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1,802.0206
A study of two dwarf irregular galaxies with asymmetrical star formation distributions
Two dwarf irregular galaxies DDO 187 and NGC 3738 exhibit a striking pattern of star formation: intense star formation is taking place in a large region occupying roughly half of the inner part of the optical galaxy. We use data on the HI distribution and kinematics and stellar images and colors to examine the properties of the environment in the high star formation rate (HSF) halves of the galaxies in comparison with the low star formation rate (LSF) halves. We find that the pressure and gas density are higher on the HSF sides by 30-70%. In addition we find in both galaxies that the HI velocity fields exhibit significant deviations from ordered rotation and there are large regions of high velocity dispersion and multiple velocity components in the gas beyond the inner regions of the galaxies. The conditions in the HSF regions are likely the result of large-scale external processes affecting the internal environment of the galaxies and enabling the current star formation there.
astro-ph.GA
two dwarf irregular galaxies ddo 187 and ngc 3738 exhibit a striking pattern of star formation intense star formation is taking place in a large region occupying roughly half of the inner part of the optical galaxy we use data on the hi distribution and kinematics and stellar images and colors to examine the properties of the environment in the high star formation rate hsf halves of the galaxies in comparison with the low star formation rate lsf halves we find that the pressure and gas density are higher on the hsf sides by 3070 in addition we find in both galaxies that the hi velocity fields exhibit significant deviations from ordered rotation and there are large regions of high velocity dispersion and multiple velocity components in the gas beyond the inner regions of the galaxies the conditions in the hsf regions are likely the result of largescale external processes affecting the internal environment of the galaxies and enabling the current star formation there
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1,802.02061
Single crystal study of the charge density wave metal LuNiC2
We report on single crystal growth, single crystal x-ray diffraction, physical properties and density functional theory (DFT) electronic structure as well as Fermi surface calculations for two ternary carbides, LuCoC2 and LuNiC2. Electrical resistivity measurements reveal for LuNiC2 a charge density wave (CDW) transition at T_{CDW}~ 450 K and, for T > T_{CDW}, a significant anisotropy of the electrical resistivity, which is lowest along the orthorhombic a-axis. The analysis of x-ray superstructure reflections suggest a commensurate CDW state with a Peierls-type distortion of the Ni atom periodicity along the orthorhombic a-axis. DFT calculations based on the CDW modulated monoclinic structure model of LuNiC2 as compared to results of the orthorhombic parent-type reveal the formation of a partial CDW gap at the Fermi level which reduces the electronic density of states from N(E_{F})= 1.03 states/eV f.u. without CDW to N(E_{F})= 0.46 states/eV f.u. in the CDW state. The corresponding bare DFT Sommerfeld value of the latter, gamma_{DFT}^{CDW}= 0.90 mJ/molK^2, reaches reasonable agreement with the experimental value gamma= 0.83(5) mJ/mol\,K^2 of LuNiC2. LuCoC2 displays a simple metallic behavior with neither CDW ordering nor superconductivity above 0.4 K. Its experimental Sommerfeld coefficient, gamma= 5.9 (1) mJ/molK^2, is in realistic correspondence with the calculated, bare Sommerfeld coefficient, gamma_{DFT}= 3.82 mJ/molK^2, of orthorhombic LuCoC2.
cond-mat.str-el
we report on single crystal growth single crystal xray diffraction physical properties and density functional theory dft electronic structure as well as fermi surface calculations for two ternary carbides lucoc2 and lunic2 electrical resistivity measurements reveal for lunic2 a charge density wave cdw transition at t_cdw 450 k and for t t_cdw a significant anisotropy of the electrical resistivity which is lowest along the orthorhombic aaxis the analysis of xray superstructure reflections suggest a commensurate cdw state with a peierlstype distortion of the ni atom periodicity along the orthorhombic aaxis dft calculations based on the cdw modulated monoclinic structure model of lunic2 as compared to results of the orthorhombic parenttype reveal the formation of a partial cdw gap at the fermi level which reduces the electronic density of states from ne_f 103 statesev fu without cdw to ne_f 046 statesev fu in the cdw state the corresponding bare dft sommerfeld value of the latter gamma_dftcdw 090 mjmolk2 reaches reasonable agreement with the experimental value gamma 0835 mjmolk2 of lunic2 lucoc2 displays a simple metallic behavior with neither cdw ordering nor superconductivity above 04 k its experimental sommerfeld coefficient gamma 59 1 mjmolk2 is in realistic correspondence with the calculated bare sommerfeld coefficient gamma_dft 382 mjmolk2 of orthorhombic lucoc2
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1,802.02062
Reduction of the classical electromagnetism to a two-dimensional curved surface
The reduction of the three-dimensional classical electromagnetism is performed in a twofold way. In the first case the ordinary two-dimensional electromagnetism is obtained with sources in the form of conserved electric currents flowing along the surface. The electric field is a two-vector tangent to the surface and magnetic field is a scalar quantity. In the second approach the reduced theory is that of the two-vector magnetic field and a scalar electric one. The only source coupled to the fields is now a scalar subject to no conservation law. In the redefined theory this scalar source is may be converted into an eddy magnetic current flowing in the surface. No magnetic monopoles appear. Our results can find some applications in the electrodynamics of thin layers and of metal-dielectric interfaces.
physics.class-ph
the reduction of the threedimensional classical electromagnetism is performed in a twofold way in the first case the ordinary twodimensional electromagnetism is obtained with sources in the form of conserved electric currents flowing along the surface the electric field is a twovector tangent to the surface and magnetic field is a scalar quantity in the second approach the reduced theory is that of the twovector magnetic field and a scalar electric one the only source coupled to the fields is now a scalar subject to no conservation law in the redefined theory this scalar source is may be converted into an eddy magnetic current flowing in the surface no magnetic monopoles appear our results can find some applications in the electrodynamics of thin layers and of metaldielectric interfaces
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1,802.02063
Apically Dominant Mechanism for Improving Catalytic Activities of N-Doped Carbon Nanotube Arrays in Rechargeable Zinc-Air Battery
The oxygen reduction (ORR) and oxygen evolution reactions (OER) in Zn-air batteries (ZABs) require highly efficient, cost-effective and stable electrocatalysts as replacements to traditionally high cost, inconsistently stable and low poison resistant Platinum group metals (PGM) catalysts. Although, nitrogen-doped carbon nanotube (NCNT) arrays have been developed over recent decades through various advanced technologies are now capable of catalyzing ORR efficiently, their underdeveloped bifunctional property, hydrophobic surface, and detrimental preparation strategy are found to limit practical large-scale commercialization for effective rechargeable ZABs. Here, we have demonstrated fabrication of a three-dimensional (3D) nickel foam supported NCNT arrays with CoNi nanoparticles (NPs) encapsulated within the apical domain (denoted as CoNi@NCNT/NF) that exhibits excellent bifunctional catalytic performance toward both ORR (onset potential of 0.97 V vs. RHE) and OER (overpotential of 1.54 V vs. RHE at 10 mA cm$^{-2}$). We further examined the practicability of this CoNi@NCNT/NF material being used as an air electrode for rechargeable ZAB coin cell and pouch cell systems. The ZAB coin cell showed a peak power density of 108 mW cm$^{-2}$ with an energy density of 845 Wh kg$_{Zn}^{-1}$ and robust rechargeability over 28h under ambient conditions, which exceeds the performance of PGM catalysts and leading non-PGM electrocatalysts. In addition, density functional theory (DFT) calculations revealed that the ORR and OER catalytic performance of the CoNi@NCNT/NF electrode are mainly derived from the d-orbitals from the CoNi NPs encapsulated within the apical dominant end of the NCNTs.
physics.app-ph cond-mat.mtrl-sci
the oxygen reduction orr and oxygen evolution reactions oer in znair batteries zabs require highly efficient costeffective and stable electrocatalysts as replacements to traditionally high cost inconsistently stable and low poison resistant platinum group metals pgm catalysts although nitrogendoped carbon nanotube ncnt arrays have been developed over recent decades through various advanced technologies are now capable of catalyzing orr efficiently their underdeveloped bifunctional property hydrophobic surface and detrimental preparation strategy are found to limit practical largescale commercialization for effective rechargeable zabs here we have demonstrated fabrication of a threedimensional 3d nickel foam supported ncnt arrays with coni nanoparticles nps encapsulated within the apical domain denoted as conincntnf that exhibits excellent bifunctional catalytic performance toward both orr onset potential of 097 v vs rhe and oer overpotential of 154 v vs rhe at 10 ma cm2 we further examined the practicability of this conincntnf material being used as an air electrode for rechargeable zab coin cell and pouch cell systems the zab coin cell showed a peak power density of 108 mw cm2 with an energy density of 845 wh kg_zn1 and robust rechargeability over 28h under ambient conditions which exceeds the performance of pgm catalysts and leading nonpgm electrocatalysts in addition density functional theory dft calculations revealed that the orr and oer catalytic performance of the conincntnf electrode are mainly derived from the dorbitals from the coni nps encapsulated within the apical dominant end of the ncnts
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1,802.02064
Entropy-based approach to missing-links prediction
Link-prediction is an active research field within network theory, aiming at uncovering missing connections or predicting the emergence of future relationships from the observed network structure. This paper represents our contribution to the stream of research concerning missing links prediction. Here, we propose an entropy-based method to predict a given percentage of missing links, by identifying them with the most probable non-observed ones. The probability coefficients are computed by solving opportunely defined null-models over the accessible network structure. Upon comparing our likelihood-based, local method with the most popular algorithms over a set of economic, financial and food networks, we find ours to perform best, as pointed out by a number of statistical indicators (e.g. the precision, the area under the ROC curve, etc.). Moreover, the entropy-based formalism adopted in the present paper allows us to straightforwardly extend the link-prediction exercise to directed networks as well, thus overcoming one of the main limitations of current algorithms. The higher accuracy achievable by employing these methods - together with their larger flexibility - makes them strong competitors of available link-prediction algorithms.
physics.soc-ph physics.data-an
linkprediction is an active research field within network theory aiming at uncovering missing connections or predicting the emergence of future relationships from the observed network structure this paper represents our contribution to the stream of research concerning missing links prediction here we propose an entropybased method to predict a given percentage of missing links by identifying them with the most probable nonobserved ones the probability coefficients are computed by solving opportunely defined nullmodels over the accessible network structure upon comparing our likelihoodbased local method with the most popular algorithms over a set of economic financial and food networks we find ours to perform best as pointed out by a number of statistical indicators eg the precision the area under the roc curve etc moreover the entropybased formalism adopted in the present paper allows us to straightforwardly extend the linkprediction exercise to directed networks as well thus overcoming one of the main limitations of current algorithms the higher accuracy achievable by employing these methods together with their larger flexibility makes them strong competitors of available linkprediction algorithms
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1,802.02065
Optical Transitions and Localized Edge States in Skewed Phosphorene Nanoribbons
Using the Tight Binding (TB) parameters extracted from Density Functional Theory (DFT) and Recursive Green's Function method, it is shown that skewed-zigzag black phosphorous (phosphorene) nanoribbons obtain large and tuneable bandgap in response to vertical and transverse electric fields. Depending on the direction of the applied field the mid-gap states could possess the localized or metallic nature i.e. non-zero mid-gap density of states. Adjustability of the bandgap and optical dipole transition matrix elements are explained based on the symmetry of involved band edge states. This promises new electronic and optical devices based on phosphorene nanoribbons.
cond-mat.mes-hall
using the tight binding tb parameters extracted from density functional theory dft and recursive greens function method it is shown that skewedzigzag black phosphorous phosphorene nanoribbons obtain large and tuneable bandgap in response to vertical and transverse electric fields depending on the direction of the applied field the midgap states could possess the localized or metallic nature ie nonzero midgap density of states adjustability of the bandgap and optical dipole transition matrix elements are explained based on the symmetry of involved band edge states this promises new electronic and optical devices based on phosphorene nanoribbons
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1,802.02066
Fidelity of bacterial translation initiation: a stochastic kinetic model
During the initiation stage of protein synthesis, a ribosomal initiation complex (IC) is assembled on a messenger RNA (mRNA) template. In bacteria, the speed and accuracy of this assembly process are regulated by the complementary activities of three essential initiation factors (IFs). Selection of an authentic N-formylmethionyl-transfer RNA (fMet-tRNA\textsuperscript{fMet}) and the canonical, triplet-nucleotide mRNA start codon are crucial events during assembly of a canonical, ribosomal 70S IC. Mis-initiation due to the aberrant selection of an elongator tRNA or a non-canonical start codon are rare events that result in the assembly of a pseudo 70S IC or a non-canonical 70S IC, respectively. Here, we have developed a theoretical model for the stochastic kinetics of canonical-, pseudo-, and non-canonical 70S IC assembly that includes all of the major steps of the IC assembly process that have been observed and characterized in ensemble kinetic-, single-molecule kinetic-, and structural studies of the fidelity of translation initiation. Specifically, we use the rates of the individual steps in the IC assembly process and the formalism of first-passage times to derive exact analytical expressions for the probability distributions for the assembly of canonical-, pseudo- and non-canonical 70S ICs. In order to illustrate the power of this analytical approach, we compare the theoretically predicted first-passage time distributions with the corresponding computer simulation data. We also compare the mean times required for completion of these assemblies with experimental estimates. In addition to generating new, testable hypotheses, our theoretical model can also be easily extended as new experimental 70S IC assembly data become available, thereby providing a versatile tool for interpreting these data and developing advanced models of the mechanism and regulation of translation initiation.
physics.bio-ph physics.chem-ph q-bio.SC
during the initiation stage of protein synthesis a ribosomal initiation complex ic is assembled on a messenger rna mrna template in bacteria the speed and accuracy of this assembly process are regulated by the complementary activities of three essential initiation factors ifs selection of an authentic nformylmethionyltransfer rna fmettrnatextsuperscriptfmet and the canonical tripletnucleotide mrna start codon are crucial events during assembly of a canonical ribosomal 70s ic misinitiation due to the aberrant selection of an elongator trna or a noncanonical start codon are rare events that result in the assembly of a pseudo 70s ic or a noncanonical 70s ic respectively here we have developed a theoretical model for the stochastic kinetics of canonical pseudo and noncanonical 70s ic assembly that includes all of the major steps of the ic assembly process that have been observed and characterized in ensemble kinetic singlemolecule kinetic and structural studies of the fidelity of translation initiation specifically we use the rates of the individual steps in the ic assembly process and the formalism of firstpassage times to derive exact analytical expressions for the probability distributions for the assembly of canonical pseudo and noncanonical 70s ics in order to illustrate the power of this analytical approach we compare the theoretically predicted firstpassage time distributions with the corresponding computer simulation data we also compare the mean times required for completion of these assemblies with experimental estimates in addition to generating new testable hypotheses our theoretical model can also be easily extended as new experimental 70s ic assembly data become available thereby providing a versatile tool for interpreting these data and developing advanced models of the mechanism and regulation of translation initiation
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1,802.02067
Radiative cooling by tailoring surfaces with microstructures
We propose in this article a method to generate radiative coolers which are reflective in the solar spectrum and emissive in the transparency window of the atmosphere (8-13 $\mu$m). We choose an approach combining thermal control capacity of gratings and multi-layers. We use optimized BN, SiC and SiO 2 gratings, which have emissivity peak in the transparency window. We place under these gratings a metal/dielectric multi-layer structure to obtain a near perfect reflectivity in the solar spectrum and to enhance the emissivity in the transparency window. The optimized structures produce a good radiative cooling power density up to 80 W.m --2 .
physics.app-ph physics.optics
we propose in this article a method to generate radiative coolers which are reflective in the solar spectrum and emissive in the transparency window of the atmosphere 813 mum we choose an approach combining thermal control capacity of gratings and multilayers we use optimized bn sic and sio 2 gratings which have emissivity peak in the transparency window we place under these gratings a metaldielectric multilayer structure to obtain a near perfect reflectivity in the solar spectrum and to enhance the emissivity in the transparency window the optimized structures produce a good radiative cooling power density up to 80 wm 2
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1,802.02068
Fixing monotone Boolean networks asynchronously
The asynchronous automaton associated with a Boolean network $f:\{0,1\}^n\to\{0,1\}^n$ is considered in many applications. It is the finite deterministic automaton with set of states $\{0,1\}^n$, alphabet $\{1,\dots,n\}$, where the action of letter $i$ on a state $x$ consists in either switching the $i$th component if $f_i(x)\neq x_i$ or doing nothing otherwise. This action is extended to words in the natural way. We then say that a word $w$ fixes $f$ if, for all states $x$, the result of the action of $w$ on $x$ is a fixed point of $f$. In this paper, we ask for the existence of fixing words, and their minimal length. Firstly, our main results concern the minimal length of words that fix monotone networks. We prove that, for $n$ sufficiently large, there exists a monotone network $f$ with $n$ components such that any word fixing $f$ has length $\Omega(n^2)$. For this first result we prove, using Baranyai's theorem, a property about shortest supersequences that could be of independent interest: there exists a set of permutations of $\{1,\dots,n\}$ of size $2^{o(n)}$, such that any sequence containing all these permutations as subsequences is of length $\Omega(n^2)$. Conversely, we construct a word of length $O(n^3)$ that fixes all monotone networks with $n$ components. Secondly, we refine and extend our results to different classes of fixable networks, including networks with an acyclic interaction graph, increasing networks, conjunctive networks, monotone networks whose interaction graphs are contained in a given graph, and balanced networks.
math.CO cs.DM
the asynchronous automaton associated with a boolean network f01nto01n is considered in many applications it is the finite deterministic automaton with set of states 01n alphabet 1dotsn where the action of letter i on a state x consists in either switching the ith component if f_ixneq x_i or doing nothing otherwise this action is extended to words in the natural way we then say that a word w fixes f if for all states x the result of the action of w on x is a fixed point of f in this paper we ask for the existence of fixing words and their minimal length firstly our main results concern the minimal length of words that fix monotone networks we prove that for n sufficiently large there exists a monotone network f with n components such that any word fixing f has length omegan2 for this first result we prove using baranyais theorem a property about shortest supersequences that could be of independent interest there exists a set of permutations of 1dotsn of size 2on such that any sequence containing all these permutations as subsequences is of length omegan2 conversely we construct a word of length on3 that fixes all monotone networks with n components secondly we refine and extend our results to different classes of fixable networks including networks with an acyclic interaction graph increasing networks conjunctive networks monotone networks whose interaction graphs are contained in a given graph and balanced networks
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1,802.02069
Differentiation of measures in metric spaces
The theory of differentiation of measures originates from works of Besicovitch in the 1940's. His pioneering works, as well as subsequent developments of the theory, rely as fundamental tools on suitable covering properties. The first aim of these notes is to recall nowadays classical results about differentiation of measures in the metric setting together with the covering properties on which they are based. We will then focus on one of these covering properties, called in the present notes the weak Besicovitch covering property, which plays a central role in the characterization of (complete separable) metric spaces where the differentiation theorem holds for every (locally finite Borel regular) measure. We review in the last part of these notes recent results about the validity or non validity of this covering property.
math.MG math.CA
the theory of differentiation of measures originates from works of besicovitch in the 1940s his pioneering works as well as subsequent developments of the theory rely as fundamental tools on suitable covering properties the first aim of these notes is to recall nowadays classical results about differentiation of measures in the metric setting together with the covering properties on which they are based we will then focus on one of these covering properties called in the present notes the weak besicovitch covering property which plays a central role in the characterization of complete separable metric spaces where the differentiation theorem holds for every locally finite borel regular measure we review in the last part of these notes recent results about the validity or non validity of this covering property
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1,802.0207
New magnetic phase of the chiral skyrmion material Cu2OSeO3
The lack of inversion symmetry in the crystal lattice of magnetic materials gives rise to complex non-collinear spin orders through interactions of relativistic nature, resulting in interesting physical phenomena, such as emergent electromagnetism. Studies of cubic chiral magnets revealed a universal magnetic phase diagram, composed of helical spiral, conical spiral and skyrmion crystal phases. Here, we report a remarkable deviation from this universal behavior. By combining neutron diffraction with magnetization measurements we observe a new multi-domain state in Cu2OSeO3. Just below the upper critical field at which the conical spiral state disappears, the spiral wave vector rotates away from the magnetic field direction. This transition gives rise to large magnetic fluctuations. We clarify physical origin of the new state and discuss its multiferroic properties.
cond-mat.mtrl-sci cond-mat.str-el
the lack of inversion symmetry in the crystal lattice of magnetic materials gives rise to complex noncollinear spin orders through interactions of relativistic nature resulting in interesting physical phenomena such as emergent electromagnetism studies of cubic chiral magnets revealed a universal magnetic phase diagram composed of helical spiral conical spiral and skyrmion crystal phases here we report a remarkable deviation from this universal behavior by combining neutron diffraction with magnetization measurements we observe a new multidomain state in cu2oseo3 just below the upper critical field at which the conical spiral state disappears the spiral wave vector rotates away from the magnetic field direction this transition gives rise to large magnetic fluctuations we clarify physical origin of the new state and discuss its multiferroic properties
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1,802.02071
Measurement of the nuclear modification factor for high-$p_{\mathrm{T}}$ charged hadrons in $p$+Pb collisions with the ATLAS detector
The charged hadron spectra in $p$+Pb and $pp$ collisions at $\sqrt{s_{NN}}=\sqrt{s}=5.02$TeV are measured with the ATLAS experiment at the LHC. The measurements are performed with $p$+Pb data recorded in 2013 with an integrated luminosity of 25nb${}^{-1}$ and $pp$ data recorded in 2015 with an integrated luminosity of 28pb${}^{-1}$. The $p$+Pb results are compared to $pp$ spectra, presented as a ratio of transverse momentum distributions in the two systems scaled by the number of binary nucleon-nucleon collisions, the nuclear modification factor $R_{p \mathrm{Pb}}$. The study of $R_\mathrm{pPb}$ allows a detailed comparison of the collision systems in different centrality intervals and in a wide range of transverse momentum. It is shown that the nuclear modification factor does not have any significant deviation from unity in the high transverse momentum region.
