at the mass-shedding limit, the critical
configuration at the onset of collapse is characterized by universal values of
the dimensionless spin and radius parameters $J/M^2$ and $R/M$, independent of
mass $M$. We consider perturbative effects of gas pressure, magnetic fields,
dark matter and dark energy on these parameters, and thereby determine the
domain of validity of this universality. We obtain leading-order corrections
for the critical parameters and establish their scaling with the relevant
physical parameters. We compare two different approaches to approximate the
effects of gas pressure, which plays the most important role, find identical
results for the above dimensionless parameters, and also find good agreement
with recent numerical results.
| gr-qc astro-ph.CO astro-ph.HE | the discovery of quasars at increasingly large cosmological redshifts may favor direct collapse as the most promising evolutionary route to the formation of supermassive black holes in this scenario supermassive black holes form when their progenitors supermassive stars become unstable to gravitational collapse for uniformly rotating stars supported by pure radiation pressure and spinning at the massshedding limit the critical configuration at the onset of collapse is characterized by universal values of the dimensionless spin and radius parameters jm2 and rm independent of mass m we consider perturbative effects of gas pressure magnetic fields dark matter and dark energy on these parameters and thereby determine the domain of validity of this universality we obtain leadingorder corrections for the critical parameters and establish their scaling with the relevant physical parameters we compare two different approaches to approximate the effects of gas pressure which plays the most important role find identical results for the above dimensionless parameters and also find good agreement with recent numerical results | [['the', 'discovery', 'of', 'quasars', 'at', 'increasingly', 'large', 'cosmological', 'redshifts', 'may', 'favor', 'direct', 'collapse', 'as', 'the', 'most', 'promising', 'evolutionary', 'route', 'to', 'the', 'formation', 'of', 'supermassive', 'black', 'holes', 'in', 'this', 'scenario', 'supermassive', 'black', 'holes', 'form', 'when', 'their', 'progenitors', 'supermassive', 'stars', 'become', 'unstable', 'to', 'gravitational', 'collapse', 'for', 'uniformly', 'rotating', 'stars', 'supported', 'by', 'pure', 'radiation', 'pressure', 'and', 'spinning', 'at', 'the', 'massshedding', 'limit', 'the', 'critical', 'configuration', 'at', 'the', 'onset', 'of', 'collapse', 'is', 'characterized', 'by', 'universal', 'values', 'of', 'the', 'dimensionless', 'spin', 'and', 'radius', 'parameters', 'jm2', 'and', 'rm', 'independent', 'of', 'mass', 'm', 'we', 'consider', 'perturbative', 'effects', 'of', 'gas', 'pressure', 'magnetic', 'fields', 'dark', 'matter', 'and', 'dark', 'energy', 'on', 'these', 'parameters', 'and', 'thereby', 'determine', 'the', 'domain', 'of', 'validity', 'of', 'this', 'universality', 'we', 'obtain', 'leadingorder', 'corrections', 'for', 'the', 'critical', 'parameters', 'and', 'establish', 'their', 'scaling', 'with', 'the', 'relevant', 'physical', 'parameters', 'we', 'compare', 'two', 'different', 'approaches', 'to', 'approximate', 'the', 'effects', 'of', 'gas', 'pressure', 'which', 'plays', 'the', 'most', 'important', 'role', 'find', 'identical', 'results', 'for', 'the', 'above', 'dimensionless', 'parameters', 'and', 'also', 'find', 'good', 'agreement', 'with', 'recent', 'numerical', 'results']] | [-0.13571579535576947, 0.16600440413600243, -0.03188869350649439, 0.11063730393333372, -0.07459321267698414, -0.09192668476778014, 0.0448048425023444, 0.29365508973303184, -0.15837906049308936, -0.3361514202977826, 0.059251136625634235, -0.26983601574377136, -0.033533441936370076, 0.22094449086722395, 0.052512989490202104, 0.05324570709499091, 0.01278848616866304, -0.013083695439712667, -0.08097537112899306, -0.22251359837643644, 0.38323011744494845, 0.10394198511636293, 0.21952603646077035, 0.023176226134570998, 0.06209637111098301, -0.053598810822089636, -0.010122620273472332, -0.00034994825652641496, -0.24288175193303288, 0.00899168381342528, 0.2262013872862487, 0.06812965072205726, 0.22402667719018987, -0.4010263233127572, -0.2234760240492661, 0.09048456893438792, 0.17462418995593199, 0.12102948415175467, -0.09826462686085995, -0.24532307515761292, 0.08179299269445105, -0.18630325114752008, -0.190668763655306, -0.047972686821594834, 0.07874515443392915, 0.03116351103682707, -0.26228262978696787, 0.1574701695848844, 0.022147063260313078, -0.042493559283817685, -0.11339769235857558, -0.10771794361346287, -0.058298901149367054, 0.10310665547025032, 0.12399663658111311, 0.04059720512979278, 0.22608447658528416, -0.16053280675295378, -0.05058539411757232, 0.39845101621070106, -0.04662365831786812, -0.10313620354565678, 0.21356804896623077, -0.20401951733681306, -0.13771663864552067, 0.1032715622568503, 0.15307210391904114, 0.13423722084021059, -0.1053828616650873, 0.03868187729463765, 0.03052030784211394, 0.16762293820984933, 0.07859394793887055, 0.06765348693634002, 0.397980346327375, 0.15216716748474893, -0.011484156652330988, 0.08167512291295613, -0.0884110351567293, -0.09089650388341397, -0.28095727845481255, -0.10637980743265915, -0.13613022609028919, 0.07337019464182781, -0.20139562497162133, -0.14438166083745296, 0.3003360449560782, 0.15151194025685716, 0.20707594252634431, 0.03651650601546507, 0.2682986735480659, 0.08699875458522711, 0.035908853214961, 0.10429666765181847, 0.35790946132009394, 0.16836526006653268, 0.08588184600713004, -0.2704168096718537, 0.029677683305103196, 0.040158407722895105] |
1,802.00817 | Gravitational Lensing of a star by a rotating black hole | The gravitational lensing of a finite star moving around a rotating Kerr
black hole has been numerically calculated. Calculations for the direct image
of the star and for the first and second light echoes have been performed for
the star moving with an orbital period of 3.22 h around the supermassive black
hole SgrA* at the Galactic Center. Time dependences for the observed star
position on the celestial sphere, radiation flux from the star, frequency of
detected radiation, major and minor semiaxes of the lensed star image have been
calculated and plotted. The detailed observation of such lensing requires a
space interferometer such as the Russian Millimetron project.
| astro-ph.HE gr-qc | the gravitational lensing of a finite star moving around a rotating kerr black hole has been numerically calculated calculations for the direct image of the star and for the first and second light echoes have been performed for the star moving with an orbital period of 322 h around the supermassive black hole sgra at the galactic center time dependences for the observed star position on the celestial sphere radiation flux from the star frequency of detected radiation major and minor semiaxes of the lensed star image have been calculated and plotted the detailed observation of such lensing requires a space interferometer such as the russian millimetron project | [['the', 'gravitational', 'lensing', 'of', 'a', 'finite', 'star', 'moving', 'around', 'a', 'rotating', 'kerr', 'black', 'hole', 'has', 'been', 'numerically', 'calculated', 'calculations', 'for', 'the', 'direct', 'image', 'of', 'the', 'star', 'and', 'for', 'the', 'first', 'and', 'second', 'light', 'echoes', 'have', 'been', 'performed', 'for', 'the', 'star', 'moving', 'with', 'an', 'orbital', 'period', 'of', '322', 'h', 'around', 'the', 'supermassive', 'black', 'hole', 'sgra', 'at', 'the', 'galactic', 'center', 'time', 'dependences', 'for', 'the', 'observed', 'star', 'position', 'on', 'the', 'celestial', 'sphere', 'radiation', 'flux', 'from', 'the', 'star', 'frequency', 'of', 'detected', 'radiation', 'major', 'and', 'minor', 'semiaxes', 'of', 'the', 'lensed', 'star', 'image', 'have', 'been', 'calculated', 'and', 'plotted', 'the', 'detailed', 'observation', 'of', 'such', 'lensing', 'requires', 'a', 'space', 'interferometer', 'such', 'as', 'the', 'russian', 'millimetron', 'project']] | [-0.0968285158569752, 0.06608832039974341, -0.07326339046833003, 0.06406167942892622, -0.11068114812520367, -0.044016774903327505, -0.00699092151814882, 0.3862687051899869, -0.14237881374881706, -0.33465649713589635, 0.08621556990935157, -0.33214002705386114, -0.00028187739371787757, 0.24567629108679723, 0.007811994636776271, 0.05928965014647002, 0.06247920454781571, 0.044902450749995534, -0.06944014760665596, -0.20804789731348003, 0.30608777720502717, 0.11217630356205283, 0.13487830445066923, -0.014857166395005252, 0.12830914332772847, -0.012859711878398364, -0.0724305119723862, -0.0037284298949223876, -0.1465287122970309, -0.013655134593136609, 0.19621197802566545, 0.13962311335274502, 0.20786881487368158, -0.3777783029988684, -0.22003197124771154, 0.04590552800800651, 0.15877673910991116, 0.08939351095317828, -0.14891630376331266, -0.32328294265877316, 0.038962900375567926, -0.20250651664186822, -0.15342787646309095, 0.06839006789097632, 0.11474307379426642, 0.022242369759758865, -0.17579966458422994, 0.08747920171676755, 0.04130131276151924, 0.05297362022429297, -0.11762352746100752, -0.060027528674928124, -0.09209412704135671, 0.11968408611654821, 0.061145267742513505, 0.13241464562317426, 0.1881360317670947, -0.06697389130756536, -0.08297699526021327, 0.44270951903632116, -0.070734361824752, -0.044257175375672954, 0.13272635144137354, -0.290439936366898, -0.15351959623620604, 0.14920912312205742, 0.17606879513348556, 0.18308905129864192, -0.13054156088145208, 0.014972204719756351, 0.011611988047931206, 0.1805916222165925, 0.16054417988009476, 0.03368436576177677, 0.42837224822249953, 0.12999609838826237, 0.006892939078776787, 0.12229927304131841, -0.2858623764024944, -0.047070849234134786, -0.22254927778461328, -0.09022876875382348, -0.20354139152914286, 0.06831094315836068, -0.14167250485695182, -0.12142864206409151, 0.34470808269300807, 0.008164927436694227, 0.15256922802439443, -0.02268344808706186, 0.28369077564976003, 0.09091342369922334, 0.06734864825678717, 0.07864133640261436, 0.3860747845481253, 0.16295227805083548, 0.12225207990397596, -0.2952581867664574, -0.00011641648166847449, 0.02867022593057266] |
1,802.00818 | Interacting Floquet topological phases in three dimensions | In two dimensions, interacting Floquet topological phases may arise even in
the absence of any protecting symmetry, exhibiting chiral edge transport that
is robust to local perturbations. We explore a similar class of Floquet
topological phases in three dimensions, with translational invariance but no
other symmetry, which also exhibit anomalous transport at a boundary surface.
By studying the space of local 2D unitary operators, we show that the boundary
behavior of such phases falls into equivalence classes, each characterized by
an infinite set of reciprocal lattice vectors. In turn, this provides a
classification of the 3D bulk, which we argue is complete. We demonstrate that
such phases may be generated by exactly-solvable `exchange drives' in the bulk.
In the process, we show that the edge behavior of a general exchange drive in
two or three dimensions can be deduced from the geometric properties of its
action in the bulk, a form of bulk-boundary correspondence.
| cond-mat.str-el | in two dimensions interacting floquet topological phases may arise even in the absence of any protecting symmetry exhibiting chiral edge transport that is robust to local perturbations we explore a similar class of floquet topological phases in three dimensions with translational invariance but no other symmetry which also exhibit anomalous transport at a boundary surface by studying the space of local 2d unitary operators we show that the boundary behavior of such phases falls into equivalence classes each characterized by an infinite set of reciprocal lattice vectors in turn this provides a classification of the 3d bulk which we argue is complete we demonstrate that such phases may be generated by exactlysolvable exchange drives in the bulk in the process we show that the edge behavior of a general exchange drive in two or three dimensions can be deduced from the geometric properties of its action in the bulk a form of bulkboundary correspondence | [['in', 'two', 'dimensions', 'interacting', 'floquet', 'topological', 'phases', 'may', 'arise', 'even', 'in', 'the', 'absence', 'of', 'any', 'protecting', 'symmetry', 'exhibiting', 'chiral', 'edge', 'transport', 'that', 'is', 'robust', 'to', 'local', 'perturbations', 'we', 'explore', 'a', 'similar', 'class', 'of', 'floquet', 'topological', 'phases', 'in', 'three', 'dimensions', 'with', 'translational', 'invariance', 'but', 'no', 'other', 'symmetry', 'which', 'also', 'exhibit', 'anomalous', 'transport', 'at', 'a', 'boundary', 'surface', 'by', 'studying', 'the', 'space', 'of', 'local', '2d', 'unitary', 'operators', 'we', 'show', 'that', 'the', 'boundary', 'behavior', 'of', 'such', 'phases', 'falls', 'into', 'equivalence', 'classes', 'each', 'characterized', 'by', 'an', 'infinite', 'set', 'of', 'reciprocal', 'lattice', 'vectors', 'in', 'turn', 'this', 'provides', 'a', 'classification', 'of', 'the', '3d', 'bulk', 'which', 'we', 'argue', 'is', 'complete', 'we', 'demonstrate', 'that', 'such', 'phases', 'may', 'be', 'generated', 'by', 'exactlysolvable', 'exchange', 'drives', 'in', 'the', 'bulk', 'in', 'the', 'process', 'we', 'show', 'that', 'the', 'edge', 'behavior', 'of', 'a', 'general', 'exchange', 'drive', 'in', 'two', 'or', 'three', 'dimensions', 'can', 'be', 'deduced', 'from', 'the', 'geometric', 'properties', 'of', 'its', 'action', 'in', 'the', 'bulk', 'a', 'form', 'of', 'bulkboundary', 'correspondence']] | [-0.21154987109165832, 0.22316954524474378, -0.09973702734856346, 0.026883531855886544, -0.03594924481470341, -0.1353107550239656, 0.013684325178710188, 0.3480284900537559, -0.2977562929298003, -0.25587449671531265, 0.08287096552266558, -0.2651050477001405, -0.19786582035980152, 0.13722120971545915, -0.016047817149937346, 0.011341526596005643, -0.009854213203085804, 0.021990751871814977, -0.13116055912362387, -0.19881181649307345, 0.34246869782264067, -0.0817866272296055, 0.30408649021523776, 0.033940264502352754, 0.044679445474614186, -0.002335853461938148, 0.03407559672358458, 0.07147972318404294, -0.0925432529745324, 0.09735357313259661, 0.22360638414489561, 0.005080359111019931, 0.1726533091270256, -0.45294307767377273, -0.24770375233606207, 0.0929041850280815, 0.13369137860907168, 0.13082294543946538, -0.06651686421631799, -0.29393993357994724, 0.08011286165686203, -0.15209685582304736, -0.15868977231711343, -0.1116166234412533, -0.003607420782957758, -0.061150563696350954, -0.24879176616094184, 0.08340421254355793, 0.10178530996502075, 0.07448338029011116, -0.08573545392091664, -0.02833961368487035, -0.09256204673203991, 0.1439642403562033, 0.043072061906319244, -0.02201622341572029, 0.09574347026132096, -0.16892677686908947, -0.14606430453199942, 0.39963869750499725, -0.04876616430867996, -0.19644088227326026, 0.24169245314808538, -0.1598500054901883, -0.14125606289145526, 0.11667278790906943, 0.12434724834445235, 0.07370271406577925, -0.1279777752501246, 0.10489829611743788, -0.06329802972077114, 0.11709682542948632, 0.03915845967417994, 0.07494039170620903, 0.24562919720275594, 0.11674456425047443, 0.08897524142589469, 0.1865095219944525, -0.04346494719555432, -0.09797467079690912, -0.3090613738863499, -0.18981413979252632, -0.20151134100500737, 0.07448257018310055, -0.09993300778041413, -0.180310494647446, 0.43912453803251944, 0.14478081711356275, 0.23209397914190474, -0.010745659810732808, 0.20924093955281106, 0.13098034152072058, 0.07214900280739024, 0.07553344621177908, 0.24266712996479753, 0.060783489699499656, 0.01288310471656067, -0.23301064617804845, 0.020695432193589384, 0.11265723788868878] |
1,802.00819 | Controllable Non-Markovianity for a Spin Qubit in Diamond | We present a flexible scheme to realize non-artificial non-Markovian dynamics
of an electronic spin qubit, using a nitrogen-vacancy center in diamond where
the inherent nitrogen spin serves as a regulator of the dynamics. By changing
the population of the nitrogen spin, we show that we can smoothly tune the
non-Markovianity of the electron spin's dynamic. Furthermore, we examine the
decoherence dynamics induced by the spin bath to exclude other sources of
non-Markovianity. The amount of collected measurement data is kept at a minimum
by employing Bayesian data analysis. This allows for a precise quantification
of the parameters involved in the description of the dynamics and a prediction
of so far unobserved data points.
| quant-ph | we present a flexible scheme to realize nonartificial nonmarkovian dynamics of an electronic spin qubit using a nitrogenvacancy center in diamond where the inherent nitrogen spin serves as a regulator of the dynamics by changing the population of the nitrogen spin we show that we can smoothly tune the nonmarkovianity of the electron spins dynamic furthermore we examine the decoherence dynamics induced by the spin bath to exclude other sources of nonmarkovianity the amount of collected measurement data is kept at a minimum by employing bayesian data analysis this allows for a precise quantification of the parameters involved in the description of the dynamics and a prediction of so far unobserved data points | [['we', 'present', 'a', 'flexible', 'scheme', 'to', 'realize', 'nonartificial', 'nonmarkovian', 'dynamics', 'of', 'an', 'electronic', 'spin', 'qubit', 'using', 'a', 'nitrogenvacancy', 'center', 'in', 'diamond', 'where', 'the', 'inherent', 'nitrogen', 'spin', 'serves', 'as', 'a', 'regulator', 'of', 'the', 'dynamics', 'by', 'changing', 'the', 'population', 'of', 'the', 'nitrogen', 'spin', 'we', 'show', 'that', 'we', 'can', 'smoothly', 'tune', 'the', 'nonmarkovianity', 'of', 'the', 'electron', 'spins', 'dynamic', 'furthermore', 'we', 'examine', 'the', 'decoherence', 'dynamics', 'induced', 'by', 'the', 'spin', 'bath', 'to', 'exclude', 'other', 'sources', 'of', 'nonmarkovianity', 'the', 'amount', 'of', 'collected', 'measurement', 'data', 'is', 'kept', 'at', 'a', 'minimum', 'by', 'employing', 'bayesian', 'data', 'analysis', 'this', 'allows', 'for', 'a', 'precise', 'quantification', 'of', 'the', 'parameters', 'involved', 'in', 'the', 'description', 'of', 'the', 'dynamics', 'and', 'a', 'prediction', 'of', 'so', 'far', 'unobserved', 'data', 'points']] | [-0.12680517082654796, 0.16626003935257802, -0.0637818122410372, 0.04497999119349813, -0.008946755311690865, -0.13395542333281674, 0.10062533313515637, 0.37685455288531966, -0.2701735728774714, -0.30506494206961543, 0.04770467857484071, -0.28481036667164467, -0.06209970464666201, 0.1759229648685231, -0.02064170370257534, 0.031574472496533286, 0.057192782620050474, 0.020275450027259313, -0.06100388851832697, -0.16382176194966366, 0.28689010860797626, 0.07779292690575915, 0.26822049773207546, 0.05105326186239192, 0.15335984466972438, 0.049199529766904566, 0.023977498499165594, -0.016038460063591466, -0.13599464318034316, 0.11313396569267245, 0.25737914546424795, 0.07590730737202463, 0.2530808128185768, -0.43028980917173676, -0.2229865969434809, 0.09310501326489534, 0.12094755961139382, 0.20757174503832923, -0.048943748634794844, -0.290725944184624, -0.005037242101620784, -0.1728277956011944, -0.15556148169314968, -0.09750528780298423, -0.0097127551912429, -0.03505427794184832, -0.25591309490588915, 0.07524408829456146, 0.04569141354939315, 0.07341640341235736, -0.023304539635278846, -0.03468541073225505, -0.044830922482419856, 0.1311350488778723, -0.011878546518974204, 0.0022911314638249113, 0.22649257315273305, -0.09583095487297834, -0.14588773334646118, 0.3296765974285988, -0.09322366673927919, -0.18804290893166203, 0.15770189646596453, -0.15155153232214527, -0.11705128303152072, 0.09669197628900936, 0.14687797179923648, 0.1025714637563292, -0.2177363240275433, 0.05882577113838108, -0.00862824477552049, 0.1983292905255262, -0.0014389210331163047, 0.08419473904011919, 0.2010105171207899, 0.2130104368191987, 0.07295845967791645, 0.1829989398999626, -0.14137774417424095, -0.10354715875819721, -0.24033498254695299, -0.12914428246347645, -0.21095048546362505, 0.10391875245274597, -0.08135093448967447, -0.11014165727996507, 0.4282660123726198, 0.17121969297346948, 0.2039405986402942, -0.039946023082212276, 0.2751461708242387, 0.08739059337567275, 0.06729464398581633, 0.03937155209003692, 0.22288923422121895, 0.1456808033831978, 0.05529182232850421, -0.3472505091211503, 0.08206888044714532, -0.034713984615441444] |
1,802.0082 | Least squares estimation for path-distribution dependent stochastic
differential equations | We study a least squares estimator for an unknown parameter in the drift
coefficient of a path- distribution dependent stochastic differential equation
involving a small dispersion parameter epsilon greater than zero. The
estimator, based on n discrete time observations of the stochastic differential
equation, is shown to be convergent weakly to the true value as epsilon goes to
zero and n goes to infinity. This indicates that the least squares estimator
obtained is consistent with the true value. Moreover, we obtain the rate of
convergence and derive the asymptotic distribution of least squares estimator.
| math.PR | we study a least squares estimator for an unknown parameter in the drift coefficient of a path distribution dependent stochastic differential equation involving a small dispersion parameter epsilon greater than zero the estimator based on n discrete time observations of the stochastic differential equation is shown to be convergent weakly to the true value as epsilon goes to zero and n goes to infinity this indicates that the least squares estimator obtained is consistent with the true value moreover we obtain the rate of convergence and derive the asymptotic distribution of least squares estimator | [['we', 'study', 'a', 'least', 'squares', 'estimator', 'for', 'an', 'unknown', 'parameter', 'in', 'the', 'drift', 'coefficient', 'of', 'a', 'path', 'distribution', 'dependent', 'stochastic', 'differential', 'equation', 'involving', 'a', 'small', 'dispersion', 'parameter', 'epsilon', 'greater', 'than', 'zero', 'the', 'estimator', 'based', 'on', 'n', 'discrete', 'time', 'observations', 'of', 'the', 'stochastic', 'differential', 'equation', 'is', 'shown', 'to', 'be', 'convergent', 'weakly', 'to', 'the', 'true', 'value', 'as', 'epsilon', 'goes', 'to', 'zero', 'and', 'n', 'goes', 'to', 'infinity', 'this', 'indicates', 'that', 'the', 'least', 'squares', 'estimator', 'obtained', 'is', 'consistent', 'with', 'the', 'true', 'value', 'moreover', 'we', 'obtain', 'the', 'rate', 'of', 'convergence', 'and', 'derive', 'the', 'asymptotic', 'distribution', 'of', 'least', 'squares', 'estimator']] | [-0.13254405779917625, 0.07027834908621251, -0.12965232189348402, 0.08422713507427537, -0.08719574132973844, -0.18818245191087432, 0.03692869999677567, 0.3078712256863079, -0.28558276526065185, -0.26192880867722823, 0.15012543768240535, -0.31908168822051364, -0.1133898555231776, 0.14154408689083017, -0.05722643008970834, 0.09954672613914342, 0.029689627853123114, 0.0723425326670738, -0.07198296636689772, -0.2854716810298727, 0.2625114385860952, 0.04965994849880325, 0.2188104704577238, -0.05620284520208518, 0.19878800116551226, 0.004048449145828156, -0.011434551536482065, 0.03732561734207767, -0.18737673500165444, 0.054962866062773987, 0.19959922983965023, 0.08047003887019101, 0.3508574001768485, -0.3175457341675746, -0.1598447391049976, 0.1297079612936904, 0.18217535788735792, 0.0568899310570448, 0.04434371671510583, -0.19502863475181004, 0.10373071489974539, -0.12193169138156512, -0.21708904984010818, -0.02355641275247995, -0.0034099202008640514, 0.024908102253709544, -0.37382202656899993, 0.14202300563177211, 0.043368150281937835, 0.017807008817474893, -0.034888205177923466, -0.2076986649747383, 0.007545194202201798, 0.04446540681206859, 0.12950089924592287, 0.01506210007813779, 0.05749912015063331, -0.08592476269002369, -0.04726425969497638, 0.2689209980890155, -0.15361923167430622, -0.23228871185292907, 0.10993657748839085, -0.22369217896398078, -0.07741502330370961, 0.17094508641736306, 0.16492191461370664, 0.18458559677163336, -0.1410603149734596, 0.08596381185293951, -0.039136953379443666, 0.19333791506892822, 0.038747729270401945, -0.010287974386456166, 0.0707483550189515, 0.1397410166385445, 0.19867209126637814, 0.1053816483026628, -0.10096386846704805, -0.10221930965781212, -0.33851462125064846, -0.16447563369342305, -0.23426815528581116, 0.07685620928470521, -0.18013885132243926, -0.2105285673835092, 0.3026197715563343, 0.14633549929675746, 0.2408865793964806, 0.14704651642154823, 0.27177356520390256, 0.2545035025402111, -0.010293375562004586, 0.10534490471299579, 0.20826980386900298, 0.18770849792920846, 0.006432279939466017, -0.23942633115864814, 0.11643394108235024, 0.09000091442957203] |
1,802.00821 | Review: Long-baseline oscillation experiments as a tool to probe High
Energy Models | We review the current status of neutrino oscillation experiments, mainly
focussed on T2(H)K, NO$\nu$A and DUNE. Their capability to probe high energy
physics is found in the precision measurement of the CP phase and
$\theta_{23}$. In general, neutrino mass models predicts correlations among the
mixing angles that can be used to scan and shrink down its parameter space. We
updated previous analysis and presents a list of models that contain such
structure.
| hep-ph | we review the current status of neutrino oscillation experiments mainly focussed on t2hk nonua and dune their capability to probe high energy physics is found in the precision measurement of the cp phase and theta_23 in general neutrino mass models predicts correlations among the mixing angles that can be used to scan and shrink down its parameter space we updated previous analysis and presents a list of models that contain such structure | [['we', 'review', 'the', 'current', 'status', 'of', 'neutrino', 'oscillation', 'experiments', 'mainly', 'focussed', 'on', 't2hk', 'nonua', 'and', 'dune', 'their', 'capability', 'to', 'probe', 'high', 'energy', 'physics', 'is', 'found', 'in', 'the', 'precision', 'measurement', 'of', 'the', 'cp', 'phase', 'and', 'theta_23', 'in', 'general', 'neutrino', 'mass', 'models', 'predicts', 'correlations', 'among', 'the', 'mixing', 'angles', 'that', 'can', 'be', 'used', 'to', 'scan', 'and', 'shrink', 'down', 'its', 'parameter', 'space', 'we', 'updated', 'previous', 'analysis', 'and', 'presents', 'a', 'list', 'of', 'models', 'that', 'contain', 'such', 'structure']] | [-0.09781232047438, 0.22235914609498447, -0.029672164644580334, 0.12736295727113933, -0.09109082166105509, -0.12785607448313385, 0.0844820128275185, 0.3387600942514837, -0.2510223508967708, -0.3654962678750356, 0.10222172826049952, -0.2910736580185282, -0.059758566264968574, 0.18698741128254268, 0.003672941904773729, 0.06567828392710201, 0.10153129930000028, -0.03177434063076766, -0.14123465003730315, -0.19866070643830527, 0.25506215180373853, 0.1325890731208751, 0.2530092940723989, 0.06288221706118849, 0.06957893463711823, -0.052088442313510716, -0.0964539961100349, -0.030725882874119433, -0.1673933853560609, 0.0153027850901708, 0.2244769533520715, 0.18766466756157266, 0.11550037407950084, -0.37403976174795794, -0.1669162742877638, 0.16235956389250028, 0.1402698121221167, 0.09604475717383644, -0.06536570853172129, -0.2928256901795976, 0.0015785596074743404, -0.1788480095305608, -0.13611044688150287, -0.10759891199025635, -0.05595245949613551, -0.019411297823858656, -0.2641363104768162, 0.09348714069346897, -0.022823508912956134, 0.022758351554835424, 0.0063479690692879055, -0.18991737860455438, -0.02031201000014941, 0.09710374219381872, 0.10445160098930097, 0.023233839207225375, 0.10033654806385231, -0.14121498118361664, -0.08103543689422724, 0.38651668634783065, -0.06983820963553929, -0.16093286986223473, 0.14400581856413433, -0.2218793684927126, -0.1430128159829312, 0.08501377153313822, 0.2138663778702418, 0.05112864358428245, -0.11273825798950081, 0.08769978691189964, -0.03141786797722387, 0.1974540068509264, 0.025128745580635343, 0.022019340064111423, 0.28656058114332456, 0.274635419754001, 0.09455233394530499, -0.03933059160448869, -0.1644815439875755, -0.04365807589298735, -0.3073361122191677, -0.08478520977466057, -0.08012172387680039, 0.005837884435701805, -0.0172733205504806, -0.09290171910025594, 0.4737409788972905, 0.2119619243571328, 0.19564083015494463, -0.006540859046961284, 0.2915262347087264, 0.0021255577901481753, 0.07493026658792384, -0.015189084528376244, 0.343190414365381, 0.10898863860509461, 0.1525340241755152, -0.2605053841511512, 0.0865440502918015, 0.031062061914579116] |
1,802.00822 | VIBNN: Hardware Acceleration of Bayesian Neural Networks | Bayesian Neural Networks (BNNs) have been proposed to address the problem of
model uncertainty in training and inference. By introducing weights associated
with conditioned probability distributions, BNNs are capable of resolving the
overfitting issue commonly seen in conventional neural networks and allow for
small-data training, through the variational inference process. Frequent usage
of Gaussian random variables in this process requires a properly optimized
Gaussian Random Number Generator (GRNG). The high hardware cost of conventional
GRNG makes the hardware implementation of BNNs challenging.
In this paper, we propose VIBNN, an FPGA-based hardware accelerator design
for variational inference on BNNs. We explore the design space for massive
amount of Gaussian variable sampling tasks in BNNs. Specifically, we introduce
two high performance Gaussian (pseudo) random number generators: the RAM-based
Linear Feedback Gaussian Random Number Generator (RLF-GRNG), which is inspired
by the properties of binomial distribution and linear feedback logics; and the
Bayesian Neural Network-oriented Wallace Gaussian Random Number Generator. To
achieve high scalability and efficient memory access, we propose a deep
pipelined accelerator architecture with fast execution and good hardware
utilization. Experimental results demonstrate that the proposed VIBNN
implementations on an FPGA can achieve throughput of 321,543.4 Images/s and
energy efficiency upto 52,694.8 Images/J while maintaining similar accuracy as
its software counterpart.
| cs.LG cs.AR stat.ML | bayesian neural networks bnns have been proposed to address the problem of model uncertainty in training and inference by introducing weights associated with conditioned probability distributions bnns are capable of resolving the overfitting issue commonly seen in conventional neural networks and allow for smalldata training through the variational inference process frequent usage of gaussian random variables in this process requires a properly optimized gaussian random number generator grng the high hardware cost of conventional grng makes the hardware implementation of bnns challenging in this paper we propose vibnn an fpgabased hardware accelerator design for variational inference on bnns we explore the design space for massive amount of gaussian variable sampling tasks in bnns specifically we introduce two high performance gaussian pseudo random number generators the rambased linear feedback gaussian random number generator rlfgrng which is inspired by the properties of binomial distribution and linear feedback logics and the bayesian neural networkoriented wallace gaussian random number generator to achieve high scalability and efficient memory access we propose a deep pipelined accelerator architecture with fast execution and good hardware utilization experimental results demonstrate that the proposed vibnn implementations on an fpga can achieve throughput of 3215434 imagess and energy efficiency upto 526948 imagesj while maintaining similar accuracy as its software counterpart | [['bayesian', 'neural', 'networks', 'bnns', 'have', 'been', 'proposed', 'to', 'address', 'the', 'problem', 'of', 'model', 'uncertainty', 'in', 'training', 'and', 'inference', 'by', 'introducing', 'weights', 'associated', 'with', 'conditioned', 'probability', 'distributions', 'bnns', 'are', 'capable', 'of', 'resolving', 'the', 'overfitting', 'issue', 'commonly', 'seen', 'in', 'conventional', 'neural', 'networks', 'and', 'allow', 'for', 'smalldata', 'training', 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1,802.00823 | Asymptotic single-particle states and exact Lorentz-violating all-loop
quantum corrections for scalar field theory | We perform the all-loop renormalization of the O($N$) $\lambda\phi^{4}$
scalar field theory with Lorentz violation which is exact in the
Lorentz-violating $K_{\mu\nu}$ coefficients. This task is fulfilled
analytically firstly explicitly at next-to-leading order and later at all loop
levels through an induction process based on a general theorem emerging from
the exact approach. We show that the exact results reduce to the approximated
ones, previously obtained, in the appropriated limit and comment on their
implications. The current exact calculation involving such a symmetry breaking
mechanism in the referred theory is the first one in literature for our
knowledge. At the end, we analyze the effect of Lorentz violation on the
asymptotic single-particle states.
| hep-th math-ph math.MP | we perform the allloop renormalization of the on lambdaphi4 scalar field theory with lorentz violation which is exact in the lorentzviolating k_munu coefficients this task is fulfilled analytically firstly explicitly at nexttoleading order and later at all loop levels through an induction process based on a general theorem emerging from the exact approach we show that the exact results reduce to the approximated ones previously obtained in the appropriated limit and comment on their implications the current exact calculation involving such a symmetry breaking mechanism in the referred theory is the first one in literature for our knowledge at the end we analyze the effect of lorentz violation on the asymptotic singleparticle states | [['we', 'perform', 'the', 'allloop', 'renormalization', 'of', 'the', 'on', 'lambdaphi4', 'scalar', 'field', 'theory', 'with', 'lorentz', 'violation', 'which', 'is', 'exact', 'in', 'the', 'lorentzviolating', 'k_munu', 'coefficients', 'this', 'task', 'is', 'fulfilled', 'analytically', 'firstly', 'explicitly', 'at', 'nexttoleading', 'order', 'and', 'later', 'at', 'all', 'loop', 'levels', 'through', 'an', 'induction', 'process', 'based', 'on', 'a', 'general', 'theorem', 'emerging', 'from', 'the', 'exact', 'approach', 'we', 'show', 'that', 'the', 'exact', 'results', 'reduce', 'to', 'the', 'approximated', 'ones', 'previously', 'obtained', 'in', 'the', 'appropriated', 'limit', 'and', 'comment', 'on', 'their', 'implications', 'the', 'current', 'exact', 'calculation', 'involving', 'such', 'a', 'symmetry', 'breaking', 'mechanism', 'in', 'the', 'referred', 'theory', 'is', 'the', 'first', 'one', 'in', 'literature', 'for', 'our', 'knowledge', 'at', 'the', 'end', 'we', 'analyze', 'the', 'effect', 'of', 'lorentz', 'violation', 'on', 'the', 'asymptotic', 'singleparticle', 'states']] | [-0.11231288737081717, 0.10296129129646218, -0.09192059006937574, 0.10938082573236704, -0.08059022766414338, -0.08645675391519228, 0.06251100909615974, 0.30730048852222686, -0.19116287952107666, -0.2724545073769657, 0.0869750232987963, -0.255796081439048, -0.16583536977393437, 0.16542468277688047, 0.021876814676267384, 0.05589091219007969, -0.010895512888900342, 0.08808440656557812, -0.09269069915480779, -0.2283080975253102, 0.33622380292488147, 0.05577483733258812, 0.3078433340003269, 0.09843516471049855, 0.09399772614685703, 0.006514507810486299, -0.03308754731629011, -0.014492177103637857, -0.13538337734856784, 0.09351356970754131, 0.1968474133739627, 0.0468259858321893, 0.20204423136794858, -0.4569992868608869, -0.17313998893101132, 0.05528573973714251, 0.12612129796494162, 0.1807043067770969, -0.02211650936922009, -0.3005402685200746, 0.06749053112750428, -0.18462760518181376, -0.1622206702234998, -0.08831025173772225, -0.026192841003648937, -0.07949559585463288, -0.27530622684223727, 0.10437316642002722, 0.02380843610560472, 0.030995546930791002, -0.05385946752956813, -0.09027427916551026, 0.02551389651051599, 0.10687580320209397, 0.11626028112610116, 0.0033773354304113745, 0.09539465337633196, -0.14672405199576333, -0.14128619072849624, 0.3723921584113773, -0.07226013533453729, -0.22291626724356836, 0.13034861759216715, -0.14433206181429262, -0.1929849738387012, 0.08611909658246286, 0.1335312104392467, 0.1463722644983667, -0.1384464256069829, 0.159023630604832, -0.036446527458430654, 0.11220894951942022, 0.08012240088289291, 0.02365963332678513, 0.1558124893571588, 0.10440711081398865, 0.021533304829546046, 0.12249298057255162, -0.021478054591710063, -0.12412155003995692, -0.40237999323392865, -0.11693942381802584, -0.17450037531130247, 0.05661415449442523, -0.0922194645506746, -0.11796371439220465, 0.3887426317669451, 0.1811520188049603, 0.16161826412828095, 0.07401296939490676, 0.2965809047362248, 0.19201495372010313, 0.05703343130211321, 0.06463936246484436, 0.29035835200508614, 0.12276609440795681, 0.08507396222660894, -0.27651963071625646, 0.011004175005925704, 0.1392184728159017] |
1,802.00824 | Algorithm-Hardware Co-Optimization of the Memristor-Based Framework for
Solving SOCP and Homogeneous QCQP Problems | A memristor crossbar, which is constructed with memristor devices, has the
unique ability to change and memorize the state of each of its memristor
elements. It also has other highly desirable features such as high density, low
power operation and excellent scalability. Hence the memristor crossbar
technology can potentially be utilized for developing low-complexity and
high-scalability solution frameworks for solving a large class of convex
optimization problems, which involve extensive matrix operations and have
critical applications in multiple disciplines. This paper, as the first attempt
towards this direction, proposes a novel memristor crossbar-based framework for
solving two important convex optimization problems, i.e., second-order cone
programming (SOCP) and homogeneous quadratically constrained quadratic
programming (QCQP) problems. In this paper, the alternating direction method of
multipliers (ADMM) is adopted. It splits the SOCP and homogeneous QCQP problems
into sub-problems that involve the solution of linear systems, which could be
effectively solved using the memristor crossbar in O(1) time complexity. The
proposed algorithm is an iterative procedure that iterates a constant number of
times. Therefore, algorithms to solve SOCP and homogeneous QCQP problems have
pseudo-O(N) complexity, which is a significant reduction compared to the
state-of-the-art software solvers (O(N^3.5) - O(N^4)).
| cs.ET | a memristor crossbar which is constructed with memristor devices has the unique ability to change and memorize the state of each of its memristor elements it also has other highly desirable features such as high density low power operation and excellent scalability hence the memristor crossbar technology can potentially be utilized for developing lowcomplexity and highscalability solution frameworks for solving a large class of convex optimization problems which involve extensive matrix operations and have critical applications in multiple disciplines this paper as the first attempt towards this direction proposes a novel memristor crossbarbased framework for solving two important convex optimization problems ie secondorder cone programming socp and homogeneous quadratically constrained quadratic programming qcqp problems in this paper the alternating direction method of multipliers admm is adopted it splits the socp and homogeneous qcqp problems into subproblems that involve the solution of linear systems which could be effectively solved using the memristor crossbar in o1 time complexity the proposed algorithm is an iterative procedure that iterates a constant number of times therefore algorithms to solve socp and homogeneous qcqp problems have pseudoon complexity which is a significant reduction compared to the stateoftheart software solvers on35 on4 | [['a', 'memristor', 'crossbar', 'which', 'is', 'constructed', 'with', 'memristor', 'devices', 'has', 'the', 'unique', 'ability', 'to', 'change', 'and', 'memorize', 'the', 'state', 'of', 'each', 'of', 'its', 'memristor', 'elements', 'it', 'also', 'has', 'other', 'highly', 'desirable', 'features', 'such', 'as', 'high', 'density', 'low', 'power', 'operation', 'and', 'excellent', 'scalability', 'hence', 'the', 'memristor', 'crossbar', 'technology', 'can', 'potentially', 'be', 'utilized', 'for', 'developing', 'lowcomplexity', 'and', 'highscalability', 'solution', 'frameworks', 'for', 'solving', 'a', 'large', 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1,802.00825 | Analysis of models for viscoelastic wave propagation | We consider the problem of waves propagating in a viscoelastic solid. For the
material properties of the solid we consider both classical and fractional
differentiation in time versions of the Zener, Maxwell, and Voigt models, where
the coupling of different models within the same solid are covered as well.
Stability of each model is investigated in the Laplace domain, and these are
then translated to time-domain estimates. With the use of semigroup theory,
some time-domain results are also given which avoid using the Laplace transform
and give sharper estimates. We take the time to develop and explain the theory
necessary to understand the relation between the equations we solve in the
Laplace domain and those in the time-domain which are written using the
language of causal tempered distributions. Finally we offer some numerical
experiments that highlight some of the differences between the models and how
different parameters effect the results.
| math.NA | we consider the problem of waves propagating in a viscoelastic solid for the material properties of the solid we consider both classical and fractional differentiation in time versions of the zener maxwell and voigt models where the coupling of different models within the same solid are covered as well stability of each model is investigated in the laplace domain and these are then translated to timedomain estimates with the use of semigroup theory some timedomain results are also given which avoid using the laplace transform and give sharper estimates we take the time to develop and explain the theory necessary to understand the relation between the equations we solve in the laplace domain and those in the timedomain which are written using the language of causal tempered distributions finally we offer some numerical experiments that highlight some of the differences between the models and how different parameters effect the results | [['we', 'consider', 'the', 'problem', 'of', 'waves', 'propagating', 'in', 'a', 'viscoelastic', 'solid', 'for', 'the', 'material', 'properties', 'of', 'the', 'solid', 'we', 'consider', 'both', 'classical', 'and', 'fractional', 'differentiation', 'in', 'time', 'versions', 'of', 'the', 'zener', 'maxwell', 'and', 'voigt', 'models', 'where', 'the', 'coupling', 'of', 'different', 'models', 'within', 'the', 'same', 'solid', 'are', 'covered', 'as', 'well', 'stability', 'of', 'each', 'model', 'is', 'investigated', 'in', 'the', 'laplace', 'domain', 'and', 'these', 'are', 'then', 'translated', 'to', 'timedomain', 'estimates', 'with', 'the', 'use', 'of', 'semigroup', 'theory', 'some', 'timedomain', 'results', 'are', 'also', 'given', 'which', 'avoid', 'using', 'the', 'laplace', 'transform', 'and', 'give', 'sharper', 'estimates', 'we', 'take', 'the', 'time', 'to', 'develop', 'and', 'explain', 'the', 'theory', 'necessary', 'to', 'understand', 'the', 'relation', 'between', 'the', 'equations', 'we', 'solve', 'in', 'the', 'laplace', 'domain', 'and', 'those', 'in', 'the', 'timedomain', 'which', 'are', 'written', 'using', 'the', 'language', 'of', 'causal', 'tempered', 'distributions', 'finally', 'we', 'offer', 'some', 'numerical', 'experiments', 'that', 'highlight', 'some', 'of', 'the', 'differences', 'between', 'the', 'models', 'and', 'how', 'different', 'parameters', 'effect', 'the', 'results']] | [-0.06056964386254549, 0.08589841298758984, -0.09690911758380631, 0.0921223167112718, -0.09808290265190105, -0.07903964416123926, 0.012819417584687472, 0.36995200159649055, -0.3005464314296842, -0.2752466665736089, 0.13678839476779103, -0.2624225553420062, -0.16822682378813625, 0.21909152996881553, -0.028171019094685713, 0.05499958208141228, 0.00527301352781554, 0.004355004957566659, -0.10988458584528417, -0.20280198502975205, 0.3216882318786035, -0.007275512400083244, 0.23578243976458907, 0.03567470835832258, 0.0776500986291406, -0.029198232470080257, -0.05543890567185978, 0.014992670752108098, -0.18199794336867248, 0.11347020023347189, 0.23088329724674017, 0.08876723003263275, 0.2593273627075056, -0.5121906592076023, -0.22803337404814858, 0.06903865824763973, 0.09817158845680145, 0.09919706673827022, -0.03981914190730701, -0.2836584620674451, 0.06949381419147055, -0.11830897541949525, -0.10524967273697257, -0.07770136150841912, -0.021647855117917062, 0.07625523974342893, -0.24263906253424164, 0.08505064125153391, 0.06693091339509313, 0.01735413309264307, -0.11856120461598038, -0.11462348962047447, 0.0001107102275515596, 0.1367280850621561, 0.06507850140721226, -0.03161659027449787, 0.04681580593208006, -0.11898240640138587, -0.11102887026034296, 0.4000445035099983, -0.07128065868785294, -0.27207829984797477, 0.18734533106597762, -0.1673132569467028, -0.08543523653099934, 0.05583235150979211, 0.17461602578560512, 0.12677437651902437, -0.13552053654566407, 0.07548357495766443, -0.03088723146667083, 0.13125600860764583, 0.06576659926678985, 0.026748842969536783, 0.15748325638783475, 0.1472571582471331, -0.008838889494848748, 0.15711879725567995, -0.07912236738329133, -0.11575585159162681, -0.3295799894630909, -0.17664323943511892, -0.1542748819043239, -0.02058093237224966, -0.09904275867709657, -0.16505343101608255, 0.39566539419194063, 0.1862822864045544, 0.1757876970929404, 0.06998419252689927, 0.2575765619830539, 0.16811688207633171, 0.0071881128835957495, 0.04708799917871753, 0.22226468895853033, 0.148794648591429, 0.0989435532471786, -0.23100597841044268, 0.030744036842758456, 0.05744504701035718] |
1,802.00826 | Modelling of pulse train generation for resonant laser wakefield
acceleration using a delay mask | A new method for the generation of a train of pulses from a single
high-energy, ultra short pulse is presented, suited for Resonant Multi-Pulse
Ionization injection. The method is based on different transverse portion of
the pulse being delayed by a "mask" sectioned in concentric zones with
different thicknesses, in order to deliver multiple laser pulses. The mask is
placed right before the last focusing parabola. A hole in the middle of the
mask lets part of the original pulse to pass through to drive electron
injection. In this paper a full numerical modelling of this scheme is
presented. In particular we discuss the spatial and temporal profile of the
pulses emerging from the mask and how they are related to the radius and
thickness of each section.
| physics.acc-ph physics.plasm-ph | a new method for the generation of a train of pulses from a single highenergy ultra short pulse is presented suited for resonant multipulse ionization injection the method is based on different transverse portion of the pulse being delayed by a mask sectioned in concentric zones with different thicknesses in order to deliver multiple laser pulses the mask is placed right before the last focusing parabola a hole in the middle of the mask lets part of the original pulse to pass through to drive electron injection in this paper a full numerical modelling of this scheme is presented in particular we discuss the spatial and temporal profile of the pulses emerging from the mask and how they are related to the radius and thickness of each section | [['a', 'new', 'method', 'for', 'the', 'generation', 'of', 'a', 'train', 'of', 'pulses', 'from', 'a', 'single', 'highenergy', 'ultra', 'short', 'pulse', 'is', 'presented', 'suited', 'for', 'resonant', 'multipulse', 'ionization', 'injection', 'the', 'method', 'is', 'based', 'on', 'different', 'transverse', 'portion', 'of', 'the', 'pulse', 'being', 'delayed', 'by', 'a', 'mask', 'sectioned', 'in', 'concentric', 'zones', 'with', 'different', 'thicknesses', 'in', 'order', 'to', 'deliver', 'multiple', 'laser', 'pulses', 'the', 'mask', 'is', 'placed', 'right', 'before', 'the', 'last', 'focusing', 'parabola', 'a', 'hole', 'in', 'the', 'middle', 'of', 'the', 'mask', 'lets', 'part', 'of', 'the', 'original', 'pulse', 'to', 'pass', 'through', 'to', 'drive', 'electron', 'injection', 'in', 'this', 'paper', 'a', 'full', 'numerical', 'modelling', 'of', 'this', 'scheme', 'is', 'presented', 'in', 'particular', 'we', 'discuss', 'the', 'spatial', 'and', 'temporal', 'profile', 'of', 'the', 'pulses', 'emerging', 'from', 'the', 'mask', 'and', 'how', 'they', 'are', 'related', 'to', 'the', 'radius', 'and', 'thickness', 'of', 'each', 'section']] | [-0.09960260547018152, 0.11417941896797856, -0.07681019032315817, 0.03287069136604259, -0.03329107045283308, -0.12440806587255793, 0.024176946930765553, 0.45518553236615844, -0.26604482831317, -0.28872057787521044, 0.08451907849394047, -0.25182949205736804, -0.05351633757163654, 0.24360626726411283, -0.04434208453676547, 0.028108028293445386, 0.03999721541549661, -0.004860383320192341, -0.039218636353325564, -0.1910262783694634, 0.30102567000722047, 0.07897228651472687, 0.2620332740225422, 0.028917803516378626, 0.12092049057810073, 0.04183327977079898, -0.012630398040073487, -0.049557627960894024, -0.09016394729405874, 0.1098405104912672, 0.20913761540077758, 0.06383277824261313, 0.26180249551543966, -0.45286414748989046, -0.21587970523250988, 0.020673726852692198, 0.14425951504745171, 0.12059016705461545, -0.0747057566741205, -0.2654423177737044, 0.077821270368986, -0.15732634807136492, -0.12668651318381308, 0.02991984689651872, 0.0004944480351696257, 0.1059286158561008, -0.2623215438652551, 0.029045568600849947, 0.04988121223868802, -0.0170017345881206, -0.019449072522547795, -0.0163442465600383, -0.013512659500975133, 0.11587105701983091, 0.02796582118025981, 0.025440074685320724, 0.13221151814605037, -0.11447510257858085, -0.06416714411898283, 0.3511939539357627, -0.04931828917051462, -0.1359660587622784, 0.11997514946415322, -0.1860954475523613, -0.0402645044196106, 0.19257014979666565, 0.18583298989506147, 0.16032309796537447, -0.1149762701140844, -0.0003616628541749378, 0.00894280391457869, 0.22873217431242665, 0.1439932285247778, 0.010261538409395143, 0.24423585472140985, 0.22433693939774457, 0.05171234814406489, 0.1718526043332531, -0.19828738262913248, -0.04066430506281904, -0.3126899501335174, -0.10502054132484773, -0.14637065573697328, -0.00025596615876111173, -0.0373711921344011, -0.15873957378789783, 0.4735002237331116, 0.14786318103142548, 0.19094866218074458, -0.03354450495135097, 0.3638696270536457, 0.11189840229781112, 0.0542305014437261, 0.000789988691394683, 0.25043653885950334, 0.12002075156124192, 0.14213678501255345, -0.18714353793984628, 0.022719639673596248, 0.035264706628368] |
1,802.00827 | iHixs 2 - Inclusive Higgs Cross Sections | We present a new release of the program iHixs. This easy-to-use tool allows
to derive state of the art predictions for the inclusive production cross
section of a Higgs boson at hadron colliders in the gluon fusion production
mode. This includes the most up-to-date corrections in perturbative QCD and
electro-weak theory, effects due to finite quark masses as well as an option to
perform threshold resummation. In particular, exact perturbative QCD
corrections through N3LO are included in the heavy top quark effective theory.