hep-ex nucl-ex
the charged hadron spectra in ppb and pp collisions at sqrts_nnsqrts502tev are measured with the atlas experiment at the lhc the measurements are performed with ppb data recorded in 2013 with an integrated luminosity of 25nb1 and pp data recorded in 2015 with an integrated luminosity of 28pb1 the ppb results are compared to pp spectra presented as a ratio of transverse momentum distributions in the two systems scaled by the number of binary nucleonnucleon collisions the nuclear modification factor r_p mathrmpb the study of r_mathrmppb allows a detailed comparison of the collision systems in different centrality intervals and in a wide range of transverse momentum it is shown that the nuclear modification factor does not have any significant deviation from unity in the high transverse momentum region
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1,802.02072
Local Energy Optimality of Periodic Sets
We study the local optimality of periodic point sets in $\mathbb{R}^n$ for energy minimization in the Gaussian core model, that is, for radial pair potential functions $f_c(r)=e^{-c r}$ with $c>0$. By considering suitable parameter spaces for $m$-periodic sets, we can locally rigorously analyze the energy of point sets, within the family of periodic sets having the same point density. We derive a characterization of periodic point sets being $f_c$-critical for all $c$ in terms of weighted spherical $2$-designs contained in the set. Especially for $2$-periodic sets like the family $\mathsf{D}^+_n$ we obtain expressions for the hessian of the energy function, allowing to certify $f_c$-optimality in certain cases. For odd integers $n\geq 9$ we can hereby in particular show that $\mathsf{D}^+_n$ is locally $f_c$-optimal among periodic sets for all sufficiently large~$c$.
math.MG math-ph math.MP math.NT
we study the local optimality of periodic point sets in mathbbrn for energy minimization in the gaussian core model that is for radial pair potential functions f_crec r with c0 by considering suitable parameter spaces for mperiodic sets we can locally rigorously analyze the energy of point sets within the family of periodic sets having the same point density we derive a characterization of periodic point sets being f_ccritical for all c in terms of weighted spherical 2designs contained in the set especially for 2periodic sets like the family mathsfd_n we obtain expressions for the hessian of the energy function allowing to certify f_coptimality in certain cases for odd integers ngeq 9 we can hereby in particular show that mathsfd_n is locally f_coptimal among periodic sets for all sufficiently largec
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1,802.02073
Control of fluctuations and heavy tails for heat variation in the two-time measurement framework
We study heat fluctuations in the two-time measurement framework. For bounded perturbations, we give sufficient ultraviolet regularity conditions on the perturbation for the moments of the heat variation to be uniformly bounded in time, and for the Fourier transform of the heat variation distribution to be analytic and uniformly bounded in time in a complex neighborhood of 0. On a set of canonical examples, with bounded and unbounded perturbations, we show that our ultraviolet conditions are essentially necessary. If the form factor of the perturbation does not meet our assumptions, the heat variation distribution exhibits heavy tails. The tails can be as heavy as preventing the existence of a fourth moment of the heat variation.
math-ph math.MP quant-ph
we study heat fluctuations in the twotime measurement framework for bounded perturbations we give sufficient ultraviolet regularity conditions on the perturbation for the moments of the heat variation to be uniformly bounded in time and for the fourier transform of the heat variation distribution to be analytic and uniformly bounded in time in a complex neighborhood of 0 on a set of canonical examples with bounded and unbounded perturbations we show that our ultraviolet conditions are essentially necessary if the form factor of the perturbation does not meet our assumptions the heat variation distribution exhibits heavy tails the tails can be as heavy as preventing the existence of a fourth moment of the heat variation
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1,802.02074
Splitting models for multivariate count data
Considering discrete models, the univariate framework has been studied in depth compared to the multivariate one. This paper first proposes two criteria to define a sensu stricto multivariate discrete distribution. It then introduces the class of splitting distributions that encompasses all usual multivariate discrete distributions (multinomial, negative multinomial, multivariate hypergeometric, multivariate neg- ative hypergeometric, etc . . . ) and contains several new. Many advantages derive from the compound aspect of split- ting distributions. It simplifies the study of their characteris- tics, inferences, interpretations and extensions to regression models. Moreover, splitting models can be estimated only by combining existing methods, as illustrated on three datasets with reproducible studies.
math.ST math.PR stat.TH
considering discrete models the univariate framework has been studied in depth compared to the multivariate one this paper first proposes two criteria to define a sensu stricto multivariate discrete distribution it then introduces the class of splitting distributions that encompasses all usual multivariate discrete distributions multinomial negative multinomial multivariate hypergeometric multivariate neg ative hypergeometric etc and contains several new many advantages derive from the compound aspect of split ting distributions it simplifies the study of their characteris tics inferences interpretations and extensions to regression models moreover splitting models can be estimated only by combining existing methods as illustrated on three datasets with reproducible studies
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1,802.02075
Analytic Reflected Lightcurves for Exoplanets
The disk-integrated reflected brightness of an exoplanet changes as a function of time due to orbital and rotational motion coupled with an inhomogeneous albedo map. We have previously derived analytic reflected lightcurves for spherical harmonic albedo maps in the special case of a synchronously-rotating planet on an edge-on orbit (Cowan, Fuentes & Haggard 2013). In this paper, we present analytic reflected lightcurves for the general case of a planet on an inclined orbit, with arbitrary spin period and non-zero obliquity. We do so for two different albedo basis maps: bright points ($\delta$-maps), and spherical harmonics ($Y_l^m$-maps). In particular, we use Wigner $D$-matrices to express an harmonic lightcurve for an arbitrary viewing geometry as a non-linear combination of harmonic lightcurves for the simpler edge-on, synchronously rotating geometry. These solutions will enable future exploration of the degeneracies and information content of reflected lightcurves, as well as fast calculation of lightcurves for mapping exoplanets based on time-resolved photometry. To these ends we make available Exoplanet Analytic Reflected Lightcurves (EARL), a simple open-source code that allows rapid computation of reflected lightcurves.
astro-ph.EP astro-ph.IM
the diskintegrated reflected brightness of an exoplanet changes as a function of time due to orbital and rotational motion coupled with an inhomogeneous albedo map we have previously derived analytic reflected lightcurves for spherical harmonic albedo maps in the special case of a synchronouslyrotating planet on an edgeon orbit cowan fuentes haggard 2013 in this paper we present analytic reflected lightcurves for the general case of a planet on an inclined orbit with arbitrary spin period and nonzero obliquity we do so for two different albedo basis maps bright points deltamaps and spherical harmonics y_lmmaps in particular we use wigner dmatrices to express an harmonic lightcurve for an arbitrary viewing geometry as a nonlinear combination of harmonic lightcurves for the simpler edgeon synchronously rotating geometry these solutions will enable future exploration of the degeneracies and information content of reflected lightcurves as well as fast calculation of lightcurves for mapping exoplanets based on timeresolved photometry to these ends we make available exoplanet analytic reflected lightcurves earl a simple opensource code that allows rapid computation of reflected lightcurves
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1,802.02076
Uplink Channel Estimation and Data Transmission in Millimeter-Wave CRAN with Lens Antenna Arrays
Millimeter-wave (mmWave) communication and network densification hold great promise for achieving high-rate communication in next-generation wireless networks. Cloud radio access network (CRAN), in which low-complexity remote radio heads (RRHs) coordinated by a central unit (CU) are deployed to serve users in a distributed manner, is a cost-effective solution to achieve network densification. However, when operating over a large bandwidth in the mmWave frequencies, the digital fronthaul links in a CRAN would be easily saturated by the large amount of sampled and quantized signals to be transferred between RRHs and the CU. To tackle this challenge, we propose in this paper a new architecture for mmWave-based CRAN with advanced lens antenna arrays at the RRHs. Due to the energy focusing property, lens antenna arrays are effective in exploiting the angular sparsity of mmWave channels, and thus help in substantially reducing the fronthaul rate and simplifying the signal processing at the multi-antenna RRHs and the CU, even when the channels are frequency-selective. We consider the uplink transmission in a mmWave CRAN with lens antenna arrays and propose a low-complexity quantization bit allocation scheme for multiple antennas at each RRH to meet the given fronthaul rate constraint. Further, we propose a channel estimation technique that exploits the energy focusing property of the lens array and can be implemented at the CU with low complexity. Finally, we compare the proposed mmWave CRAN using lens antenna arrays with a conventional CRAN using uniform planar arrays at the RRHs, and show that the proposed design achieves significant throughput gains, yet with much lower complexity.
cs.IT math.IT
millimeterwave mmwave communication and network densification hold great promise for achieving highrate communication in nextgeneration wireless networks cloud radio access network cran in which lowcomplexity remote radio heads rrhs coordinated by a central unit cu are deployed to serve users in a distributed manner is a costeffective solution to achieve network densification however when operating over a large bandwidth in the mmwave frequencies the digital fronthaul links in a cran would be easily saturated by the large amount of sampled and quantized signals to be transferred between rrhs and the cu to tackle this challenge we propose in this paper a new architecture for mmwavebased cran with advanced lens antenna arrays at the rrhs due to the energy focusing property lens antenna arrays are effective in exploiting the angular sparsity of mmwave channels and thus help in substantially reducing the fronthaul rate and simplifying the signal processing at the multiantenna rrhs and the cu even when the channels are frequencyselective we consider the uplink transmission in a mmwave cran with lens antenna arrays and propose a lowcomplexity quantization bit allocation scheme for multiple antennas at each rrh to meet the given fronthaul rate constraint further we propose a channel estimation technique that exploits the energy focusing property of the lens array and can be implemented at the cu with low complexity finally we compare the proposed mmwave cran using lens antenna arrays with a conventional cran using uniform planar arrays at the rrhs and show that the proposed design achieves significant throughput gains yet with much lower complexity
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1,802.02077
Dynkin isomorphism and Mermin--Wagner theorems for hyperbolic sigma models and recurrence of the two-dimensional vertex-reinforced jump process
We prove the vertex-reinforced jump process (VRJP) is recurrent in two dimensions for any translation invariant finite range initial rates. Our proof has two main ingredients. The first is a direct connection between the VRJP and sigma models whose target space is a hyperbolic space $\mathbb{H}^n$ or its supersymmetric counterpart $\mathbb{H}^{2|2}$. These results are analogues of well-known relations between the Gaussian free field and the local times of simple random walk. The second ingredient is a Mermin--Wagner theorem for these sigma models. This result is of intrinsic interest for the sigma models and also implies our main theorem on the VRJP. Surprisingly, our Mermin--Wagner theorem applies even though the symmetry groups of $\mathbb{H}^n$ and $\mathbb{H}^{2|2}$ are non-amenable.
math-ph math.MP math.PR
we prove the vertexreinforced jump process vrjp is recurrent in two dimensions for any translation invariant finite range initial rates our proof has two main ingredients the first is a direct connection between the vrjp and sigma models whose target space is a hyperbolic space mathbbhn or its supersymmetric counterpart mathbbh22 these results are analogues of wellknown relations between the gaussian free field and the local times of simple random walk the second ingredient is a merminwagner theorem for these sigma models this result is of intrinsic interest for the sigma models and also implies our main theorem on the vrjp surprisingly our merminwagner theorem applies even though the symmetry groups of mathbbhn and mathbbh22 are nonamenable
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1,802.02078
Analogues of centralizer subalgebras for fiat 2-categories and their 2-representations
The main result of this paper establishes a bijection between the set of equivalence classes of simple transitive $2$-representations with a fixed apex $\mathcal{J}$ of a fiat $2$-category $\cC$ and the set of equivalence classes of faithful simple transitive $2$-representations of the fiat $2$-subquotient of $\cC$ associated with a diagonal $\mathcal{H}$-cell in $\mathcal{J}$. As an application, we classify simple transitive $2$-representations of various categories of Soergel bimodules, in particular, completing the classification in types $B_3$ and $B_4$.
math.RT math.CT
the main result of this paper establishes a bijection between the set of equivalence classes of simple transitive 2representations with a fixed apex mathcalj of a fiat 2category cc and the set of equivalence classes of faithful simple transitive 2representations of the fiat 2subquotient of cc associated with a diagonal mathcalhcell in mathcalj as an application we classify simple transitive 2representations of various categories of soergel bimodules in particular completing the classification in types b_3 and b_4
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1,802.02079
Kinematics of a Fluid Ellipse in a Linear Flow
A four-parameter kinematic model for the position of a fluid parcel in a time-varying ellipse is introduced. For any ellipse advected by an arbitrary linear two-dimensional flow, the rates of change of the ellipse parameters are uniquely determined by the four parameters of the velocity gradient matrix, and vice versa. This result, termed ellipse/flow equivalence, provides a stronger version of the well-known result that a linear velocity field maps an ellipse into another ellipse. Moreover, ellipse/flow equivalence is shown to be a manifestation of Stokes' theorem. This is done by deriving a matrix-valued extension of the classical Stokes' theorem that involves a spatial integral over the velocity gradient tensor, thus accounting for the two strain terms in addition to the divergence and vorticity. General expressions for various physical properties of an elliptical ring of fluid are also derived. The ellipse kinetic energy is found to be composed of three portions, associated respectively with the circulation, the rate of change of the moment of inertia, and the variance of parcel angular velocity around the ellipse. A particular innovation is the use of four matrices, termed the IJKL basis, that greatly facilitate the required calculations.
physics.ao-ph physics.flu-dyn
a fourparameter kinematic model for the position of a fluid parcel in a timevarying ellipse is introduced for any ellipse advected by an arbitrary linear twodimensional flow the rates of change of the ellipse parameters are uniquely determined by the four parameters of the velocity gradient matrix and vice versa this result termed ellipseflow equivalence provides a stronger version of the wellknown result that a linear velocity field maps an ellipse into another ellipse moreover ellipseflow equivalence is shown to be a manifestation of stokes theorem this is done by deriving a matrixvalued extension of the classical stokes theorem that involves a spatial integral over the velocity gradient tensor thus accounting for the two strain terms in addition to the divergence and vorticity general expressions for various physical properties of an elliptical ring of fluid are also derived the ellipse kinetic energy is found to be composed of three portions associated respectively with the circulation the rate of change of the moment of inertia and the variance of parcel angular velocity around the ellipse a particular innovation is the use of four matrices termed the ijkl basis that greatly facilitate the required calculations
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1,802.0208
Multi-Temporal Land Cover Classification with Sequential Recurrent Encoders
Earth observation (EO) sensors deliver data with daily or weekly temporal resolution. Most land use and land cover (LULC) approaches, however, expect cloud-free and mono-temporal observations. The increasing temporal capabilities of today's sensors enables the use of temporal, along with spectral and spatial features. Domains, such as speech recognition or neural machine translation, work with inherently temporal data and, today, achieve impressive results using sequential encoder-decoder structures. Inspired by these sequence-to-sequence models, we adapt an encoder structure with convolutional recurrent layers in order to approximate a phenological model for vegetation classes based on a temporal sequence of Sentinel 2 (S2) images. In our experiments, we visualize internal activations over a sequence of cloudy and non-cloudy images and find several recurrent cells, which reduce the input activity for cloudy observations. Hence, we assume that our network has learned cloud-filtering schemes solely from input data, which could alleviate the need for tedious cloud-filtering as a preprocessing step for many EO approaches. Moreover, using unfiltered temporal series of top-of-atmosphere (TOA) reflectance data, we achieved in our experiments state-of-the-art classification accuracies on a large number of crop classes with minimal preprocessing compared to other classification approaches.
cs.CV
earth observation eo sensors deliver data with daily or weekly temporal resolution most land use and land cover lulc approaches however expect cloudfree and monotemporal observations the increasing temporal capabilities of todays sensors enables the use of temporal along with spectral and spatial features domains such as speech recognition or neural machine translation work with inherently temporal data and today achieve impressive results using sequential encoderdecoder structures inspired by these sequencetosequence models we adapt an encoder structure with convolutional recurrent layers in order to approximate a phenological model for vegetation classes based on a temporal sequence of sentinel 2 s2 images in our experiments we visualize internal activations over a sequence of cloudy and noncloudy images and find several recurrent cells which reduce the input activity for cloudy observations hence we assume that our network has learned cloudfiltering schemes solely from input data which could alleviate the need for tedious cloudfiltering as a preprocessing step for many eo approaches moreover using unfiltered temporal series of topofatmosphere toa reflectance data we achieved in our experiments stateoftheart classification accuracies on a large number of crop classes with minimal preprocessing compared to other classification approaches
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1,802.02081
Loss of regularity for the continuity equation with non-Lipschitz velocity field
We consider the Cauchy problem for the continuity equation in space dimension ${d \geq 2}$. We construct a divergence-free velocity field uniformly bounded in all Sobolev spaces $W^{1,p}$, for $1 \leq p<\infty$, and a smooth compactly supported initial datum such that the unique solution to the continuity equation with this initial datum and advecting field does not belong to any Sobolev space of positive fractional order at any positive time. We also construct velocity fields in $W^{r,p}$, with $r>1$, and solutions of the continuity equation with these velocities that exhibit some loss of regularity, as long as the Sobolev space $W^{r,p}$ does not embed in the space of Lipschitz functions. Our constructions are based on examples of optimal mixers from the companion paper "Exponential self-similar mixing by incompressible flows" (J. Amer. Math. Soc. 32 (2019), no. 2), and have been announced in "Exponential self-similar mixing and loss of regularity for continuity equations" (C. R. Math. Acad. Sci. Paris, 352 (2014), no. 11).
math.AP
we consider the cauchy problem for the continuity equation in space dimension d geq 2 we construct a divergencefree velocity field uniformly bounded in all sobolev spaces w1p for 1 leq pinfty and a smooth compactly supported initial datum such that the unique solution to the continuity equation with this initial datum and advecting field does not belong to any sobolev space of positive fractional order at any positive time we also construct velocity fields in wrp with r1 and solutions of the continuity equation with these velocities that exhibit some loss of regularity as long as the sobolev space wrp does not embed in the space of lipschitz functions our constructions are based on examples of optimal mixers from the companion paper exponential selfsimilar mixing by incompressible flows j amer math soc 32 2019 no 2 and have been announced in exponential selfsimilar mixing and loss of regularity for continuity equations c r math acad sci paris 352 2014 no 11
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1,802.02082
A new method for proving some inequalities related to several special functions
In this paper we present a new approach to proving some exponential inequalities involving the sinc function. Power series expansions are used to generate new polynomial inequalities that are sufficient to prove the given exponential inequalities.
math.CA
in this paper we present a new approach to proving some exponential inequalities involving the sinc function power series expansions are used to generate new polynomial inequalities that are sufficient to prove the given exponential inequalities
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1,802.02083
Reconfigurable high Gain split Ring Resonator Microstrip Patch Antenna
In this paper, reconfigurable high gain split ring resonator microstrip patch antenna is designed and analysed. The aim to design such type antenna is to achieve multiband application which is the demand of current technology in frequency reconfiguration within single antenna. Here microstrip patch antenna with rectangle shape of patch with patch dimension 11.6*11.6 mm2 is analysed. The proposed design is tuned with two bands in the frequency range of 5-9 GHz depending on the geometric specification of antenna and the location of feed which can be used for multiband applications. Design results of VSWR, return loss (S11), bandwidth and gain are shown in this paper which is obtained by high frequency structure simulator (HFSS) which is used for simulating microwave passive components.
eess.SP
in this paper reconfigurable high gain split ring resonator microstrip patch antenna is designed and analysed the aim to design such type antenna is to achieve multiband application which is the demand of current technology in frequency reconfiguration within single antenna here microstrip patch antenna with rectangle shape of patch with patch dimension 116116 mm2 is analysed the proposed design is tuned with two bands in the frequency range of 59 ghz depending on the geometric specification of antenna and the location of feed which can be used for multiband applications design results of vswr return loss s11 bandwidth and gain are shown in this paper which is obtained by high frequency structure simulator hfss which is used for simulating microwave passive components
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1,802.02084
Heavy meson dissociation in a plasma with magnetic fields
The fraction of heavy vector mesons detected after a heavy ion collision provides information about the possible formation of a plasma state. An interesting framework for estimating the degree of dissociation of heavy mesons in a plasma is the holographic approach. It has been recently shown that a consistent picture for the thermal behavior of charmonium and bottomonium states in a thermal medium emerges from holographic bottom up models. A crucial ingredient in this new approach is the appropriate description of decay constants, since they are related to the heights of the quasiparticle peaks of the finite temperature spectral function. Here we extend this new holographic model in order to study the effect of magnetic fields on the thermal spectrum of heavy mesons. The motivation is that very large magnetic fields are present in non central heavy ion collisions and this could imply a change in the dissociation scenario. The thermal spectra of $ c \bar c$ and $ b \bar b \, $ S wave states is obtained for different temperatures and different values of the magnetic $e B$ field.
hep-ph
the fraction of heavy vector mesons detected after a heavy ion collision provides information about the possible formation of a plasma state an interesting framework for estimating the degree of dissociation of heavy mesons in a plasma is the holographic approach it has been recently shown that a consistent picture for the thermal behavior of charmonium and bottomonium states in a thermal medium emerges from holographic bottom up models a crucial ingredient in this new approach is the appropriate description of decay constants since they are related to the heights of the quasiparticle peaks of the finite temperature spectral function here we extend this new holographic model in order to study the effect of magnetic fields on the thermal spectrum of heavy mesons the motivation is that very large magnetic fields are present in non central heavy ion collisions and this could imply a change in the dissociation scenario the thermal spectra of c bar c and b bar b s wave states is obtained for different temperatures and different values of the magnetic e b field
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1,802.02085
Path Selection and Rate Allocation in Self-Backhauled mmWave Networks
We investigate the problem of multi-hop scheduling in self-backhauled millimeter wave (mmWave) networks. Owing to the high path loss and blockage of mmWave links, multi-hop paths between the macro base station and the intended users via full-duplex small cells need to be carefully selected. This paper addresses the fundamental question: how to select the best paths and how to allocate rates over these paths subject to latency constraints. To answer this question, we propose a new system design, which factors in mmWave-specific channel variations and network dynamics. The problem is cast as a network utility maximization subject to a bounded delay constraint and network stability. The studied problem is decoupled into: (i) a path selection and (ii) rate allocation, whereby learning the best paths is done by means of a reinforcement learning algorithm, and the rate allocation is solved by applying the successive convex approximation method. Via numerical results, our approach ensures reliable communication with a guaranteed probability of 99.9999%, and reduces latency by 50.64% and 92.9% as compared to baselines.
cs.NI
we investigate the problem of multihop scheduling in selfbackhauled millimeter wave mmwave networks owing to the high path loss and blockage of mmwave links multihop paths between the macro base station and the intended users via fullduplex small cells need to be carefully selected this paper addresses the fundamental question how to select the best paths and how to allocate rates over these paths subject to latency constraints to answer this question we propose a new system design which factors in mmwavespecific channel variations and network dynamics the problem is cast as a network utility maximization subject to a bounded delay constraint and network stability the studied problem is decoupled into i a path selection and ii rate allocation whereby learning the best paths is done by means of a reinforcement learning algorithm and the rate allocation is solved by applying the successive convex approximation method via numerical results our approach ensures reliable communication with a guaranteed probability of 999999 and reduces latency by 5064 and 929 as compared to baselines
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1,802.02086
The Near-Infrared Transmission Spectra of TRAPPIST-1 Planets b, c, d, e, f, and g and Stellar Contamination in Multi-Epoch Transit Spectra
The seven approximately Earth-sized transiting planets in the \object{TRAPPIST-1} system provide a unique opportunity to explore habitable zone and non-habitable zone small planets within the same system. Its habitable zone exoplanets -- due to their favorable transit depths -- are also worlds for which atmospheric transmission spectroscopy is within reach with the Hubble Space Telescope (HST) and with the James Webb Space Telescope (JWST). We present here an independent reduction and analysis of two \textit{HST} Wide Field Camera 3 (WFC3) near-infrared transit spectroscopy datasets for six planets (b through g). Utilizing our physically-motivated detector charge trap correction and a custom cosmic ray correction routine, we confirm the general shape of the transmission spectra presented by \textbf{\citet{deWit2016, deWit2018}}. Our data reduction approach leads to a 25\% increase in the usable data and reduces the risk of confusing astrophysical brightness variations (e.g., flares) with instrumental systematics. No prominent absorption features are detected in any individual planet's transmission spectra; by contrast, the combined spectrum of the planets shows a suggestive decrease around 1.4\,$\micron$ similar to an inverted water absorption feature. Including transit depths from \textit{K2}, the SPECULOOS-South Observatory, and \textit{Spitzer}, we find that the complete transmission spectrum is fully consistent with stellar contamination owing to the transit light source effect. These spectra demonstrate how stellar contamination can overwhelm planetary absorption features in low-resolution exoplanet transit spectra obtained by \textit{HST} and \textit{JWST} and also highlight the challenges in combining multi epoch observations for planets around rapidly rotating spotted stars.
astro-ph.EP
the seven approximately earthsized transiting planets in the objecttrappist1 system provide a unique opportunity to explore habitable zone and nonhabitable zone small planets within the same system its habitable zone exoplanets due to their favorable transit depths are also worlds for which atmospheric transmission spectroscopy is within reach with the hubble space telescope hst and with the james webb space telescope jwst we present here an independent reduction and analysis of two textithst wide field camera 3 wfc3 nearinfrared transit spectroscopy datasets for six planets b through g utilizing our physicallymotivated detector charge trap correction and a custom cosmic ray correction routine we confirm the general shape of the transmission spectra presented by textbfcitetdewit2016 dewit2018 our data reduction approach leads to a 25 increase in the usable data and reduces the risk of confusing astrophysical brightness variations eg flares with instrumental systematics no prominent absorption features are detected in any individual planets transmission spectra by contrast the combined spectrum of the planets shows a suggestive decrease around 14micron similar to an inverted water absorption feature including transit depths from textitk2 the speculoossouth observatory and textitspitzer we find that the complete transmission spectrum is fully consistent with stellar contamination owing to the transit light source effect these spectra demonstrate how stellar contamination can overwhelm planetary absorption features in lowresolution exoplanet transit spectra obtained by textithst and textitjwst and also highlight the challenges in combining multi epoch observations for planets around rapidly rotating spotted stars
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1,802.02087
Deciding Detectability for Labeled Petri Nets
Detectability of discrete event systems (DESs) is a property to determine a priori whether the current and subsequent states can be determined based on observations. In this paper, we investigate the verification of two detectability properties -- strong detectability and weak detectability -- for DESs modeled by labeled Petri nets. Strong detectability requires that we can always determine, after a finite number of observations, the current and subsequent markings of the system, while weak detectability requires that we can determine, after a finite number of observations, the current and subsequent markings for some trajectories of the system. We show that for DESs modeled by labeled Petri nets, checking strong detectability is decidable whereas checking weak detectability is undecidable. Our results extend the existing studies on the verification of detectability from finite-state automata to labeled Petri nets. As a consequence, we strengthen a result on checking current-state opacity for labeled Petri nets.
cs.LO cs.FL cs.SY
detectability of discrete event systems dess is a property to determine a priori whether the current and subsequent states can be determined based on observations in this paper we investigate the verification of two detectability properties strong detectability and weak detectability for dess modeled by labeled petri nets strong detectability requires that we can always determine after a finite number of observations the current and subsequent markings of the system while weak detectability requires that we can determine after a finite number of observations the current and subsequent markings for some trajectories of the system we show that for dess modeled by labeled petri nets checking strong detectability is decidable whereas checking weak detectability is undecidable our results extend the existing studies on the verification of detectability from finitestate automata to labeled petri nets as a consequence we strengthen a result on checking currentstate opacity for labeled petri nets
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1,802.02088
A Log-Euclidean and Total Variation based Variational Framework for Computational Sonography
We propose a spatial compounding technique and variational framework to improve 3D ultrasound image quality by compositing multiple ultrasound volumes acquired from different probe orientations. In the composite volume, instead of intensity values, we estimate a tensor at every voxel. The resultant tensor image encapsulates the directional information of the underlying imaging data and can be used to generate ultrasound volumes from arbitrary, potentially unseen, probe positions. Extending the work of Hennersperger et al., we introduce a log-Euclidean framework to ensure that the tensors are positive-definite, eventually ensuring non-negative images. Additionally, we regularise the underpinning ill-posed variational problem while preserving edge information by relying on a total variation penalisation of the tensor field in the log domain. We present results on in vivo human data to show the efficacy of the approach.
cs.CV
we propose a spatial compounding technique and variational framework to improve 3d ultrasound image quality by compositing multiple ultrasound volumes acquired from different probe orientations in the composite volume instead of intensity values we estimate a tensor at every voxel the resultant tensor image encapsulates the directional information of the underlying imaging data and can be used to generate ultrasound volumes from arbitrary potentially unseen probe positions extending the work of hennersperger et al we introduce a logeuclidean framework to ensure that the tensors are positivedefinite eventually ensuring nonnegative images additionally we regularise the underpinning illposed variational problem while preserving edge information by relying on a total variation penalisation of the tensor field in the log domain we present results on in vivo human data to show the efficacy of the approach
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1,802.02089
The nodal set of solutions to some elliptic problems: sublinear equations, and unstable two-phase membrane problem
We are concerned with the nodal set of solutions to equations of the form \begin{equation*} -\Delta u = \lambda_+ \left(u^+\right)^{q-1} - \lambda_- \left(u^-\right)^{q-1} \quad \text{in $B_1$} \end{equation*} where $\lambda_+,\lambda_- > 0$, $q \in [1,2)$, $B_1=B_1(0)$ is the unit ball in $\mathbb{R}^N$, $N \ge 2$, and $u^+:= \max\{u,0\}$, $u^-:= \max\{-u,0\}$ are the positive and the negative part of $u$, respectively. This class includes, the \emph{unstable two-phase membrane problem} ($q=1$), as well as \emph{sublinear} equations for $1<q<2$. We prove the following main results: (a) the finiteness of the vanishing order at every point and the complete characterization of the order spectrum; (b) a weak non-degeneracy property; (c) regularity of the nodal set of any solution: the nodal set is a locally finite collection of regular codimension one manifolds up to a residual singular set having Hausdorff dimension at most $N-2$ (locally finite when $N=2$); (d) a partial stratification theorem. Ultimately, the main features of the nodal set are strictly related with those of the solutions to linear (or superlinear) equations, with two remarkable differences. First of all, the admissible vanishing orders can not exceed the critical value $2/(2-q)$. At threshold, we find a multiplicity of homogeneous solutions, yielding the \emph{non-validity} of any estimate of the $(N-1)$-dimensional measure of the nodal set of a solution in terms of the vanishing order. The proofs are based on monotonicity formul\ae \ for a $2$-parameter family of Weiss-type functionals, blow-up arguments, and the classification of homogenous solutions.
math.AP
we are concerned with the nodal set of solutions to equations of the form beginequation delta u lambda_ lefturightq1 lambda_ lefturightq1 quad textin b_1 endequation where lambda_lambda_ 0 q in 12 b_1b_10 is the unit ball in mathbbrn n ge 2 and u maxu0 u maxu0 are the positive and the negative part of u respectively this class includes the emphunstable twophase membrane problem q1 as well as emphsublinear equations for 1q2 we prove the following main results a the finiteness of the vanishing order at every point and the complete characterization of the order spectrum b a weak nondegeneracy property c regularity of the nodal set of any solution the nodal set is a locally finite collection of regular codimension one manifolds up to a residual singular set having hausdorff dimension at most n2 locally finite when n2 d a partial stratification theorem ultimately the main features of the nodal set are strictly related with those of the solutions to linear or superlinear equations with two remarkable differences first of all the admissible vanishing orders can not exceed the critical value 22q at threshold we find a multiplicity of homogeneous solutions yielding the emphnonvalidity of any estimate of the n1dimensional measure of the nodal set of a solution in terms of the vanishing order the proofs are based on monotonicity formulae for a 2parameter family of weisstype functionals blowup arguments and the classification of homogenous solutions
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1,802.0209
Causal Classical Physics in Time Symmetric Quantum Mechanics
The letter submitted is an executive summary of our previous paper. To solve the Einstein Podolsky Rosen 'paradox' the two boundary quantum mechanics is taken as self consistent interpretation of quantum dynamics. The difficulty with this interpretation is to reconcile it with classical physics. To avoid macroscopic backward causation two 'corresponding transition rules' are formulated which specify needed properties of macroscopic observations and manipulations. The apparent classical causal decision tree requires to understand the classically unchosen options. They are taken to occur with an 'incomplete knowledge' of the boundary states typically in macroscopic considerations. The precise boundary conditions with given phases then select the actual measured path and this selection is mistaken to happen at the time of measurement. The apparent time direction of the decision tree originates in an assumed relative proximity to the initial state. Only the far away final state allows for classically distinct options to be selected from. Cosmologically the picture could correspond to a big bang initial and a hugely extended final state scenario. It is speculated that it might also hold for a big bang/big crunch world. If this would be the case the Born probability postulate could find a natural explanation if we coexist in the expanding and the correlated CPT conjugate contracting world.
quant-ph hep-ph physics.hist-ph
the letter submitted is an executive summary of our previous paper to solve the einstein podolsky rosen paradox the two boundary quantum mechanics is taken as self consistent interpretation of quantum dynamics the difficulty with this interpretation is to reconcile it with classical physics to avoid macroscopic backward causation two corresponding transition rules are formulated which specify needed properties of macroscopic observations and manipulations the apparent classical causal decision tree requires to understand the classically unchosen options they are taken to occur with an incomplete knowledge of the boundary states typically in macroscopic considerations the precise boundary conditions with given phases then select the actual measured path and this selection is mistaken to happen at the time of measurement the apparent time direction of the decision tree originates in an assumed relative proximity to the initial state only the far away final state allows for classically distinct options to be selected from cosmologically the picture could correspond to a big bang initial and a hugely extended final state scenario it is speculated that it might also hold for a big bangbig crunch world if this would be the case the born probability postulate could find a natural explanation if we coexist in the expanding and the correlated cpt conjugate contracting world
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1,802.02091
Structural Recurrent Neural Network (SRNN) for Group Activity Analysis
A group of persons can be analyzed at various semantic levels such as individual actions, their interactions, and the activity of the entire group. In this paper, we propose a structural recurrent neural network (SRNN) that uses a series of interconnected RNNs to jointly capture the actions of individuals, their interactions, as well as the group activity. While previous structural recurrent neural networks assumed that the number of nodes and edges is constant, we use a grid pooling layer to address the fact that the number of individuals in a group can vary. We evaluate two variants of the structural recurrent neural network on the Volleyball Dataset.
cs.CV
a group of persons can be analyzed at various semantic levels such as individual actions their interactions and the activity of the entire group in this paper we propose a structural recurrent neural network srnn that uses a series of interconnected rnns to jointly capture the actions of individuals their interactions as well as the group activity while previous structural recurrent neural networks assumed that the number of nodes and edges is constant we use a grid pooling layer to address the fact that the number of individuals in a group can vary we evaluate two variants of the structural recurrent neural network on the volleyball dataset
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1,802.02092
Exact Solution of the N-dimensional Radial Schr\"odinger Equation via Laplace Transformation Method with the Generalized Cornell Potential
The exact solution of N- dimensional radial Schr\"odinger equation with the generalized Cornell potential has been obtained using the Laplace transformation (LT) method. The energy eigenvalues and the corresponding wave functions for any state have been determined. The eigenvalues for some special cases of the generalized Cornell potential are obtained. The present results are applied to calculate the mass spectra of heavy quarkonium systems such as charmonium and bottomonium and the bc meson. A comparison is discussed with the experimental data and recent works. The present results are improved in comparison with other recent studies and are in a good agreement with the experimental data. The effect of the dimensional number (N) on the meson masses has been studied. We note that the meson masses increase in higher dimensions.
hep-ph
the exact solution of n dimensional radial schrodinger equation with the generalized cornell potential has been obtained using the laplace transformation lt method the energy eigenvalues and the corresponding wave functions for any state have been determined the eigenvalues for some special cases of the generalized cornell potential are obtained the present results are applied to calculate the mass spectra of heavy quarkonium systems such as charmonium and bottomonium and the bc meson a comparison is discussed with the experimental data and recent works the present results are improved in comparison with other recent studies and are in a good agreement with the experimental data the effect of the dimensional number n on the meson masses has been studied we note that the meson masses increase in higher dimensions
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1,802.02093
Constraint on energy-momentum squared gravity from neutron stars and its cosmological implications
Deviations from the predictions of general relativity due to energy-momentum squared gravity (EMSG) are expected to become pronounced in the high density cores of neutron stars. We derive the hydrostatic equilibrium equations in EMSG and solve them numerically to obtain the neutron star mass-radius relations for four different realistic equations of state. We use the existing observational measurements of the masses and radii of neutron stars to constrain the free parameter, $\alpha ,$ that characterizes the coupling between matter and spacetime in EMSG. We show that $-10^{-38}\,\mathrm{cm^{3}/erg}<\alpha <+10^{-37}\,\mathrm{cm^{3}/erg}$. Under this constraint, we discuss what contributions EMSG can provide to the physics of neutron stars, in particular, their relevance to the so called \textit{hyperon puzzle} in neutron stars. We also discuss how EMSG alters the dynamics of the early universe from the predictions of the standard cosmological model. We show that EMSG leaves the standard cosmology safely unaltered back to $t\sim 10^{-4}$ seconds at which the energy density of the universe is $\sim 10^{34}\,\mathrm{erg\,cm^{-3}}$.
gr-qc astro-ph.CO
deviations from the predictions of general relativity due to energymomentum squared gravity emsg are expected to become pronounced in the high density cores of neutron stars we derive the hydrostatic equilibrium equations in emsg and solve them numerically to obtain the neutron star massradius relations for four different realistic equations of state we use the existing observational measurements of the masses and radii of neutron stars to constrain the free parameter alpha that characterizes the coupling between matter and spacetime in emsg we show that 1038mathrmcm3ergalpha 1037mathrmcm3erg under this constraint we discuss what contributions emsg can provide to the physics of neutron stars in particular their relevance to the so called textithyperon puzzle in neutron stars we also discuss how emsg alters the dynamics of the early universe from the predictions of the standard cosmological model we show that emsg leaves the standard cosmology safely unaltered back to tsim 104 seconds at which the energy density of the universe is sim 1034mathrmergcm3
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1,802.02094
Regular Transducer Expressions for Regular Transformations
Functional MSO transductions, deterministic two-way transducers, as well as streaming string transducers are all equivalent models for regular functions. In this paper, we show that every regular function, either on finite words or on infinite words, captured by a deterministic two-way transducer, can be described with a regular transducer expression (RTE). For infinite words, the transducer uses Muller acceptance and $\omega$-regular look-ahead. \RTEs are constructed from constant functions using the combinators if-then-else (deterministic choice), Hadamard product, and unambiguous versions of the Cauchy product, the 2-chained Kleene-iteration and the 2-chained omega-iteration. Our proof works for transformations of both finite and infinite words, extending the result on finite words of Alur et al.\ in LICS'14. In order to construct an RTE associated with a deterministic two-way Muller transducer with look-ahead, we introduce the notion of transition monoid for such two-way transducers where the look-ahead is captured by some backward deterministic B\"uchi automaton. Then, we use an unambiguous version of Imre Simon's famous forest factorization theorem in order to derive a "good" ($\omega$-)regular expression for the domain of the two-way transducer. "Good" expressions are unambiguous and Kleene-plus as well as $\omega$-iterations are only used on subexpressions corresponding to \emph{idempotent} elements of the transition monoid. The combinator expressions are finally constructed by structural induction on the "good" ($\omega$-)regular expression describing the domain of the transducer.
cs.FL
functional mso transductions deterministic twoway transducers as well as streaming string transducers are all equivalent models for regular functions in this paper we show that every regular function either on finite words or on infinite words captured by a deterministic twoway transducer can be described with a regular transducer expression rte for infinite words the transducer uses muller acceptance and omegaregular lookahead rtes are constructed from constant functions using the combinators ifthenelse deterministic choice hadamard product and unambiguous versions of the cauchy product the 2chained kleeneiteration and the 2chained omegaiteration our proof works for transformations of both finite and infinite words extending the result on finite words of alur et al in lics14 in order to construct an rte associated with a deterministic twoway muller transducer with lookahead we introduce the notion of transition monoid for such twoway transducers where the lookahead is captured by some backward deterministic buchi automaton then we use an unambiguous version of imre simons famous forest factorization theorem in order to derive a good omegaregular expression for the domain of the twoway transducer good expressions are unambiguous and kleeneplus as well as omegaiterations are only used on subexpressions corresponding to emphidempotent elements of the transition monoid the combinator expressions are finally constructed by structural induction on the good omegaregular expression describing the domain of the transducer
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1,802.02095
Diphoton production at the LHC: a QCD study up to NNLO
We consider the production of prompt-photon pairs at the LHC and we report on a study of QCD radiative corrections up to the next-to-next-to-leading order (NNLO). We present a detailed comparison of next-to-leading order (NLO) results obtained within the standard and smooth cone isolation criteria, by studying the dependence on the isolation parameters. We highlight the role of different partonic subprocesses within the two isolation criteria, and we show that they produce large radiative corrections for both criteria. Smooth cone isolation is a consistent procedure to compute QCD radiative corrections at NLO and beyond. If photon isolation is sufficiently tight, we show that the NLO results for the two isolation procedures are consistent with each other within their perturbative uncertainties. We then extend our study to NNLO by using smooth cone isolation. We discuss the impact of the NNLO corrections and the corresponding perturbative uncertainties for both fiducial cross sections and distributions, and we comment on the comparison with some LHC data. Throughout our study we remark the main features that are produced by the kinematical selection cuts that are applied to the photons. In particular, we examine soft-gluon singularities that appear in the perturbative computations of the invariant mass distribution of the photon pair, the transverse-momentum spectra of the photons, and the fiducial cross section with asymmetric and symmetric photon transverse-momentum cuts, and we present their behaviour in analytic form.