Furthermore, iHixs contains automatic routines that allow to assess residual
uncertainties on the prediction for the Higgs boson production cross section
according to well established standard definitions. iHixs can be obtained from
https://github.com/dulatf/ihixs .
| hep-ph hep-ex | we present a new release of the program ihixs this easytouse tool allows to derive state of the art predictions for the inclusive production cross section of a higgs boson at hadron colliders in the gluon fusion production mode this includes the most uptodate corrections in perturbative qcd and electroweak theory effects due to finite quark masses as well as an option to perform threshold resummation in particular exact perturbative qcd corrections through n3lo are included in the heavy top quark effective theory furthermore ihixs contains automatic routines that allow to assess residual uncertainties on the prediction for the higgs boson production cross section according to well established standard definitions ihixs can be obtained from httpsgithubcomdulatfihixs | [['we', 'present', 'a', 'new', 'release', 'of', 'the', 'program', 'ihixs', 'this', 'easytouse', 'tool', 'allows', 'to', 'derive', 'state', 'of', 'the', 'art', 'predictions', 'for', 'the', 'inclusive', 'production', 'cross', 'section', 'of', 'a', 'higgs', 'boson', 'at', 'hadron', 'colliders', 'in', 'the', 'gluon', 'fusion', 'production', 'mode', 'this', 'includes', 'the', 'most', 'uptodate', 'corrections', 'in', 'perturbative', 'qcd', 'and', 'electroweak', 'theory', 'effects', 'due', 'to', 'finite', 'quark', 'masses', 'as', 'well', 'as', 'an', 'option', 'to', 'perform', 'threshold', 'resummation', 'in', 'particular', 'exact', 'perturbative', 'qcd', 'corrections', 'through', 'n3lo', 'are', 'included', 'in', 'the', 'heavy', 'top', 'quark', 'effective', 'theory', 'furthermore', 'ihixs', 'contains', 'automatic', 'routines', 'that', 'allow', 'to', 'assess', 'residual', 'uncertainties', 'on', 'the', 'prediction', 'for', 'the', 'higgs', 'boson', 'production', 'cross', 'section', 'according', 'to', 'well', 'established', 'standard', 'definitions', 'ihixs', 'can', 'be', 'obtained', 'from', 'httpsgithubcomdulatfihixs']] | [0.009846658897383705, 0.15935629085781883, -0.1331020514986923, 0.1824432821276233, -0.08040364022650148, -0.11169070524527974, 0.056137306644054856, 0.31128869887603366, -0.18412177213163966, -0.24434848252845848, 0.010270510783985906, -0.3078516995596305, 0.04318692582537947, 0.16107659110920908, 0.04135157261853633, 0.15069606946072664, 0.10995350036486659, 0.030652719345348686, -0.025895996047588795, -0.26076196894130627, 0.2895449089433026, 0.07310774665649818, 0.21159203432338394, 0.19282079258042834, 0.06390749872864589, 0.0802356142854399, -0.0981560253988668, -0.08878144902315081, -0.1344948635176558, 0.09288893543264788, 0.27786510842953527, 0.04588825239435486, 0.1266186621526013, -0.34213363234277655, -0.10119318564867844, 0.06782437901458015, 0.15630232680831915, 0.1831948985548123, -0.05495754463861332, -0.2604598519498604, 0.10928634125334413, -0.32181245738073533, -0.12354099718529893, -0.15156322853315785, -0.0617910219680356, -0.09283060827494963, -0.36088998518560245, 0.06140285702295723, -0.1112583433277905, 0.01653521478621532, 0.032718114534129754, -0.19960038516994405, -0.0780828362138456, 0.05419241477451894, 0.1158571617272885, 0.060842481584531136, 0.19113026712008793, -0.21926523682879, -0.20336547302811042, 0.4257032575328713, -0.10764105912176487, -0.15687331941140734, 0.13055377011389835, -0.1313428103842813, -0.17025430370527117, 0.1271920324748625, 0.259917847957948, 0.09551975062197965, -0.21413451028663827, 0.16439321510767077, 0.05672093043103814, 0.16171472632812092, 0.03660167345939123, 0.04684433351149377, 0.2081123281027312, 0.20085690354968866, -0.0450135953967338, 0.0781411460550178, -0.0502189700147542, -0.1152538406379197, -0.4846536693365677, -0.10919023115977483, 0.0037697856063934284, 0.02374226034456945, -0.045005553448446214, -0.17296190405993359, 0.35134292753494306, 0.1711421813532386, 0.22140536206045552, 0.034562802225675274, 0.3828978771181858, 0.1156417611601722, 0.0930499250960091, 0.04367740751122651, 0.32080665681025256, 0.1774231976100608, 0.12512486244187407, -0.1971939690552814, 0.020323637002350195, 0.1526093624767584] |
1,802.00828 | Comparing multiple networks using the Co-expression Differential Network
Analysis (CoDiNA) | Biomedical sciences are increasingly recognising the relevance of gene
co-expression-networks for analysing complex-systems, phenotypes or diseases.
When the goal is investigating complex-phenotypes under varying conditions, it
comes naturally to employ comparative network methods. While approaches for
comparing two networks exist, this is not the case for multiple networks. Here
we present a method for the systematic comparison of an unlimited number of
networks: Co-expression Differential Network Analysis (CoDiNA) for detecting
links and nodes that are common, specific or different to the networks.
Applying CoDiNA to a neurogenesis study identified genes for neuron
differentiation. Experimentally overexpressing one candidate resulted in
significant disturbance in the underlying neurogenesis' gene regulatory
network. We compared data from adults and children with active tuberculosis to
test for signatures of HIV. We also identified common and distinct network
features for particular cancer types with CoDiNA. These studies show that
CoDiNA successfully detects genes associated with the diseases.
| stat.CO q-bio.MN stat.AP | biomedical sciences are increasingly recognising the relevance of gene coexpressionnetworks for analysing complexsystems phenotypes or diseases when the goal is investigating complexphenotypes under varying conditions it comes naturally to employ comparative network methods while approaches for comparing two networks exist this is not the case for multiple networks here we present a method for the systematic comparison of an unlimited number of networks coexpression differential network analysis codina for detecting links and nodes that are common specific or different to the networks applying codina to a neurogenesis study identified genes for neuron differentiation experimentally overexpressing one candidate resulted in significant disturbance in the underlying neurogenesis gene regulatory network we compared data from adults and children with active tuberculosis to test for signatures of hiv we also identified common and distinct network features for particular cancer types with codina these studies show that codina successfully detects genes associated with the diseases | [['biomedical', 'sciences', 'are', 'increasingly', 'recognising', 'the', 'relevance', 'of', 'gene', 'coexpressionnetworks', 'for', 'analysing', 'complexsystems', 'phenotypes', 'or', 'diseases', 'when', 'the', 'goal', 'is', 'investigating', 'complexphenotypes', 'under', 'varying', 'conditions', 'it', 'comes', 'naturally', 'to', 'employ', 'comparative', 'network', 'methods', 'while', 'approaches', 'for', 'comparing', 'two', 'networks', 'exist', 'this', 'is', 'not', 'the', 'case', 'for', 'multiple', 'networks', 'here', 'we', 'present', 'a', 'method', 'for', 'the', 'systematic', 'comparison', 'of', 'an', 'unlimited', 'number', 'of', 'networks', 'coexpression', 'differential', 'network', 'analysis', 'codina', 'for', 'detecting', 'links', 'and', 'nodes', 'that', 'are', 'common', 'specific', 'or', 'different', 'to', 'the', 'networks', 'applying', 'codina', 'to', 'a', 'neurogenesis', 'study', 'identified', 'genes', 'for', 'neuron', 'differentiation', 'experimentally', 'overexpressing', 'one', 'candidate', 'resulted', 'in', 'significant', 'disturbance', 'in', 'the', 'underlying', 'neurogenesis', 'gene', 'regulatory', 'network', 'we', 'compared', 'data', 'from', 'adults', 'and', 'children', 'with', 'active', 'tuberculosis', 'to', 'test', 'for', 'signatures', 'of', 'hiv', 'we', 'also', 'identified', 'common', 'and', 'distinct', 'network', 'features', 'for', 'particular', 'cancer', 'types', 'with', 'codina', 'these', 'studies', 'show', 'that', 'codina', 'successfully', 'detects', 'genes', 'associated', 'with', 'the', 'diseases']] | [-0.10755178538730016, 0.046949362103151614, 0.02097357386358183, 0.11045804065754448, -0.05578195739606697, -0.18266748854059828, 0.06395786702617172, 0.39947491641175253, -0.22943430302375173, -0.266848950369938, 0.0691387668941044, -0.29863917815020763, -0.2621675884583965, 0.2092205754550476, -0.0933648535157428, 0.02985085215344018, 0.1289794795023202, 0.04035808702276365, 0.07021634247015558, -0.22788642384615299, 0.32884991209249237, 0.03530477184009411, 0.31568344363099515, -0.013520607069556325, 0.09481801392866072, -0.04704071935447172, -0.07367635540258316, 0.034204209698489994, -0.08883926885352372, 0.14070649741129396, 0.3589861488938835, 0.20610107390235202, 0.3244218587044727, -0.4370311812774555, -0.27499153870913023, 0.15869818422691645, 0.1413484194238884, 0.15164095255061733, -0.023065999666279233, -0.291980015867503, 0.11537407195223873, -0.1406231660118981, -0.05331159624699, -0.09602188262018703, 0.014172149595577974, 0.031014502186538978, -0.26582537184633015, 0.09897554825973301, -0.02195878913531684, 0.15057120684886705, -0.05784321973270208, -0.13496221595670324, -0.04204553068533691, 0.21081209172297274, 0.08124314434511738, -0.010477932574340721, 0.1452091556935999, -0.15313672619664134, -0.1710132720527818, 0.2949970597904679, 0.021900189568515162, -0.17464787695073913, 0.24697159229450533, -0.06621862928276076, -0.21658281794107342, 0.09142742230481393, 0.19013161581588556, 0.06845395452644978, -0.2286000958431671, -0.06392489873601212, 0.00638625754446194, 0.15250191689316323, 0.08769760632610603, -0.01979044032585178, 0.15021492121111904, 0.21946890987267062, 0.0003055038710905088, 0.11346836002839326, -0.1230278360862694, -0.08186886867042631, -0.18139981989146248, -0.13892424876197568, -0.10924161114176181, -0.008454168300640713, -0.09921621754295523, -0.15119844433580953, 0.42226094884697246, 0.13985420786628164, 0.1614674132417988, 0.07033049393873159, 0.24690498107087774, 0.004354100581179876, 0.1161196401871338, 0.02271686602270583, 0.14854824217036366, 0.08674864481027061, 0.0826692272597496, -0.2128950508639399, 0.1602985252849632, -0.0429872839925559] |
1,802.00829 | Induced crystallization method of rapid metal melts 3d-printing | A solution for the most important problems in 3D printing technology (long
print times, small build volumes and limited material properties) is proposed.
Method is based on the fact that temperature of melts crystallization can be
shifted up by pressure. Required pressure can be created by Ampere force caused
by electric current in the melt flow. Magnetohydrodynamical model (with heat
taken into account) is developed. It has been shown that additional heating of
melt by this current can be overcome by appropriate choice of tunable
parameters and introduction of some additional magnetic field. Range of
parameters where this induced crystallization can take place is found.
| physics.app-ph cond-mat.mtrl-sci | a solution for the most important problems in 3d printing technology long print times small build volumes and limited material properties is proposed method is based on the fact that temperature of melts crystallization can be shifted up by pressure required pressure can be created by ampere force caused by electric current in the melt flow magnetohydrodynamical model with heat taken into account is developed it has been shown that additional heating of melt by this current can be overcome by appropriate choice of tunable parameters and introduction of some additional magnetic field range of parameters where this induced crystallization can take place is found | [['a', 'solution', 'for', 'the', 'most', 'important', 'problems', 'in', '3d', 'printing', 'technology', 'long', 'print', 'times', 'small', 'build', 'volumes', 'and', 'limited', 'material', 'properties', 'is', 'proposed', 'method', 'is', 'based', 'on', 'the', 'fact', 'that', 'temperature', 'of', 'melts', 'crystallization', 'can', 'be', 'shifted', 'up', 'by', 'pressure', 'required', 'pressure', 'can', 'be', 'created', 'by', 'ampere', 'force', 'caused', 'by', 'electric', 'current', 'in', 'the', 'melt', 'flow', 'magnetohydrodynamical', 'model', 'with', 'heat', 'taken', 'into', 'account', 'is', 'developed', 'it', 'has', 'been', 'shown', 'that', 'additional', 'heating', 'of', 'melt', 'by', 'this', 'current', 'can', 'be', 'overcome', 'by', 'appropriate', 'choice', 'of', 'tunable', 'parameters', 'and', 'introduction', 'of', 'some', 'additional', 'magnetic', 'field', 'range', 'of', 'parameters', 'where', 'this', 'induced', 'crystallization', 'can', 'take', 'place', 'is', 'found']] | [-0.08214299492427103, 0.2089748712855258, -0.07429071295829047, -0.011837069475136342, -0.07786033719423271, -0.1287208099139943, -0.009196332314362128, 0.38759255707263945, -0.2874530253632526, -0.35320768045882384, 0.12414597398934088, -0.19688780217076696, -0.09327557706052349, 0.21476136348210276, -0.041955013839261875, 0.04860760356366102, 0.04455094600894621, -0.031657160729879424, -0.02587130531402571, -0.23221013343316457, 0.2565019236766689, 0.059823955888194696, 0.28389108617390907, 0.1095231453932467, 0.09991903596868118, -0.05633474504131646, 0.006759801999266658, 0.10797673416257436, -0.13817636313518353, 0.046480304222287876, 0.2163873612836358, 0.04350308625337978, 0.2764861243466536, -0.5099201758702596, -0.3004032564127729, 0.057980008986556815, 0.12490869509277953, 0.11620554147909085, -0.0851600281639202, -0.26327366523799445, 0.07842191240883299, -0.15714833948406434, -0.10196518538342346, -0.11395019465791327, 0.012840627928796623, 0.034112541594853, -0.27991142948823317, 0.05323716023205114, 0.06394403487820888, 0.037395144051073914, -0.07609643802141017, -0.10908361933072142, -0.03058685627987697, 0.09264499264148375, 0.06926685612803946, 0.07002743677945719, 0.19990595441001158, -0.11890332909921805, -0.0351714175904081, 0.4003111021149726, -0.034355373139537515, -0.1564857556706383, 0.1464237876835146, -0.11168300937417718, -0.039123684666784744, 0.20564179844888195, 0.14954610829230486, 0.07306622504034922, -0.19695662594444696, 0.06385709251654112, 0.013869844798907814, 0.1811181120485777, 0.09106657000569006, -0.050182848636593134, 0.25379809097697337, 0.2163561370755945, 0.02278138705573621, 0.16066703728644088, -0.06674559191815206, -0.04979697253909849, -0.21983002207818486, -0.14888736491668084, -0.19928680770986137, 0.07182204640869583, -0.07186915748059705, -0.11621379362768494, 0.33813791392104964, 0.20818288262844795, 0.16951019368688797, -0.08709051464019077, 0.30081277620934305, 0.13841548426342862, 0.14799993269400494, 0.04675824360123702, 0.2453986707512134, 0.10987677227350928, 0.12507593504463632, -0.20450201925067674, 0.12200466934148045, 0.06553693568954864] |
1,802.0083 | Spectral Evidence for Amorphous Silicates in Least-processed CO
Meteorites and Their Parent Bodies | Least-processed carbonaceous chondrites (carbonaceous chondrites that have
experienced minimal aqueous alteration and thermal metamorphism) are
characterized by their predominately amorphous iron-rich silicate
interchondrule matrices and chondrule rims. The presence of abundant amorphous
material in a meteorite indicates that the parent body, or at least a region of
the parent body, experienced minimal processing since the time of accretion.
The CO chemical group of carbonaceous chondrites has a significant number of
these least-processed samples. We present visible/near-infrared and
mid-infrared spectra of eight least-processed CO meteorites (petrologic type
3.0-3.1). In the visible/near-infrared, these COs are characterized by a broad
weak feature that was first observed by Cloutis et al. (2012) to be at 1.3-um
and attributed to iron-rich amorphous silicate matrix materials. This feature
is observed to be centered at 1.4-um for terrestrially unweathered,
least-processed CO meteorites. At mid-infrared wavelengths, a 21-um feature,
consistent with Si-O vibrations of amorphous materials and glasses, is also
present. This spectral signature is absent in both the near- and mid-infrared
spectra of higher metamorphic grade COs because this material has
recrystallized as crystalline olivine. Furthermore, spectra of least-processed
primitive meteorites from other chemical groups (CRs, MET 00426 and QUE 99177,
and C2-ungrouped Acfer 094), also exhibit a 21-um feature. Thus, we conclude
that the 1.4- and 21-umm features are characteristic of primitive
least-processed meteorites from all chemical groups of carbonaceous chondrites.
Finally, we present an IRTF+SPeX observation of asteroid (93) Minerva that has
spectral similarities in the visible/near-infrared to the least-processed CO
carbonaceous chondrites. Minerva is likely the least-processed CO-like asteroid
observed to date.
| astro-ph.EP | leastprocessed carbonaceous chondrites carbonaceous chondrites that have experienced minimal aqueous alteration and thermal metamorphism are characterized by their predominately amorphous ironrich silicate interchondrule matrices and chondrule rims the presence of abundant amorphous material in a meteorite indicates that the parent body or at least a region of the parent body experienced minimal processing since the time of accretion the co chemical group of carbonaceous chondrites has a significant number of these leastprocessed samples we present visiblenearinfrared and midinfrared spectra of eight leastprocessed co meteorites petrologic type 3031 in the visiblenearinfrared these cos are characterized by a broad weak feature that was first observed by cloutis et al 2012 to be at 13um and attributed to ironrich amorphous silicate matrix materials this feature is observed to be centered at 14um for terrestrially unweathered leastprocessed co meteorites at midinfrared wavelengths a 21um feature consistent with sio vibrations of amorphous materials and glasses is also present this spectral signature is absent in both the near and midinfrared spectra of higher metamorphic grade cos because this material has recrystallized as crystalline olivine furthermore spectra of leastprocessed primitive meteorites from other chemical groups crs met 00426 and que 99177 and c2ungrouped acfer 094 also exhibit a 21um feature thus we conclude that the 14 and 21umm features are characteristic of primitive leastprocessed meteorites from all chemical groups of carbonaceous chondrites finally we present an irtfspex observation of asteroid 93 minerva that has spectral similarities in the visiblenearinfrared to the leastprocessed co carbonaceous chondrites minerva is likely the leastprocessed colike asteroid observed to date | [['leastprocessed', 'carbonaceous', 'chondrites', 'carbonaceous', 'chondrites', 'that', 'have', 'experienced', 'minimal', 'aqueous', 'alteration', 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1,802.00831 | Commuting planar polynomial vector fields for conservative Newton
systems | We study the problem of characterizing polynomial vector fields that commute
with a given polynomial vector field on a plane. It is a classical result that
one can write down solution formulas for an ODE that corresponds to a planar
vector field that possesses a linearly independent commuting vector field. This
problem is also central to the question of linearizability of vector fields.
Let $f \in K[x]$, where $K$ is a field of characteristic zero, and $d$ the
derivation that corresponds to the differential equation $\ddot x = f(x)$ in a
standard way. Let also $H$ be the Hamiltonian polynomial for $d$, that is
$H=\frac{1}{2}y^2-\int{f(x)dx}$. It is known that the set of all polynomial
derivations that commute with $d$ forms a $K[H]$-module $M_d$. In this paper,
we show that, for every such $d$, the module $M_d$ is of rank $1$ if and only
if $\text{deg}\; f\geqslant 2$. For example, the classical elliptic equation
$\ddot x = 6x^2+a$, where $a \in \mathbb{C}$, falls into this category.
| math.DS math.AC math.CA math.RA | we study the problem of characterizing polynomial vector fields that commute with a given polynomial vector field on a plane it is a classical result that one can write down solution formulas for an ode that corresponds to a planar vector field that possesses a linearly independent commuting vector field this problem is also central to the question of linearizability of vector fields let f in kx where k is a field of characteristic zero and d the derivation that corresponds to the differential equation ddot x fx in a standard way let also h be the hamiltonian polynomial for d that is hfrac12y2intfxdx it is known that the set of all polynomial derivations that commute with d forms a khmodule m_d in this paper we show that for every such d the module m_d is of rank 1 if and only if textdeg fgeqslant 2 for example the classical elliptic equation ddot x 6x2a where a in mathbbc falls into this category | [['we', 'study', 'the', 'problem', 'of', 'characterizing', 'polynomial', 'vector', 'fields', 'that', 'commute', 'with', 'a', 'given', 'polynomial', 'vector', 'field', 'on', 'a', 'plane', 'it', 'is', 'a', 'classical', 'result', 'that', 'one', 'can', 'write', 'down', 'solution', 'formulas', 'for', 'an', 'ode', 'that', 'corresponds', 'to', 'a', 'planar', 'vector', 'field', 'that', 'possesses', 'a', 'linearly', 'independent', 'commuting', 'vector', 'field', 'this', 'problem', 'is', 'also', 'central', 'to', 'the', 'question', 'of', 'linearizability', 'of', 'vector', 'fields', 'let', 'f', 'in', 'kx', 'where', 'k', 'is', 'a', 'field', 'of', 'characteristic', 'zero', 'and', 'd', 'the', 'derivation', 'that', 'corresponds', 'to', 'the', 'differential', 'equation', 'ddot', 'x', 'fx', 'in', 'a', 'standard', 'way', 'let', 'also', 'h', 'be', 'the', 'hamiltonian', 'polynomial', 'for', 'd', 'that', 'is', 'hfrac12y2intfxdx', 'it', 'is', 'known', 'that', 'the', 'set', 'of', 'all', 'polynomial', 'derivations', 'that', 'commute', 'with', 'd', 'forms', 'a', 'khmodule', 'm_d', 'in', 'this', 'paper', 'we', 'show', 'that', 'for', 'every', 'such', 'd', 'the', 'module', 'm_d', 'is', 'of', 'rank', '1', 'if', 'and', 'only', 'if', 'textdeg', 'fgeqslant', '2', 'for', 'example', 'the', 'classical', 'elliptic', 'equation', 'ddot', 'x', '6x2a', 'where', 'a', 'in', 'mathbbc', 'falls', 'into', 'this', 'category']] | [-0.18868167122127488, 0.10949485951359747, -0.07328368253656663, -0.0021652125935361253, -0.0918830426846398, -0.16734976095322054, -0.026865469009499064, 0.30380138339460244, -0.33831767604569907, -0.19232568992010785, 0.08443976930138888, -0.27647071252577005, -0.1408588931313716, 0.19951020157386665, -0.03783081055689763, -0.03560756924562156, 0.027486521934042683, 0.1597757717478089, -0.07338876471476397, -0.2744522712659091, 0.35621431878535076, -0.08978210811328609, 0.1498610922077205, 0.006828443019185215, 0.15585784522700125, 0.022751823141879866, 0.06047484642185737, 0.019377448808518237, -0.12784278264430213, 0.058563896497071256, 0.26433001533150674, 0.1273851744615513, 0.25596618158815543, -0.33399977839053463, -0.14794459698023274, 0.19796171076377506, 0.15961563388118521, 0.019539187982809382, 0.006898098796227714, -0.19045476368337405, 0.15760908451629801, -0.12621835414320232, -0.16684343316301237, -0.044193768907280176, 0.14394676536976475, -0.01974490402935771, -0.3446194142161403, 0.03466737007074698, 0.12103698350401829, 0.05705127257388085, -0.04969171269913204, -0.10007457022147719, -0.03508802731375908, 0.031137712372583337, -0.0024470776086673142, 0.17353763488208643, 0.055722373060052635, -0.11827331503736786, -0.08435524599917699, 0.38363942920113914, -0.11632004823113676, -0.26709005944721864, 0.09705301866051741, -0.18476354044978507, -0.127099625748815, 0.10780221340246499, 0.13172901581856422, 0.1542207207328829, -0.10989296331536025, 0.22401421803733684, -0.14878173703327774, 0.15422238280880265, 0.057132503812317735, -0.03597477723233169, 0.13231095007940893, 0.08564056210816488, 0.11007244437059853, 0.09483486780009116, 0.0026814002470928245, -0.03908347337855957, -0.36556492422241715, -0.1952437559957616, -0.15285695124039195, 0.153749639630405, -0.10579391965275135, -0.151764475973323, 0.3810108179692179, 0.124544299684203, 0.21473467921023257, 0.07574106566607952, 0.24040778752241748, 0.16493571308465108, 0.044600733078550545, 0.0950517773082538, 0.13023817859357223, 0.19196896478388226, 0.03500104174891021, -0.15485719669959508, -0.0049842581589473415, 0.11932580115681049] |
1,802.00832 | Circumventing Magnetic Reciprocity: a Diode for Magnetic Fields | Lorentz reciprocity establishes a stringent relation between electromagnetic
fields and their sources. For static magnetic fields, a relation between
magnetic sources and fields can be drawn in analogy to the Green's reciprocity
principle for electrostatics. Here we theoretically and experimentally show
that a linear and isotropic electrically conductive material moving with
constant velocity is able to circumvent the magnetic reciprocity principle and
realize a diode for magnetic fields. This result is demonstrated by measuring
an extremely asymmetric magnetic coupling between two coils that are located
near a moving conductor. The possibility to generate controlled unidirectional
magnetic couplings breaks down one of the most deeply-established relations in
classical electromagnetism, namely that mutual inductances are symmetric. This
result might provide novel possibilities for applications and technologies
based on magnetically coupled elements.