hep-ph
we consider the production of promptphoton pairs at the lhc and we report on a study of qcd radiative corrections up to the nexttonexttoleading order nnlo we present a detailed comparison of nexttoleading order nlo results obtained within the standard and smooth cone isolation criteria by studying the dependence on the isolation parameters we highlight the role of different partonic subprocesses within the two isolation criteria and we show that they produce large radiative corrections for both criteria smooth cone isolation is a consistent procedure to compute qcd radiative corrections at nlo and beyond if photon isolation is sufficiently tight we show that the nlo results for the two isolation procedures are consistent with each other within their perturbative uncertainties we then extend our study to nnlo by using smooth cone isolation we discuss the impact of the nnlo corrections and the corresponding perturbative uncertainties for both fiducial cross sections and distributions and we comment on the comparison with some lhc data throughout our study we remark the main features that are produced by the kinematical selection cuts that are applied to the photons in particular we examine softgluon singularities that appear in the perturbative computations of the invariant mass distribution of the photon pair the transversemomentum spectra of the photons and the fiducial cross section with asymmetric and symmetric photon transversemomentum cuts and we present their behaviour in analytic form
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1,802.02096
On Huygens' Principle, Extinction Theorem, and Equivalence Principle (Inhomogeneous Anisotropic Material System in Inhomogeneous Anisotropic Environment)
Huygens' principle (HP), extinction theorem (ET), and Franz's / Franz-Harrington formulation (FHF, which is a mathematical expression of surface equivalence principle) are the important components of electromagnetic (EM) theory, and they are generalized from the following aspects. 1) Traditional HP, ET, and FHF in homogeneous isotropic environment are generalized to inhomogeneous anisotropic lossy environment. 2) Traditional FHF for homogeneous isotropic material system is generalized to inhomogeneous anisotropic lossy material system in this paper, and will be further generalized to metal-material combined system in future works. 3) The Huygens' surface in traditional HP and ET is a single closed surface. In this paper, it is generalized to the "Huygens' surface" which is constructed by multiple closed surfaces. In future works, it will be further generalized to the "Huygens' boundary" which includes some lines and open surfaces. 4) For a material body, traditional FHF has only ability to express the external scattering field and the internal total field (the summation of scattering and incident fields) in terms of the equivalent sources on material boundary, and it is generalized to formulating the internal scattering and incident fields in this paper. In addition, the relationships among HP, ET, and FHF are studied, and it is proved that HP and ET are equivalent to each other.
physics.class-ph
huygens principle hp extinction theorem et and franzs franzharrington formulation fhf which is a mathematical expression of surface equivalence principle are the important components of electromagnetic em theory and they are generalized from the following aspects 1 traditional hp et and fhf in homogeneous isotropic environment are generalized to inhomogeneous anisotropic lossy environment 2 traditional fhf for homogeneous isotropic material system is generalized to inhomogeneous anisotropic lossy material system in this paper and will be further generalized to metalmaterial combined system in future works 3 the huygens surface in traditional hp and et is a single closed surface in this paper it is generalized to the huygens surface which is constructed by multiple closed surfaces in future works it will be further generalized to the huygens boundary which includes some lines and open surfaces 4 for a material body traditional fhf has only ability to express the external scattering field and the internal total field the summation of scattering and incident fields in terms of the equivalent sources on material boundary and it is generalized to formulating the internal scattering and incident fields in this paper in addition the relationships among hp et and fhf are studied and it is proved that hp and et are equivalent to each other
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1,802.02097
Four Physics Puzzles Viewed Ontologically: Duality, Collapse, Probability and Nonlocality
Wave-particle duality, wave function collapse, objective probability and nonlocality constitute four prominent puzzles in modern physics. Although these four topics may appear unrelated, a closer examination reveals that they do share some common assumptions at the foundational level that have characterized physics for the last 100 years. Progress can be made on these four topics only if we understand and possibly revise some long-held assumptions. This essay examines physics from the ontological perspective. Are quantized matter and quantized energy both entities and if so what does that imply? Does matter reside in space and progress in time whereas energy (radiation) resides in time and progresses in space? If so, what does this tell us? Energy has two identities, potential and kinetic. Does mass have two identities and if not why not? The expectation is that answers to these and similar questions will help us understand the connections between the four puzzles listed above.
physics.hist-ph
waveparticle duality wave function collapse objective probability and nonlocality constitute four prominent puzzles in modern physics although these four topics may appear unrelated a closer examination reveals that they do share some common assumptions at the foundational level that have characterized physics for the last 100 years progress can be made on these four topics only if we understand and possibly revise some longheld assumptions this essay examines physics from the ontological perspective are quantized matter and quantized energy both entities and if so what does that imply does matter reside in space and progress in time whereas energy radiation resides in time and progresses in space if so what does this tell us energy has two identities potential and kinetic does mass have two identities and if not why not the expectation is that answers to these and similar questions will help us understand the connections between the four puzzles listed above
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1,802.02098
A new impedance accounting for short and long range effects in mixed substructured formulations of nonlinear problems
An efficient method for solving large nonlinear problems combines Newton solvers and Domain Decomposition Methods (DDM). In the DDM framework, the boundary conditions can be chosen to be primal, dual or mixed. The mixed approach presents the advantage to be eligible for the research of an optimal interface parameter (often called impedance) which can increase the convergence rate. The optimal value for this parameter is often too expensive to be computed exactly in practice: an approximate version has to be sought for, along with a compromise between efficiency and computational cost. In the context of parallel algorithms for solving nonlinear structural mechanical problems, we propose a new heuristic for the impedance which combines short and long range effects at a low computational cost.
math.NA cs.DC cs.NA physics.class-ph
an efficient method for solving large nonlinear problems combines newton solvers and domain decomposition methods ddm in the ddm framework the boundary conditions can be chosen to be primal dual or mixed the mixed approach presents the advantage to be eligible for the research of an optimal interface parameter often called impedance which can increase the convergence rate the optimal value for this parameter is often too expensive to be computed exactly in practice an approximate version has to be sought for along with a compromise between efficiency and computational cost in the context of parallel algorithms for solving nonlinear structural mechanical problems we propose a new heuristic for the impedance which combines short and long range effects at a low computational cost
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1,802.02099
Triage strategies for agile core sorting in extreme value scenarios
Surveys have indicated that the remanufacturing industry is concerned about the necessity of agile and prioritized core sorting due to its potential benefits to optimal core inventory and condition assessment, both at equipment and component levels. As such, core sorting holds a pivotal role in generalized remanufacturing operations, however, extreme value core arrivals, its stochastic nature and resulting sorting issues warrant targeted modelling and analysis. This paper is devoted to triage as an agile and quality-based sorting strategy in extreme value scenarios, which can be utilized as a complementary core sorting strategy. A statistical model of extreme core arrivals is developed based on Extreme Value (EV) theory and related Generalized Extreme Value (GEV) and Fr\'echet (Fisher-Tippett type-II) distributions. The model is applied to extreme arrivals of valves in an industrial valve repair shop in order to formulate extreme arrival sorting strategies. Using a large sample size, distribution parameters are estimated and the stochastic behaviour of the extreme valve arrivals is evaluated and verified. A generic analogy between medical triage and remanufacturing triage is discussed, because triage can be used to address extreme core arrivals, associated statistical distributions, and their effect on core condition assessment in order to enhance management of unpredictable consequences of extreme core arrivals.
stat.AP
surveys have indicated that the remanufacturing industry is concerned about the necessity of agile and prioritized core sorting due to its potential benefits to optimal core inventory and condition assessment both at equipment and component levels as such core sorting holds a pivotal role in generalized remanufacturing operations however extreme value core arrivals its stochastic nature and resulting sorting issues warrant targeted modelling and analysis this paper is devoted to triage as an agile and qualitybased sorting strategy in extreme value scenarios which can be utilized as a complementary core sorting strategy a statistical model of extreme core arrivals is developed based on extreme value ev theory and related generalized extreme value gev and frechet fishertippett typeii distributions the model is applied to extreme arrivals of valves in an industrial valve repair shop in order to formulate extreme arrival sorting strategies using a large sample size distribution parameters are estimated and the stochastic behaviour of the extreme valve arrivals is evaluated and verified a generic analogy between medical triage and remanufacturing triage is discussed because triage can be used to address extreme core arrivals associated statistical distributions and their effect on core condition assessment in order to enhance management of unpredictable consequences of extreme core arrivals
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1,802.021
Pushing the precision frontier at the LHC with V+jets
This documents the proceedings from a workshop titled `Illuminating Standard candles at the LHC: V+jets' held at Imperial College London on 25th-26th April 2017. It summarises the numerous contributions to the workshop, from the experimental overview of V+jets measurements at CMS and ATLAS and their role in searching for physics beyond the Standard Model to the status of higher order perturbative calculations to these processes and their inclusion in state of the art Monte Carlo simulations. An executive summary of the ensuing discussions including a list of outcomes and wishlist for future consideration is also presented.
hep-ex hep-ph
this documents the proceedings from a workshop titled illuminating standard candles at the lhc vjets held at imperial college london on 25th26th april 2017 it summarises the numerous contributions to the workshop from the experimental overview of vjets measurements at cms and atlas and their role in searching for physics beyond the standard model to the status of higher order perturbative calculations to these processes and their inclusion in state of the art monte carlo simulations an executive summary of the ensuing discussions including a list of outcomes and wishlist for future consideration is also presented
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1,802.02101
Locating the missing superconducting electrons in overdoped cuprates
Overdoped high-temperature cuprate superconductors have been widely believed to be described by the physics of d-wave BCS-like superconductivity. However, recent measurements indicate that as the doping is increased, the superfluid density decreases smoothly to zero rather than increasing as expected by BCS theory in the absence of disorder. Here, we combine time-domain THz spectroscopy with kHz range mutual inductance measurements on the same overdoped La$_{2-x}$Sr$_{x}$CuO$_{4}$ films to determine both the superfluid and the uncondensed carrier density as a function of doping. A significant fraction of the carriers remains uncondensed in a wide Drude-like peak even as $T\rightarrow0$, which, when taken with the linear-in-temperature superfluid density, is inconsistent with existing theories for the role of disorder in suppressing the superfluid density in a d-wave superconductor. Our almost eight orders of magnitude in measurement frequency range gives us a unique look at the low frequency spectral weight distribution, which may suggest the presence of quantum phase fluctuations as the critical doping is approached.
cond-mat.supr-con cond-mat.str-el
overdoped hightemperature cuprate superconductors have been widely believed to be described by the physics of dwave bcslike superconductivity however recent measurements indicate that as the doping is increased the superfluid density decreases smoothly to zero rather than increasing as expected by bcs theory in the absence of disorder here we combine timedomain thz spectroscopy with khz range mutual inductance measurements on the same overdoped la_2xsr_xcuo_4 films to determine both the superfluid and the uncondensed carrier density as a function of doping a significant fraction of the carriers remains uncondensed in a wide drudelike peak even as trightarrow0 which when taken with the linearintemperature superfluid density is inconsistent with existing theories for the role of disorder in suppressing the superfluid density in a dwave superconductor our almost eight orders of magnitude in measurement frequency range gives us a unique look at the low frequency spectral weight distribution which may suggest the presence of quantum phase fluctuations as the critical doping is approached
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1,802.02102
CARMENES input catalogue of M dwarfs: III. Rotation and activity from high-resolution spectroscopic observations
CARMENES is a spectrograph for radial velocity surveys of M dwarfs with the aim of detecting Earth-mass planets orbiting in the habitable zones of their host stars. To ensure an optimal use of the CARMENES Guaranteed Time Observations, in this paper we investigate the correlation of activity and rotation for approximately 2200 M dwarfs, ranging in spectral type from M0.0 V to M9.0 V. We present new high-resolution spectroscopic observations with FEROS, CAFE, and HRS of approximately 500 M dwarfs. For each new observation, we determined its radial velocity and measured its Halpha activity index and its rotation velocity. Additionally, we have multiple observations of many stars to investigate if there are any radial velocity variations due to multiplicity. The results of our survey confirm that early-M dwarfs are Halpha inactive with low rotational velocities and that late-M dwarfs are Halpha active with very high rotational velocities. The results of this high-resolution analysis comprise the most extensive catalogue of rotation and activity in M dwarfs currently available.
astro-ph.SR
carmenes is a spectrograph for radial velocity surveys of m dwarfs with the aim of detecting earthmass planets orbiting in the habitable zones of their host stars to ensure an optimal use of the carmenes guaranteed time observations in this paper we investigate the correlation of activity and rotation for approximately 2200 m dwarfs ranging in spectral type from m00 v to m90 v we present new highresolution spectroscopic observations with feros cafe and hrs of approximately 500 m dwarfs for each new observation we determined its radial velocity and measured its halpha activity index and its rotation velocity additionally we have multiple observations of many stars to investigate if there are any radial velocity variations due to multiplicity the results of our survey confirm that earlym dwarfs are halpha inactive with low rotational velocities and that latem dwarfs are halpha active with very high rotational velocities the results of this highresolution analysis comprise the most extensive catalogue of rotation and activity in m dwarfs currently available
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1,802.02103
Hyperspherical-LOCV Approximation to Resonant BEC
We study the ground state properties of a system of $N$ harmonically trapped bosons of mass $m$ interacting with two-body contact interactions, from small to large scattering lengths. This is accomplished in a hyperspherical coordinate system that is flexible enough to describe both the overall scale of the gas and two-body correlations. By adapting the lowest-order constrained variational (LOCV) method, we are able to semi-quantitatively attain Bose-Einstein condensate ground state energies even for gases with infinite scattering length. In the large particle number limit, our method provides analytical estimates for the energy per particle $E_0/N \approx 2.5 N^{1/3} \hbar \omega$ and two-body contact $C_2/N \approx 16 N^{1/6}\sqrt{m\omega/\hbar}$ for a Bose gas on resonance, where $\omega$ is the trap frequency.
cond-mat.quant-gas physics.atom-ph
we study the ground state properties of a system of n harmonically trapped bosons of mass m interacting with twobody contact interactions from small to large scattering lengths this is accomplished in a hyperspherical coordinate system that is flexible enough to describe both the overall scale of the gas and twobody correlations by adapting the lowestorder constrained variational locv method we are able to semiquantitatively attain boseeinstein condensate ground state energies even for gases with infinite scattering length in the large particle number limit our method provides analytical estimates for the energy per particle e_0n approx 25 n13 hbar omega and twobody contact c_2n approx 16 n16sqrtmomegahbar for a bose gas on resonance where omega is the trap frequency
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1,802.02104
Near-infrared study of new embedded clusters in the Carina complex
We analyse the nature of a sample of stellar overdensities that we found projected on the Carina complex. This study is based on 2MASS photometry and involves the photometry decontamination of field stars, elaboration of intrinsic colour-magnitude diagrams J$\times$(J-Ks), colour-colour diagrams (J-H)$\times$(H-Ks) and radial density profiles, in order to determine the structure and the main astrophysical parameters of the best candidates. The verification of an overdensity as an embedded cluster requires a CMD consistent with a PMS content and MS stars, if any. From these results, we are able to verify if they are, in fact, embedded clusters. The results were, in general, rewarding: in a sample of 101 overdensities, the analysis provided 15 candidates, of which three were previously catalogued as clusters (CCCP-Cl$\,$16, Treasure Chest and FSR$\,$1555), and the 12 remaining are discoveries that provided significant results, with ages not above 4.5$\,$Myr and distances compatible with the studied complex. The resulting values for the differential reddening of most candidates were relatively high, confirming that these clusters are still (partially or fully) embedded in the surrounding gas and dust, as a rule within a shell. Histograms with the distribution of the masses, ages and distances were also produced, to give an overview of the results. We conclude that all the 12 newly found embedded clusters are related to the Carina complex.
astro-ph.GA astro-ph.SR
we analyse the nature of a sample of stellar overdensities that we found projected on the carina complex this study is based on 2mass photometry and involves the photometry decontamination of field stars elaboration of intrinsic colourmagnitude diagrams jtimesjks colourcolour diagrams jhtimeshks and radial density profiles in order to determine the structure and the main astrophysical parameters of the best candidates the verification of an overdensity as an embedded cluster requires a cmd consistent with a pms content and ms stars if any from these results we are able to verify if they are in fact embedded clusters the results were in general rewarding in a sample of 101 overdensities the analysis provided 15 candidates of which three were previously catalogued as clusters cccpcl16 treasure chest and fsr1555 and the 12 remaining are discoveries that provided significant results with ages not above 45myr and distances compatible with the studied complex the resulting values for the differential reddening of most candidates were relatively high confirming that these clusters are still partially or fully embedded in the surrounding gas and dust as a rule within a shell histograms with the distribution of the masses ages and distances were also produced to give an overview of the results we conclude that all the 12 newly found embedded clusters are related to the carina complex
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1,802.02105
Electrokinetic Energy Harvesting using Paper and Pencil
We exploit the combinatorial advantage of electrokinetics and tortutosity of cellulose-based paper network on a laboratory grade filter paper for the development of a simple, inexpensive, yet extremely robust (shows constant performance till 12 days) paper-and-pencil-based device for energy harvesting application. We successfully achieve to harvest maximum output power of 640 pW in single channel, while the same is significantly improved (by about 100 times) with the use of multichannel microfluidic array (maximum up to 20 channels). We envisage that such ultra-low cost devices may turn out to be extremely useful in energizing analytical microdevices in resource limited settings, for instance for extreme point of care diagnostics applications.
physics.app-ph
we exploit the combinatorial advantage of electrokinetics and tortutosity of cellulosebased paper network on a laboratory grade filter paper for the development of a simple inexpensive yet extremely robust shows constant performance till 12 days paperandpencilbased device for energy harvesting application we successfully achieve to harvest maximum output power of 640 pw in single channel while the same is significantly improved by about 100 times with the use of multichannel microfluidic array maximum up to 20 channels we envisage that such ultralow cost devices may turn out to be extremely useful in energizing analytical microdevices in resource limited settings for instance for extreme point of care diagnostics applications
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1,802.02106
High-precision simulation of the height distribution for the KPZ equation
The one-point distribution of the height for the continuum Kardar-Parisi-Zhang (KPZ) equation is determined numerically using the mapping to the directed polymer in a random potential at high temperature. Using an importance sampling approach, the distribution is obtained over a large range of values, down to a probability density as small as 10^{-1000} in the tails. Both short and long times are investigated and compared with recent analytical predictions for the large-deviation forms of the probability of rare fluctuations. At short times the agreement with the analytical expression is spectacular. We observe that the far left and right tails, with exponents 5/2 and 3/2 respectively, are preserved until large time. We present some evidence for the predicted non-trivial crossover in the left tail from the 5/2 tail exponent to the cubic tail of Tracy-Widom, although the details of the full scaling form remains beyond reach.
cond-mat.dis-nn cond-mat.stat-mech
the onepoint distribution of the height for the continuum kardarparisizhang kpz equation is determined numerically using the mapping to the directed polymer in a random potential at high temperature using an importance sampling approach the distribution is obtained over a large range of values down to a probability density as small as 101000 in the tails both short and long times are investigated and compared with recent analytical predictions for the largedeviation forms of the probability of rare fluctuations at short times the agreement with the analytical expression is spectacular we observe that the far left and right tails with exponents 52 and 32 respectively are preserved until large time we present some evidence for the predicted nontrivial crossover in the left tail from the 52 tail exponent to the cubic tail of tracywidom although the details of the full scaling form remains beyond reach
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1,802.02107
Moir\'e patterns in doubly differential electron momentum distributions in atomic ionization by midinfrared lasers
We analyze the doubly differential electron momentum distribution in above-threshold ionization of atomic hydrogen by a linearly-polarized mid-infrared laser pulse. We reproduce side rings in the momentum distribution with forward-backward symmetry previously observed by Lemell \textit{et al.} in Phys. Rev. A \textbf{87}, 013421(2013), whose origin, as far as we know, has not been explained so far. By developing a Fourier theory of moir\'{e} patterns, we demonstrate that such structures stems from the interplay between intra- and intercycle interference patterns which work as two separate grids in the two-dimensional momentum domain. We use a three dimensional (3D) description based on the saddle-point approximation (SPA) to unravel the nature of these structures. When the periods of the two grids (intra- and intercycle) are similar, principal moir\'{e} patterns arise as concentric rings symmetrically in the forward and backward directions at high electron kinetic energy. Higher order moir\'{e} patterns are observed and characterized when the period of one grid is multiple of the other. We find a scale law for the position (in momentum space) of the center of the moir\'{e} rings in the tunneling regime. We verify the SPA predictions by comparison with time-dependent distorted wave strong-field approximation (SFA) calculations and the solutions of the full 3D time-dependent Schr\"{o}dinger equation (TDSE).