| physics.class-ph | lorentz reciprocity establishes a stringent relation between electromagnetic fields and their sources for static magnetic fields a relation between magnetic sources and fields can be drawn in analogy to the greens reciprocity principle for electrostatics here we theoretically and experimentally show that a linear and isotropic electrically conductive material moving with constant velocity is able to circumvent the magnetic reciprocity principle and realize a diode for magnetic fields this result is demonstrated by measuring an extremely asymmetric magnetic coupling between two coils that are located near a moving conductor the possibility to generate controlled unidirectional magnetic couplings breaks down one of the most deeplyestablished relations in classical electromagnetism namely that mutual inductances are symmetric this result might provide novel possibilities for applications and technologies based on magnetically coupled elements | [['lorentz', 'reciprocity', 'establishes', 'a', 'stringent', 'relation', 'between', 'electromagnetic', 'fields', 'and', 'their', 'sources', 'for', 'static', 'magnetic', 'fields', 'a', 'relation', 'between', 'magnetic', 'sources', 'and', 'fields', 'can', 'be', 'drawn', 'in', 'analogy', 'to', 'the', 'greens', 'reciprocity', 'principle', 'for', 'electrostatics', 'here', 'we', 'theoretically', 'and', 'experimentally', 'show', 'that', 'a', 'linear', 'and', 'isotropic', 'electrically', 'conductive', 'material', 'moving', 'with', 'constant', 'velocity', 'is', 'able', 'to', 'circumvent', 'the', 'magnetic', 'reciprocity', 'principle', 'and', 'realize', 'a', 'diode', 'for', 'magnetic', 'fields', 'this', 'result', 'is', 'demonstrated', 'by', 'measuring', 'an', 'extremely', 'asymmetric', 'magnetic', 'coupling', 'between', 'two', 'coils', 'that', 'are', 'located', 'near', 'a', 'moving', 'conductor', 'the', 'possibility', 'to', 'generate', 'controlled', 'unidirectional', 'magnetic', 'couplings', 'breaks', 'down', 'one', 'of', 'the', 'most', 'deeplyestablished', 'relations', 'in', 'classical', 'electromagnetism', 'namely', 'that', 'mutual', 'inductances', 'are', 'symmetric', 'this', 'result', 'might', 'provide', 'novel', 'possibilities', 'for', 'applications', 'and', 'technologies', 'based', 'on', 'magnetically', 'coupled', 'elements']] | [-0.19273673189309193, 0.2072409519142866, -0.0346876588446321, 0.06849163013976067, -0.1286981498979003, -0.17497941037800047, 0.03564158381186644, 0.41321567842533113, -0.2697345832029896, -0.3258055825365318, 0.002880359991650039, -0.23238577500160318, -0.14812352214721614, 0.25508994413075925, 0.025667393405456096, -0.03509717225369968, -0.06243060018232427, -0.012145697650112197, -0.05386471766723844, -0.13435446854055044, 0.3004443748650374, 0.0050548788567539304, 0.34308586462793755, 0.06772437074323534, 0.11543530948256375, -0.01814400759030832, 0.05987604469555663, 0.0610129551278078, -0.08682281216800902, 0.10473901071236469, 0.2123029461617989, -0.02418148864126124, 0.20737012133395183, -0.47562549510621466, -0.19266166898887604, 0.07645396367479407, 0.098546061615707, 0.12846221051222528, -0.11651815847289981, -0.27854325480439, 0.06771980856865412, -0.12219972877574037, -0.17275387435074663, -0.08426575254634372, 0.01378986913059066, 0.0336946475977129, -0.30324876572558424, 0.08252466479552822, 0.06915311918601219, 0.07132054390331177, -0.060573296428628964, -0.019335184362716973, 0.02358915396325756, 0.09998567971706507, 0.04292831920975004, 0.02298247398721287, 0.14984675833693473, -0.15313377492702784, -0.1363243695377605, 0.34790964078274556, -0.03504069218706718, -0.18719574920396553, 0.1915200953508247, -0.11877067570276267, -0.0615828171994508, 0.08469352136125963, 0.15665605124740978, 0.09414984618342714, -0.1973295772640995, 0.054113723735099484, -0.025048833842447493, 0.14599269895916223, 0.09696992431418039, 0.05838921188842505, 0.2972043469635537, 0.09941540227737278, 0.04626417860379206, 0.15121594747597555, -0.099619039812751, -0.05368419360820553, -0.2797731844109421, -0.16092229482455878, -0.17945174778651563, 0.08332754057664715, -0.06964467343289016, -0.1342785342158095, 0.30319532850626274, 0.1724839858920859, 0.12076670456008287, -0.0032373654466937296, 0.30931419688567985, 0.1004125189538172, 0.08708804690104444, 0.06478566658915952, 0.34257854919997044, 0.257120254936126, 0.10600846373199602, -0.19664947604906047, 0.004881271077465499, 0.03167885800212389] |
1,802.00833 | Higgs Boson Production at Hadron Colliders at N3LO in QCD | We present the Higgs boson production cross section at Hadron colliders in
the gluon fusion production mode through N3LO in perturbative QCD.
Specifically, we work in an effective theory where the top quark is assumed to
be infinitely heavy and all other quarks are considered to be massless. Our
result is the first exact formula for a partonic hadron collider cross section
at N3LO in perturbative QCD. Furthermore, this result represents the first
analytic computation of a hadron collider cross section involving elliptic
integrals. We derive numerical predictions for the Higgs boson cross section at
the LHC. Previously this result was approximated by an expansion of the cross
section around the production threshold of the Higgs boson and we compare our
findings. Finally, we study the impact of our new result on the state of the
art prediction for the Higgs boson cross section at the LHC.
| hep-ph hep-th | we present the higgs boson production cross section at hadron colliders in the gluon fusion production mode through n3lo in perturbative qcd specifically we work in an effective theory where the top quark is assumed to be infinitely heavy and all other quarks are considered to be massless our result is the first exact formula for a partonic hadron collider cross section at n3lo in perturbative qcd furthermore this result represents the first analytic computation of a hadron collider cross section involving elliptic integrals we derive numerical predictions for the higgs boson cross section at the lhc previously this result was approximated by an expansion of the cross section around the production threshold of the higgs boson and we compare our findings finally we study the impact of our new result on the state of the art prediction for the higgs boson cross section at the lhc | [['we', 'present', 'the', 'higgs', 'boson', 'production', 'cross', 'section', 'at', 'hadron', 'colliders', 'in', 'the', 'gluon', 'fusion', 'production', 'mode', 'through', 'n3lo', 'in', 'perturbative', 'qcd', 'specifically', 'we', 'work', 'in', 'an', 'effective', 'theory', 'where', 'the', 'top', 'quark', 'is', 'assumed', 'to', 'be', 'infinitely', 'heavy', 'and', 'all', 'other', 'quarks', 'are', 'considered', 'to', 'be', 'massless', 'our', 'result', 'is', 'the', 'first', 'exact', 'formula', 'for', 'a', 'partonic', 'hadron', 'collider', 'cross', 'section', 'at', 'n3lo', 'in', 'perturbative', 'qcd', 'furthermore', 'this', 'result', 'represents', 'the', 'first', 'analytic', 'computation', 'of', 'a', 'hadron', 'collider', 'cross', 'section', 'involving', 'elliptic', 'integrals', 'we', 'derive', 'numerical', 'predictions', 'for', 'the', 'higgs', 'boson', 'cross', 'section', 'at', 'the', 'lhc', 'previously', 'this', 'result', 'was', 'approximated', 'by', 'an', 'expansion', 'of', 'the', 'cross', 'section', 'around', 'the', 'production', 'threshold', 'of', 'the', 'higgs', 'boson', 'and', 'we', 'compare', 'our', 'findings', 'finally', 'we', 'study', 'the', 'impact', 'of', 'our', 'new', 'result', 'on', 'the', 'state', 'of', 'the', 'art', 'prediction', 'for', 'the', 'higgs', 'boson', 'cross', 'section', 'at', 'the', 'lhc']] | [-0.04865459100102537, 0.19058180413051307, -0.13752316432802297, 0.12803568075835503, -0.044394991715394315, -0.08609368773747464, 0.013004209752017189, 0.31174874021893456, -0.17607931209392338, -0.19397408777505767, -0.02897054398888532, -0.34154221947704044, 0.01137735375019462, 0.1703868509748583, 0.10119060173707532, 0.15014352890833907, 0.12780233798865356, 0.04681631250205596, -0.004598518336179102, -0.3296233837169652, 0.3471301129740365, 0.060677845094378305, 0.17559309461831946, 0.23623844443940792, 0.07567384170659748, 0.08709766296353065, -0.044523749849363074, -0.11465407382113998, -0.14992323644193156, 0.11559003412242042, 0.282340841726986, 0.007041865459256837, 0.10220250749618423, -0.3265456912190128, -0.06985019676254264, 0.10006301625169256, 0.1555069018738205, 0.15965893513168253, -0.05236877293601556, -0.27438842581242934, 0.14198902531900778, -0.3228423706046781, -0.14185622240080922, -0.06511450007551534, -0.04523614195625291, -0.10708568184787003, -0.3341972405014902, 0.06692144809331156, -0.07914734333215066, 0.01843077474476478, 0.00392343472692558, -0.19673933107310868, -0.05748428593288322, -0.035182928926229075, 0.14329120533882964, 0.04218547551284487, 0.1867243036070243, -0.23875967898171674, -0.21790093771533622, 0.3575196672851841, -0.09402266291697148, -0.16979822920331236, 0.12234539309275799, -0.1964221633748994, -0.16929033852885572, 0.14373453414435086, 0.27915927975558913, 0.10999273004479149, -0.17762290326510968, 0.17828051558280755, -0.023869117205569737, 0.1309963762886873, 0.10773163377845875, 0.006642867734997856, 0.19152910756200653, 0.22869179738672818, -0.006078610798584766, 0.06562502193621036, -0.08403063726890199, -0.11648204341391419, -0.5269980293312142, -0.15803533588729318, -0.042782884564521555, 0.041823504912369205, -0.046597477111792775, -0.11194892195655273, 0.34983243873393555, 0.11792977426365829, 0.3045758951129075, 0.03590173054435829, 0.3701935854746776, 0.1714583639947216, 0.035333085271805446, 0.04224560882157304, 0.363917737058839, 0.17352604566515759, 0.14502937348122347, -0.18329649903418713, 0.0057692656033754754, 0.14858122813126523] |
1,802.00834 | A two-dimensional labile aether through homogenization | Homogenization in linear elliptic problems usually assumes coercivity of the
accompanying Dirichlet form. In linear elasticity, coercivity is not ensured
through mere (strong) ellipticity so that the usual estimates that render
homogenization meaningful break down unless stronger assumptions, like very
strong ellipticity, are put into place. Here, we demonstrate that a L^2-type
homogenization process can still be performed, very strong ellipticity
notwithstanding, for a specific two-phase two dimensional problem whose
significance derives from prior work establishing that one can lose strong
ellipticity in such a setting, provided that homogenization turns out to be
meaningful.A striking consequence is that, in an elasto-dynamic setting, some
two-phase homogenized laminate may support plane wave propagation in the
direction of lamination on a bounded domain with Dirichlet boundary conditions,
a possibility which does not exist for the associated two-phase microstructure
at a fixed scale. Also, that material blocks longitudinal waves in the
direction of lamination, thereby acting as a two-dimensional aether in the
sense of e.g. Cauchy.
| math.AP cond-mat.mtrl-sci | homogenization in linear elliptic problems usually assumes coercivity of the accompanying dirichlet form in linear elasticity coercivity is not ensured through mere strong ellipticity so that the usual estimates that render homogenization meaningful break down unless stronger assumptions like very strong ellipticity are put into place here we demonstrate that a l2type homogenization process can still be performed very strong ellipticity notwithstanding for a specific twophase two dimensional problem whose significance derives from prior work establishing that one can lose strong ellipticity in such a setting provided that homogenization turns out to be meaningfula striking consequence is that in an elastodynamic setting some twophase homogenized laminate may support plane wave propagation in the direction of lamination on a bounded domain with dirichlet boundary conditions a possibility which does not exist for the associated twophase microstructure at a fixed scale also that material blocks longitudinal waves in the direction of lamination thereby acting as a twodimensional aether in the sense of eg cauchy | [['homogenization', 'in', 'linear', 'elliptic', 'problems', 'usually', 'assumes', 'coercivity', 'of', 'the', 'accompanying', 'dirichlet', 'form', 'in', 'linear', 'elasticity', 'coercivity', 'is', 'not', 'ensured', 'through', 'mere', 'strong', 'ellipticity', 'so', 'that', 'the', 'usual', 'estimates', 'that', 'render', 'homogenization', 'meaningful', 'break', 'down', 'unless', 'stronger', 'assumptions', 'like', 'very', 'strong', 'ellipticity', 'are', 'put', 'into', 'place', 'here', 'we', 'demonstrate', 'that', 'a', 'l2type', 'homogenization', 'process', 'can', 'still', 'be', 'performed', 'very', 'strong', 'ellipticity', 'notwithstanding', 'for', 'a', 'specific', 'twophase', 'two', 'dimensional', 'problem', 'whose', 'significance', 'derives', 'from', 'prior', 'work', 'establishing', 'that', 'one', 'can', 'lose', 'strong', 'ellipticity', 'in', 'such', 'a', 'setting', 'provided', 'that', 'homogenization', 'turns', 'out', 'to', 'be', 'meaningfula', 'striking', 'consequence', 'is', 'that', 'in', 'an', 'elastodynamic', 'setting', 'some', 'twophase', 'homogenized', 'laminate', 'may', 'support', 'plane', 'wave', 'propagation', 'in', 'the', 'direction', 'of', 'lamination', 'on', 'a', 'bounded', 'domain', 'with', 'dirichlet', 'boundary', 'conditions', 'a', 'possibility', 'which', 'does', 'not', 'exist', 'for', 'the', 'associated', 'twophase', 'microstructure', 'at', 'a', 'fixed', 'scale', 'also', 'that', 'material', 'blocks', 'longitudinal', 'waves', 'in', 'the', 'direction', 'of', 'lamination', 'thereby', 'acting', 'as', 'a', 'twodimensional', 'aether', 'in', 'the', 'sense', 'of', 'eg', 'cauchy']] | [-0.1304678026795017, 0.11045911245892961, -0.11139578710639884, 0.05482222579218462, -0.16701059424613388, -0.12992154580529386, 0.001066618677812935, 0.3788387142121792, -0.32564852704577474, -0.22753821700371757, 0.14239949362297535, -0.21919879988154037, -0.1252614448587439, 0.18947203019171122, -0.07288358216492101, 0.07270382392445798, 0.0641108400004725, -0.0027473750350684484, -0.07007955623969944, -0.17541133939803388, 0.3227475336391294, 0.003352845567770256, 0.2845079212287522, 0.05097258259015887, 0.08055279899376983, 0.005297023860841805, 0.03040949255517273, 0.07409635436669085, -0.11037112970167434, 0.04890364839844348, 0.2451969427201226, -0.0018865123697735877, 0.2989073178777182, -0.48430184754456235, -0.2469360267060884, 0.10010111004819874, 0.1571488363008696, 0.07576240617160032, -0.07637537531525776, -0.24563895142203349, 0.0922430612577808, -0.0712085351382631, -0.16486573474256103, -0.05306733714746346, -0.015850953717270622, 0.015120132911591705, -0.2969655468886406, 0.1289123669481816, 0.1623101720141004, 0.04369289793366254, -0.07993674586579111, -0.07344880066985576, -0.03460401662492326, 0.03818235959950256, 0.08753394904985347, 0.018450771092570255, 0.10037102880858764, -0.129378104238832, -0.01653225702502597, 0.3733649857758735, -0.06989508586637791, -0.25898527733761795, 0.18559428557221377, -0.14991807908319393, -0.13062410590221515, 0.14026869577211068, 0.17554105339884202, 0.08728107015793182, -0.16665436880610976, 0.09742004622167312, -0.07359523185221868, 0.2081663053040248, 0.13524627645199205, -0.006668499104030754, 0.19633500404679072, 0.12027187126410997, 0.1428770124261493, 0.12286675807453044, -0.02372413925408611, -0.06972045290011981, -0.3612116887899382, -0.14419823108090563, -0.1730357193372137, 0.09022552274380484, -0.10842364303397466, -0.21341378203020517, 0.2992133011315481, 0.14019153959377956, 0.18186105679419118, 0.0479858952244709, 0.21829279450705472, 0.12991652400478698, 0.05574469377795778, 0.0722444689635951, 0.28602634986189357, 0.14143104557966038, 0.10408559293480393, -0.15397492805257243, 0.09619423112490717, 0.0757051557044879] |
1,802.00835 | A Novel Foward-PDE Approach as an Alternative to Empirical Mode
Decomposition | In this paper we present a mathematical model of the Empirical Mode
Decomposition (EMD). Although EMD is a powerful tool for signal processing, the
algorithm itself lacks an appropriate theoretical basis. The interpolation and
iteration processes involved in the EMD method have been obstacles for
mathematical modelling. Here, we propose a novel forward heat equation approach
to represent the mean envelope and sifting process. This new model can provide
a better mathematical analysis of classical EMD as well as identifying its
limitations. Our approach achieves a better performance for a "mode-mixing"
signal as compared to the classical EMD approach and is more robust to noise.
Furthermore, we discuss the ability of EMD to separate signals and possible
improvements by adjusting parameters.
| eess.SP | in this paper we present a mathematical model of the empirical mode decomposition emd although emd is a powerful tool for signal processing the algorithm itself lacks an appropriate theoretical basis the interpolation and iteration processes involved in the emd method have been obstacles for mathematical modelling here we propose a novel forward heat equation approach to represent the mean envelope and sifting process this new model can provide a better mathematical analysis of classical emd as well as identifying its limitations our approach achieves a better performance for a modemixing signal as compared to the classical emd approach and is more robust to noise furthermore we discuss the ability of emd to separate signals and possible improvements by adjusting parameters | [['in', 'this', 'paper', 'we', 'present', 'a', 'mathematical', 'model', 'of', 'the', 'empirical', 'mode', 'decomposition', 'emd', 'although', 'emd', 'is', 'a', 'powerful', 'tool', 'for', 'signal', 'processing', 'the', 'algorithm', 'itself', 'lacks', 'an', 'appropriate', 'theoretical', 'basis', 'the', 'interpolation', 'and', 'iteration', 'processes', 'involved', 'in', 'the', 'emd', 'method', 'have', 'been', 'obstacles', 'for', 'mathematical', 'modelling', 'here', 'we', 'propose', 'a', 'novel', 'forward', 'heat', 'equation', 'approach', 'to', 'represent', 'the', 'mean', 'envelope', 'and', 'sifting', 'process', 'this', 'new', 'model', 'can', 'provide', 'a', 'better', 'mathematical', 'analysis', 'of', 'classical', 'emd', 'as', 'well', 'as', 'identifying', 'its', 'limitations', 'our', 'approach', 'achieves', 'a', 'better', 'performance', 'for', 'a', 'modemixing', 'signal', 'as', 'compared', 'to', 'the', 'classical', 'emd', 'approach', 'and', 'is', 'more', 'robust', 'to', 'noise', 'furthermore', 'we', 'discuss', 'the', 'ability', 'of', 'emd', 'to', 'separate', 'signals', 'and', 'possible', 'improvements', 'by', 'adjusting', 'parameters']] | [-0.016966867981255362, -0.0018132255586539587, -0.1857969387557573, 0.10156223197784942, -0.1151173506817234, -0.14600635211037333, 0.06437363042515387, 0.3830308071760969, -0.2686376144324452, -0.297414288540517, 0.11499099931795119, -0.2111305634468055, -0.22013569613225942, 0.21339150465455306, -0.09995419066399336, 0.11988652087238133, 0.06893851826629363, 2.6357069867470664e-05, -0.05472682417834116, -0.14561943846854788, 0.22023844620605454, 0.11764921247959137, 0.30689507016088535, 0.006230535631237382, 0.10238104112338552, -0.01870345768195477, -0.04540825848013532, 0.0025240945868378827, -0.09687633197350536, 0.16077146011843416, 0.23870859163128272, 0.21090740594851268, 0.3080423985076837, -0.4082907538645524, -0.25171932354107623, 0.08438262140209024, 0.17442281692758327, 0.13046540303371293, -0.07499686130074773, -0.2301379327877802, 0.0779852158166776, -0.165015068074519, -0.10276782742416686, -0.13913914138712913, -0.004737043654650049, -0.04046242942548672, -0.31200462601855705, 0.0858317982474696, 0.0921668846103409, 0.01919930142712248, -0.03350775603547477, -0.14633603963985548, 0.06997945351326022, 0.12636026674650672, 0.05004922012112504, 0.05614164321344684, 0.1260945110982053, -0.06622474622520164, -0.15353522861514948, 0.3757204755232477, -0.07657025858744486, -0.24667050898814005, 0.22476828973432464, -0.04414251887947629, -0.12066706016752099, 0.09085274581347154, 0.1984673220866787, 0.11563627875142073, -0.1950765477054683, 0.03025588789793147, 0.010805309396083197, 0.15408181296930887, 0.023343832809324106, 0.03925662959179233, 0.17974781376417448, 0.24527096492238343, 0.05612173321087314, 0.16357943196473104, -0.10460490357777304, -0.08919210246358113, -0.2509438214560948, -0.1834287776627139, -0.17314967211631266, -0.00774902844713031, -0.11894760985304563, -0.15713497820071692, 0.4143595414213097, 0.20165569476363795, 0.17448350528547588, 0.06999358245025365, 0.3939800151596846, 0.15588298694361463, 0.010903352759932438, 0.06246052401463601, 0.24362886621624477, 0.13898045124970992, 0.09396107024214931, -0.22254599638914396, 0.028452003678722568, 0.061842528048687236] |
1,802.00836 | Inspirals into a charged black hole | We model the quasicircular inspiral of a compact object into a more massive
charged black hole. Extreme and intermediate mass-ratio inspirals are
considered through a small mass-ratio approximation.