physics.atom-ph
we analyze the doubly differential electron momentum distribution in abovethreshold ionization of atomic hydrogen by a linearlypolarized midinfrared laser pulse we reproduce side rings in the momentum distribution with forwardbackward symmetry previously observed by lemell textitet al in phys rev a textbf87 0134212013 whose origin as far as we know has not been explained so far by developing a fourier theory of moire patterns we demonstrate that such structures stems from the interplay between intra and intercycle interference patterns which work as two separate grids in the twodimensional momentum domain we use a three dimensional 3d description based on the saddlepoint approximation spa to unravel the nature of these structures when the periods of the two grids intra and intercycle are similar principal moire patterns arise as concentric rings symmetrically in the forward and backward directions at high electron kinetic energy higher order moire patterns are observed and characterized when the period of one grid is multiple of the other we find a scale law for the position in momentum space of the center of the moire rings in the tunneling regime we verify the spa predictions by comparison with timedependent distorted wave strongfield approximation sfa calculations and the solutions of the full 3d timedependent schrodinger equation tdse
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1,802.02108
A note on the evolution of the Whitney sphere along mean curvature flow
We study the evolution of the Whitney sphere along the Lagrangian mean curvature flow. We show that equivariant Lagrangian spheres in $\mathbb{C}^n$ satisfying mild geometric assumptions collapse to a point in finite time and the tangent flows converge to a Lagrangian plane with multiplicity two.
math.DG
we study the evolution of the whitney sphere along the lagrangian mean curvature flow we show that equivariant lagrangian spheres in mathbbcn satisfying mild geometric assumptions collapse to a point in finite time and the tangent flows converge to a lagrangian plane with multiplicity two
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1,802.02109
Observation of the topological Anderson insulator in disordered atomic wires
Topology and disorder have deep connections and a rich combined influence on quantum transport. In order to probe these connections, we synthesized one-dimensional chiral symmetric wires with controllable disorder via spectroscopic Hamiltonian engineering, based on the laser-driven coupling of discrete momentum states of ultracold atoms. We characterize the system's topology through measurement of the mean chiral displacement of the bulk density extracted from quench dynamics. We find evidence for the topological Anderson insulator phase, in which the band structure of an otherwise trivial wire is driven topological by the presence of added disorder. In addition, we observed the robustness of topological wires to weak disorder and measured the transition to a trivial phase in the presence of strong disorder. Atomic interactions in this quantum simulation platform will enable future realizations of strongly interacting topological fluids.
cond-mat.quant-gas cond-mat.dis-nn quant-ph
topology and disorder have deep connections and a rich combined influence on quantum transport in order to probe these connections we synthesized onedimensional chiral symmetric wires with controllable disorder via spectroscopic hamiltonian engineering based on the laserdriven coupling of discrete momentum states of ultracold atoms we characterize the systems topology through measurement of the mean chiral displacement of the bulk density extracted from quench dynamics we find evidence for the topological anderson insulator phase in which the band structure of an otherwise trivial wire is driven topological by the presence of added disorder in addition we observed the robustness of topological wires to weak disorder and measured the transition to a trivial phase in the presence of strong disorder atomic interactions in this quantum simulation platform will enable future realizations of strongly interacting topological fluids
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1,802.0211
Search for natural and split supersymmetry in proton-proton collisions at $\sqrt{s} =$ 13 TeV in final states with jets and missing transverse momentum
A search for supersymmetry (SUSY) is performed in final states comprising one or more jets and missing transverse momentum using data from proton-proton collisions at a centre-of-mass energy of 13 TeV. The data were recorded with the CMS detector at the CERN LHC in 2016 and correspond to an integrated luminosity of 35.9 fb$^{-1}$. The number of signal events is found to agree with the expected background yields from standard model processes. The results are interpreted in the context of simplified models of SUSY that assume the production of gluino or squark pairs and their prompt decay to quarks and the lightest neutralino. The masses of bottom, top, and mass-degenerate light-flavour squarks are probed up to 1050, 1000, and 1325 GeV, respectively. The gluino mass is probed up to 1900, 1650, and 1650 GeV when the gluino decays via virtual states of the aforementioned squarks. The strongest mass bounds on the neutralinos from gluino and squark decays are 1150 and 575 GeV, respectively. The search also provides sensitivity to simplified models inspired by split SUSY that involve the production and decay of long-lived gluinos. Values of the proper decay length $c\tau$ from $10^{-3}$ to $10^{5}$ mm are considered, as well as a metastable gluino scenario. Gluino masses up to 1750 and 900 GeV are probed for $c\tau =$ 1 mm and for the metastable state, respectively. The sensitivity is moderately dependent on model assumptions for $c\tau \gtrsim 1$ m. The search provides coverage of the $c\tau$ parameter space for models involving long-lived gluinos that is complementary to existing techniques at the LHC.
hep-ex
a search for supersymmetry susy is performed in final states comprising one or more jets and missing transverse momentum using data from protonproton collisions at a centreofmass energy of 13 tev the data were recorded with the cms detector at the cern lhc in 2016 and correspond to an integrated luminosity of 359 fb1 the number of signal events is found to agree with the expected background yields from standard model processes the results are interpreted in the context of simplified models of susy that assume the production of gluino or squark pairs and their prompt decay to quarks and the lightest neutralino the masses of bottom top and massdegenerate lightflavour squarks are probed up to 1050 1000 and 1325 gev respectively the gluino mass is probed up to 1900 1650 and 1650 gev when the gluino decays via virtual states of the aforementioned squarks the strongest mass bounds on the neutralinos from gluino and squark decays are 1150 and 575 gev respectively the search also provides sensitivity to simplified models inspired by split susy that involve the production and decay of longlived gluinos values of the proper decay length ctau from 103 to 105 mm are considered as well as a metastable gluino scenario gluino masses up to 1750 and 900 gev are probed for ctau 1 mm and for the metastable state respectively the sensitivity is moderately dependent on model assumptions for ctau gtrsim 1 m the search provides coverage of the ctau parameter space for models involving longlived gluinos that is complementary to existing techniques at the lhc
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1,802.02111
On growth of the number of determinants with restricted entries
Let $A$ be a finite subset of a field $\mathbb{F}$ and $D_n(A)$ be a set of all matrices with entries in $A$, namely $$ D_n(A)=\{D\in \mathbb{F}\ |\ \exists a_{ij}\in A, 1 \le i,j \le n, \det\bigl((a_{ij})\bigr)=D\}, $$ where the symbol $(a_{ij})$ defines the matrix with elements $a_{ij}$. How big is the size of the set $D_n(A)$ comparing to the size of the set $A$?
math.NT
let a be a finite subset of a field mathbbf and d_na be a set of all matrices with entries in a namely d_nadin mathbbf exists a_ijin a 1 le ij le n detbigla_ijbigrd where the symbol a_ij defines the matrix with elements a_ij how big is the size of the set d_na comparing to the size of the set a
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1,802.02112
Projective modules over classical Lie algebras of infinite rank in the parabolic category
We study the truncation functors and show the existence of projective cover of each irreducible module in parabolic BGG category $\mathcal O$ over infinite rank Lie algebra of types $\mathfrak{a,b,c,d}$. Moreover, $\mathcal O$ is a Koszul category. As a consequence, the corresponding parabolic BGG category $\overline{\mathcal O}$ over infinite rank Lie superalgebra of types $\mathfrak{a,b,c,d}$ through the super duality is also a Koszul category.
math.RT
we study the truncation functors and show the existence of projective cover of each irreducible module in parabolic bgg category mathcal o over infinite rank lie algebra of types mathfrakabcd moreover mathcal o is a koszul category as a consequence the corresponding parabolic bgg category overlinemathcal o over infinite rank lie superalgebra of types mathfrakabcd through the super duality is also a koszul category
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1,802.02113
Dimer-dimer zero crossing and dilute dimerized liquid in a one-dimensional mixture
We consider the system of dimers formed in a one-dimensional mass-balanced Bose-Bose mixture of species $\sigma=\uparrow$, $\downarrow$ with attractive interspecies and repulsive intraspecies contact interactions. In the plane parametrized by the ratios of the coupling constants $g_{\uparrow\uparrow}/|g_{\uparrow\downarrow}|$ and $g_{\downarrow\downarrow}/|g_{\uparrow\downarrow}|$ we trace out the curve where the dimer-dimer interaction switches from attractive to repulsive. We find this curve to be significantly (by more than a factor of 2) shifted towards larger $g_{\sigma\sigma}$ (or smaller $|g_{\uparrow\downarrow}|$) compared to the mean-field stability boundary $g_{\uparrow\uparrow}g_{\downarrow\downarrow}=g_{\uparrow\downarrow}^2$. For a weak dimer-dimer attraction we predict a dilute dimerized liquid phase stabilized against collapse by a repulsive three-dimer force.
cond-mat.quant-gas
we consider the system of dimers formed in a onedimensional massbalanced bosebose mixture of species sigmauparrow downarrow with attractive interspecies and repulsive intraspecies contact interactions in the plane parametrized by the ratios of the coupling constants g_uparrowuparrowg_uparrowdownarrow and g_downarrowdownarrowg_uparrowdownarrow we trace out the curve where the dimerdimer interaction switches from attractive to repulsive we find this curve to be significantly by more than a factor of 2 shifted towards larger g_sigmasigma or smaller g_uparrowdownarrow compared to the meanfield stability boundary g_uparrowuparrowg_downarrowdownarrowg_uparrowdownarrow2 for a weak dimerdimer attraction we predict a dilute dimerized liquid phase stabilized against collapse by a repulsive threedimer force
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1,802.02114
Investigations on Knowledge Base Embedding for Relation Prediction and Extraction
We report an evaluation of the effectiveness of the existing knowledge base embedding models for relation prediction and for relation extraction on a wide range of benchmarks. We also describe a new benchmark, which is much larger and complex than previous ones, which we introduce to help validate the effectiveness of both tasks. The results demonstrate that knowledge base embedding models are generally effective for relation prediction but unable to give improvements for the state-of-art neural relation extraction model with the existing strategies, while pointing limitations of existing methods.
cs.CL
we report an evaluation of the effectiveness of the existing knowledge base embedding models for relation prediction and for relation extraction on a wide range of benchmarks we also describe a new benchmark which is much larger and complex than previous ones which we introduce to help validate the effectiveness of both tasks the results demonstrate that knowledge base embedding models are generally effective for relation prediction but unable to give improvements for the stateofart neural relation extraction model with the existing strategies while pointing limitations of existing methods
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1,802.02115
Exact local correlations and full counting statistics for arbitrary states of the one-dimensional interacting Bose gas
We derive exact analytic expressions for the $n$-body local correlations in the one-dimensional Bose gas with contact repulsive interactions (Lieb-Liniger model) in the thermodynamic limit. Our results are valid for arbitrary states of the model, including ground and thermal states, stationary states after a quantum quench, and non-equilibrium steady states arising in transport settings. Calculations for these states are explicitly presented and physical consequences are critically discussed. We also show that the $n$-body local correlations are directly related to the full counting statistics for the particle-number fluctuations in a short interval, for which we provide an explicit analytic result.
cond-mat.quant-gas cond-mat.stat-mech quant-ph
we derive exact analytic expressions for the nbody local correlations in the onedimensional bose gas with contact repulsive interactions liebliniger model in the thermodynamic limit our results are valid for arbitrary states of the model including ground and thermal states stationary states after a quantum quench and nonequilibrium steady states arising in transport settings calculations for these states are explicitly presented and physical consequences are critically discussed we also show that the nbody local correlations are directly related to the full counting statistics for the particlenumber fluctuations in a short interval for which we provide an explicit analytic result
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1,802.02116
Non-Projective Dependency Parsing via Latent Heads Representation (LHR)
In this paper, we introduce a novel approach based on a bidirectional recurrent autoencoder to perform globally optimized non-projective dependency parsing via semi-supervised learning. The syntactic analysis is completed at the end of the neural process that generates a Latent Heads Representation (LHR), without any algorithmic constraint and with a linear complexity. The resulting "latent syntactic structure" can be used directly in other semantic tasks. The LHR is transformed into the usual dependency tree computing a simple vectors similarity. We believe that our model has the potential to compete with much more complex state-of-the-art parsing architectures.
cs.CL
in this paper we introduce a novel approach based on a bidirectional recurrent autoencoder to perform globally optimized nonprojective dependency parsing via semisupervised learning the syntactic analysis is completed at the end of the neural process that generates a latent heads representation lhr without any algorithmic constraint and with a linear complexity the resulting latent syntactic structure can be used directly in other semantic tasks the lhr is transformed into the usual dependency tree computing a simple vectors similarity we believe that our model has the potential to compete with much more complex stateoftheart parsing architectures
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1,802.02117
All-electrical universal control of a double quantum dot qubit in silicon MOS
Qubits based on transistor-like Si MOS nanodevices are promising for quantum computing. In this work, we demonstrate a double quantum dot spin qubit that is all-electrically controlled without the need for any external components, like micromagnets, that could complicate integration. Universal control of the qubit is achieved through spin-orbit-like and exchange interactions. Using single shot readout, we show both DC- and AC-control techniques. The fabrication technology used is completely compatible with CMOS.
cond-mat.mes-hall
qubits based on transistorlike si mos nanodevices are promising for quantum computing in this work we demonstrate a double quantum dot spin qubit that is allelectrically controlled without the need for any external components like micromagnets that could complicate integration universal control of the qubit is achieved through spinorbitlike and exchange interactions using single shot readout we show both dc and accontrol techniques the fabrication technology used is completely compatible with cmos
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1,802.02118
A note on supercyclic operators in locally convex spaces
We treat some questions related to supercyclicity of continuous linear operators when acting in locally convex spaces. We extend results of Ansari and Bourdon and consider doubly power bounded operators in this general setting. Some examples are given.
math.FA
we treat some questions related to supercyclicity of continuous linear operators when acting in locally convex spaces we extend results of ansari and bourdon and consider doubly power bounded operators in this general setting some examples are given
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1,802.02119
Ultrafast Imaging of Laser Driven Shock Waves using Betatron X-rays from a Laser Wakefield Accelerator
Betatron radiation from laser wakefield accelerators is an ultrashort pulsed source of hard, synchrotron-like x-ray radiation. It emanates from a centimetre scale plasma accelerator producing GeV level electron beams. In recent years betatron radiation has been developed as a unique source capable of producing high resolution x-ray images in compact geometries. However, until now, the short pulse nature of this radiation has not been exploited. This report details the first experiment to utilise betatron radiation to image a rapidly evolving phenomenon by using it to radiograph a laser driven shock wave in a silicon target. The spatial resolution of the image is comparable to what has been achieved in similar experiments at conventional synchrotron light sources. The intrinsic temporal resolution of betatron radiation is below 100 fs, indicating that significantly faster processes could be probed in future without compromising spatial resolution. Quantitative measurements of the shock velocity and material density were made from the radiographs recorded during shock compression and were consistent with the established shock response of silicon, as determined with traditional velocimetry approaches. This suggests that future compact betatron imaging beamlines could be useful in the imaging and diagnosis of high-energy-density physics experiments.
physics.plasm-ph
betatron radiation from laser wakefield accelerators is an ultrashort pulsed source of hard synchrotronlike xray radiation it emanates from a centimetre scale plasma accelerator producing gev level electron beams in recent years betatron radiation has been developed as a unique source capable of producing high resolution xray images in compact geometries however until now the short pulse nature of this radiation has not been exploited this report details the first experiment to utilise betatron radiation to image a rapidly evolving phenomenon by using it to radiograph a laser driven shock wave in a silicon target the spatial resolution of the image is comparable to what has been achieved in similar experiments at conventional synchrotron light sources the intrinsic temporal resolution of betatron radiation is below 100 fs indicating that significantly faster processes could be probed in future without compromising spatial resolution quantitative measurements of the shock velocity and material density were made from the radiographs recorded during shock compression and were consistent with the established shock response of silicon as determined with traditional velocimetry approaches this suggests that future compact betatron imaging beamlines could be useful in the imaging and diagnosis of highenergydensity physics experiments
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1,802.0212
Isotropic Scattering in a Flatland Half-Space
We solve the Milne, constant-source and albedo problems for isotropic scattering in a two-dimensional "Flatland" half-space via the Wiener-Hopf method. The Flatland $H$-function is derived and benchmark values and some identities unique to Flatland are presented. A number of the derivations are supported by Monte Carlo simulation.
physics.class-ph cs.GR
we solve the milne constantsource and albedo problems for isotropic scattering in a twodimensional flatland halfspace via the wienerhopf method the flatland hfunction is derived and benchmark values and some identities unique to flatland are presented a number of the derivations are supported by monte carlo simulation
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1,802.02121
Tunable current circulation in triangular quantum-dot metastructures
Advances in fabrication and control of quantum dots allow the realization of metastructures that may exhibit novel electrical transport phenomena. Here, we investigate the electrical current passing through one such metastructure, a system composed of quantum dots placed at the vertices of a triangle. The wave natural of quantum particles leads to internal current circulation within the metastructure in the absence of any external magnetic field. We uncover the relation between its steady-state total current and the internal circulation. By calculating the electronic correlations in quantum transport exactly, we present phase diagrams showing where different types of current circulation can be found as a function of the correlation strength and the coupling between the quantum dots. Finally, we show that the regimes of current circulation can be further enhanced or reduced depending on the local spatial distribution of the interactions, suggesting a single-particle scattering mechanism is at play even in the strongly-correlated regime. We suggest experimental realizations of actual quantum-dot metastructures where our predictions can be directly tested.
cond-mat.mes-hall cond-mat.quant-gas quant-ph
advances in fabrication and control of quantum dots allow the realization of metastructures that may exhibit novel electrical transport phenomena here we investigate the electrical current passing through one such metastructure a system composed of quantum dots placed at the vertices of a triangle the wave natural of quantum particles leads to internal current circulation within the metastructure in the absence of any external magnetic field we uncover the relation between its steadystate total current and the internal circulation by calculating the electronic correlations in quantum transport exactly we present phase diagrams showing where different types of current circulation can be found as a function of the correlation strength and the coupling between the quantum dots finally we show that the regimes of current circulation can be further enhanced or reduced depending on the local spatial distribution of the interactions suggesting a singleparticle scattering mechanism is at play even in the stronglycorrelated regime we suggest experimental realizations of actual quantumdot metastructures where our predictions can be directly tested
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1,802.02122
Towards an improvement in the spectral description of central stars of planetary nebulae
Context. There are more than 3000 known Galactic planetary nebulae (PNe), but only 492 central stars of Galactic planetary nebulae (CSPN) have known spectral types. It is vital to increase this number in order to have reliable statistics, which will lead to an increase of our understanding of these amazing objects. Aims. We aim to contribute to the knowledge of central stars of planetary nebulae and stellar evolution. Methods. This observational study is based on Gemini Multi-Object Spectrographs (GMOS) and with the Intermediate Dispersion Spectrograph (IDS) at the Isaac Newton Telescope (INT) spectra of 78 CSPN. The objects were selected because they did not have any previous classification, or the present classification is ambiguous. These new high quality spectra allowed us to identify the key stellar lines for determining spectral classification in the Morgan-Keenan (MK) system. Results. We have acquired optical spectra of a large sample of CSPN. From the observed targets, 50 are classified here for the first time while for 28 the existing classifications have been improved. In seven objects we have identified a P-Cygni profile at the He i lines. Six of these CSPN are late O-type. The vast majority of the stars in the sample exhibit an absorption-type spectrum, and in one case we have found wide emission lines typical of [WR] stars. We give a complementary, and preliminary, classification criterion to obtain the sub-type of the O(H)-type CSPN. Finally, we give a more realistic value of the proportion of CSPN that are rich or poor in hydrogen.
astro-ph.GA
context there are more than 3000 known galactic planetary nebulae pne but only 492 central stars of galactic planetary nebulae cspn have known spectral types it is vital to increase this number in order to have reliable statistics which will lead to an increase of our understanding of these amazing objects aims we aim to contribute to the knowledge of central stars of planetary nebulae and stellar evolution methods this observational study is based on gemini multiobject spectrographs gmos and with the intermediate dispersion spectrograph ids at the isaac newton telescope int spectra of 78 cspn the objects were selected because they did not have any previous classification or the present classification is ambiguous these new high quality spectra allowed us to identify the key stellar lines for determining spectral classification in the morgankeenan mk system results we have acquired optical spectra of a large sample of cspn from the observed targets 50 are classified here for the first time while for 28 the existing classifications have been improved in seven objects we have identified a pcygni profile at the he i lines six of these cspn are late otype the vast majority of the stars in the sample exhibit an absorptiontype spectrum and in one case we have found wide emission lines typical of wr stars we give a complementary and preliminary classification criterion to obtain the subtype of the ohtype cspn finally we give a more realistic value of the proportion of cspn that are rich or poor in hydrogen
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1,802.02123
A super--convergent hybridisable discontinuous Galerkin method for linear elasticity
The first super-convergent hybridisable discontinuous Galerkin (HDG) method for linear elastic problems capable of using the same degree of approximation for both the primal and mixed variables is presented. The key feature of the method is the strong imposition of the symmetry of the stress tensor by means of the well-known and extensively used Voigt notation, circumventing the use of complex mathematical concepts to enforce the symmetry of the stress tensor either weakly or strongly. A novel procedure to construct element-by-element a super-convergent post-processed displacement is proposed. Contrary to other HDG formulations, the methodology proposed here is able to produce a super-convergent displacement field for low order approximations. The resulting method is robust and locking-free in the nearly-incompressible limit. An extensive set of numerical examples is utilised to provide evidence of the optimality of the method and its super-convergent properties in two and three dimensions and for different element types.