Reissner-Nordstr$\ddot{\text{o}}$m spacetime is used to describe the charged
black hole. The effect of radiation reaction on the smaller body is quantified
through calculation of electromagnetic and gravitational energy fluxes via
solution of Einstein's and Maxwell's equations. Inspiral trajectories are
determined by matching the orbital energy decay rate to the rate of radiative
energy dissipation. We observe that inspirals into a charged black hole evolve
more rapidly than comparable inspirals into a neutral black hole. Through
analysis of a variety of inspiral configurations, we conclude that electric
charge is an important effect concerning gravitational wave observations when
the charge exceeds the threshold $|Q|/M \gtrsim 0.071 \sqrt{\epsilon}$, where
$\epsilon$ is the mass ratio.
| gr-qc | we model the quasicircular inspiral of a compact object into a more massive charged black hole extreme and intermediate massratio inspirals are considered through a small massratio approximation reissnernordstrddottextom spacetime is used to describe the charged black hole the effect of radiation reaction on the smaller body is quantified through calculation of electromagnetic and gravitational energy fluxes via solution of einsteins and maxwells equations inspiral trajectories are determined by matching the orbital energy decay rate to the rate of radiative energy dissipation we observe that inspirals into a charged black hole evolve more rapidly than comparable inspirals into a neutral black hole through analysis of a variety of inspiral configurations we conclude that electric charge is an important effect concerning gravitational wave observations when the charge exceeds the threshold qm gtrsim 0071 sqrtepsilon where epsilon is the mass ratio | [['we', 'model', 'the', 'quasicircular', 'inspiral', 'of', 'a', 'compact', 'object', 'into', 'a', 'more', 'massive', 'charged', 'black', 'hole', 'extreme', 'and', 'intermediate', 'massratio', 'inspirals', 'are', 'considered', 'through', 'a', 'small', 'massratio', 'approximation', 'reissnernordstrddottextom', 'spacetime', 'is', 'used', 'to', 'describe', 'the', 'charged', 'black', 'hole', 'the', 'effect', 'of', 'radiation', 'reaction', 'on', 'the', 'smaller', 'body', 'is', 'quantified', 'through', 'calculation', 'of', 'electromagnetic', 'and', 'gravitational', 'energy', 'fluxes', 'via', 'solution', 'of', 'einsteins', 'and', 'maxwells', 'equations', 'inspiral', 'trajectories', 'are', 'determined', 'by', 'matching', 'the', 'orbital', 'energy', 'decay', 'rate', 'to', 'the', 'rate', 'of', 'radiative', 'energy', 'dissipation', 'we', 'observe', 'that', 'inspirals', 'into', 'a', 'charged', 'black', 'hole', 'evolve', 'more', 'rapidly', 'than', 'comparable', 'inspirals', 'into', 'a', 'neutral', 'black', 'hole', 'through', 'analysis', 'of', 'a', 'variety', 'of', 'inspiral', 'configurations', 'we', 'conclude', 'that', 'electric', 'charge', 'is', 'an', 'important', 'effect', 'concerning', 'gravitational', 'wave', 'observations', 'when', 'the', 'charge', 'exceeds', 'the', 'threshold', 'qm', 'gtrsim', '0071', 'sqrtepsilon', 'where', 'epsilon', 'is', 'the', 'mass', 'ratio']] | [-0.17711811312708817, 0.1675970146036581, -0.039981741012826144, 0.1462472199115621, -0.05339019310412754, -0.0973079486284405, -0.00226551713924453, 0.2875986349695235, -0.11039689970504252, -0.3123498347272976, 0.019013737189322175, -0.3097566620265837, -0.05089234402939249, 0.23524345824304002, 0.022791648605208603, 0.033875145758468686, 0.08388009120328285, 0.014084973958783227, -0.10330131846537023, -0.15247508802906803, 0.34889503036208597, 0.10861391008483152, 0.1514704978267709, -0.011248350044605221, 0.10401149767471089, 0.015081066103893325, 0.022249864106126827, 0.014728226727410722, -0.15807426235148192, -0.006552554794299088, 0.20886449164731039, 0.14033887158281994, 0.22703391989599242, -0.4087085557109911, -0.19426160755235594, 0.0639884443484622, 0.15850843857344, 0.16743349864167703, -0.10507150781830847, -0.2845023041993058, 0.08343905172639078, -0.27604442920616207, -0.11574365231108001, -0.004632664710390482, 0.11044880988330935, 0.0004249251440917845, -0.2771057674339671, 0.13619127642470513, 0.047671541819523135, -0.12623448847380983, -0.1474076495740375, -0.0666281519836257, -0.06826818751157832, 0.05333474002005499, 0.15098379081091676, 0.0659135147008338, 0.26699509175172703, -0.10295607338964323, -0.0548029017313082, 0.3851071276949893, -0.06215473367858145, -0.20731159038033517, 0.13867917295424737, -0.26529609908771923, -0.05630521776436044, 0.2226287440376745, 0.217639759596665, 0.2235590795761899, -0.1439941754760832, 0.047034865069762545, 0.07144374951476101, 0.2045885325198417, 0.1324416694663492, 0.04941672171807761, 0.41087939338624585, 0.1598460366530679, -0.012453629708976196, 0.1155973264056412, -0.1156495305920596, -0.07745511455983996, -0.2541381380648064, -0.11778377377086406, -0.15582160015587138, 0.16894733536979703, -0.18811820841121332, -0.148632616042528, 0.2874027561637566, 0.08932333711615141, 0.16298973455140703, 0.0031924697825108928, 0.313087718943201, 0.13485482424202797, 0.00765168091630657, 0.09163925055709245, 0.3783810430125957, 0.14106665204594032, 0.09229631198020719, -0.26617558633744476, -0.031782238437666845, 0.09966266658927629] |
1,802.00837 | Shot noise as a probe of spin-correlated transport through single atoms | We address the shot noise in the tunneling current through a localized spin,
pertaining to recent experiments on magnetic adatoms and single molecular
magnets. We show that both uncorrelated and spin-correlated scattering
processes contribute vitally to the noise spectrum. The spin-correlated
scattering processes provide an additional contribution to the
Landauer-B\"uttiker shot noise expression, accounting for correlations between
the tunneling electrons and the localized spin moment. By calculating the Fano
factor, we show that both super- and sub-Poissonian shot noise can be described
within our approach. Our theory provides transparent insights to noise
spectroscopy, consistent with recent experiments using local probing techniques
on magnetic atoms.
| cond-mat.mes-hall cond-mat.other cond-mat.stat-mech | we address the shot noise in the tunneling current through a localized spin pertaining to recent experiments on magnetic adatoms and single molecular magnets we show that both uncorrelated and spincorrelated scattering processes contribute vitally to the noise spectrum the spincorrelated scattering processes provide an additional contribution to the landauerbuttiker shot noise expression accounting for correlations between the tunneling electrons and the localized spin moment by calculating the fano factor we show that both super and subpoissonian shot noise can be described within our approach our theory provides transparent insights to noise spectroscopy consistent with recent experiments using local probing techniques on magnetic atoms | [['we', 'address', 'the', 'shot', 'noise', 'in', 'the', 'tunneling', 'current', 'through', 'a', 'localized', 'spin', 'pertaining', 'to', 'recent', 'experiments', 'on', 'magnetic', 'adatoms', 'and', 'single', 'molecular', 'magnets', 'we', 'show', 'that', 'both', 'uncorrelated', 'and', 'spincorrelated', 'scattering', 'processes', 'contribute', 'vitally', 'to', 'the', 'noise', 'spectrum', 'the', 'spincorrelated', 'scattering', 'processes', 'provide', 'an', 'additional', 'contribution', 'to', 'the', 'landauerbuttiker', 'shot', 'noise', 'expression', 'accounting', 'for', 'correlations', 'between', 'the', 'tunneling', 'electrons', 'and', 'the', 'localized', 'spin', 'moment', 'by', 'calculating', 'the', 'fano', 'factor', 'we', 'show', 'that', 'both', 'super', 'and', 'subpoissonian', 'shot', 'noise', 'can', 'be', 'described', 'within', 'our', 'approach', 'our', 'theory', 'provides', 'transparent', 'insights', 'to', 'noise', 'spectroscopy', 'consistent', 'with', 'recent', 'experiments', 'using', 'local', 'probing', 'techniques', 'on', 'magnetic', 'atoms']] | [-0.10228552990324366, 0.15174438513475672, -0.05896071533565051, 0.10855074426105532, 0.027171595899674755, -0.13765904173040047, 0.06668063063709549, 0.3879999839879859, -0.26722364408823734, -0.28218034833956224, -0.02012183022116705, -0.340209275466175, -0.16653791853996852, 0.21491800300114286, -0.0020998691123587866, -0.0004919648815232974, 0.027603520987143453, -0.05239166978655983, -0.027348442865052044, -0.2147067911461748, 0.3032065074613246, 0.08420291784344815, 0.31433120792588365, 0.11143197355648646, 0.0796706486099328, 0.06586844573030248, -0.011214498181988556, 0.011993077691071309, -0.09124397125183001, 0.09528033269900614, 0.2127772499605691, -0.02381467293553914, 0.1566984760754097, -0.5073707946934379, -0.22252178063186315, 0.019419905031099916, 0.14940176339139447, 0.1829525584426637, -0.07157461382359123, -0.33669800565201935, -0.013571595881680528, -0.11120104177210194, -0.0907202648724286, -0.17796720078779169, -0.04345719124942731, 0.007937637363703778, -0.3011892779300419, 0.13994032029922193, 0.08137318095228133, 0.012000430840998888, -0.041126299085310444, -0.1082220563145641, 0.026384951157244638, 0.10323386796517298, 0.007226764099099315, 0.016468553100891698, 0.22652883866640666, -0.1517278124542477, -0.16497799939959526, 0.2756900574184748, -0.11699675394069906, -0.1610257892014208, 0.1718769657264392, -0.21723425502512747, -0.0926968504690404, 0.16663034211915845, 0.12147053650831087, 0.0790287658231906, -0.18910501462456664, 0.05207800355191676, 0.02878354527414418, 0.17262953641385628, 0.04303986520748227, 0.1117212996334554, 0.2252701819748976, 0.20198612995535278, 0.03134856312401378, 0.11524008755245282, -0.18963751705954424, -0.053333186553432964, -0.25510108177191937, -0.08837984611790699, -0.21177809912926301, 0.1131210612724177, -0.046238460546122115, -0.12241944477248651, 0.3867019618449446, 0.21079927273184204, 0.19918455122611844, -0.024804944530702554, 0.34982747656221574, 0.1676336090598712, 0.011532715745628454, 0.014186929311388386, 0.21744751422151098, 0.1882036706598368, 0.06361328668740149, -0.2941445216005937, 0.023796238171948623, -0.053323038356701054] |
1,802.00838 | Nonequilibrium Kondo-vs-RKKY Scenarios in Nanoclusters | Ultrafast manipulations of magnetic phases are eliciting increasing attention
from the scientific community, because potentially relevant to the
understanding of nonequilibrium phase transitions and to novel technologies.
Here, we focus on manipulations applied to magnetic impurities in metallic
hosts. By considering small nanoring geometries, we show how currents can
induce a dynamical switching between different types of exchange interactions
in these systems. Our work thus opens a study window on nonequilibrium
Doniach's magnetic phase diagrams, and time-dependent Kondo-vs-RKKY scenarios.
| cond-mat.str-el | ultrafast manipulations of magnetic phases are eliciting increasing attention from the scientific community because potentially relevant to the understanding of nonequilibrium phase transitions and to novel technologies here we focus on manipulations applied to magnetic impurities in metallic hosts by considering small nanoring geometries we show how currents can induce a dynamical switching between different types of exchange interactions in these systems our work thus opens a study window on nonequilibrium doniachs magnetic phase diagrams and timedependent kondovsrkky scenarios | [['ultrafast', 'manipulations', 'of', 'magnetic', 'phases', 'are', 'eliciting', 'increasing', 'attention', 'from', 'the', 'scientific', 'community', 'because', 'potentially', 'relevant', 'to', 'the', 'understanding', 'of', 'nonequilibrium', 'phase', 'transitions', 'and', 'to', 'novel', 'technologies', 'here', 'we', 'focus', 'on', 'manipulations', 'applied', 'to', 'magnetic', 'impurities', 'in', 'metallic', 'hosts', 'by', 'considering', 'small', 'nanoring', 'geometries', 'we', 'show', 'how', 'currents', 'can', 'induce', 'a', 'dynamical', 'switching', 'between', 'different', 'types', 'of', 'exchange', 'interactions', 'in', 'these', 'systems', 'our', 'work', 'thus', 'opens', 'a', 'study', 'window', 'on', 'nonequilibrium', 'doniachs', 'magnetic', 'phase', 'diagrams', 'and', 'timedependent', 'kondovsrkky', 'scenarios']] | [-0.18561982546144953, 0.23431631358555302, -0.04066930961189195, 0.054455394086499624, -0.05790524688274719, -0.1372110131987705, 0.10907399637373881, 0.41948474913787764, -0.25847715019391704, -0.33833701551581424, 0.016601096310366232, -0.25128629671720165, -0.2040713027265902, 0.22338773316452995, 0.005109007598665089, -0.01512285340784449, 0.008535165154637817, -0.08748298967018342, -0.09797092227605529, -0.1628239729011861, 0.31806021977144366, -0.02475747659403938, 0.3215222914333049, 0.1027483441747534, -0.00402719562407583, -0.005835210429862714, 0.021658196102063626, 0.02948032130743974, -0.14600074065562624, 0.07330096118414822, 0.26254907238464326, 0.019815639795687717, 0.23280324507504702, -0.5080210434702727, -0.25226798105555087, 0.06645474067101112, 0.14389421783375722, 0.18212959471230322, -0.09531142408899868, -0.3306246610024037, 0.0021136917639523745, -0.14740016293198538, -0.09306895608106294, -0.18171591717654315, 0.019802219783648465, 0.040550799219486997, -0.22985077486970487, 0.03157213559517494, 0.03444754671811377, 0.07231838028364553, -0.06333069110480256, -0.04889252355011801, -0.018163826597185854, 0.14058580743865326, 0.028545289067551494, 0.009756665064905507, 0.19733601332140657, -0.16098198987758502, -0.151082839195927, 0.34352890292230326, 0.0028185752915958753, -0.12090884760404244, 0.24020899863889775, -0.15853206079042045, -0.1322036786363102, 0.12239320506938757, 0.2264989537309306, 0.12942432082043245, -0.1783882861312192, 0.03975033750966526, 0.07368223932094108, 0.14385233968138122, 0.016404197837870855, 0.0754565418465063, 0.3121398677452443, 0.1986114775451521, 0.019391231746293414, 0.18678194960692707, -0.06361396552827688, -0.12543285736897722, -0.20265562991157937, -0.11306060798084125, -0.15452932318051657, 0.05786317546582536, -0.032454533358806006, -0.15901791545538566, 0.43033708197375137, 0.21886395441983134, 0.13988803790468807, -0.08032994211997646, 0.2830664411855814, 0.05192943239877096, 0.06794927454887865, -0.016764879847566288, 0.22273486665187356, 0.14583281070913356, 0.12063670631211537, -0.25743860661541706, 0.07605948898260696, -0.0016023626742072594] |
1,802.00839 | Entropic bounds between two thermal equilibrium states | The positivity conditions of the relative entropy between two thermal
equilibrium states $\hat{\rho}_1$ and $\hat{\rho}_2$ are used to obtain upper
and lower bounds for the subtraction of their entropies, the Helmholtz
potential and the Gibbs potential of the two systems. These limits are
expressed in terms of the mean values of the Hamiltonians, number operator, and
temperature of the different systems. In particular, we discuss these limits
for molecules which can be represented in terms of the Franck--Condon
coefficients. We emphasize the case where the Hamiltonians belong to the same
system at two different times $t$ and $t'$. Finally, these bounds are obtained
for a general qubit system and for the harmonic oscillator with a time
dependent frequency at two different times.
| quant-ph | the positivity conditions of the relative entropy between two thermal equilibrium states hatrho_1 and hatrho_2 are used to obtain upper and lower bounds for the subtraction of their entropies the helmholtz potential and the gibbs potential of the two systems these limits are expressed in terms of the mean values of the hamiltonians number operator and temperature of the different systems in particular we discuss these limits for molecules which can be represented in terms of the franckcondon coefficients we emphasize the case where the hamiltonians belong to the same system at two different times t and t finally these bounds are obtained for a general qubit system and for the harmonic oscillator with a time dependent frequency at two different times | [['the', 'positivity', 'conditions', 'of', 'the', 'relative', 'entropy', 'between', 'two', 'thermal', 'equilibrium', 'states', 'hatrho_1', 'and', 'hatrho_2', 'are', 'used', 'to', 'obtain', 'upper', 'and', 'lower', 'bounds', 'for', 'the', 'subtraction', 'of', 'their', 'entropies', 'the', 'helmholtz', 'potential', 'and', 'the', 'gibbs', 'potential', 'of', 'the', 'two', 'systems', 'these', 'limits', 'are', 'expressed', 'in', 'terms', 'of', 'the', 'mean', 'values', 'of', 'the', 'hamiltonians', 'number', 'operator', 'and', 'temperature', 'of', 'the', 'different', 'systems', 'in', 'particular', 'we', 'discuss', 'these', 'limits', 'for', 'molecules', 'which', 'can', 'be', 'represented', 'in', 'terms', 'of', 'the', 'franckcondon', 'coefficients', 'we', 'emphasize', 'the', 'case', 'where', 'the', 'hamiltonians', 'belong', 'to', 'the', 'same', 'system', 'at', 'two', 'different', 'times', 't', 'and', 't', 'finally', 'these', 'bounds', 'are', 'obtained', 'for', 'a', 'general', 'qubit', 'system', 'and', 'for', 'the', 'harmonic', 'oscillator', 'with', 'a', 'time', 'dependent', 'frequency', 'at', 'two', 'different', 'times']] | [-0.13800103062015698, 0.17144316302032256, -0.042675284168789865, 0.04950085405993168, 0.052465515545202936, -0.12524682516232133, 0.04046058056295895, 0.3368348182545456, -0.24361666091946793, -0.2963590406751657, 0.1098700704818332, -0.2731807893829145, -0.06716411979869008, 0.23351511601969355, 0.004154469361757768, 0.07509976498256381, 0.01620552612880825, 0.08489634541290828, -0.10514621005286692, -0.2295916572396384, 0.3307258181854105, -0.006256556811124148, 0.22715364756123696, 0.09275354921233794, 0.0854889897507478, -0.04785203602236312, 0.026201206366302538, -0.0027258769135738983, -0.13691458148790187, 0.12946767542753598, 0.22720715099063962, 0.06469890467830186, 0.2065124487977658, -0.42247109392993765, -0.16685742564255096, 0.1442753632293373, 0.10413029704617001, 0.10020790857045346, 0.04316886446484532, -0.2596451989584984, 0.03728172862444256, -0.1446034846384628, -0.10405970579891115, -0.07510021174723497, 0.016644671681474467, 0.07682564245445318, -0.28051155662835864, 0.10584169960596033, 0.054095688793480444, 0.04072649727912322, -0.10388214768246427, -0.17478190410069236, -0.033554987481902124, 0.15123497051536106, 0.023173284014595338, -0.04357052804734252, 0.11892894368817206, -0.11472479375480048, -0.09418328801269231, 0.3617573421692751, -0.09627987739685388, -0.22585886865701588, 0.2168317702446194, -0.16268062602240044, -0.11628628241615828, 0.05828730620207173, 0.15967614837677874, 0.1335522334098999, -0.156248504146132, 0.08151235826576861, 0.026710100735339228, 0.09532922274074287, 0.0950373152202209, 0.11263215609637212, 0.17427666578441858, 0.04936869977019177, 0.07081339556006257, 0.15523166758233498, -0.059461887727384685, -0.11556968828815906, -0.3317754246050217, -0.15498546217033854, -0.19244641945010327, 0.0056824320850924395, -0.13561461844837452, -0.1271884587467419, 0.4128190166561208, 0.1290041831337282, 0.22081854058521205, 0.07772383177519364, 0.23185240671221838, 0.22296761954966626, 0.018928628466397403, 0.06389701786283099, 0.24051976414611104, 0.13874029623894174, 0.0695249561495224, -0.2461584668117957, 0.011884720944494132, 0.07618515963711944] |
1,802.0084 | Preserved Structure Across Vector Space Representations | Certain concepts, words, and images are intuitively more similar than others
(dog vs. cat, dog vs. spoon), though quantifying such similarity is notoriously
difficult. Indeed, this kind of computation is likely a critical part of
learning the category boundaries for words within a given language. Here, we
use a set of 27 items (e.g. 'dog') that are highly common in infants' input,
and use both image- and word-based algorithms to independently compute
similarity among them. We find three key results. First, the pairwise item
similarities derived within image-space and word-space are correlated,
suggesting preserved structure among these extremely different representational
formats. Second, the closest 'neighbors' for each item, within each space,
showed significant overlap (e.g. both found 'egg' as a neighbor of 'apple').
Third, items with the most overlapping neighbors are later-learned by infants
and toddlers. We conclude that this approach, which does not rely on human
ratings of similarity, may nevertheless reflect stable within-class structure
across these two spaces. We speculate that such invariance might aid lexical
acquisition, by serving as an informative marker of category boundaries.
| q-bio.NC cs.CL | certain concepts words and images are intuitively more similar than others dog vs cat dog vs spoon though quantifying such similarity is notoriously difficult indeed this kind of computation is likely a critical part of learning the category boundaries for words within a given language here we use a set of 27 items eg dog that are highly common in infants input and use both image and wordbased algorithms to independently compute similarity among them we find three key results first the pairwise item similarities derived within imagespace and wordspace are correlated suggesting preserved structure among these extremely different representational formats second the closest neighbors for each item within each space showed significant overlap eg both found egg as a neighbor of apple third items with the most overlapping neighbors are laterlearned by infants and toddlers we conclude that this approach which does not rely on human ratings of similarity may nevertheless reflect stable withinclass structure across these two spaces we speculate that such invariance might aid lexical acquisition by serving as an informative marker of category boundaries | [['certain', 'concepts', 'words', 'and', 'images', 'are', 'intuitively', 'more', 'similar', 'than', 'others', 'dog', 'vs', 'cat', 'dog', 'vs', 'spoon', 'though', 'quantifying', 'such', 'similarity', 'is', 'notoriously', 'difficult', 'indeed', 'this', 'kind', 'of', 'computation', 'is', 'likely', 'a', 'critical', 'part', 'of', 'learning', 'the', 'category', 'boundaries', 'for', 'words', 'within', 'a', 'given', 'language', 'here', 'we', 'use', 'a', 'set', 'of', '27', 'items', 'eg', 'dog', 'that', 'are', 'highly', 'common', 'in', 'infants', 'input', 'and', 'use', 'both', 'image', 'and', 'wordbased', 'algorithms', 'to', 'independently', 'compute', 'similarity', 'among', 'them', 'we', 'find', 'three', 'key', 'results', 'first', 'the', 'pairwise', 'item', 'similarities', 'derived', 'within', 'imagespace', 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0.15360114588772625, 0.055351021136712836] |
1,802.00841 | Stabilization of Starobinsky-Vilenkin stochastic inflation by an
environmental noise | We discuss the inflaton $\phi$ in an interaction with an infinite number of
fields treated as an environment (noise) with a friction $\gamma^{2}>0$. In a
Markovian approximation we obtain a stochastic wave equation (appearing also in
the warm inflation models). After the replacement of the environment by the
white noise, the stochastic wave equation violates the energy conservation if
$\gamma\neq 0$. We introduce a dark energy as a compensation of the inflaton
energy-momentum. We add to the classical wave equation the Starobinsky-Vilenkin
noise which in the slow-roll approximation describes the quantum fluctuations
in an expanding metric. We investigate the resulting consistent
Einstein-Klein-Gordon system in the slow-roll regime. We obtain Fokker-Planck
equation for the probability distribution of the inflaton assuming that the
dependence of the scale factor $a$ and the Hubble variable $ H$ on the field
$\phi$ is known. We obtain explicit stationary solutions of the Fokker-Planck
equation assuming that $a(\phi)$ and $H(\phi)$ can approximately be determined
in a slow-roll regime with the neglect of noise. We extend the results to the
multifield D-dimensional configuration space. We show that in the regime
$a(\phi)^{3}H(\phi)^{5}\rightarrow \infty$ the quantum noise determines the
asymptotic behaviour of the stationary distribution. If
$a(\phi)^{3}H(\phi)^{5}$ stays finite then the environmental noise ensures the
integrability of the stationary probability. In such a case there is no need to
introduce boundary conditions with the purpose to eliminate infinite inflation.
The variation of $a(\phi)^{3}H(\phi)^{5}$ could be interpreted as a sign of a
transition from cold inflation to warm inflation.
| gr-qc hep-th | we discuss the inflaton phi in an interaction with an infinite number of fields treated as an environment noise with a friction gamma20 in a markovian approximation we obtain a stochastic wave equation appearing also in the warm inflation models after the replacement of the environment by the white noise the stochastic wave equation violates the energy conservation if gammaneq 0 we introduce a dark energy as a compensation of the inflaton energymomentum we add to the classical wave equation the starobinskyvilenkin noise which in the slowroll approximation describes the quantum fluctuations in an expanding metric we investigate the resulting consistent einsteinkleingordon system in the slowroll regime we obtain fokkerplanck equation for the probability distribution of the inflaton assuming that the dependence of the scale factor a and the hubble variable h on the field phi is known we obtain explicit stationary solutions of the fokkerplanck equation assuming that aphi and hphi can approximately be determined in a slowroll regime with the neglect of noise we extend the results to the multifield ddimensional configuration space we show that in the regime aphi3hphi5rightarrow infty the quantum noise determines the asymptotic behaviour of the stationary distribution if aphi3hphi5 stays finite then the environmental noise ensures the integrability of the stationary probability in such a case there is no need to introduce boundary conditions with the purpose to eliminate infinite inflation the variation of aphi3hphi5 could be interpreted as a sign of a transition from cold inflation to warm inflation | [['we', 'discuss', 'the', 'inflaton', 'phi', 'in', 'an', 'interaction', 'with', 'an', 'infinite', 'number', 'of', 'fields', 'treated', 'as', 'an', 'environment', 'noise', 'with', 'a', 'friction', 'gamma20', 'in', 'a', 'markovian', 'approximation', 'we', 'obtain', 'a', 'stochastic', 'wave', 'equation', 'appearing', 'also', 'in', 'the', 'warm', 'inflation', 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1,802.00842 | Voting patterns in 2016: Exploration using multilevel regression and
poststratification (MRP) on pre-election polls | We analyzed 2012 and 2016 YouGov pre-election polls in order to understand
how different population groups voted in the 2012 and 2016 elections. We broke
the data down by demographics and state. We display our findings with a series
of graphs and maps. The R code associated with this project is available at
https://github.com/rtrangucci/mrp_2016_election/.
| stat.AP econ.EM | we analyzed 2012 and 2016 yougov preelection polls in order to understand how different population groups voted in the 2012 and 2016 elections we broke the data down by demographics and state we display our findings with a series of graphs and maps the r code associated with this project is available at httpsgithubcomrtranguccimrp_2016_election | [['we', 'analyzed', '2012', 'and', '2016', 'yougov', 'preelection', 'polls', 'in', 'order', 'to', 'understand', 'how', 'different', 'population', 'groups', 'voted', 'in', 'the', '2012', 'and', '2016', 'elections', 'we', 'broke', 'the', 'data', 'down', 'by', 'demographics', 'and', 'state', 'we', 'display', 'our', 'findings', 'with', 'a', 'series', 'of', 'graphs', 'and', 'maps', 'the', 'r', 'code', 'associated', 'with', 'this', 'project', 'is', 'available', 'at', 'httpsgithubcomrtranguccimrp_2016_election']] | [-0.05311838333617966, 0.05083124332551686, -0.10764291015330632, 0.0655876354331959, -0.06234218199508933, -0.08299912339216976, 0.10642168368652181, 0.4002672807787949, -0.202414710585353, -0.3992585576016386, 0.16201059079623586, -0.35614468087002915, -0.11934835231041466, 0.1438377852807533, -0.10182566258354543, -0.009141970355555697, 0.07554566679206097, -0.024555907672587432, 0.0354367875371058, -0.3632335300262982, 0.29209456120108096, 0.10614518244873802, 0.24416334016846036, 0.003900584378191885, 0.0646774107348701, -0.012184714178009978, -0.0813176546483037, 0.01000339998248613, -0.17984266144021432, 0.08417626801561916, 0.2830025005101595, 0.15356076935763066, 0.26017786968358847, -0.3771849124393654, -0.10662816584391414, 0.0667286191996679, 0.04049402672164845, 0.09613498794090636, -0.0024904810542346173, -0.3353213665760913, 0.03078403937155908, -0.21940456353619975, -0.09082846569319097, -0.04727785272154746, 0.07208440605691581, 0.0115643288547015, -0.22051563112609932, 0.06389348256349, 0.02744161726397304, 0.09229797158249707, -0.021653995155093243, -0.08650269563735973, -0.04651455382183897, 0.20486097455130153, 0.022319224482964514, 0.034147590091276284, 0.06884642489219331, -0.08273838599704487, -0.17873494341126028, 0.34026992503764497, -0.05116642187876662, -0.04073474170060231, 0.23055164667092404, -0.1926994555770367, -0.1803372255921856, 0.03259612669078809, 0.25193002366654155, 0.0756864179242051, -0.12184623692114398, 0.037691905554208274, -0.06091798902137802, 0.17564594392436292, 0.027486841106471024, -0.09135362058702223, 0.17628700190381902, 0.11440247212940792, -0.039765070605460764, 0.1284732822469383, -0.0723818979887204, -0.05929473323642083, -0.24409377982593933, -0.10209301602587385, -0.12237386697165246, 0.003957457032124951, -0.01001556398333841, -0.04510255432402153, 0.4422119930386543, 0.1850133940296353, 0.1967313996155665, 0.03408097456437799, 0.17433395777951996, 0.015702079254518844, 0.03439811480073434, 0.1813532321292134, 0.1705072232574787, 0.055557299162621414, 0.1579373855635805, -0.16516838160361041, 0.05285570839911981, -0.012357053223927066] |
1,802.00843 | Uniform a priori estimates for positive solutions of the Lane-Emden
equation in the plane | We prove that positive solutions of the Lane-Emden equation in a
two-dimensional smooth bounded domain are uniformly bounded for all large
exponents.