math.NA cs.CE cs.NA
the first superconvergent hybridisable discontinuous galerkin hdg method for linear elastic problems capable of using the same degree of approximation for both the primal and mixed variables is presented the key feature of the method is the strong imposition of the symmetry of the stress tensor by means of the wellknown and extensively used voigt notation circumventing the use of complex mathematical concepts to enforce the symmetry of the stress tensor either weakly or strongly a novel procedure to construct elementbyelement a superconvergent postprocessed displacement is proposed contrary to other hdg formulations the methodology proposed here is able to produce a superconvergent displacement field for low order approximations the resulting method is robust and lockingfree in the nearlyincompressible limit an extensive set of numerical examples is utilised to provide evidence of the optimality of the method and its superconvergent properties in two and three dimensions and for different element types
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1,802.02124
Capacitive microwave sensor for toxic vapor detection in an atmospheric environment
-This paper presents an inkjet printing capacitive microwave sensor for toxic vapor detection. The designed sensors were presented and fabricated with success. The experiments show sensitivity to ethanol vapor according to the S parameters. It is equal to 0.9 kHz/ppm and 1.3 kHz/ppm for the sensors based on 5 and 50 sensitive layers respectively. This sensor will be integrated into real-time multi-sensing platforms adaptable for the Internet of Things (IoT).
physics.ins-det physics.app-ph
this paper presents an inkjet printing capacitive microwave sensor for toxic vapor detection the designed sensors were presented and fabricated with success the experiments show sensitivity to ethanol vapor according to the s parameters it is equal to 09 khzppm and 13 khzppm for the sensors based on 5 and 50 sensitive layers respectively this sensor will be integrated into realtime multisensing platforms adaptable for the internet of things iot
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1,802.02125
How to Mobilize mmWave: A Joint Beam and Channel Tracking Approach
Maintaining reliable millimeter wave (mmWave) connections to many fast-moving mobiles is a key challenge in the theory and practice of 5G systems. In this paper, we develop a new algorithm that can jointly track the beam direction and channel coefficient of mmWave propagation paths using phased antenna arrays. Despite the significant difficulty in this problem, our algorithm can simultaneously achieve fast tracking speed, high tracking accuracy, and low pilot overhead. In static scenarios, this algorithm can converge to the minimum Cram\'er-Rao lower bound of beam direction with high probability. Simulations reveal that this algorithm greatly outperforms several existing algorithms. Even at SNRs as low as 5dB, our algorithm is capable of tracking a mobile moving at an angular velocity of 5.45 degrees per second and achieving over 95\% of channel capacity with a 32-antenna phased array, by inserting only 10 pilots per second.
cs.IT math.IT
maintaining reliable millimeter wave mmwave connections to many fastmoving mobiles is a key challenge in the theory and practice of 5g systems in this paper we develop a new algorithm that can jointly track the beam direction and channel coefficient of mmwave propagation paths using phased antenna arrays despite the significant difficulty in this problem our algorithm can simultaneously achieve fast tracking speed high tracking accuracy and low pilot overhead in static scenarios this algorithm can converge to the minimum cramerrao lower bound of beam direction with high probability simulations reveal that this algorithm greatly outperforms several existing algorithms even at snrs as low as 5db our algorithm is capable of tracking a mobile moving at an angular velocity of 545 degrees per second and achieving over 95 of channel capacity with a 32antenna phased array by inserting only 10 pilots per second
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1,802.02126
Non-local kinetic energy functional from the Jellium-with-gap model: applications to Orbital-Free Density Functional Theory
Orbital-Free Density Functional Theory (OF-DFT) promises to describe the electronic structure of very large quantum systems, being its computational cost linear with the system size. However, the OF-DFT accuracy strongly depends on the approximation made for the kinetic energy (KE) functional. To date, the most accurate KE functionals are non-local functionals based on the linear-response kernel of the homogeneous electron gas, i.e. the jellium model. Here, we use the linear-response kernel of the jellium-with-gap model, to construct a simple non-local KE functional (named KGAP) which depends on the band gap energy. In the limit of vanishing energy-gap (i.e. in the case of metals), the KGAP is equivalent to the Smargiassi-Madden (SM) functional, which is accurate for metals. For a series of semiconductors (with different energy-gaps), the KGAP performs much better than SM, and results are close to the state-of-the-art functionals with complicated density-dependent kernels.
physics.chem-ph
orbitalfree density functional theory ofdft promises to describe the electronic structure of very large quantum systems being its computational cost linear with the system size however the ofdft accuracy strongly depends on the approximation made for the kinetic energy ke functional to date the most accurate ke functionals are nonlocal functionals based on the linearresponse kernel of the homogeneous electron gas ie the jellium model here we use the linearresponse kernel of the jelliumwithgap model to construct a simple nonlocal ke functional named kgap which depends on the band gap energy in the limit of vanishing energygap ie in the case of metals the kgap is equivalent to the smargiassimadden sm functional which is accurate for metals for a series of semiconductors with different energygaps the kgap performs much better than sm and results are close to the stateoftheart functionals with complicated densitydependent kernels
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1,802.02127
Collateral Unchained: Rehypothecation networks, concentration and systemic effects
We study how network structure affects the dynamics of collateral in presence of rehypothecation. We build a simple model wherein banks interact via chains of repo contracts and use their proprietary collateral or re-use the collateral obtained by other banks via reverse repos. In this framework, we show that total collateral volume and its velocity are affected by characteristics of the network like the length of rehypothecation chains, the presence or not of chains having a cyclic structure, the direction of collateral flows, the density of the network. In addition, we show that structures where collateral flows are concentrated among few nodes (like in core-periphery networks) allow large increases in collateral volumes already with small network density. Furthermore, we introduce in the model collateral hoarding rates determined according to a Value-at-Risk (VaR) criterion, and we then study the emergence of collateral hoarding cascades in different networks. Our results highlight that network structures with highly concentrated collateral flows are also more exposed to large collateral hoarding cascades following local shocks. These networks are therefore characterized by a trade-off between liquidity and systemic risk.
q-fin.RM q-fin.MF
we study how network structure affects the dynamics of collateral in presence of rehypothecation we build a simple model wherein banks interact via chains of repo contracts and use their proprietary collateral or reuse the collateral obtained by other banks via reverse repos in this framework we show that total collateral volume and its velocity are affected by characteristics of the network like the length of rehypothecation chains the presence or not of chains having a cyclic structure the direction of collateral flows the density of the network in addition we show that structures where collateral flows are concentrated among few nodes like in coreperiphery networks allow large increases in collateral volumes already with small network density furthermore we introduce in the model collateral hoarding rates determined according to a valueatrisk var criterion and we then study the emergence of collateral hoarding cascades in different networks our results highlight that network structures with highly concentrated collateral flows are also more exposed to large collateral hoarding cascades following local shocks these networks are therefore characterized by a tradeoff between liquidity and systemic risk
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1,802.02128
Fifty years of the finite nonperiodic Toda lattice: A geometric and topological viewpoint
In 1967, Japanese physicist Morikazu Toda published a pair of seminal papers in the Journal of the Physical Society of Japan that exhibited soliton solutions to a chain of particles with nonlinear interactions between nearest neighbors. In the fifty years that followed, Toda's system of particles has been generalized in different directions, each with its own analytic, geometric, and topological characteristics. These are known collectively as the Toda lattice. This survey recounts and compares the various versions of the finite nonperiodic Toda lattice from the perspective of their geometry and topology. In particular, we highlight the polytope structure of the solution spaces as viewed through the moment map, and we explain the connection between the real indefinite Toda flows and the integral cohomology of real flag varieties.
nlin.SI hep-th math-ph math.MP
in 1967 japanese physicist morikazu toda published a pair of seminal papers in the journal of the physical society of japan that exhibited soliton solutions to a chain of particles with nonlinear interactions between nearest neighbors in the fifty years that followed todas system of particles has been generalized in different directions each with its own analytic geometric and topological characteristics these are known collectively as the toda lattice this survey recounts and compares the various versions of the finite nonperiodic toda lattice from the perspective of their geometry and topology in particular we highlight the polytope structure of the solution spaces as viewed through the moment map and we explain the connection between the real indefinite toda flows and the integral cohomology of real flag varieties
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1,802.02129
Age-Minimal Online Policies for Energy Harvesting Sensors with Incremental Battery Recharges
A sensor node that is sending measurement updates regarding some physical phenomenon to a destination is considered. The sensor relies on energy harvested from nature to transmit its updates, and is equipped with a finite $B$-sized battery to save its harvested energy. Energy recharges the battery incrementally in units, according to a Poisson process, and one update consumes one energy unit to reach the destination. The setting is online, where the energy arrival times are revealed causally after the energy is harvested. The goal is to update the destination in a timely manner, namely, such that the long term average age of information is minimized, subject to energy causality constraints. The age of information at a given time is defined as the time spent since the latest update has reached the destination. It is shown that the optimal update policy follows a renewal structure, where the inter-update times are independent, and the time durations between any two consecutive events of submitting an update and having $k$ units of energy remaining in the battery are independent and identically distributed for a given $k\leq B-1$. The optimal renewal policy for the case of $B=2$ energy units is explicitly characterized, and it is shown that it has an energy-dependent threshold structure, where the sensor updates only if the age grows above a certain threshold that is a function of the amount of energy in its battery.
cs.IT cs.NI eess.SP math.IT
a sensor node that is sending measurement updates regarding some physical phenomenon to a destination is considered the sensor relies on energy harvested from nature to transmit its updates and is equipped with a finite bsized battery to save its harvested energy energy recharges the battery incrementally in units according to a poisson process and one update consumes one energy unit to reach the destination the setting is online where the energy arrival times are revealed causally after the energy is harvested the goal is to update the destination in a timely manner namely such that the long term average age of information is minimized subject to energy causality constraints the age of information at a given time is defined as the time spent since the latest update has reached the destination it is shown that the optimal update policy follows a renewal structure where the interupdate times are independent and the time durations between any two consecutive events of submitting an update and having k units of energy remaining in the battery are independent and identically distributed for a given kleq b1 the optimal renewal policy for the case of b2 energy units is explicitly characterized and it is shown that it has an energydependent threshold structure where the sensor updates only if the age grows above a certain threshold that is a function of the amount of energy in its battery
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1,802.0213
Hamiltonian formalism for f(T) gravity
We present the Hamiltonian formalism for $f(T)$ gravity, and prove that the theory has $\frac{n(n-3)}{2}+1$ degrees of freedom (d.o.f.) in $n$ dimensions. We start from a scalar-tensor action for the theory, which represents a scalar field minimally coupled with the torsion scalar $T$ that defines the teleparallel equivalent of general relativity (TEGR) Lagrangian. $T$ is written as a quadratic form of the coefficients of anholonomy of the vierbein. We obtain the primary constraints through the analysis of the structure of the eigenvalues of the multi-index matrix involved in the definition of the canonical momenta. The auxiliary scalar field generates one extra primary constraint when compared with the TEGR case. The secondary constraints are the super-Hamiltonian and supermomenta constraints, that are preserved from the Arnowitt-Deser-Misner formulation of GR. There is a set of $\frac{n(n-1)}{2}$ primary constraints that represent the local Lorentz transformations of the theory, which can be combined to form a set of $\frac{n(n-1)}{2}-1$ first-class constraints, while one of them becomes second-class. This result is irrespective of the dimension, due to the structure of the matrix of the brackets between the constraints. The first-class canonical Hamiltonian is modified due to this local Lorentz violation, and the only one local Lorentz transformation that becomes second-class pairs up with the second-class constraint $\pi \approx 0$ to remove one d.o.f. from the $n^2+1$ pairs of canonical variables. The remaining $\frac{n(n-1)}{2}+2n-1$ primary constraints remove the same number of d.o.f., leaving the theory with $\frac{n(n-3)}{2}+1$ d.o.f. This means that $f(T)$ gravity has only one extra d.o.f., which could be interpreted as a scalar d.o.f.
gr-qc hep-th
we present the hamiltonian formalism for ft gravity and prove that the theory has fracnn321 degrees of freedom dof in n dimensions we start from a scalartensor action for the theory which represents a scalar field minimally coupled with the torsion scalar t that defines the teleparallel equivalent of general relativity tegr lagrangian t is written as a quadratic form of the coefficients of anholonomy of the vierbein we obtain the primary constraints through the analysis of the structure of the eigenvalues of the multiindex matrix involved in the definition of the canonical momenta the auxiliary scalar field generates one extra primary constraint when compared with the tegr case the secondary constraints are the superhamiltonian and supermomenta constraints that are preserved from the arnowittdesermisner formulation of gr there is a set of fracnn12 primary constraints that represent the local lorentz transformations of the theory which can be combined to form a set of fracnn121 firstclass constraints while one of them becomes secondclass this result is irrespective of the dimension due to the structure of the matrix of the brackets between the constraints the firstclass canonical hamiltonian is modified due to this local lorentz violation and the only one local lorentz transformation that becomes secondclass pairs up with the secondclass constraint pi approx 0 to remove one dof from the n21 pairs of canonical variables the remaining fracnn122n1 primary constraints remove the same number of dof leaving the theory with fracnn321 dof this means that ft gravity has only one extra dof which could be interpreted as a scalar dof
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1,802.02131
Generalizing Multiple Access Wiretap and Wiretap II Channel Models: Achievable Rates and Cost of Strong Secrecy
In this paper, new two-user multiple access wiretap channel models are studied. First, the multiple access wiretap channel II with a discrete memoryless main channel, under three different wiretapping scenarios, is introduced. The wiretapper, as in the classical wiretap channel II model, chooses a fixed-length subset of the channel uses on which she obtains noise-free observations of one of the codewords, a superposition of the two codewords, or each of the two codewords. These thus extend the recently examined wiretap channel II with a noisy main channel to a multiple access setting with a variety of attack models for the wiretapper. Next, a new multiple access wiretap channel model, which further generalizes the multiple access wiretap channel II under the third wiretapping scenario, i.e., that which features the strongest adversarial model, is proposed. In this model, the wiretapper, besides choosing a subset of the channel uses to noiselessly observe the transmitted codeword symbols of both users, observes the remainder of the two codewords through a discrete memoryless multiple access channel. Achievable strong secrecy rate regions for all the proposed models are derived. Achievability is established by solving dual multi-terminal secret key agreement problems in the source model, and converting the solution to the original channel models using probability distribution approximation arguments. The derived achievable rate regions quantify the secrecy cost due to the additional capabilities of the wiretapper with respect to the previous multiple access wiretap models.
cs.IT math.IT
in this paper new twouser multiple access wiretap channel models are studied first the multiple access wiretap channel ii with a discrete memoryless main channel under three different wiretapping scenarios is introduced the wiretapper as in the classical wiretap channel ii model chooses a fixedlength subset of the channel uses on which she obtains noisefree observations of one of the codewords a superposition of the two codewords or each of the two codewords these thus extend the recently examined wiretap channel ii with a noisy main channel to a multiple access setting with a variety of attack models for the wiretapper next a new multiple access wiretap channel model which further generalizes the multiple access wiretap channel ii under the third wiretapping scenario ie that which features the strongest adversarial model is proposed in this model the wiretapper besides choosing a subset of the channel uses to noiselessly observe the transmitted codeword symbols of both users observes the remainder of the two codewords through a discrete memoryless multiple access channel achievable strong secrecy rate regions for all the proposed models are derived achievability is established by solving dual multiterminal secret key agreement problems in the source model and converting the solution to the original channel models using probability distribution approximation arguments the derived achievable rate regions quantify the secrecy cost due to the additional capabilities of the wiretapper with respect to the previous multiple access wiretap models
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1,802.02132
An Analysis of Transiting Hot Jupiters Observed with K2: WASP-55b and WASP-75b
We present our analysis of the K2 short-cadence data of two previously known hot Jupiter exoplanets: WASP-55b and WASP-75b. The high precision of the K2 lightcurves enabled us to search for transit timing and duration variations, rotational modulation, starspots, phase-curve variations and additional transiting planets. We identified stellar variability in the WASP-75 lightcurve which may be an indication of rotational modulation, with an estimated period of $11.2\pm1.5$ days. We combined this with the spectroscopically measured $v\sin(i_*)$ to calculate a possible line of sight projected inclination angle of $i_*=41\pm16^{\circ}$. We also perform a global analysis of K2 and previously published data to refine the system parameters.
astro-ph.EP
we present our analysis of the k2 shortcadence data of two previously known hot jupiter exoplanets wasp55b and wasp75b the high precision of the k2 lightcurves enabled us to search for transit timing and duration variations rotational modulation starspots phasecurve variations and additional transiting planets we identified stellar variability in the wasp75 lightcurve which may be an indication of rotational modulation with an estimated period of 112pm15 days we combined this with the spectroscopically measured vsini_ to calculate a possible line of sight projected inclination angle of i_41pm16circ we also perform a global analysis of k2 and previously published data to refine the system parameters
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1,802.02133
Exploring the Potential of Short-Baseline Physics at Fermilab
We study the capabilities of the short baseline neutrino program at Fermilab to probe the unitarity of the lepton mixing matrix. We find the sensitivity to be slightly better than the current one. Motivated by the future DUNE experiment, we have also analyzed the potential of an extra liquid Argon near detector in the LBNF beamline. Adding such a near detector to the DUNE setup will substantially improve the current sensitivity on non-unitarity. This would help to remove CP degeneracies due to the new complex phase present in the neutrino mixing matrix. We also study the sensitivity of our proposed setup to light sterile neutrinos for various configurations.
hep-ph hep-ex
we study the capabilities of the short baseline neutrino program at fermilab to probe the unitarity of the lepton mixing matrix we find the sensitivity to be slightly better than the current one motivated by the future dune experiment we have also analyzed the potential of an extra liquid argon near detector in the lbnf beamline adding such a near detector to the dune setup will substantially improve the current sensitivity on nonunitarity this would help to remove cp degeneracies due to the new complex phase present in the neutrino mixing matrix we also study the sensitivity of our proposed setup to light sterile neutrinos for various configurations
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1,802.02134
From Birefringent Electrons to a Marginal or Non-Fermi Liquid of Relativistic Spin-1/2 Fermions: An Emergent Superuniversality
We present the quantum critical theory of an interacting nodal Fermi-liquid of quasi-relativisitc pseudo-spin-3/2 fermions that have a non-interacting birefringent spectrum with two distinct Fermi velocities. When such quasiparticles interact with gapless bosonic degrees of freedom that mediate either the long-range Coulomb interaction or its short range component (responsible for spontaneous symmetry breaking), in the deep infrared or quantum critical regime in two dimensions the system is respectively described by a marginal- or a non-Fermi liquid of relativistic spin-1/2 fermions (possessing a unique velocity), and is always a marginal Fermi liquid in three dimensions. We consider a possible generalization of these scenarios to fermions with an arbitrary half-odd-integer spin, and conjecture that critical spin-1/2 excitations represent a superuniversal description of the entire family of interacting quasi-relativistic fermions.
cond-mat.mes-hall cond-mat.str-el hep-th
we present the quantum critical theory of an interacting nodal fermiliquid of quasirelativisitc pseudospin32 fermions that have a noninteracting birefringent spectrum with two distinct fermi velocities when such quasiparticles interact with gapless bosonic degrees of freedom that mediate either the longrange coulomb interaction or its short range component responsible for spontaneous symmetry breaking in the deep infrared or quantum critical regime in two dimensions the system is respectively described by a marginal or a nonfermi liquid of relativistic spin12 fermions possessing a unique velocity and is always a marginal fermi liquid in three dimensions we consider a possible generalization of these scenarios to fermions with an arbitrary halfoddinteger spin and conjecture that critical spin12 excitations represent a superuniversal description of the entire family of interacting quasirelativistic fermions
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1,802.02135
Ionized and molecular gas kinematics in a z=1.4 star-forming galaxy
We present deep observations of a $z=1.4$ massive, star-forming galaxy in molecular and ionized gas at comparable spatial resolution (CO 3-2, NOEMA; H$\alpha$, LBT). The kinematic tracers agree well, indicating that both gas phases are subject to the same gravitational potential and physical processes affecting the gas dynamics. We combine the one-dimensional velocity and velocity dispersion profiles in CO and H$\alpha$ to forward-model the galaxy in a Bayesian framework, combining a thick exponential disk, a bulge, and a dark matter halo. We determine the dynamical support due to baryons and dark matter, and find a dark matter fraction within one effective radius of $f_{\rm DM}(\leq$$R_{e})=0.18^{+0.06}_{-0.04}$. Our result strengthens the evidence for strong baryon-dominance on galactic scales of massive $z\sim1-3$ star-forming galaxies recently found based on ionized gas kinematics alone.
astro-ph.GA
we present deep observations of a z14 massive starforming galaxy in molecular and ionized gas at comparable spatial resolution co 32 noema halpha lbt the kinematic tracers agree well indicating that both gas phases are subject to the same gravitational potential and physical processes affecting the gas dynamics we combine the onedimensional velocity and velocity dispersion profiles in co and halpha to forwardmodel the galaxy in a bayesian framework combining a thick exponential disk a bulge and a dark matter halo we determine the dynamical support due to baryons and dark matter and find a dark matter fraction within one effective radius of f_rm dmleqr_e018006_004 our result strengthens the evidence for strong baryondominance on galactic scales of massive zsim13 starforming galaxies recently found based on ionized gas kinematics alone
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1,802.02136
ALMA 26 Arcmin$^{2}$ Survey of GOODS-S at One-millimeter (ASAGAO): Average Morphology of High-$z$ Dusty Star-Forming Galaxies is an Exponential-Disk ($n \simeq 1$)
We present morphological properties of dusty star-forming galaxies at z=1-3 determined with high-resolution (FWHM~0"19) Atacama Large Milllimeter/submilimeter Array (ALMA) 1-mm band maps of our ASAGAO survey covering a 26-arcmin^2 area in GOODS-S. In conjunction with the ALMA archival data, the present sample consists of 42 ALMA sources with a wide rest-frame far-infrared (FIR) luminosity L_FIR range of ~10^11-10^13 Lo. To obtain an average rest-frame FIR profile, we perform individual measurements and careful stacking of the ALMA sources using the uv-visibility method that includes positional-uncertainty and smoothing-effect evaluations through Monte-Carlo simulations. We find that the dusty star-forming galaxies have the average FIR-wavelength Sersic index and effective radius of n_FIR=1.2+/-0.2 and R_e,FIR=1.0-1.3 kpc, respectively, additionally with a point source at the center, indicative of the existence of AGN. The average FIR profile agrees with a morphology of an exponential-disk clearly distinguished from a spheroidal profile (Sersic index of 4). We also examine the rest-frame optical Sersic index n_opt and effective radius R_e,opt with the deep Hubble Space Telescope (HST) images. Interestingly, we obtain n_opt=0.9+/-0.3 (~n_FIR) and R_e,opt=3.2+/-0.6 kpc (>R_e,FIR), suggesting that the FIR-emitting disk is embedded within a larger stellar disk. The rest-frame UV and FIR data of HST and ALMA provide us a radial surface density profile of the total star-formation rate (SFR), where the FIR SFR dominates over the UV SFR at the center. Under the simple assumption of a constant SFR, a compact stellar distribution found in z~1-2 compact quiescent galaxies (cQGs) is well reproduced, while a spheroidal stellar morphology of cQGs (n_opt=4) cannot, suggestive of other important mechanisms such as dynamical dissipation.
astro-ph.GA
we present morphological properties of dusty starforming galaxies at z13 determined with highresolution fwhm019 atacama large milllimetersubmilimeter array alma 1mm band maps of our asagao survey covering a 26arcmin2 area in goodss in conjunction with the alma archival data the present sample consists of 42 alma sources with a wide restframe farinfrared fir luminosity l_fir range of 10111013 lo to obtain an average restframe fir profile we perform individual measurements and careful stacking of the alma sources using the uvvisibility method that includes positionaluncertainty and smoothingeffect evaluations through montecarlo simulations we find that the dusty starforming galaxies have the average firwavelength sersic index and effective radius of n_fir1202 and r_efir1013 kpc respectively additionally with a point source at the center indicative of the existence of agn the average fir profile agrees with a morphology of an exponentialdisk clearly distinguished from a spheroidal profile sersic index of 4 we also examine the restframe optical sersic index n_opt and effective radius r_eopt with the deep hubble space telescope hst images interestingly we obtain n_opt0903 n_fir and r_eopt3206 kpc r_efir suggesting that the firemitting disk is embedded within a larger stellar disk the restframe uv and fir data of hst and alma provide us a radial surface density profile of the total starformation rate sfr where the fir sfr dominates over the uv sfr at the center under the simple assumption of a constant sfr a compact stellar distribution found in z12 compact quiescent galaxies cqgs is well reproduced while a spheroidal stellar morphology of cqgs n_opt4 cannot suggestive of other important mechanisms such as dynamical dissipation
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1,802.02137
An Occluded Stacked Hourglass Approach to Facial Landmark Localization and Occlusion Estimation
A key step to driver safety is to observe the driver's activities with the face being a key step in this process to extracting information such as head pose, blink rate, yawns, talking to passenger which can then help derive higher level information such as distraction, drowsiness, intent, and where they are looking. In the context of driving safety, it is important for the system perform robust estimation under harsh lighting and occlusion but also be able to detect when the occlusion occurs so that information predicted from occluded parts of the face can be taken into account properly. This paper introduces the Occluded Stacked Hourglass, based on the work of original Stacked Hourglass network for body pose joint estimation, which is retrained to process a detected face window and output 68 occlusion heat maps, each corresponding to a facial landmark. Landmark location, occlusion levels and a refined face detection score, to reject false positives, are extracted from these heat maps. Using the facial landmark locations, features such as head pose and eye/mouth openness can be extracted to derive driver attention and activity. The system is evaluated for face detection, head pose, and occlusion estimation on various datasets in the wild, both quantitatively and qualitatively, and shows state-of-the-art results.
cs.CV stat.ML
a key step to driver safety is to observe the drivers activities with the face being a key step in this process to extracting information such as head pose blink rate yawns talking to passenger which can then help derive higher level information such as distraction drowsiness intent and where they are looking in the context of driving safety it is important for the system perform robust estimation under harsh lighting and occlusion but also be able to detect when the occlusion occurs so that information predicted from occluded parts of the face can be taken into account properly this paper introduces the occluded stacked hourglass based on the work of original stacked hourglass network for body pose joint estimation which is retrained to process a detected face window and output 68 occlusion heat maps each corresponding to a facial landmark landmark location occlusion levels and a refined face detection score to reject false positives are extracted from these heat maps using the facial landmark locations features such as head pose and eyemouth openness can be extracted to derive driver attention and activity the system is evaluated for face detection head pose and occlusion estimation on various datasets in the wild both quantitatively and qualitatively and shows stateoftheart results
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1,802.02138
Musical Chair: Efficient Real-Time Recognition Using Collaborative IoT Devices
The prevalence of Internet of things (IoT) devices and abundance of sensor data has created an increase in real-time data processing such as recognition of speech, image, and video. While currently such processes are offloaded to the computationally powerful cloud system, a localized and distributed approach is desirable because (i) it preserves the privacy of users and (ii) it omits the dependency on cloud services. However, IoT networks are usually composed of resource-constrained devices, and a single device is not powerful enough to process real-time data. To overcome this challenge, we examine data and model parallelism for such devices in the context of deep neural networks. We propose Musical Chair to enable efficient, localized, and dynamic real-time recognition by harvesting the aggregated computational power from the resource-constrained devices in the same IoT network as input sensors. Musical chair adapts to the availability of computing devices at runtime and adjusts to the inherit dynamics of IoT networks. To demonstrate Musical Chair, on a network of Raspberry PIs (up to 12) each connected to a camera, we implement a state-of-the-art action recognition model for videos and two recognition models for images. Compared to the Tegra TX2, an embedded low-power platform with a six-core CPU and a GPU, our distributed action recognition system achieves not only similar energy consumption but also twice the performance of the TX2. Furthermore, in image recognition, Musical Chair achieves similar performance and saves dynamic energy.
cs.CV cs.AR
the prevalence of internet of things iot devices and abundance of sensor data has created an increase in realtime data processing such as recognition of speech image and video while currently such processes are offloaded to the computationally powerful cloud system a localized and distributed approach is desirable because i it preserves the privacy of users and ii it omits the dependency on cloud services however iot networks are usually composed of resourceconstrained devices and a single device is not powerful enough to process realtime data to overcome this challenge we examine data and model parallelism for such devices in the context of deep neural networks we propose musical chair to enable efficient localized and dynamic realtime recognition by harvesting the aggregated computational power from the resourceconstrained devices in the same iot network as input sensors musical chair adapts to the availability of computing devices at runtime and adjusts to the inherit dynamics of iot networks to demonstrate musical chair on a network of raspberry pis up to 12 each connected to a camera we implement a stateoftheart action recognition model for videos and two recognition models for images compared to the tegra tx2 an embedded lowpower platform with a sixcore cpu and a gpu our distributed action recognition system achieves not only similar energy consumption but also twice the performance of the tx2 furthermore in image recognition musical chair achieves similar performance and saves dynamic energy
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1,802.02139
On the Feasibility of Generic Deep Disaggregation for Single-Load Extraction
Recently, and with the growing development of big energy datasets, data-driven learning techniques began to represent a potential solution to the energy disaggregation problem outperforming engineered and hand-crafted models. However, most proposed deep disaggregation models are load-dependent in the sense that either expert knowledge or a hyper-parameter optimization stage is required prior to training and deployment (normally for each load category) even upon acquisition and cleansing of aggregate and sub-metered data. In this paper, we present a feasibility study on the development of a generic disaggregation model based on data-driven learning. Specifically, we present a generic deep disaggregation model capable of achieving state-of-art performance in load monitoring for a variety of load categories. The developed model is evaluated on the publicly available UK-DALE dataset with a moderately low sampling frequency and various domestic loads.
cs.LG cs.CV
recently and with the growing development of big energy datasets datadriven learning techniques began to represent a potential solution to the energy disaggregation problem outperforming engineered and handcrafted models however most proposed deep disaggregation models are loaddependent in the sense that either expert knowledge or a hyperparameter optimization stage is required prior to training and deployment normally for each load category even upon acquisition and cleansing of aggregate and submetered data in this paper we present a feasibility study on the development of a generic disaggregation model based on datadriven learning specifically we present a generic deep disaggregation model capable of achieving stateofart performance in load monitoring for a variety of load categories the developed model is evaluated on the publicly available ukdale dataset with a moderately low sampling frequency and various domestic loads
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1,802.0214
Solve the General Constrained Optimal Control Problem with Common Integration Method
Computation of general state- and/or control-constrained Optimal Control Problems (OCPs) is difficult for various constraints, especially the intractable path constraint. For such problems, the theoretical convergence of numerical algorithms is usually not guaranteed, and the right solution may not be successfully obtained. With the recently proposed Variation Evolving Method (VEM), the evolution equations, which guarantee the convergence towards the optimal solution in theory even for the general constrained OCPs, are derived. In particular, the costate-free optimality conditions are established. Besides the analytic expressions of the costates and the Lagrange multipliers adjoining the terminal constraint, the integral equation that determines the Karush-Kuhn-Tucker (KKT) multiplier variable is also derived. Upon the work in this paper, the general constrained OCPs may be transformed to the Initial-value Problems (IVPs) to be solved, with common Ordinary Differential Equation (ODE) numerical integration methods.
eess.SY cs.SY math.OC
computation of general state andor controlconstrained optimal control problems ocps is difficult for various constraints especially the intractable path constraint for such problems the theoretical convergence of numerical algorithms is usually not guaranteed and the right solution may not be successfully obtained with the recently proposed variation evolving method vem the evolution equations which guarantee the convergence towards the optimal solution in theory even for the general constrained ocps are derived in particular the costatefree optimality conditions are established besides the analytic expressions of the costates and the lagrange multipliers adjoining the terminal constraint the integral equation that determines the karushkuhntucker kkt multiplier variable is also derived upon the work in this paper the general constrained ocps may be transformed to the initialvalue problems ivps to be solved with common ordinary differential equation ode numerical integration methods
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1,802.02141
Classical Electrodynamics of Extended Bodies
We study the classical electrodynamics of extended bodies. Currently, there is no self-consistent dynamical theory of such bodies in the literature. Electromagnetic energy-momentum is not conserved in the presence of charge and some addition is required. The only somewhat suitable addition found to date are point charges. These suffer from infinite self-energy, requiring some renormalization procedure, and perturbative methods to account for radiation. We review the history that has led to the understanding of these facts. We then investigate possible self-consistent, non-point-charge, classical electrodynamic theories. We start with a Lagrangian consisting only of the Ricci scalar (gravity) and the standard electromagnetic field Lagrangian, and consider additions other than point charges and their associated interaction Lagrangian. Including quadratic terms in the Lagrangian involving first-order derivatives of the electromagnetic field tensor provides sufficient stress-energy terms to allow for conservation of energy-momentum. There are three such independent terms: a direct current-current interaction and two curvature-mediated (non-minimally coupled), short-range interactions, one of which changes sign under a parity transformation. These could be interpreted as non-electromagnetic, short-range forces. For the simplest possible theory, with only the metric and the electromagnetic potential 1-form as independent fields, we find a single, stable, spherical (spin-0) solution, which due to an integrable singularity at the solution's center, has quantized mass and charge. Its charge is smaller than numeric error, and its mass is set by a new constant in the Lagrangian. It has a small, central core of charge surrounded by a wave of alternatingly charged, spherical shells, where the amplitude of the charge density wave is inversely proportional to the radial coordinate.
physics.class-ph
we study the classical electrodynamics of extended bodies currently there is no selfconsistent dynamical theory of such bodies in the literature electromagnetic energymomentum is not conserved in the presence of charge and some addition is required the only somewhat suitable addition found to date are point charges these suffer from infinite selfenergy requiring some renormalization procedure and perturbative methods to account for radiation we review the history that has led to the understanding of these facts we then investigate possible selfconsistent nonpointcharge classical electrodynamic theories we start with a lagrangian consisting only of the ricci scalar gravity and the standard electromagnetic field lagrangian and consider additions other than point charges and their associated interaction lagrangian including quadratic terms in the lagrangian involving firstorder derivatives of the electromagnetic field tensor provides sufficient stressenergy terms to allow for conservation of energymomentum there are three such independent terms a direct currentcurrent interaction and two curvaturemediated nonminimally coupled shortrange interactions one of which changes sign under a parity transformation these could be interpreted as nonelectromagnetic shortrange forces for the simplest possible theory with only the metric and the electromagnetic potential 1form as independent fields we find a single stable spherical spin0 solution which due to an integrable singularity at the solutions center has quantized mass and charge its charge is smaller than numeric error and its mass is set by a new constant in the lagrangian it has a small central core of charge surrounded by a wave of alternatingly charged spherical shells where the amplitude of the charge density wave is inversely proportional to the radial coordinate
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1,802.02142
Face Detection Using Improved Faster RCNN
Faster RCNN has achieved great success for generic object detection including PASCAL object detection and MS COCO object detection. In this report, we propose a detailed designed Faster RCNN method named FDNet1.0 for face detection. Several techniques were employed including multi-scale training, multi-scale testing, light-designed RCNN, some tricks for inference and a vote-based ensemble method. Our method achieves two 1th places and one 2nd place in three tasks over WIDER FACE validation dataset (easy set, medium set, hard set).
cs.CV
faster rcnn has achieved great success for generic object detection including pascal object detection and ms coco object detection in this report we propose a detailed designed faster rcnn method named fdnet10 for face detection several techniques were employed including multiscale training multiscale testing lightdesigned rcnn some tricks for inference and a votebased ensemble method our method achieves two 1th places and one 2nd place in three tasks over wider face validation dataset easy set medium set hard set
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1,802.02143
Tight Bounds on the Asymptotic Descriptive Complexity of Subgraph Isomorphism
Let $v(F)$ denote the number of vertices in a fixed connected pattern graph $F$. We show an infinite family of patterns $F$ such that the existence of a subgraph isomorphic to $F$ is expressible by a first-order sentence of quantifier depth $\frac23\,v(F)+1$, assuming that the host graph is sufficiently large and connected. On the other hand, this is impossible for any $F$ with using less than $\frac23\,v(F)-2$ first-order variables.
cs.CC cs.LO
let vf denote the number of vertices in a fixed connected pattern graph f we show an infinite family of patterns f such that the existence of a subgraph isomorphic to f is expressible by a firstorder sentence of quantifier depth frac23vf1 assuming that the host graph is sufficiently large and connected on the other hand this is impossible for any f with using less than frac23vf2 firstorder variables
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1,802.02144
Restoring size consistency of approximate functionals constructed from the adiabatic connection
Approximate exchange-correlation functionals built by modeling in a non-linear way the adiabatic connection (AC) integrand of density functional theory have many attractive features, being virtually parameters-free and satisfying different exact properties, but they also have a fundamental flaw: they violate the size-consistency condition, crucial to evaluate interaction energies of molecular systems. We show that size consistency in the AC-based functionals can be restored in a very simple way at no extra computational cost. Results on a large set of benchmark molecular interaction energies show that functionals based on the interaction strength interpolation approximations are significantly more accurate than the second-order perturbation theory.
physics.chem-ph
approximate exchangecorrelation functionals built by modeling in a nonlinear way the adiabatic connection ac integrand of density functional theory have many attractive features being virtually parametersfree and satisfying different exact properties but they also have a fundamental flaw they violate the sizeconsistency condition crucial to evaluate interaction energies of molecular systems we show that size consistency in the acbased functionals can be restored in a very simple way at no extra computational cost results on a large set of benchmark molecular interaction energies show that functionals based on the interaction strength interpolation approximations are significantly more accurate than the secondorder perturbation theory
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1,802.02145
Online energy discrimination at DAQ front-end level on pixelated TOF-PET systems
Pixelated PET systems produce higher count rates as they integrate several detecting channels per detector module. An increased data flow from the detectors posses higher needs on the bandwidth requirements. We aim to optimize the bandwidth usage efficiency by filtering on the fly the detected events with non valid energies. PET systems with a SiPM-ASIC readout scheme are being extensively used to get enhanced images on Time-Of-Flight PET scanners. These kind of digital readout systems are specially interesting for the application of on-line processing techniques given the ease of access to each detected event digital information. This study purses the analysis of on-line processing techniques on the DAQ front-end level (on-detector electronics) for pixelated PET systems with SiPM-ASIC readout. In particular, we worked with a tunable on-line energy discriminating stage. For the optimization of its hardwired internal limits we analyzed the system energy space. We explored different solutions dependent or not on the system's energy calibration. Results obtained through the different filter versions confirm the minimal resources consumption of such processing techniques implemented at DAQ front-end level. Our experiences showed how the filtering process reduces the bandwidth needs excluding from the data stream all non valid energy events and thus improving the system sensitivity under saturation conditions. Additionally, these experiments highlight how setting proper energy limits we ensure the preservation of the system performance, which maintains its original energy and time resolution. Under the light of these findings, we see a great potential on the application of on-line processing techniques for Time-Of-Flight PET at the DAQ font-end level (on-detector electronics) and so we envisaged more complex processing methods.
physics.ins-det physics.med-ph
pixelated pet systems produce higher count rates as they integrate several detecting channels per detector module an increased data flow from the detectors posses higher needs on the bandwidth requirements we aim to optimize the bandwidth usage efficiency by filtering on the fly the detected events with non valid energies pet systems with a sipmasic readout scheme are being extensively used to get enhanced images on timeofflight pet scanners these kind of digital readout systems are specially interesting for the application of online processing techniques given the ease of access to each detected event digital information this study purses the analysis of online processing techniques on the daq frontend level ondetector electronics for pixelated pet systems with sipmasic readout in particular we worked with a tunable online energy discriminating stage for the optimization of its hardwired internal limits we analyzed the system energy space we explored different solutions dependent or not on the systems energy calibration results obtained through the different filter versions confirm the minimal resources consumption of such processing techniques implemented at daq frontend level our experiences showed how the filtering process reduces the bandwidth needs excluding from the data stream all non valid energy events and thus improving the system sensitivity under saturation conditions additionally these experiments highlight how setting proper energy limits we ensure the preservation of the system performance which maintains its original energy and time resolution under the light of these findings we see a great potential on the application of online processing techniques for timeofflight pet at the daq fontend level ondetector electronics and so we envisaged more complex processing methods
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1,802.02146
On the irregularity of uniform hypergraphs
Let $H$ be an $r$-uniform hypergraph on $n$ vertices and $m$ edges, and let $d_i$ be the degree of $i\in V(H)$. Denote by $\varepsilon(H)$ the difference of the spectral radius of $H$ and the average degree of $H$. Also, denote \[ s(H)=\sum_{i\in V(H)}\left|d_i-\frac{rm}{n}\right|,~ v(H)=\frac{1}{n}\sum_{i\in V(H)}d_i^{\frac{r}{r-1}}-\left(\frac{rm}{n}\right)^{\frac{r}{r-1}}. \] In this paper, we investigate the irregularity of $r$-uniform hypergraph $H$ with respect to $\varepsilon(H)$, $s(H)$ and $v(H)$, which extend relevant results to uniform hypergraphs.
math.CO
let h be an runiform hypergraph on n vertices and m edges and let d_i be the degree of iin vh denote by varepsilonh the difference of the spectral radius of h and the average degree of h also denote shsum_iin vhleftd_ifracrmnright vhfrac1nsum_iin vhd_ifracrr1leftfracrmnrightfracrr1 in this paper we investigate the irregularity of runiform hypergraph h with respect to varepsilonh sh and vh which extend relevant results to uniform hypergraphs
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1,802.02147
DeepTravel: a Neural Network Based Travel Time Estimation Model with Auxiliary Supervision
Estimating the travel time of a path is of great importance to smart urban mobility. Existing approaches are either based on estimating the time cost of each road segment which are not able to capture many cross-segment complex factors, or designed heuristically in a non-learning-based way which fail to utilize the existing abundant temporal labels of the data, i.e., the time stamp of each trajectory point. In this paper, we leverage on new development of deep neural networks and propose a novel auxiliary supervision model, namely DeepTravel, that can automatically and effectively extract different features, as well as make full use of the temporal labels of the trajectory data. We have conducted comprehensive experiments on real datasets to demonstrate the out-performance of DeepTravel over existing approaches.