| math.AP | we prove that positive solutions of the laneemden equation in a twodimensional smooth bounded domain are uniformly bounded for all large exponents | [['we', 'prove', 'that', 'positive', 'solutions', 'of', 'the', 'laneemden', 'equation', 'in', 'a', 'twodimensional', 'smooth', 'bounded', 'domain', 'are', 'uniformly', 'bounded', 'for', 'all', 'large', 'exponents']] | [-0.19558234927667814, 0.12731257440860977, -0.012875197582285513, 0.023237372960217974, -0.0918467572085898, -0.1908083679789508, -0.08729477633129466, 0.2711486727348529, -0.34046740423549304, -0.09444580371068283, 0.15721349502299828, -0.3421600273048336, -0.12063201144337654, 0.22924322025342422, -0.0514818904498084, 0.177938204893673, 0.02728000016544353, -0.007575786926529624, -0.08236406154041602, -0.24025856322524222, 0.4198234894058921, -0.27529261261224747, 0.17232622866603461, 0.10836433915590699, 0.12393437325954437, -0.1392466832925989, 0.058889487673613156, 0.08718884169039401, -0.24373656254300097, 0.05162002345208417, 0.2778324615210295, 0.04657641555902294, 0.3128314187580889, -0.376118040220304, -0.23622626912864772, 0.2154766417701136, 0.18928564608689735, 0.06064493865282698, -0.10599994948874651, -0.2766627385704355, 0.250295309222896, -0.08986681293357503, -0.25613420824943617, -0.06615171403708783, 0.07836927117949183, 0.1871294811029326, -0.3219623826444149, 0.12394686411558227, 0.14386750656095418, 0.04359965547072617, -0.2683768673503602, -0.09839751821180637, -0.017427139153534717, 0.09279001252302392, -0.024874443442306736, 0.057484068669675085, -0.013492501912299882, -0.12440648069605231, -0.03783394582569599, 0.30547168241305783, -0.12235301326621663, -0.38003882156177, 0.10450070605359295, -0.2605682528493079, -0.06352804408578033, 0.11928510039367458, 0.17547948385419493, 0.24284125221046535, -0.09500116406177933, 0.24662043797698888, -0.10901911218057979, 0.1853026534346017, 0.11758529020219365, -0.05862944655713032, 0.07224501246078448, 0.03414881724694913, 0.20000300111926414, 0.15562092555178839, 0.06792278689416972, -0.16220392494208433, -0.39232700589028274, -0.1175893599760126, -0.23541743740629914, 0.12593917751854117, -0.1875795032617382, -0.28034445440227335, 0.3458502966571938, 0.017493494341827252, 0.18853004928678274, 0.21517904712395233, 0.16571823304349725, 0.18663175031542778, -0.049493137577717956, 0.18179823688908733, 0.14088780239266765, 0.08198252286423337, 0.11916687889871272, -0.1531640432288193, -0.00050705190832642, 0.13854881037762176] |
1,802.00844 | Intriguing Properties of Randomly Weighted Networks: Generalizing While
Learning Next to Nothing | Training deep neural networks results in strong learned representations that
show good generalization capabilities. In most cases, training involves
iterative modification of all weights inside the network via back-propagation.
In Extreme Learning Machines, it has been suggested to set the first layer of a
network to fixed random values instead of learning it. In this paper, we
propose to take this approach a step further and fix almost all layers of a
deep convolutional neural network, allowing only a small portion of the weights
to be learned. As our experiments show, fixing even the majority of the
parameters of the network often results in performance which is on par with the
performance of learning all of them. The implications of this intriguing
property of deep neural networks are discussed and we suggest ways to harness
it to create more robust representations.
| cs.LG cs.AI cs.CV | training deep neural networks results in strong learned representations that show good generalization capabilities in most cases training involves iterative modification of all weights inside the network via backpropagation in extreme learning machines it has been suggested to set the first layer of a network to fixed random values instead of learning it in this paper we propose to take this approach a step further and fix almost all layers of a deep convolutional neural network allowing only a small portion of the weights to be learned as our experiments show fixing even the majority of the parameters of the network often results in performance which is on par with the performance of learning all of them the implications of this intriguing property of deep neural networks are discussed and we suggest ways to harness it to create more robust representations | [['training', 'deep', 'neural', 'networks', 'results', 'in', 'strong', 'learned', 'representations', 'that', 'show', 'good', 'generalization', 'capabilities', 'in', 'most', 'cases', 'training', 'involves', 'iterative', 'modification', 'of', 'all', 'weights', 'inside', 'the', 'network', 'via', 'backpropagation', 'in', 'extreme', 'learning', 'machines', 'it', 'has', 'been', 'suggested', 'to', 'set', 'the', 'first', 'layer', 'of', 'a', 'network', 'to', 'fixed', 'random', 'values', 'instead', 'of', 'learning', 'it', 'in', 'this', 'paper', 'we', 'propose', 'to', 'take', 'this', 'approach', 'a', 'step', 'further', 'and', 'fix', 'almost', 'all', 'layers', 'of', 'a', 'deep', 'convolutional', 'neural', 'network', 'allowing', 'only', 'a', 'small', 'portion', 'of', 'the', 'weights', 'to', 'be', 'learned', 'as', 'our', 'experiments', 'show', 'fixing', 'even', 'the', 'majority', 'of', 'the', 'parameters', 'of', 'the', 'network', 'often', 'results', 'in', 'performance', 'which', 'is', 'on', 'par', 'with', 'the', 'performance', 'of', 'learning', 'all', 'of', 'them', 'the', 'implications', 'of', 'this', 'intriguing', 'property', 'of', 'deep', 'neural', 'networks', 'are', 'discussed', 'and', 'we', 'suggest', 'ways', 'to', 'harness', 'it', 'to', 'create', 'more', 'robust', 'representations']] | [-0.06619915453608129, 0.025606993599035215, -0.06255900797744592, 0.0358177731028289, -0.11066986521844693, -0.15322384589635735, 0.053140738111233723, 0.45475889412118187, -0.29934138001573557, -0.2938270506891587, 0.046347736702168504, -0.23038384882264262, -0.25796465638278593, 0.18831843507628068, -0.10118469030510449, 0.08702595665704554, 0.14450620600279976, 0.04739465950889156, -0.058770088934676445, -0.3301377523119119, 0.3288042896380978, 0.060038140143725216, 0.3132549760110201, 0.005074561477790699, 0.12938906852913862, -0.04297324810639447, 0.011390987387362947, -0.0041517488127463895, -0.030370783181590647, 0.17999493485937515, 0.29678851454551763, 0.15598377617280798, 0.3597041773081407, -0.43524394008324396, -0.2546415380829721, 0.1359410425317837, 0.14181771004367752, 0.12146660296579968, -0.0012497003715533223, -0.2865569075397777, 0.13994716630764767, -0.17055938351265293, -0.018275635089091163, -0.15594902104229158, -0.037937994643464576, -0.005502360486524536, -0.28328395222729824, -0.031316739531788734, 0.10536625523430605, 0.01693251353066418, -0.038260920072331076, -0.12604981823659217, 0.012651717039287512, 0.15042820290814266, 0.03862142212629477, 0.052147560898241, 0.10287769929446439, -0.21221255490074184, -0.10829204346419886, 0.32467028957045246, -0.0415335437142561, -0.19234050680876624, 0.1940638417120468, -0.0500067823916568, -0.1777466509378918, 0.0742912436736391, 0.22979775843943687, 0.10451247654723149, -0.14996675090659542, 0.0028696738188452226, -0.06775831252316687, 0.147960516338481, 0.0397304567270615, 0.015456853820843266, 0.16152723799690816, 0.25658610599868475, 0.03561894920925405, 0.14897795328259442, -0.10096831195711171, -0.07395170840223365, -0.2417861602321954, -0.11395631241447009, -0.2054715111252277, 0.008370493390062388, -0.10819704436960445, -0.1588693647282132, 0.40843468914733183, 0.22052866242931668, 0.27864693943245983, 0.1298367797755405, 0.30220350938855756, 0.0397602688705471, 0.17423707048626655, 0.12344887936223589, 0.2435772070225249, 0.07057212062959448, 0.10671524819257465, -0.13997440592795346, 0.09568526699201119, 0.0465120474778195] |
1,802.00845 | Periodic orbits in Large Eddy Simulation of Box Turbulence | We describe and compare two time-periodic flows embedded in Large Eddy
Simulation (LES) of turbulence in a three-dimensional, periodic domain subject
to constant external forcing. One of these flows models the regeneration of
large-scale structures that was observed in this geometry by Yasuda et al.
({\sl Fluid Dyn. Res.} {\bf 46}, 061413, 2014), who used a smaller LES filter
length and thus obtained a greater separation of scales of coherent motion. We
speculate on the feasibility of modelling the regenerative dynamics with
time-periodic solutions in such a flow, which may require novel techniques to
deal with the extreme ill-conditioning of the associated boundary value
problems.
| physics.flu-dyn | we describe and compare two timeperiodic flows embedded in large eddy simulation les of turbulence in a threedimensional periodic domain subject to constant external forcing one of these flows models the regeneration of largescale structures that was observed in this geometry by yasuda et al sl fluid dyn res bf 46 061413 2014 who used a smaller les filter length and thus obtained a greater separation of scales of coherent motion we speculate on the feasibility of modelling the regenerative dynamics with timeperiodic solutions in such a flow which may require novel techniques to deal with the extreme illconditioning of the associated boundary value problems | [['we', 'describe', 'and', 'compare', 'two', 'timeperiodic', 'flows', 'embedded', 'in', 'large', 'eddy', 'simulation', 'les', 'of', 'turbulence', 'in', 'a', 'threedimensional', 'periodic', 'domain', 'subject', 'to', 'constant', 'external', 'forcing', 'one', 'of', 'these', 'flows', 'models', 'the', 'regeneration', 'of', 'largescale', 'structures', 'that', 'was', 'observed', 'in', 'this', 'geometry', 'by', 'yasuda', 'et', 'al', 'sl', 'fluid', 'dyn', 'res', 'bf', '46', '061413', '2014', 'who', 'used', 'a', 'smaller', 'les', 'filter', 'length', 'and', 'thus', 'obtained', 'a', 'greater', 'separation', 'of', 'scales', 'of', 'coherent', 'motion', 'we', 'speculate', 'on', 'the', 'feasibility', 'of', 'modelling', 'the', 'regenerative', 'dynamics', 'with', 'timeperiodic', 'solutions', 'in', 'such', 'a', 'flow', 'which', 'may', 'require', 'novel', 'techniques', 'to', 'deal', 'with', 'the', 'extreme', 'illconditioning', 'of', 'the', 'associated', 'boundary', 'value', 'problems']] | [-0.18279791485446578, 0.11717733646778819, -0.06363267893902957, 0.033519931745384104, -0.057933085136867776, -0.09357205332847886, -0.028378364014385555, 0.29980966029688716, -0.2815610692890074, -0.33057534018567264, 0.11736307315564212, -0.21014998726884818, -0.14173562992632818, 0.20988654377064309, -0.09217365256000239, 0.08653675145111404, 0.059823301302878044, -0.07263874480178437, 0.013351672411842559, -0.18578003076926017, 0.28664118393610877, 0.06832393159017486, 0.2743895359140319, -0.018307223539942734, 0.1086515095174456, -0.04580255314403285, -0.06104109553136648, 0.060493693626575314, -0.1931805887124238, 0.09924369887001096, 0.21326117026956126, 0.04321954869933856, 0.29404067079975416, -0.4636604548431933, -0.2719857290805801, 0.04624645673454954, 0.11357934906426145, 0.09917510474042501, -0.006656542758439452, -0.26783871312195867, 0.09974292773628034, -0.1626107870699623, -0.12480485457658338, -0.030582161579961673, 0.0507684796779918, 0.05542807641904801, -0.2953267141084115, 0.12227648579014036, 0.06209103288039422, 0.08393639753921889, -0.07636842891896287, -0.07445723112994948, -0.04061301897253053, 0.06629145891369823, 0.031149041171794616, 0.015726213034493133, 0.09926975806592964, -0.13422064930245353, -0.13445600434743726, 0.3459498488272612, -0.06340507897906579, -0.21645934535011363, 0.26711306606347746, -0.10541741705338399, -0.09201817698955822, 0.15932439027640682, 0.23159091047888908, 0.10825778416340025, -0.08075413680769718, 0.06693631917341218, -0.04485228634551346, 0.16901752612410256, 0.0823210988243003, -0.06802599847119731, 0.17481316219513807, 0.12602413926595965, 0.0587296721059829, 0.09887761153424016, -0.08852207019887058, -0.11916466454847698, -0.2684363630474903, -0.11550096211990771, -0.15195072359683065, 0.0772906877548219, -0.05831681211594304, -0.20116576864025915, 0.3449832517698479, 0.1817978754507539, 0.19553096760780767, -0.017454511213984985, 0.24399048593701222, 0.08322113835870718, 0.018728705854020797, 0.13293029174495202, 0.2217652639474881, 0.13209092079397614, 0.17138577894701695, -0.2347072755835073, -0.007865847189140577, 0.05958800270365408] |
1,802.00846 | Trapping Collapse | Weak potential wells (or traps) in one and two dimensions, and the potential
wells slightly deeper than the critical ones in three dimensions, feature
shallow bound states with localization length much larger than the well radii.
We address a simple fundamental question of how many repulsively interacting
bosons can be localized by such traps. We find that under rather generic
conditions, for both weakly and strongly repulsive particles, in two and three
dimensions--but not in one-dimension!--the potential well can trap infinitely
many bosons. For example, even hard-core repulsive interactions do not prevent
this "trapping collapse" phenomenon from taking place. For the weakly
interacting/dilute regime, the effect can be revealed by the mean-field
argument, while in the case of strong correlations the evidence comes from
path-integral simulations. We also discuss the possibility of having a
transition between the infinite and finite number of trapped particles when
strong repulsive inter-particle correlations are increased.
| cond-mat.quant-gas quant-ph | weak potential wells or traps in one and two dimensions and the potential wells slightly deeper than the critical ones in three dimensions feature shallow bound states with localization length much larger than the well radii we address a simple fundamental question of how many repulsively interacting bosons can be localized by such traps we find that under rather generic conditions for both weakly and strongly repulsive particles in two and three dimensionsbut not in onedimensionthe potential well can trap infinitely many bosons for example even hardcore repulsive interactions do not prevent this trapping collapse phenomenon from taking place for the weakly interactingdilute regime the effect can be revealed by the meanfield argument while in the case of strong correlations the evidence comes from pathintegral simulations we also discuss the possibility of having a transition between the infinite and finite number of trapped particles when strong repulsive interparticle correlations are increased | [['weak', 'potential', 'wells', 'or', 'traps', 'in', 'one', 'and', 'two', 'dimensions', 'and', 'the', 'potential', 'wells', 'slightly', 'deeper', 'than', 'the', 'critical', 'ones', 'in', 'three', 'dimensions', 'feature', 'shallow', 'bound', 'states', 'with', 'localization', 'length', 'much', 'larger', 'than', 'the', 'well', 'radii', 'we', 'address', 'a', 'simple', 'fundamental', 'question', 'of', 'how', 'many', 'repulsively', 'interacting', 'bosons', 'can', 'be', 'localized', 'by', 'such', 'traps', 'we', 'find', 'that', 'under', 'rather', 'generic', 'conditions', 'for', 'both', 'weakly', 'and', 'strongly', 'repulsive', 'particles', 'in', 'two', 'and', 'three', 'dimensionsbut', 'not', 'in', 'onedimensionthe', 'potential', 'well', 'can', 'trap', 'infinitely', 'many', 'bosons', 'for', 'example', 'even', 'hardcore', 'repulsive', 'interactions', 'do', 'not', 'prevent', 'this', 'trapping', 'collapse', 'phenomenon', 'from', 'taking', 'place', 'for', 'the', 'weakly', 'interactingdilute', 'regime', 'the', 'effect', 'can', 'be', 'revealed', 'by', 'the', 'meanfield', 'argument', 'while', 'in', 'the', 'case', 'of', 'strong', 'correlations', 'the', 'evidence', 'comes', 'from', 'pathintegral', 'simulations', 'we', 'also', 'discuss', 'the', 'possibility', 'of', 'having', 'a', 'transition', 'between', 'the', 'infinite', 'and', 'finite', 'number', 'of', 'trapped', 'particles', 'when', 'strong', 'repulsive', 'interparticle', 'correlations', 'are', 'increased']] | [-0.12670219281210085, 0.25925059823596197, -0.0470385983404609, 0.12888415283570695, 0.012284588246493021, -0.22681329398403396, 0.02799328985447819, 0.35688549536280334, -0.22934450192150432, -0.2858569906281962, 0.033818491692875034, -0.31629293922309737, -0.1286088880812246, 0.1689396160772712, 0.052841095205843194, 0.013721363924166842, 0.0466777368329113, 0.014674302511470946, -0.03160822571796441, -0.25022752127119313, 0.32709085416501843, -0.0077606256257953445, 0.24024545419898286, 0.14588077633910673, 0.013810042165238661, 0.034219646905045455, 0.09037316851538128, 0.06010012920769687, -0.10975400986633857, 0.047027315706489735, 0.1713562340277398, -0.00899472854389633, 0.29007973567255446, -0.4700792363995837, -0.2389363553437933, 0.16153174947720725, 0.24120333562038737, 0.17944898375630933, -0.07605801386101096, -0.3136530375545467, -0.008931309771346482, -0.1655451147439512, -0.15895908504938455, -0.07310805418151053, 0.025858703151194228, 0.0355816506776751, -0.24777501543694352, 0.1138469013556558, 0.1196714709465694, 0.05558262124179384, -0.08125323904646761, -0.0721236879345835, 0.012120422180364462, 0.08823636810258315, 0.030000408368839604, -0.02215604672862871, 0.12779426876757596, -0.17626740879888922, -0.06017804686043009, 0.39220576158196135, -0.07727025733175971, -0.20196786848857692, 0.3114080920601515, -0.17655530442622164, -0.07753953920060618, 0.13424060844212166, 0.14392815294637773, 0.07484669434189847, -0.12850837056169906, 0.07304475371288513, -0.01837278569645777, 0.15874469115373654, 0.06642877899198416, 0.05974867165315192, 0.27704757329499713, 0.1337895606962234, 0.08151690717204474, 0.15370840074437847, -0.07366185068354211, -0.14254173510896698, -0.2582424963962891, -0.10183624290378224, -0.1959325084525689, 0.032610182636499056, -0.09068336561147196, -0.1374294011817452, 0.33574398868792765, 0.13805421960470896, 0.2166162525190393, 0.03620431234122481, 0.2502577343508853, 0.0996483839872117, 0.0834917749083173, 0.03681157819448492, 0.2914829705023786, 0.08191750070939118, 0.03411942517630303, -0.19520194241871452, -0.0004058249257001522, 0.05927516321802663] |
1,802.00847 | Efficient Nonlinear Transforms for Lossy Image Compression | We assess the performance of two techniques in the context of nonlinear
transform coding with artificial neural networks, Sadam and GDN. Both
techniques have been successfully used in state-of-the-art image compression
methods, but their performance has not been individually assessed to this
point. Together, the techniques stabilize the training procedure of nonlinear
image transforms and increase their capacity to approximate the (unknown)
rate-distortion optimal transform functions. Besides comparing their
performance to established alternatives, we detail the implementation of both
methods and provide open-source code along with the paper.
| eess.IV | we assess the performance of two techniques in the context of nonlinear transform coding with artificial neural networks sadam and gdn both techniques have been successfully used in stateoftheart image compression methods but their performance has not been individually assessed to this point together the techniques stabilize the training procedure of nonlinear image transforms and increase their capacity to approximate the unknown ratedistortion optimal transform functions besides comparing their performance to established alternatives we detail the implementation of both methods and provide opensource code along with the paper | [['we', 'assess', 'the', 'performance', 'of', 'two', 'techniques', 'in', 'the', 'context', 'of', 'nonlinear', 'transform', 'coding', 'with', 'artificial', 'neural', 'networks', 'sadam', 'and', 'gdn', 'both', 'techniques', 'have', 'been', 'successfully', 'used', 'in', 'stateoftheart', 'image', 'compression', 'methods', 'but', 'their', 'performance', 'has', 'not', 'been', 'individually', 'assessed', 'to', 'this', 'point', 'together', 'the', 'techniques', 'stabilize', 'the', 'training', 'procedure', 'of', 'nonlinear', 'image', 'transforms', 'and', 'increase', 'their', 'capacity', 'to', 'approximate', 'the', 'unknown', 'ratedistortion', 'optimal', 'transform', 'functions', 'besides', 'comparing', 'their', 'performance', 'to', 'established', 'alternatives', 'we', 'detail', 'the', 'implementation', 'of', 'both', 'methods', 'and', 'provide', 'opensource', 'code', 'along', 'with', 'the', 'paper']] | [-0.04915898945985426, -0.06200423001729209, -0.10030982378688266, 0.09072732253016197, -0.0649469821317785, -0.17419120782836414, 0.03913352625503408, 0.5064688992054983, -0.2778048884637397, -0.29995370352233963, 0.14840570236181563, -0.24624257628945098, -0.19989608986378143, 0.22406397015926824, -0.09746604449725871, 0.18236053368911662, 0.05674435472351381, 0.020520295121174457, -0.12513983962607794, -0.3473474007185506, 0.2608176533684092, 0.10074067573951578, 0.37955028638671867, 0.01728179783763728, 0.09473270911123903, -0.05907379788207425, -0.06222509719891709, 0.002637620303437285, -0.09774304747624302, 0.1601385011581233, 0.2936005967444387, 0.18602037547027755, 0.2922802882418893, -0.4457963392909231, -0.23313427814978294, 0.08824767583938337, 0.1750658312705399, 0.09860278126494638, -0.06409444674801339, -0.2726506034618822, 0.10231547332208218, -0.1572352666836018, -0.03838519095817859, -0.14536731891419696, -0.07460189781462152, 0.06329553504006123, -0.25337807877503077, 0.000648480283374759, 0.0636184264359803, 0.05622789525459039, -0.06110282612418563, -0.14088562728259071, 0.03580414454035204, 0.1705645720538651, 0.05308474368019693, 0.046175004149005675, 0.12098099054747272, -0.12970907136599866, -0.17004580673194308, 0.32832147746250545, -0.046421329993968724, -0.2503441338294892, 0.20475079458549447, -0.029226047757627636, -0.10901660821132961, 0.1369772214635179, 0.23206412558304682, 0.08244607896255009, -0.17285601782944354, 0.07858480801658663, 0.04551166380573621, 0.14971309573952932, 0.06582631361296122, 0.05648535976036527, 0.1282758802341447, 0.18662419309304362, -0.01269385009072721, 0.18238246643209252, -0.10995195798533058, -0.07041845979682844, -0.15994968950405888, -0.12584796178572136, -0.17430590576995378, -0.07213187612437284, -0.06368362835033706, -0.15177395709672536, 0.4018183996172986, 0.21667156743164034, 0.13772547172232605, 0.06038904795958393, 0.3796921440496527, 0.08318007065935981, 0.09515412664308545, 0.084099807530299, 0.23634907199021685, 0.11843727713707707, 0.10183057981147163, -0.20931276013865938, 0.057638193926260135, 0.049461641520176125] |
1,802.00848 | Gate tunable WSe2/SnSe2 backward diode with ultrahigh reverse
rectification ratio | Backward diodes conduct more efficiently in the reverse bias than in the
forward bias, providing superior high frequency response, temperature
stability, radiation hardness, and 1/f noise performance than a conventional
diode conducting in the forward direction. Here we demonstrate a van der Waals
material based backward diode by exploiting the giant staggered band offsets of
WSe2/SnSe2 vertical heterojunction. The diode exhibits an ultra-high reverse
rectification ratio (R) of ~2.1x10^4 and the same is maintained up to an
unusually large bias of 1.5 V - outperforming existing backward diode reports
using conventional bulk semiconductors as well as one- and two-dimensional
materials by more than an order of magnitude, while maintaining an impressive
curvature coefficient ({\gamma}) of ~37 per V. The transport mechanism in the
diode is shown to be efficiently tunable by external gate and drain bias, as
well as by the thickness of the WSe2 layer and the type of metal contacts used.
These results pave the way for practical electronic circuit applications using
two-dimensional materials and their heterojunctions.
| physics.app-ph cond-mat.mes-hall cond-mat.mtrl-sci | backward diodes conduct more efficiently in the reverse bias than in the forward bias providing superior high frequency response temperature stability radiation hardness and 1f noise performance than a conventional diode conducting in the forward direction here we demonstrate a van der waals material based backward diode by exploiting the giant staggered band offsets of wse2snse2 vertical heterojunction the diode exhibits an ultrahigh reverse rectification ratio r of 21x104 and the same is maintained up to an unusually large bias of 15 v outperforming existing backward diode reports using conventional bulk semiconductors as well as one and twodimensional materials by more than an order of magnitude while maintaining an impressive curvature coefficient gamma of 37 per v the transport mechanism in the diode is shown to be efficiently tunable by external gate and drain bias as well as by the thickness of the wse2 layer and the type of metal contacts used these results pave the way for practical electronic circuit applications using twodimensional materials and their heterojunctions | [['backward', 'diodes', 'conduct', 'more', 'efficiently', 'in', 'the', 'reverse', 'bias', 'than', 'in', 'the', 'forward', 'bias', 'providing', 'superior', 'high', 'frequency', 'response', 'temperature', 'stability', 'radiation', 'hardness', 'and', '1f', 'noise', 'performance', 'than', 'a', 'conventional', 'diode', 'conducting', 'in', 'the', 'forward', 'direction', 'here', 'we', 'demonstrate', 'a', 'van', 'der', 'waals', 'material', 'based', 'backward', 'diode', 'by', 'exploiting', 'the', 'giant', 'staggered', 'band', 'offsets', 'of', 'wse2snse2', 'vertical', 'heterojunction', 'the', 'diode', 'exhibits', 'an', 'ultrahigh', 'reverse', 'rectification', 'ratio', 'r', 'of', '21x104', 'and', 'the', 'same', 'is', 'maintained', 'up', 'to', 'an', 'unusually', 'large', 'bias', 'of', '15', 'v', 'outperforming', 'existing', 'backward', 'diode', 'reports', 'using', 'conventional', 'bulk', 'semiconductors', 'as', 'well', 'as', 'one', 'and', 'twodimensional', 'materials', 'by', 'more', 'than', 'an', 'order', 'of', 'magnitude', 'while', 'maintaining', 'an', 'impressive', 'curvature', 'coefficient', 'gamma', 'of', '37', 'per', 'v', 'the', 'transport', 'mechanism', 'in', 'the', 'diode', 'is', 'shown', 'to', 'be', 'efficiently', 'tunable', 'by', 'external', 'gate', 'and', 'drain', 'bias', 'as', 'well', 'as', 'by', 'the', 'thickness', 'of', 'the', 'wse2', 'layer', 'and', 'the', 'type', 'of', 'metal', 'contacts', 'used', 'these', 'results', 'pave', 'the', 'way', 'for', 'practical', 'electronic', 'circuit', 'applications', 'using', 'twodimensional', 'materials', 'and', 'their', 'heterojunctions']] | [-0.13962336044694426, 0.08500366138529958, -0.015345981826972284, -0.0015369804801201883, -0.05116743997051687, -0.20269065518155246, 0.08934549419042058, 0.45238194058643666, -0.27066166968570055, -0.34135772257068747, -0.002091889531758731, -0.29860822937847253, -0.10054342088869545, 0.2849192843872853, -0.02975306724906414, 0.05906345991244885, -0.01915302311772938, -0.11298736695668654, -0.04894999274147485, -0.17364334519171787, 0.222075810681047, 0.10702705971233012, 0.3385882128481781, 0.054318602725272315, 0.09430352029039296, -0.023469143588943576, 0.07389694785498484, 0.02372770889489326, -0.09633093557744371, 0.07086560554930683, 0.23557321478830215, -0.10847526654868783, 0.2703008700195633, -0.45466345793729324, -0.22294684104108348, -0.011870572513560513, 0.13628702514113378, 0.10515895361655174, -0.09631522395874619, -0.26783685889206604, 0.09723339372587775, -0.16567315779275033, -0.088410457650905, -0.02337382831136713, -0.010682596358007746, 0.05898337941972293, -0.2240873643080007, 0.09172797272773739, 0.05574356992784776, 0.06107810254049805, -0.011856083574838668, -0.17102427494260455, -0.04407780138987624, 0.07981532710342261, -0.015426808216017922, 0.033513398179477696, 0.2110352528568714, -0.1655266689691514, -0.14331657975956708, 0.34317261348673683, -0.11885053435510266, -0.11080457631799721, 0.14783320457864174, -0.14456232105420824, 0.03831028544293817, 0.153666720654492, 0.09985384707545449, 0.09811275435366228, -0.1694484984970646, 0.035980433507956294, 0.05590430156377975, 0.18478716469249928, 0.11294770761236861, 0.0778689172710041, 0.20381563171203398, 0.21700382479037783, 0.09282335015515725, 0.13933957403338887, -0.12342326597709342, 0.029784647530379765, -0.2098499976780299, -0.19193054353929834, -0.18907342297178387, 0.09291828587138189, -0.11879372964198366, -0.18569349382099873, 0.40873291094447234, 0.17006679826059162, 0.15768365599884243, -0.008914569547556029, 0.32163211870464514, 0.1494789810343729, 0.09243081210454379, 0.04111475244855988, 0.2727826511833125, 0.1541212784895997, 0.14545694111377938, -0.24185997240446105, 0.09929162000785553, -0.02120981773314161] |
1,802.00849 | Stirling Numbers in Braid Matroid Kazhdan-Lusztig Polynomials | Restricted Whitney numbers of the first kind appear in the combinatorial
recursion for the matroid Kazhdan-Lusztig polynomials. In the special case of
braid matroids (the matroid associated to the partition lattice, the complete
graph, the type A Coxeter arrangement and the symmetric group) these restricted
Whitney numbers are Stirling numbers of the first kind. We use this observation
to obtain a formula for the coefficients of the Kazhdan-Lusztig polynomials for
braid matroids in terms of sums of products of Stirling numbers of the first
kind. This results in new identities between Stirling numbers of the first kind
and Stirling numbers of the second kind, as well as a non-recursive formula for
the braid matroid Kazhdan-Lusztig polynomials.
| math.CO | restricted whitney numbers of the first kind appear in the combinatorial recursion for the matroid kazhdanlusztig polynomials in the special case of braid matroids the matroid associated to the partition lattice the complete graph the type a coxeter arrangement and the symmetric group these restricted whitney numbers are stirling numbers of the first kind we use this observation to obtain a formula for the coefficients of the kazhdanlusztig polynomials for braid matroids in terms of sums of products of stirling numbers of the first kind this results in new identities between stirling numbers of the first kind and stirling numbers of the second kind as well as a nonrecursive formula for the braid matroid kazhdanlusztig polynomials | [['restricted', 'whitney', 'numbers', 'of', 'the', 'first', 'kind', 'appear', 'in', 'the', 'combinatorial', 'recursion', 'for', 'the', 'matroid', 'kazhdanlusztig', 'polynomials', 'in', 'the', 'special', 'case', 'of', 'braid', 'matroids', 'the', 'matroid', 'associated', 'to', 'the', 'partition', 'lattice', 'the', 'complete', 'graph', 'the', 'type', 'a', 'coxeter', 'arrangement', 'and', 'the', 'symmetric', 'group', 'these', 'restricted', 'whitney', 'numbers', 'are', 'stirling', 'numbers', 'of', 'the', 'first', 'kind', 'we', 'use', 'this', 'observation', 'to', 'obtain', 'a', 'formula', 'for', 'the', 'coefficients', 'of', 'the', 'kazhdanlusztig', 'polynomials', 'for', 'braid', 'matroids', 'in', 'terms', 'of', 'sums', 'of', 'products', 'of', 'stirling', 'numbers', 'of', 'the', 'first', 'kind', 'this', 'results', 'in', 'new', 'identities', 'between', 'stirling', 'numbers', 'of', 'the', 'first', 'kind', 'and', 'stirling', 'numbers', 'of', 'the', 'second', 'kind', 'as', 'well', 'as', 'a', 'nonrecursive', 'formula', 'for', 'the', 'braid', 'matroid', 'kazhdanlusztig', 'polynomials']] | [-0.2286956988050249, 0.10023523548192441, -0.011106464947605955, 0.09361645702276668, -0.1726469299113699, -0.07646627311899873, 0.07134207933820014, 0.23018713562813556, -0.37584676654559784, -0.2652423259448902, 0.061355995706529436, -0.205339202145516, -0.18444911205081332, 0.20672383198739383, -0.11744098269766004, 0.024169403939218872, 0.035233150826413824, 0.09689278181256919, -0.07174566602589039, -0.2777158873256573, 0.35652380487941815, -0.020807054965628374, 0.18884741699579974, -0.007074230623527847, 0.05938157261798865, -0.015200451421872553, -0.0062432480446095095, -0.032963538413931584, -0.1592868216143086, 0.12446290491638577, 0.3137071534975207, 0.09943640518608375, 0.1865419615220664, -0.42046957223371056, 0.0036207875076296, 0.18799992642718658, 0.11422055390872189, 0.007947822446645847, -0.0033435997521055155, -0.1976878754774526, 0.014216783708403015, -0.2000214882869402, -0.17313713416585635, -0.056605570885384905, 0.019084097915891045, 0.14324673392874157, -0.2881677162769283, -0.007871479647041395, 0.10579483832959247, 0.12910045913805993, 0.012312048355695503, -0.19923071212793603, 0.020515875491426038, 0.1017587273100648, -0.024878200850096243, -0.04970641886205252, -0.021135096626902192, -0.1300575973482096, -0.21708046031537756, 0.4362541518960919, 0.04477831171644884, -0.2538186769916451, 0.0469410788219679, -0.22133436013045238, -0.2808824128848661, 0.11875160453250985, 0.09645180119972291, 0.17245431602450795, -0.019125859024292178, 0.04175326066665705, -0.22401696292619253, 0.017226145983119657, 0.21531442598969644, 0.0009077307607593207, 0.14292812189749635, 0.005795136278752109, -0.012477635582587842, 0.275653297260227, 0.03982959824547991, -0.053509034079917035, -0.35333696733517894, -0.3014850671155226, -0.222634786659659, 0.05997678805303214, -0.18317685771612088, -0.2177968548193317, 0.39435099213030833, 0.04292044377532499, 0.10530390119950833, 0.19372211843086728, 0.20513591260231775, 0.07134031241655285, 0.08461172534313438, -0.03730245126042001, 0.0921256511777254, 0.3178427750887028, 0.07706127811929789, -0.11879732606933524, 0.03737543958614596, 0.35041974208333754] |
1,802.0085 | Deep UQ: Learning deep neural network surrogate models for high
dimensional uncertainty quantification | State-of-the-art computer codes for simulating real physical systems are
often characterized by a vast number of input parameters. Performing
uncertainty quantification (UQ) tasks with Monte Carlo (MC) methods is almost
always infeasible because of the need to perform hundreds of thousands or even
millions of forward model evaluations in order to obtain convergent statistics.
One, thus, tries to construct a cheap-to-evaluate surrogate model to replace
the forward model solver. For systems with large numbers of input parameters,
one has to deal with the curse of dimensionality - the exponential increase in
the volume of the input space, as the number of parameters increases linearly.
In this work, we demonstrate the use of deep neural networks (DNN) to construct
surrogate models for numerical simulators. We parameterize the structure of the
DNN in a manner that lends the DNN surrogate the interpretation of recovering a
low dimensional nonlinear manifold. The model response is a parameterized
nonlinear function of the low dimensional projections of the input. We think of
this low dimensional manifold as a nonlinear generalization of the notion of
the active subspace. Our approach is demonstrated with a problem on uncertainty
propagation in a stochastic elliptic partial differential equation (SPDE) with
uncertain diffusion coefficient. We deviate from traditional formulations of
the SPDE problem by not imposing a specific covariance structure on the random
diffusion coefficient. Instead, we attempt to solve a more challenging problem
of learning a map between an arbitrary snapshot of the diffusion field and the
response.
| physics.comp-ph cs.LG stat.ML | stateoftheart computer codes for simulating real physical systems are often characterized by a vast number of input parameters performing uncertainty quantification uq tasks with monte carlo mc methods is almost always infeasible because of the need to perform hundreds of thousands or even millions of forward model evaluations in order to obtain convergent statistics one thus tries to construct a cheaptoevaluate surrogate model to replace the forward model solver for systems with large numbers of input parameters one has to deal with the curse of dimensionality the exponential increase in the volume of the input space as the number of parameters increases linearly in this work we demonstrate the use of deep neural networks dnn to construct surrogate models for numerical simulators we parameterize the structure of the dnn in a manner that lends the dnn surrogate the interpretation of recovering a low dimensional nonlinear manifold the model response is a parameterized nonlinear function of the low dimensional projections of the input we think of this low dimensional manifold as a nonlinear generalization of the notion of the active subspace our approach is demonstrated with a problem on uncertainty propagation in a stochastic elliptic partial differential equation spde with uncertain diffusion coefficient we deviate from traditional formulations of the spde problem by not imposing a specific covariance structure on the random diffusion coefficient instead we attempt to solve a more challenging problem of learning a map between an arbitrary snapshot of the diffusion field and the response | [['stateoftheart', 'computer', 'codes', 'for', 'simulating', 'real', 'physical', 'systems', 'are', 'often', 'characterized', 'by', 'a', 'vast', 'number', 'of', 'input', 'parameters', 'performing', 'uncertainty', 'quantification', 'uq', 'tasks', 'with', 'monte', 'carlo', 'mc', 'methods', 'is', 'almost', 'always', 'infeasible', 'because', 'of', 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1,802.00851 | Automated lattice data generation | The process of generating ensembles of gauge configurations (and measuring
various observables over them) can be tedious and error-prone when done "by
hand". In practice, most of this procedure can be automated with the use of a
workflow manager. We discuss how this automation can be accomplished using
Taxi, a minimal Python-based workflow manager built for generating lattice
data. We present a case study demonstrating this technology.
| hep-lat | the process of generating ensembles of gauge configurations and measuring various observables over them can be tedious and errorprone when done by hand in practice most of this procedure can be automated with the use of a workflow manager we discuss how this automation can be accomplished using taxi a minimal pythonbased workflow manager built for generating lattice data we present a case study demonstrating this technology | [['the', 'process', 'of', 'generating', 'ensembles', 'of', 'gauge', 'configurations', 'and', 'measuring', 'various', 'observables', 'over', 'them', 'can', 'be', 'tedious', 'and', 'errorprone', 'when', 'done', 'by', 'hand', 'in', 'practice', 'most', 'of', 'this', 'procedure', 'can', 'be', 'automated', 'with', 'the', 'use', 'of', 'a', 'workflow', 'manager', 'we', 'discuss', 'how', 'this', 'automation', 'can', 'be', 'accomplished', 'using', 'taxi', 'a', 'minimal', 'pythonbased', 'workflow', 'manager', 'built', 'for', 'generating', 'lattice', 'data', 'we', 'present', 'a', 'case', 'study', 'demonstrating', 'this', 'technology']] | [-0.09734893483179274, 0.10156993713549603, -0.08829556464968222, 0.058843454866590365, -0.0975851522508397, -0.14275052290715612, 0.06527207712225838, 0.43136515327270575, -0.24929947148376047, -0.32463262291319334, 0.14109345701863685, -0.17586036005974817, -0.14498364419412257, 0.2567049810913072, -0.09039817726823376, 0.06275914934178842, 0.15657702093916154, -0.039623609514656793, -0.04279703409202508, -0.2626780623208676, 0.2903554428285405, 0.050751802101453296, 0.27781441200302165, 0.0462832826280049, 0.057244923294160456, 0.05299578598742165, -0.06222131539747786, 0.0035073733610559757, -0.06859977214611065, 0.17700832584567033, 0.3265144243217838, 0.23231532580372113, 0.27589093070866455, -0.4569245385033871, -0.1555620876154793, 0.1085474835152724, 0.15365764568559825, 0.11592985767481932, -0.02456072839532993, -0.2928643008353494, 0.10563151972757569, -0.23953061019862765, -0.11845866121080663, -0.15398678818801, -0.07308597081521553, -0.02738202146754892, -0.2842345337953363, -0.04024502304869134, -0.00824311602193473, 0.11371251987293363, 0.03140491731256358, -0.03771243291670707, 0.0075555362081878, 0.18517754702184197, 0.02554592310838443, 0.0310835554229735, 0.165875666635806, -0.10667847821475077, -0.1677043263091525, 0.40453500144962057, -0.014042834285646677, -0.22763858199008366, 0.12583301789057788, -0.061261352436589214, -0.1937770745508484, 0.02173122722627734, 0.17625476119678413, 0.1421649574385539, -0.2580837146702671, 0.07692273077033739, 0.027849492255542705, 0.17509208134472815, 0.06056475408597669, -0.04916746056388452, 0.2282285407991774, 0.2404225509884809, 0.029855343061429795, 0.19731828027731502, -0.023205601280544705, -0.03870194490109362, -0.2959770225266467, -0.17383328278952126, -0.1637332772752687, 0.04494305672263032, -0.03767795851688707, -0.12777811368760555, 0.37418819722066177, 0.21907330715834206, 0.15126941959137347, 0.0395702372875009, 0.34595477414220127, 0.09262946243189386, 0.10264436627474072, 0.056935035859915745, 0.11550835028652158, -0.035426748176313826, 0.1220201854437673, -0.17936238696548476, 0.0647733875605931, 0.03319447618950881] |
1,802.00852 | Parameter and Uncertainty Estimation for Dynamical Systems Using
Surrogate Stochastic Processes | Inference on unknown quantities in dynamical systems via observational data
is essential for providing meaningful insight, furnishing accurate predictions,
enabling robust control, and establishing appropriate designs for future
experiments. Merging mathematical theory with empirical measurements in a
statistically coherent way is critical and challenges abound, e.g.,:
ill-posedness of the parameter estimation problem, proper regularization and
incorporation of prior knowledge, and computational limitations on full
uncertainty qualification. To address these issues, we propose a new method for
learning parameterized dynamical systems from data. In many ways, our proposal
turns the canonical framework on its head. We first fit a surrogate stochastic
process to observational data, enforcing prior knowledge (e.g., smoothness),
and coping with challenging data features like heteroskedasticity, heavy tails
and censoring. Then, samples of the stochastic process are used as "surrogate
data" and point estimates are computed via ordinary point estimation methods in
a modular fashion. An attractive feature of this approach is that it is fully
Bayesian and simultaneously parallelizable. We demonstrate the advantages of
our new approach on a predator prey simulation study and on a real world
application involving within-host influenza virus infection data paired with a
viral kinetic model.
| stat.ME math.NA | inference on unknown quantities in dynamical systems via observational data is essential for providing meaningful insight furnishing accurate predictions enabling robust control and establishing appropriate designs for future experiments merging mathematical theory with empirical measurements in a statistically coherent way is critical and challenges abound eg illposedness of the parameter estimation problem proper regularization and incorporation of prior knowledge and computational limitations on full uncertainty qualification to address these issues we propose a new method for learning parameterized dynamical systems from data in many ways our proposal turns the canonical framework on its head we first fit a surrogate stochastic process to observational data enforcing prior knowledge eg smoothness and coping with challenging data features like heteroskedasticity heavy tails and censoring then samples of the stochastic process are used as surrogate data and point estimates are computed via ordinary point estimation methods in a modular fashion an attractive feature of this approach is that it is fully bayesian and simultaneously parallelizable we demonstrate the advantages of our new approach on a predator prey simulation study and on a real world application involving withinhost influenza virus infection data paired with a viral kinetic model | [['inference', 'on', 'unknown', 'quantities', 'in', 'dynamical', 'systems', 'via', 'observational', 'data', 'is', 'essential', 'for', 'providing', 'meaningful', 'insight', 'furnishing', 'accurate', 'predictions', 'enabling', 'robust', 'control', 'and', 'establishing', 'appropriate', 'designs', 'for', 'future', 'experiments', 'merging', 'mathematical', 'theory', 'with', 'empirical', 'measurements', 'in', 'a', 'statistically', 'coherent', 'way', 'is', 'critical', 'and', 'challenges', 'abound', 'eg', 'illposedness', 'of', 'the', 'parameter', 'estimation', 'problem', 'proper', 'regularization', 'and', 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1,802.00853 | Incremental Classifier Learning with Generative Adversarial Networks | In this paper, we address the incremental classifier learning problem, which
suffers from catastrophic forgetting. The main reason for catastrophic
forgetting is that the past data are not available during learning. Typical
approaches keep some exemplars for the past classes and use distillation
regularization to retain the classification capability on the past classes and
balance the past and new classes. However, there are four main problems with
these approaches. First, the loss function is not efficient for classification.
Second, there is unbalance problem between the past and new classes. Third, the
size of pre-decided exemplars is usually limited and they might not be
distinguishable from unseen new classes. Forth, the exemplars may not be
allowed to be kept for a long time due to privacy regulations. To address these
problems, we propose (a) a new loss function to combine the cross-entropy loss
and distillation loss, (b) a simple way to estimate and remove the unbalance
between the old and new classes , and (c) using Generative Adversarial Networks
(GANs) to generate historical data and select representative exemplars during
generation. We believe that the data generated by GANs have much less privacy
issues than real images because GANs do not directly copy any real image
patches. We evaluate the proposed method on CIFAR-100, Flower-102, and
MS-Celeb-1M-Base datasets and extensive experiments demonstrate the
effectiveness of our method.
| cs.CV | in this paper we address the incremental classifier learning problem which suffers from catastrophic forgetting the main reason for catastrophic forgetting is that the past data are not available during learning typical approaches keep some exemplars for the past classes and use distillation regularization to retain the classification capability on the past classes and balance the past and new classes however there are four main problems with these approaches first the loss function is not efficient for classification second there is unbalance problem between the past and new classes third the size of predecided exemplars is usually limited and they might not be distinguishable from unseen new classes forth the exemplars may not be allowed to be kept for a long time due to privacy regulations to address these problems we propose a a new loss function to combine the crossentropy loss and distillation loss b a simple way to estimate and remove the unbalance between the old and new classes and c using generative adversarial networks gans to generate historical data and select representative exemplars during generation we believe that the data generated by gans have much less privacy issues than real images because gans do not directly copy any real image patches we evaluate the proposed method on cifar100 flower102 and msceleb1mbase datasets and extensive experiments demonstrate the effectiveness of our method | [['in', 'this', 'paper', 'we', 'address', 'the', 'incremental', 'classifier', 'learning', 'problem', 'which', 'suffers', 'from', 'catastrophic', 'forgetting', 'the', 'main', 'reason', 'for', 'catastrophic', 'forgetting', 'is', 'that', 'the', 'past', 'data', 'are', 'not', 'available', 'during', 'learning', 'typical', 'approaches', 'keep', 'some', 'exemplars', 'for', 'the', 'past', 'classes', 'and', 'use', 'distillation', 'regularization', 'to', 'retain', 'the', 'classification', 'capability', 'on', 'the', 'past', 'classes', 'and', 'balance', 'the', 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1,802.00854 | Raising the $\mathcal{PT}$ transition threshold by strong coupling to
neutral chains | The $\mathcal{PT}$ symmetry breaking threshold in discrete realizations of
systems with balanced gain and loss is determined by the effective coupling
between the gain and loss sites. In one dimensional chains, this threshold is
maximum when the two sites are closest to each other or the farthest. We
investigate the fate of this threshold in the presence of parallel, strongly
coupled, Hermitian (neutral) chains, and find that it is increased by a factor
proportional to the number of neutral chains. We present numerical results and
analytical arguments for this enhancement. We then consider the effects of
adding neutral sites to $\mathcal{PT}$ symmetric dimer and trimer
configurations and show that the threshold is more than doubled, or tripled by
their presence. Our results provide a surprising way to engineer the
$\mathcal{PT}$ threshold in experimentally accessible samples.