cs.LG cs.CV stat.ML
estimating the travel time of a path is of great importance to smart urban mobility existing approaches are either based on estimating the time cost of each road segment which are not able to capture many crosssegment complex factors or designed heuristically in a nonlearningbased way which fail to utilize the existing abundant temporal labels of the data ie the time stamp of each trajectory point in this paper we leverage on new development of deep neural networks and propose a novel auxiliary supervision model namely deeptravel that can automatically and effectively extract different features as well as make full use of the temporal labels of the trajectory data we have conducted comprehensive experiments on real datasets to demonstrate the outperformance of deeptravel over existing approaches
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1,802.02148
Updated estimate of the number of edges in induced subgraphs of a special distance graph
In this article, the author proposes a new approach for the estimating of the number of edges in induced subgraphs of a special distance graph. Author significantly improves previous estimates and suggests a new approach to obtaining better ones.
math.CO
in this article the author proposes a new approach for the estimating of the number of edges in induced subgraphs of a special distance graph author significantly improves previous estimates and suggests a new approach to obtaining better ones
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1,802.02149
Astrophysicists and physicists as creators of ArXiv-based commenting resources for their research communities. An initial survey
This paper conveys the outcomes of what results to be the first, though initial, overview of commenting platforms and related 2.0 resources born within and for the astrophysical community (from 2004 to 2016). Experiences were added, mainly in the physics domain, for a total of 22 major items, including four epijournals, and four supplementary resources, thus casting some light onto an unexpected richness and consonance of endeavours. These experiences rest almost entirely on the contents of the database ArXiv, which adds to its merits that of potentially setting the grounds for web 2.0 resources, and research behaviours, to be explored. Most of the experiences retrieved are UK and US based, but the resulting picture is international, as various European countries, China and Australia have been actively involved. Final remarks about creation patterns and outcome of these resources are outlined. The results integrate the previous studies according to which the web 2.0 is presently of limited use for communication in astrophysics and vouch for a role of researchers in the shaping of their own professional communication tools that is greater than expected. Collaterally, some aspects of ArXiv s recent pathway towards partial inclusion of web 2.0 features are touched upon. Further investigation is hoped for.
cs.DL astro-ph.IM
this paper conveys the outcomes of what results to be the first though initial overview of commenting platforms and related 20 resources born within and for the astrophysical community from 2004 to 2016 experiences were added mainly in the physics domain for a total of 22 major items including four epijournals and four supplementary resources thus casting some light onto an unexpected richness and consonance of endeavours these experiences rest almost entirely on the contents of the database arxiv which adds to its merits that of potentially setting the grounds for web 20 resources and research behaviours to be explored most of the experiences retrieved are uk and us based but the resulting picture is international as various european countries china and australia have been actively involved final remarks about creation patterns and outcome of these resources are outlined the results integrate the previous studies according to which the web 20 is presently of limited use for communication in astrophysics and vouch for a role of researchers in the shaping of their own professional communication tools that is greater than expected collaterally some aspects of arxiv s recent pathway towards partial inclusion of web 20 features are touched upon further investigation is hoped for
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1,802.0215
Metasurface Particle with Independent Transmission and Reflection Full Phase Coverage
A metasurface particle with independent transmission and reflection full phase coverage for circularly polarized waves is introduced. This particle is constituted of two parts, one controlling the power splitting and the reflection phase, and the other one controlling the transmission phase, both leveraging the Pancharatnam-Berry phase principle. Given its unique flexibility, this particle may find various applications in metasurface technology.
physics.app-ph
a metasurface particle with independent transmission and reflection full phase coverage for circularly polarized waves is introduced this particle is constituted of two parts one controlling the power splitting and the reflection phase and the other one controlling the transmission phase both leveraging the pancharatnamberry phase principle given its unique flexibility this particle may find various applications in metasurface technology
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1,802.02151
On the Missing Energy Puzzle of Tidal Disruption Events
For the majority of the tidal disruption event (TDE) candidates, the observed energy in the optical/near-UV bands is of order 10^{51} erg. We show that this observed energy is smaller than the minimum bolometric energy for the radiative inefficient accretion flow model by a factor of 10-100. We argue that this discrepancy is because the majority of the energy released is in the extreme-UV (EUV) band and/or in the form of relativistic jets beamed away from the Earth. The EUV scenario is supported by existing mid-infrared data and should be further tested by future dust reverberation observations. The jet scenario is disfavored by the radio observations of ASASSN-14li but may still be viable for other TDE candidates. We also provide evidence that, at least for some TDEs, most of the missing energy (in the EUV and/or in the form of jets) is released within a few times the orbital period of the most tightly bound material, which means (1) the circularization of the fallback stream may occur rapidly, and (2) the luminosity of the accretion flow or the jet power may not be capped near the Eddington level when the fallback rate is super-Eddington. For most other TDEs, this energy-release timescale is currently not strongly constrained.
astro-ph.HE
for the majority of the tidal disruption event tde candidates the observed energy in the opticalnearuv bands is of order 1051 erg we show that this observed energy is smaller than the minimum bolometric energy for the radiative inefficient accretion flow model by a factor of 10100 we argue that this discrepancy is because the majority of the energy released is in the extremeuv euv band andor in the form of relativistic jets beamed away from the earth the euv scenario is supported by existing midinfrared data and should be further tested by future dust reverberation observations the jet scenario is disfavored by the radio observations of asassn14li but may still be viable for other tde candidates we also provide evidence that at least for some tdes most of the missing energy in the euv andor in the form of jets is released within a few times the orbital period of the most tightly bound material which means 1 the circularization of the fallback stream may occur rapidly and 2 the luminosity of the accretion flow or the jet power may not be capped near the eddington level when the fallback rate is supereddington for most other tdes this energyrelease timescale is currently not strongly constrained
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1,802.02152
Blowing in the Milky Way wind: neutral hydrogen clouds tracing the Galactic nuclear outflow
We present the results of a new sensitive survey of neutral hydrogen above and below the Galactic Center with the Green Bank Telescope. The observations extend up to Galactic latitude | b | < 10 deg with an effective angular resolution of 9.5' and an average rms brightness temperature noise of 40 mK in a 1 km/s channel. The survey reveals the existence of a population of anomalous high-velocity clouds extending up to heights of about 1.5 kpc from the Galactic Plane and showing no signature of Galactic rotation. These clouds have local standard of rest velocities | Vlsr | < 360 km/s and, assuming a Galactic Center origin, they have sizes of a few tens of parsecs and neutral hydrogen masses spanning $10-10^5 \, M_\odot$. Accounting for selection effects, the cloud population is symmetric in longitude, latitude, and Vlsr. We model the cloud kinematics in terms of an outflow expanding from the Galactic Center and find the population consistent with being material moving with radial velocity Vw ~ 330 km/s distributed throughout a bi-cone with opening angle $\alpha>140$ deg. This simple model implies an outflow luminosity $Lw > 3 \times 10^{40}$ erg/s over the past 10 Myr, consistent with star formation feedback in the inner region of the Milky Way, with a cold gas mass-loss rate $\lesssim 0.1 \, M_\odot$/yr. These clouds may represent the cold gas component accelerated in the nuclear wind driven by our Galaxy, although some of the derived properties challenge current theoretical models of the entrainment process.
astro-ph.GA
we present the results of a new sensitive survey of neutral hydrogen above and below the galactic center with the green bank telescope the observations extend up to galactic latitude b 10 deg with an effective angular resolution of 95 and an average rms brightness temperature noise of 40 mk in a 1 kms channel the survey reveals the existence of a population of anomalous highvelocity clouds extending up to heights of about 15 kpc from the galactic plane and showing no signature of galactic rotation these clouds have local standard of rest velocities vlsr 360 kms and assuming a galactic center origin they have sizes of a few tens of parsecs and neutral hydrogen masses spanning 10105 m_odot accounting for selection effects the cloud population is symmetric in longitude latitude and vlsr we model the cloud kinematics in terms of an outflow expanding from the galactic center and find the population consistent with being material moving with radial velocity vw 330 kms distributed throughout a bicone with opening angle alpha140 deg this simple model implies an outflow luminosity lw 3 times 1040 ergs over the past 10 myr consistent with star formation feedback in the inner region of the milky way with a cold gas massloss rate lesssim 01 m_odotyr these clouds may represent the cold gas component accelerated in the nuclear wind driven by our galaxy although some of the derived properties challenge current theoretical models of the entrainment process
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1,802.02153
C-P-T anomaly matching in bosonic quantum field theory and spin chains
We consider the $O(3)$ nonlinear sigma model with the $\theta$-term and its linear counterpart in 1+1D. The model has discrete time-reflection and space-reflection symmetries at any $\theta$, and enjoys the periodicity in $\theta\rightarrow \theta+2\pi$. At $\theta=0,\pi$ it also has a charge-conjugation $C$-symmetry. Gauging the discrete space-time reflection symmetries is interpreted as putting the theory on the nonorientable $\mathbb RP^2$ manifold, after which the $2\pi$ periodicity of $\theta$ and the $C$ symmetry at $\theta=\pi$ are lost. We interpret this observation as a mixed 't Hooft anomaly among charge-conjugation $C$, parity $P$, and time-reversal $T$ symmetries when $\theta=\pi$. Anomaly matching implies that in this case the ground state cannot be trivially gapped, as long as $C$, $P$ and $T$ are all good symmetries of the theory. We make several consistency checks with various semi-classical regimes, and with the exactly solvable XYZ model. We interpret this anomaly as an anomaly of the corresponding spin-half chains with translational symmetry, parity and time reversal (but not involving the $SO(3)$-spin symmetry), requiring that the ground state is never trivially gapped, even if $SO(3)$ spin symmetry is explicitly and completely broken. We also consider generalizations to $\mathbb{C}P^{N-1}$ models and show that the $C$-$P$-$T$ anomaly exists for even $N$.
hep-th cond-mat.str-el hep-lat
we consider the o3 nonlinear sigma model with the thetaterm and its linear counterpart in 11d the model has discrete timereflection and spacereflection symmetries at any theta and enjoys the periodicity in thetarightarrow theta2pi at theta0pi it also has a chargeconjugation csymmetry gauging the discrete spacetime reflection symmetries is interpreted as putting the theory on the nonorientable mathbb rp2 manifold after which the 2pi periodicity of theta and the c symmetry at thetapi are lost we interpret this observation as a mixed t hooft anomaly among chargeconjugation c parity p and timereversal t symmetries when thetapi anomaly matching implies that in this case the ground state cannot be trivially gapped as long as c p and t are all good symmetries of the theory we make several consistency checks with various semiclassical regimes and with the exactly solvable xyz model we interpret this anomaly as an anomaly of the corresponding spinhalf chains with translational symmetry parity and time reversal but not involving the so3spin symmetry requiring that the ground state is never trivially gapped even if so3 spin symmetry is explicitly and completely broken we also consider generalizations to mathbbcpn1 models and show that the cpt anomaly exists for even n
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1,802.02154
Critical Percolation as a Framework to Analyze the Training of Deep Networks
In this paper we approach two relevant deep learning topics: i) tackling of graph structured input data and ii) a better understanding and analysis of deep networks and related learning algorithms. With this in mind we focus on the topological classification of reachability in a particular subset of planar graphs (Mazes). Doing so, we are able to model the topology of data while staying in Euclidean space, thus allowing its processing with standard CNN architectures. We suggest a suitable architecture for this problem and show that it can express a perfect solution to the classification task. The shape of the cost function around this solution is also derived and, remarkably, does not depend on the size of the maze in the large maze limit. Responsible for this behavior are rare events in the dataset which strongly regulate the shape of the cost function near this global minimum. We further identify an obstacle to learning in the form of poorly performing local minima in which the network chooses to ignore some of the inputs. We further support our claims with training experiments and numerical analysis of the cost function on networks with up to $128$ layers.
cond-mat.dis-nn cond-mat.stat-mech stat.ML
in this paper we approach two relevant deep learning topics i tackling of graph structured input data and ii a better understanding and analysis of deep networks and related learning algorithms with this in mind we focus on the topological classification of reachability in a particular subset of planar graphs mazes doing so we are able to model the topology of data while staying in euclidean space thus allowing its processing with standard cnn architectures we suggest a suitable architecture for this problem and show that it can express a perfect solution to the classification task the shape of the cost function around this solution is also derived and remarkably does not depend on the size of the maze in the large maze limit responsible for this behavior are rare events in the dataset which strongly regulate the shape of the cost function near this global minimum we further identify an obstacle to learning in the form of poorly performing local minima in which the network chooses to ignore some of the inputs we further support our claims with training experiments and numerical analysis of the cost function on networks with up to 128 layers
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1,802.02155
Building Symmetry Enriched Topological Phases from a Bipartite Lattice Construction and Anyon Condensation
We introduce a construction of symmetry-enriched topological orders on bipartite lattices in which two $\mathbb{Z}_2$ spin liquids defined on each sublattice are combined, and then anyons are condensed to reduce the topological order. By choosing different anyon condensate structures, one can vary the fractionalization pattern of the resulting spin liquid, some of which cannot be readily constructed from parton based approaches. We demonstrate the construction for $i$) a spin-1/2 honeycomb lattice where we construct a featureless state as well as intermediate states with topological order, $ii$) a nonsymmorphic lattice, and $iii$) lattices with magnetic translation symmetry. At last, we discuss constraints on non-chiral topological orders in a bosonic system under magnetic field.
cond-mat.str-el cond-mat.mes-hall
we introduce a construction of symmetryenriched topological orders on bipartite lattices in which two mathbbz_2 spin liquids defined on each sublattice are combined and then anyons are condensed to reduce the topological order by choosing different anyon condensate structures one can vary the fractionalization pattern of the resulting spin liquid some of which cannot be readily constructed from parton based approaches we demonstrate the construction for i a spin12 honeycomb lattice where we construct a featureless state as well as intermediate states with topological order ii a nonsymmorphic lattice and iii lattices with magnetic translation symmetry at last we discuss constraints on nonchiral topological orders in a bosonic system under magnetic field
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1,802.02156
Collider constraints on light pseudoscalars
We investigate the bounds on light pseudoscalars that arise from a variety of collider searches. Special attention is thereby devoted to the mass regions $[3, 5] \, {\rm GeV}$ and $[9,11] \, {\rm GeV}$, in which a meaningful theoretical description has to include estimates of non-perturbative effects such as the mixing of the pseudoscalar with QCD bound states. A compendium of formulas that allows to deal with the relevant corrections is provided. It should prove useful for the interpretation of future LHC searches for light CP-odd spin-0 states.
hep-ph hep-ex
we investigate the bounds on light pseudoscalars that arise from a variety of collider searches special attention is thereby devoted to the mass regions 3 5 rm gev and 911 rm gev in which a meaningful theoretical description has to include estimates of nonperturbative effects such as the mixing of the pseudoscalar with qcd bound states a compendium of formulas that allows to deal with the relevant corrections is provided it should prove useful for the interpretation of future lhc searches for light cpodd spin0 states
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1,802.02157
Magma ascent in planetesimals: control by grain size
Rocky planetesimals in the early solar system melted internally and evolved chemically due to radiogenic heating from Al-26. Here we quantify the parametric controls on magma genesis and transport using a coupled petrological and fluid mechanical model of reactive two-phase flow. We find the mean grain size of silicate minerals to be a key control on magma ascent. For grain sizes larger than $\approx$ 1 mm, melt segregation produces distinct radial structure and chemical stratification. This stratification is most pronounced for bodies formed at around 1 Myr after formation of Ca,Al-rich inclusions. These findings suggest a link between the time and orbital location of planetesimal formation and their subsequent structural and chemical evolution. According to our models, the evolution of partially molten planetesimal interiors falls into two categories. In the magma ocean scenario, the whole interior of a planetesimal experiences nearly complete melting, which would result in turbulent convection and core-mantle differentiation by the rainfall mechanism. In the magma sill scenario, segregating melts gradually deplete the deep interior of the radiogenic heat source. In this case, magma may form melt-rich layers beneath a cool and stable lid, while core formation would proceed by percolation. Our findings suggest that grain sizes prevalent during the internal heating stage governed magma ascent in planetesimals. Regardless of whether evolution progresses toward a magma ocean or magma sill structure, our models predict that temperature inversions due to rapid Al-26 redistribution are limited to bodies formed earlier than $\approx$ 1 Myr after CAIs. We find that if grain size was smaller than $\approx$ 1 mm during peak internal melting, only elevated solid-melt density contrasts (such as found for enstatite chondrite compositions) would allow substantial melt segregation to occur.
astro-ph.EP physics.geo-ph
rocky planetesimals in the early solar system melted internally and evolved chemically due to radiogenic heating from al26 here we quantify the parametric controls on magma genesis and transport using a coupled petrological and fluid mechanical model of reactive twophase flow we find the mean grain size of silicate minerals to be a key control on magma ascent for grain sizes larger than approx 1 mm melt segregation produces distinct radial structure and chemical stratification this stratification is most pronounced for bodies formed at around 1 myr after formation of caalrich inclusions these findings suggest a link between the time and orbital location of planetesimal formation and their subsequent structural and chemical evolution according to our models the evolution of partially molten planetesimal interiors falls into two categories in the magma ocean scenario the whole interior of a planetesimal experiences nearly complete melting which would result in turbulent convection and coremantle differentiation by the rainfall mechanism in the magma sill scenario segregating melts gradually deplete the deep interior of the radiogenic heat source in this case magma may form meltrich layers beneath a cool and stable lid while core formation would proceed by percolation our findings suggest that grain sizes prevalent during the internal heating stage governed magma ascent in planetesimals regardless of whether evolution progresses toward a magma ocean or magma sill structure our models predict that temperature inversions due to rapid al26 redistribution are limited to bodies formed earlier than approx 1 myr after cais we find that if grain size was smaller than approx 1 mm during peak internal melting only elevated solidmelt density contrasts such as found for enstatite chondrite compositions would allow substantial melt segregation to occur
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1,802.02158
The minimum error probability of quantum illumination
Quantum illumination is a technique for detecting the presence of a target in a noisy environment by means of a quantum probe. We prove that the two-mode squeezed vacuum state is the optimal probe for quantum illumination in the scenario of asymmetric discrimination, where the goal is to minimize the decay rate of the probability of a false positive with a given probability of a false negative. Quantum illumination with two-mode squeezed vacuum states offers a 6 dB advantage in the error probability exponent compared to illumination with coherent states. Whether more advanced quantum illumination strategies may offer further improvements had been a longstanding open question. Our fundamental result proves that nothing can be gained by considering more exotic quantum states, such as e.g. multi-mode entangled states. Our proof is based on a new fundamental entropic inequality for the noisy quantum Gaussian attenuators. We also prove that without access to a quantum memory, the optimal probes for quantum illumination are the coherent states.
quant-ph math-ph math.MP
quantum illumination is a technique for detecting the presence of a target in a noisy environment by means of a quantum probe we prove that the twomode squeezed vacuum state is the optimal probe for quantum illumination in the scenario of asymmetric discrimination where the goal is to minimize the decay rate of the probability of a false positive with a given probability of a false negative quantum illumination with twomode squeezed vacuum states offers a 6 db advantage in the error probability exponent compared to illumination with coherent states whether more advanced quantum illumination strategies may offer further improvements had been a longstanding open question our fundamental result proves that nothing can be gained by considering more exotic quantum states such as eg multimode entangled states our proof is based on a new fundamental entropic inequality for the noisy quantum gaussian attenuators we also prove that without access to a quantum memory the optimal probes for quantum illumination are the coherent states
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1,802.02159
Deformation of extremal black holes from stringy interactions
Black holes are a powerful setting for studying general relativity and theories beyond GR. However, analytical solutions for rotating black holes in beyond-GR theories are difficult to find because of the complexity of such theories. In this paper, we solve for the deformation to the near-horizon extremal Kerr metric due to two example string-inspired beyond-GR theories: Einstein-dilaton-Gauss-Bonnet, and dynamical Chern-Simons theory. We accomplish this by making use of the enhanced symmetry group of NHEK and the weak-coupling limit of EdGB and dCS. We find that the EdGB metric deformation has a curvature singularity, while the dCS metric is regular. From these solutions we compute orbital frequencies, horizon areas, and entropies. This sets the stage for analytically understanding the microscopic origin of black hole entropy in beyond-GR theories.
gr-qc hep-th
black holes are a powerful setting for studying general relativity and theories beyond gr however analytical solutions for rotating black holes in beyondgr theories are difficult to find because of the complexity of such theories in this paper we solve for the deformation to the nearhorizon extremal kerr metric due to two example stringinspired beyondgr theories einsteindilatongaussbonnet and dynamical chernsimons theory we accomplish this by making use of the enhanced symmetry group of nhek and the weakcoupling limit of edgb and dcs we find that the edgb metric deformation has a curvature singularity while the dcs metric is regular from these solutions we compute orbital frequencies horizon areas and entropies this sets the stage for analytically understanding the microscopic origin of black hole entropy in beyondgr theories
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