| quant-ph | the mathcalpt symmetry breaking threshold in discrete realizations of systems with balanced gain and loss is determined by the effective coupling between the gain and loss sites in one dimensional chains this threshold is maximum when the two sites are closest to each other or the farthest we investigate the fate of this threshold in the presence of parallel strongly coupled hermitian neutral chains and find that it is increased by a factor proportional to the number of neutral chains we present numerical results and analytical arguments for this enhancement we then consider the effects of adding neutral sites to mathcalpt symmetric dimer and trimer configurations and show that the threshold is more than doubled or tripled by their presence our results provide a surprising way to engineer the mathcalpt threshold in experimentally accessible samples | [['the', 'mathcalpt', 'symmetry', 'breaking', 'threshold', 'in', 'discrete', 'realizations', 'of', 'systems', 'with', 'balanced', 'gain', 'and', 'loss', 'is', 'determined', 'by', 'the', 'effective', 'coupling', 'between', 'the', 'gain', 'and', 'loss', 'sites', 'in', 'one', 'dimensional', 'chains', 'this', 'threshold', 'is', 'maximum', 'when', 'the', 'two', 'sites', 'are', 'closest', 'to', 'each', 'other', 'or', 'the', 'farthest', 'we', 'investigate', 'the', 'fate', 'of', 'this', 'threshold', 'in', 'the', 'presence', 'of', 'parallel', 'strongly', 'coupled', 'hermitian', 'neutral', 'chains', 'and', 'find', 'that', 'it', 'is', 'increased', 'by', 'a', 'factor', 'proportional', 'to', 'the', 'number', 'of', 'neutral', 'chains', 'we', 'present', 'numerical', 'results', 'and', 'analytical', 'arguments', 'for', 'this', 'enhancement', 'we', 'then', 'consider', 'the', 'effects', 'of', 'adding', 'neutral', 'sites', 'to', 'mathcalpt', 'symmetric', 'dimer', 'and', 'trimer', 'configurations', 'and', 'show', 'that', 'the', 'threshold', 'is', 'more', 'than', 'doubled', 'or', 'tripled', 'by', 'their', 'presence', 'our', 'results', 'provide', 'a', 'surprising', 'way', 'to', 'engineer', 'the', 'mathcalpt', 'threshold', 'in', 'experimentally', 'accessible', 'samples']] | [-0.15285032675687776, 0.19235560095144644, 0.0132609880382747, 0.05149846630326162, -0.020827832486894397, -0.17520478495086234, 0.0967073438188958, 0.4031975361691029, -0.22491809759564974, -0.28553552833144313, 0.07854466034547875, -0.30246735615310844, -0.1634063752885494, 0.10717877823238571, 0.03707642535920496, -0.010349024635636144, 0.02909269204225253, 0.036515355545001245, -0.06689735603760238, -0.24582097156801158, 0.3249536039514674, 0.0796059720614856, 0.2896340188587567, 0.07713287051905085, 0.05244117358837415, 0.009788704753198006, 0.04759773852786532, 0.0017910935122657705, -0.14560101189428543, 0.11281996076049162, 0.1908255086970274, 0.04194188684363056, 0.22043382699290912, -0.3993508114203535, -0.19476016188661258, 0.1257436236090682, 0.1414062351255712, 0.1575484795814932, -0.06388481948751076, -0.26204332832281513, 0.07753844010919608, -0.15858033961030069, -0.17118674598427283, -0.037490686301693874, 0.016734770867063802, 0.0252589190447772, -0.2765361661574355, 0.075938531945037, 0.05591569421123024, 0.03603280506148521, -0.012592240375966799, -0.08584705900262904, -0.04844108825308029, 0.07984188733109342, 0.030327602954477898, -0.012027124077495602, 0.12240765571714965, -0.12466811186324642, -0.12627635549891877, 0.3843224110426726, -0.050381482994998804, -0.2029713195134213, 0.20806112293567922, -0.1507167873179747, -0.07902007376499198, 0.15938696858938783, 0.1252120224138101, 0.09584378520440724, -0.11521315558660447, 0.028020392757564506, -0.04344720762498953, 0.1804351406559969, 0.06583441296868302, 0.03837810660608941, 0.19670756179149504, 0.15029608273913186, 0.09350356849393358, 0.2128419155510966, -0.036880267191574806, -0.1313477546200846, -0.2608129275617776, -0.11211106317048823, -0.16879308937393406, 0.045894119920450505, -0.061078413654575815, -0.10168899899624564, 0.3825079246803566, 0.13154299790169008, 0.21575868556758873, 0.016488322120642773, 0.2579565574897936, 0.14284737997050226, 0.0749942069442046, 0.042424136110477975, 0.2638967349573418, 0.11780955391177149, 0.022658407612255325, -0.25016323558779224, 0.02008897890854213, 0.025901993181280517] |
1,802.00855 | Modeling Coating Flow and Surfactant Dynamics inside the Alveolar
Compartment | We derive a new model for the coating flow inside the alveolar compartment,
taking into account pulmonary surfactant production and recycling by Type 2
cells as well as its degradation. As the thickness of alveolar coating is much
smaller than the average radius of the alveoli, we employ the classical
lubrication approximation to describe the thin liquid film dynamics in the
presence of pulmonary surfactant, which is a surface tension reducing agent and
thus prevents the lungs from collapse. In the lubrication limit, we derive a
degenerate system of two coupled parabolic partial differential equations that
describe the time evolution of the thickness of the coating film inside the
alveoli together with that of the surfactant concentration at the interface. We
present numerical simulations using parameter values consistent with
experimental measurements.
| physics.med-ph cond-mat.soft | we derive a new model for the coating flow inside the alveolar compartment taking into account pulmonary surfactant production and recycling by type 2 cells as well as its degradation as the thickness of alveolar coating is much smaller than the average radius of the alveoli we employ the classical lubrication approximation to describe the thin liquid film dynamics in the presence of pulmonary surfactant which is a surface tension reducing agent and thus prevents the lungs from collapse in the lubrication limit we derive a degenerate system of two coupled parabolic partial differential equations that describe the time evolution of the thickness of the coating film inside the alveoli together with that of the surfactant concentration at the interface we present numerical simulations using parameter values consistent with experimental measurements | [['we', 'derive', 'a', 'new', 'model', 'for', 'the', 'coating', 'flow', 'inside', 'the', 'alveolar', 'compartment', 'taking', 'into', 'account', 'pulmonary', 'surfactant', 'production', 'and', 'recycling', 'by', 'type', '2', 'cells', 'as', 'well', 'as', 'its', 'degradation', 'as', 'the', 'thickness', 'of', 'alveolar', 'coating', 'is', 'much', 'smaller', 'than', 'the', 'average', 'radius', 'of', 'the', 'alveoli', 'we', 'employ', 'the', 'classical', 'lubrication', 'approximation', 'to', 'describe', 'the', 'thin', 'liquid', 'film', 'dynamics', 'in', 'the', 'presence', 'of', 'pulmonary', 'surfactant', 'which', 'is', 'a', 'surface', 'tension', 'reducing', 'agent', 'and', 'thus', 'prevents', 'the', 'lungs', 'from', 'collapse', 'in', 'the', 'lubrication', 'limit', 'we', 'derive', 'a', 'degenerate', 'system', 'of', 'two', 'coupled', 'parabolic', 'partial', 'differential', 'equations', 'that', 'describe', 'the', 'time', 'evolution', 'of', 'the', 'thickness', 'of', 'the', 'coating', 'film', 'inside', 'the', 'alveoli', 'together', 'with', 'that', 'of', 'the', 'surfactant', 'concentration', 'at', 'the', 'interface', 'we', 'present', 'numerical', 'simulations', 'using', 'parameter', 'values', 'consistent', 'with', 'experimental', 'measurements']] | [-0.06858936151070165, 0.1262122585743893, -0.06135154462540309, -0.022848772860793325, -0.010765019278148658, -0.12803521973813195, 0.024440189096579003, 0.3081597399236706, -0.2529103857649931, -0.286301217560891, 0.10722711170536559, -0.29629357987374977, -0.10266003512976449, 0.1618300804971426, -0.052808964209105, 0.03362531490316917, 0.023381676188961583, -0.03224230088997376, -0.02962507570574757, -0.16676247532422592, 0.2789171351589092, 0.02091126369298187, 0.2680345169421399, 0.0738996961758337, 0.11267553383612451, -0.007303150304955722, 0.04736875889348293, 0.05678905404478539, -0.21440721782449124, 0.06099641818076884, 0.2019749015537695, -0.02207435296052171, 0.2285285367566438, -0.5198046459837724, -0.26764958289199514, 0.008496584733308271, 0.13987886566555, 0.12789322933775749, -0.05335459207141957, -0.2353620175627693, 0.05362612169008446, -0.15699375110664157, -0.1610820176442445, 0.009084622578283075, -0.021470360982210467, 0.042386528026118864, -0.23536309061566624, 0.13740006904295496, 0.044936025004215424, 0.03735715055212606, -0.12616135247446283, -0.1320156809111403, -0.1032271740144076, 0.12009793064709867, 0.06138316699470756, -0.01441898996380108, 0.23991684151550344, -0.14978068591742458, 0.015760568823693817, 0.35113311929002633, -0.09274009325533114, -0.19850955455642166, 0.16850232301663806, -0.1455534986817484, -0.007419153415235399, 0.1930212881664909, 0.19229034696997122, 0.12104467704949033, -0.14773259392960836, 0.011545584390458885, -0.02180292850043909, 0.21326217167470463, 0.0927512014625978, -0.06892106410485642, 0.1743424780851671, 0.2732360425426532, 0.024457956351453567, 0.15504487036222606, -0.14303588740285914, -0.08189010376444812, -0.291323562501041, -0.23515541080157948, -0.09949619758817303, 0.03307689734883891, -0.13146739443035385, -0.20778519628953387, 0.33857784484946774, 0.11695199670716196, 0.15068260841924724, 0.058418589623694714, 0.2967273957799864, 0.07733199258782823, 0.07419001499816548, 0.001045473147217426, 0.2651520728965411, 0.1462820895275684, 0.0912039953832495, -0.29696827033314255, 0.125365027137641, 0.07887747181750095] |
1,802.00856 | Non-universality of the adiabatic chiral magnetic effect in a clean Weyl
semimetal slab | The adiabatic chiral magnetic effect (CME) is a phenomenon by which a slowly
oscillating magnetic field applied to a conducting medium induces an electric
current in the instantaneous direction of the field. Here we theoretically
investigate the effect in a ballistic Weyl semimetal sample having the geometry
of a slab. We discuss why in a general situation the bulk and the boundary
contributions towards the CME are comparable. We show, however, that under
certain conditions the adiabatic CME is dominated by the Fermi arc states at
the boundary. We find that despite the topologically protected nature of the
Fermi arcs, their contribution to the CME is neither related to any topological
invariant nor can generally be calculated within the bulk low-energy effective
theory framework. For certain types of boundary, however, the Fermi arcs
contribution to the CME can be found from the effective low energy Weyl
Hamiltonian and the scattering phase characterising the collision of a Weyl
excitation with the boundary.
| cond-mat.mes-hall | the adiabatic chiral magnetic effect cme is a phenomenon by which a slowly oscillating magnetic field applied to a conducting medium induces an electric current in the instantaneous direction of the field here we theoretically investigate the effect in a ballistic weyl semimetal sample having the geometry of a slab we discuss why in a general situation the bulk and the boundary contributions towards the cme are comparable we show however that under certain conditions the adiabatic cme is dominated by the fermi arc states at the boundary we find that despite the topologically protected nature of the fermi arcs their contribution to the cme is neither related to any topological invariant nor can generally be calculated within the bulk lowenergy effective theory framework for certain types of boundary however the fermi arcs contribution to the cme can be found from the effective low energy weyl hamiltonian and the scattering phase characterising the collision of a weyl excitation with the boundary | [['the', 'adiabatic', 'chiral', 'magnetic', 'effect', 'cme', 'is', 'a', 'phenomenon', 'by', 'which', 'a', 'slowly', 'oscillating', 'magnetic', 'field', 'applied', 'to', 'a', 'conducting', 'medium', 'induces', 'an', 'electric', 'current', 'in', 'the', 'instantaneous', 'direction', 'of', 'the', 'field', 'here', 'we', 'theoretically', 'investigate', 'the', 'effect', 'in', 'a', 'ballistic', 'weyl', 'semimetal', 'sample', 'having', 'the', 'geometry', 'of', 'a', 'slab', 'we', 'discuss', 'why', 'in', 'a', 'general', 'situation', 'the', 'bulk', 'and', 'the', 'boundary', 'contributions', 'towards', 'the', 'cme', 'are', 'comparable', 'we', 'show', 'however', 'that', 'under', 'certain', 'conditions', 'the', 'adiabatic', 'cme', 'is', 'dominated', 'by', 'the', 'fermi', 'arc', 'states', 'at', 'the', 'boundary', 'we', 'find', 'that', 'despite', 'the', 'topologically', 'protected', 'nature', 'of', 'the', 'fermi', 'arcs', 'their', 'contribution', 'to', 'the', 'cme', 'is', 'neither', 'related', 'to', 'any', 'topological', 'invariant', 'nor', 'can', 'generally', 'be', 'calculated', 'within', 'the', 'bulk', 'lowenergy', 'effective', 'theory', 'framework', 'for', 'certain', 'types', 'of', 'boundary', 'however', 'the', 'fermi', 'arcs', 'contribution', 'to', 'the', 'cme', 'can', 'be', 'found', 'from', 'the', 'effective', 'low', 'energy', 'weyl', 'hamiltonian', 'and', 'the', 'scattering', 'phase', 'characterising', 'the', 'collision', 'of', 'a', 'weyl', 'excitation', 'with', 'the', 'boundary']] | [-0.19895590609228758, 0.22793617228890975, -0.093238248148505, 0.06886944278817253, -0.08353459794560204, -0.09490773326757809, 0.04259727391637052, 0.36613087958847146, -0.2598585040996904, -0.2914568349626494, 0.0392149653211988, -0.2553629184558247, -0.14444944598012088, 0.15276506993383088, -0.01152483338410093, 0.015092559406817283, 0.015247789730740167, 0.05080133757368887, -0.11203468816574685, -0.1704344306291538, 0.361291452666733, 0.02708880055167203, 0.29257884518075616, 0.09653882278521365, 0.04319407746213147, -0.02870173098791321, 0.04953002912189048, 0.06941758533824027, -0.11089756009243039, 0.049007072073323596, 0.1885518758494106, -0.061936338865979115, 0.18933460698896867, -0.455671695419448, -0.22212904880274525, 0.03139632177591231, 0.1368584891395088, 0.13615549296959192, -0.04787940069200089, -0.30388186848867016, 0.05735889882983073, -0.14331272241127277, -0.18028618046082556, -0.023812337023616764, 0.007392892084714974, -0.060920848324605675, -0.22023163031011542, 0.09877530255706356, 0.05072505035154198, 0.037781982850399076, -0.1047954051285369, -0.03649249024362367, -0.05920992863092641, 0.09152678306856603, 0.08679333973389627, 0.05840014247223735, 0.15684122814629112, -0.15367243477716025, -0.07889982962529667, 0.39329193696749876, -0.05854820503248769, -0.16250786326147013, 0.1806010973686063, -0.1904084470675483, -0.06798973787497868, 0.17102013213664108, 0.10834522087196385, 0.07463609606843957, -0.13733644734038422, 0.0984084240245121, -0.022435659826125786, 0.07619143928464803, 0.031042189471805412, 0.011962039669851269, 0.27048277128950593, 0.10369067882644649, 0.08087647340393492, 0.14024531498684414, -0.1400257600297839, -0.03792647405683717, -0.33209777247993655, -0.15742001338010098, -0.21130939661264883, 0.05293543992145782, -0.05790131657672844, -0.21651502967065905, 0.4372116551497338, 0.15410719545824186, 0.20101982053739498, -0.04675750481760164, 0.25932690002579495, 0.15975528605418246, 0.0646575777776979, 0.1344336958642563, 0.29835930507722663, 0.15172283720045773, 0.09953692041753982, -0.2866777792494883, 0.05407240010959947, 0.05827915144980139] |
1,802.00857 | Impact of near-PT symmetry on exciting solitons and interactions based
on a complex Ginzburg-Landau model | We present and theoretically report the influence of a class of
near-parity-time-(PT-) symmetric potentials with spectral filtering parameter
$\alpha_2$ and nonlinear gain-loss coefficient $\beta_2$ on solitons in the
complex Ginzburg-Landau (CGL) equation. The potentials do not admit
entirely-real linear spectra any more due to the existence of coefficients
$\alpha_2$ or $\beta_2$. However, we find that most stable exact solitons can
exist in the second quadrant of the $(\alpha_2, \beta_2)$ space, including on
the corresponding axes. More intriguingly, the centrosymmetric two points in
the $(\alpha_2, \beta_2)$ space possess imaginary-axis (longitudinal-axis)
symmetric linear-stability spectra. Furthermore, an unstable nonlinear mode can
be excited to another stable nonlinear mode by the adiabatic change of
$\alpha_2$ and $\beta_2$. Other fascinating properties associated with the
exact solitons are also examined in detail, such as the interactions and energy
flux. These results are useful for the related experimental designs and
applications.
| nlin.PS hep-th quant-ph | we present and theoretically report the influence of a class of nearparitytimept symmetric potentials with spectral filtering parameter alpha_2 and nonlinear gainloss coefficient beta_2 on solitons in the complex ginzburglandau cgl equation the potentials do not admit entirelyreal linear spectra any more due to the existence of coefficients alpha_2 or beta_2 however we find that most stable exact solitons can exist in the second quadrant of the alpha_2 beta_2 space including on the corresponding axes more intriguingly the centrosymmetric two points in the alpha_2 beta_2 space possess imaginaryaxis longitudinalaxis symmetric linearstability spectra furthermore an unstable nonlinear mode can be excited to another stable nonlinear mode by the adiabatic change of alpha_2 and beta_2 other fascinating properties associated with the exact solitons are also examined in detail such as the interactions and energy flux these results are useful for the related experimental designs and applications | [['we', 'present', 'and', 'theoretically', 'report', 'the', 'influence', 'of', 'a', 'class', 'of', 'nearparitytimept', 'symmetric', 'potentials', 'with', 'spectral', 'filtering', 'parameter', 'alpha_2', 'and', 'nonlinear', 'gainloss', 'coefficient', 'beta_2', 'on', 'solitons', 'in', 'the', 'complex', 'ginzburglandau', 'cgl', 'equation', 'the', 'potentials', 'do', 'not', 'admit', 'entirelyreal', 'linear', 'spectra', 'any', 'more', 'due', 'to', 'the', 'existence', 'of', 'coefficients', 'alpha_2', 'or', 'beta_2', 'however', 'we', 'find', 'that', 'most', 'stable', 'exact', 'solitons', 'can', 'exist', 'in', 'the', 'second', 'quadrant', 'of', 'the', 'alpha_2', 'beta_2', 'space', 'including', 'on', 'the', 'corresponding', 'axes', 'more', 'intriguingly', 'the', 'centrosymmetric', 'two', 'points', 'in', 'the', 'alpha_2', 'beta_2', 'space', 'possess', 'imaginaryaxis', 'longitudinalaxis', 'symmetric', 'linearstability', 'spectra', 'furthermore', 'an', 'unstable', 'nonlinear', 'mode', 'can', 'be', 'excited', 'to', 'another', 'stable', 'nonlinear', 'mode', 'by', 'the', 'adiabatic', 'change', 'of', 'alpha_2', 'and', 'beta_2', 'other', 'fascinating', 'properties', 'associated', 'with', 'the', 'exact', 'solitons', 'are', 'also', 'examined', 'in', 'detail', 'such', 'as', 'the', 'interactions', 'and', 'energy', 'flux', 'these', 'results', 'are', 'useful', 'for', 'the', 'related', 'experimental', 'designs', 'and', 'applications']] | [-0.16635735290197667, 0.16430345215309983, -0.03660075435892131, 0.04768936493077335, -0.09579748769640817, -0.16060775331822588, -0.04339108229878999, 0.41248867957991486, -0.22337977185016433, -0.23776798446312652, 0.08584038651191649, -0.2709553989958256, -0.1805300252687133, 0.21254224003645994, 0.03202709064865154, 0.04616851312791968, -0.016984210689783306, 0.029468298130107266, -0.07367318592377747, -0.17984240169720037, 0.34741882110965694, -0.03155718704170369, 0.22731295418232045, 0.009829785287997798, 0.025242767369387843, -0.04497713859008084, 0.058476382077189415, -0.0024772581437120466, -0.2043052127691426, 0.07290228486972604, 0.2360195792313163, -0.022686096033781557, 0.18093153784804522, -0.3824043385948695, -0.1773350446531219, 0.15881030497649776, 0.1733727835198032, 0.07543307916650958, -0.04387419441333437, -0.2593930446747558, 0.05338897476144505, -0.11317686907656438, -0.17295117743382665, -0.13859866374376204, 0.04050608518275809, 0.0961753954303431, -0.26350497708537, 0.15256046129085937, 0.06365822424661328, -0.005527445842538372, -0.09460974533725133, -0.1444684606382346, -0.09327372781443574, 0.050227884957831065, 0.06225419825880874, -0.0599009441442999, 0.08010366501233784, -0.11237331588772383, -0.0968647870657873, 0.40067697317729184, -0.05765005121839807, -0.22313481826890022, 0.1417543526544031, -0.13875360262137673, -0.11154758375871213, 0.14124699137404773, 0.14722626356256083, 0.15285206211116562, -0.04400500627432732, 0.10524013987701082, 0.006740932977025179, 0.1761986949457952, 0.10252434220032912, 0.052842792400971374, 0.17415158680461823, 0.06364797582892794, 0.06660676820712257, 0.07995526578916395, -0.0691967050132923, -0.09994824144143796, -0.2849643584671067, -0.10910588043827749, -0.16007615551344245, 0.03701837797633105, -0.12011202294261819, -0.1799365045058587, 0.42494798228408853, 0.08052941661407338, 0.2010579365272577, -0.0076695553667790505, 0.2205469773435001, 0.15442046276062515, 0.0363645325183657, 0.049973039499794446, 0.3005608147776402, 0.12349232296948157, 0.08600295407710769, -0.24637625742425434, 0.007211892901926387, 0.02082960473882127] |
1,802.00858 | Hierarchical evolutive systems, fuzzy categories and the living single
cell | In this article, the theory of hierarchical evolutive systems of Ehresmann
and Vandremeersch [Bull. Math. Bio. 49, 13-50 (1987)] is improved by
considering the categories of the theory as fuzzy sets whose elements are the
composite objects formed by the arrows and corresponding vertices of their
embedded graphs. This way each category can be represented as a point in the
states space [0.1]**N. The introduction of a diffeomorphism, that acts in this
context as a functor between categories, allows to define a measure preserving
dynamical system. In particular, we apply this formalism to describe a living
single cell. We propose for its state at a given time a hirerchical category
with three levels (molecular, coarse-grained and cellular levels) related by
adequate colimits. Each level involves the main functional and structural
modules in which the cell can be partitioned. The time evolution of the cell is
drived by a transformation which is a N-dimensional generalization of the
Ricker map whose parameters we propose to be determined by requiring that, as
hallmark of its behavior, the living cell to evolve at the edge of chaos. From
the dynamical point of view this property manifests in the fact that the
largest Lyapunov exponent is equal to zero. Since in a rather complete model of
the living cell the huge number of involved parameters can make of the
calculations a hard task, we also propose a toy model, with fewer parameters to
be determined, which emphasizes the cellular fission.
| q-bio.OT | in this article the theory of hierarchical evolutive systems of ehresmann and vandremeersch bull math bio 49 1350 1987 is improved by considering the categories of the theory as fuzzy sets whose elements are the composite objects formed by the arrows and corresponding vertices of their embedded graphs this way each category can be represented as a point in the states space 01n the introduction of a diffeomorphism that acts in this context as a functor between categories allows to define a measure preserving dynamical system in particular we apply this formalism to describe a living single cell we propose for its state at a given time a hirerchical category with three levels molecular coarsegrained and cellular levels related by adequate colimits each level involves the main functional and structural modules in which the cell can be partitioned the time evolution of the cell is drived by a transformation which is a ndimensional generalization of the ricker map whose parameters we propose to be determined by requiring that as hallmark of its behavior the living cell to evolve at the edge of chaos from the dynamical point of view this property manifests in the fact that the largest lyapunov exponent is equal to zero since in a rather complete model of the living cell the huge number of involved parameters can make of the calculations a hard task we also propose a toy model with fewer parameters to be determined which emphasizes the cellular fission | [['in', 'this', 'article', 'the', 'theory', 'of', 'hierarchical', 'evolutive', 'systems', 'of', 'ehresmann', 'and', 'vandremeersch', 'bull', 'math', 'bio', '49', '1350', '1987', 'is', 'improved', 'by', 'considering', 'the', 'categories', 'of', 'the', 'theory', 'as', 'fuzzy', 'sets', 'whose', 'elements', 'are', 'the', 'composite', 'objects', 'formed', 'by', 'the', 'arrows', 'and', 'corresponding', 'vertices', 'of', 'their', 'embedded', 'graphs', 'this', 'way', 'each', 'category', 'can', 'be', 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1,802.00859 | Seeds of Life in Space (SOLIS). III. Zooming into the methanol peak of
the pre-stellar core L1544 | Towards the pre-stellar core L1544, the methanol (CH$_3$OH) emission forms an
asymmetric ring around the core centre, where CH$_3$OH is mostly in solid form,
with a clear peak 4000~au to the north-east of the dust continuum peak. As part
of the NOEMA Large Project SOLIS (Seeds of Life in Space), the CH$_3$OH peak
has been spatially resolved to study its kinematics and physical structure and
to investigate the cause behind the local enhancement. We find that methanol
emission is distributed in a ridge parallel to the main axis of the dense core.
The centroid velocity increases by about 0.2~km~s$^{-1}$ and the velocity
dispersion increases from subsonic to transonic towards the central zone of the
core, where the velocity field also shows complex structure. This could be
indication of gentle accretion of material onto the core or interaction of two
filaments, producing a slow shock. We measure the rotational temperature and
show that methanol is in local thermodynamic equilibrium (LTE) only close to
the dust peak, where it is significantly depleted. The CH$_3$OH column density,
$N_{tot}({\rm CH_3OH})$, profile has been derived with non-LTE radiative
transfer modelling and compared with chemical models of a static core. The
measured $N_{tot}({\rm CH_3OH})$ profile is consistent with model predictions,
but the total column densities are one order of magnitude lower than those
predicted by models, suggesting that the efficiency of reactive desorption or
atomic hydrogen tunnelling adopted in the model may be overestimated; or that
an evolutionary model is needed to better reproduce methanol abundance.
| astro-ph.GA astro-ph.SR | towards the prestellar core l1544 the methanol ch_3oh emission forms an asymmetric ring around the core centre where ch_3oh is mostly in solid form with a clear peak 4000au to the northeast of the dust continuum peak as part of the noema large project solis seeds of life in space the ch_3oh peak has been spatially resolved to study its kinematics and physical structure and to investigate the cause behind the local enhancement we find that methanol emission is distributed in a ridge parallel to the main axis of the dense core the centroid velocity increases by about 02kms1 and the velocity dispersion increases from subsonic to transonic towards the central zone of the core where the velocity field also shows complex structure this could be indication of gentle accretion of material onto the core or interaction of two filaments producing a slow shock we measure the rotational temperature and show that methanol is in local thermodynamic equilibrium lte only close to the dust peak where it is significantly depleted the ch_3oh column density n_totrm ch_3oh profile has been derived with nonlte radiative transfer modelling and compared with chemical models of a static core the measured n_totrm ch_3oh profile is consistent with model predictions but the total column densities are one order of magnitude lower than those predicted by models suggesting that the efficiency of reactive desorption or atomic hydrogen tunnelling adopted in the model may be overestimated or that an evolutionary model is needed to better reproduce methanol abundance | [['towards', 'the', 'prestellar', 'core', 'l1544', 'the', 'methanol', 'ch_3oh', 'emission', 'forms', 'an', 'asymmetric', 'ring', 'around', 'the', 'core', 'centre', 'where', 'ch_3oh', 'is', 'mostly', 'in', 'solid', 'form', 'with', 'a', 'clear', 'peak', '4000au', 'to', 'the', 'northeast', 'of', 'the', 'dust', 'continuum', 'peak', 'as', 'part', 'of', 'the', 'noema', 'large', 'project', 'solis', 'seeds', 'of', 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