id float64 706 1.8k | title stringlengths 1 343 | abstract stringlengths 6 6.09k | categories stringlengths 5 125 | processed_abstract stringlengths 2 5.96k | tokenized_abstract stringlengths 8 8.74k | centroid stringlengths 2.1k 2.17k |
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712.2479 | Spinning superstrings at two loops: strong-coupling corrections to
dimensions of large-twist SYM operators | We consider folded spinning strings in AdS_5xS^5 (with one spin component S
in AdS_5 and J in S^5) corresponding to the Tr(D^S Z^J) operators in the sl(2)
sector of the N=4 SYM theory in the special scaling limit in which both the
string mass M ~ \sqrt \lambda \ln S and J are sent to infinity with their ratio
fixed. Expanding in the parameter \el= J/M we compute the 2-loop string sigma
model correction to the string energy and show that it agrees with the
expression proposed by Alday and Maldacena in arxiv:0708.0672. We suggest that
a resummation of the logarithmic \el^2 \ln^n \el terms is necessary in order to
establish an interpolation to the weakly coupled gauge theory results. In the
process, we set up a general framework for the calculation of higher loop
corrections to the energy of multi-spin string configurations. In particular,
we find that in addition to the direct 2-loop term in the string energy there
is a contribution from lower loop order due to a finite ``renormalization'' of
the relation between the parameters of the classical solution and the fixed
spins, i.e. the charges of the SO(2,4) x SO(6) symmetry.
| hep-th | we consider folded spinning strings in ads_5xs5 with one spin component s in ads_5 and j in s5 corresponding to the trds zj operators in the sl2 sector of the n4 sym theory in the special scaling limit in which both the string mass m sqrt lambda ln s and j are sent to infinity with their ratio fixed expanding in the parameter el jm we compute the 2loop string sigma model correction to the string energy and show that it agrees with the expression proposed by alday and maldacena in arxiv07080672 we suggest that a resummation of the logarithmic el2 lnn el terms is necessary in order to establish an interpolation to the weakly coupled gauge theory results in the process we set up a general framework for the calculation of higher loop corrections to the energy of multispin string configurations in particular we find that in addition to the direct 2loop term in the string energy there is a contribution from lower loop order due to a finite renormalization of the relation between the parameters of the classical solution and the fixed spins ie the charges of the so24 x so6 symmetry | [['we', 'consider', 'folded', 'spinning', 'strings', 'in', 'ads_5xs5', 'with', 'one', 'spin', 'component', 's', 'in', 'ads_5', 'and', 'j', 'in', 's5', 'corresponding', 'to', 'the', 'trds', 'zj', 'operators', 'in', 'the', 'sl2', 'sector', 'of', 'the', 'n4', 'sym', 'theory', 'in', 'the', 'special', 'scaling', 'limit', 'in', 'which', 'both', 'the', 'string', 'mass', 'm', 'sqrt', 'lambda', 'ln', 's', 'and', 'j', 'are', 'sent', 'to', 'infinity', 'with', 'their', 'ratio', 'fixed', 'expanding', 'in', 'the', 'parameter', 'el', 'jm', 'we', 'compute', 'the', '2loop', 'string', 'sigma', 'model', 'correction', 'to', 'the', 'string', 'energy', 'and', 'show', 'that', 'it', 'agrees', 'with', 'the', 'expression', 'proposed', 'by', 'alday', 'and', 'maldacena', 'in', 'arxiv07080672', 'we', 'suggest', 'that', 'a', 'resummation', 'of', 'the', 'logarithmic', 'el2', 'lnn', 'el', 'terms', 'is', 'necessary', 'in', 'order', 'to', 'establish', 'an', 'interpolation', 'to', 'the', 'weakly', 'coupled', 'gauge', 'theory', 'results', 'in', 'the', 'process', 'we', 'set', 'up', 'a', 'general', 'framework', 'for', 'the', 'calculation', 'of', 'higher', 'loop', 'corrections', 'to', 'the', 'energy', 'of', 'multispin', 'string', 'configurations', 'in', 'particular', 'we', 'find', 'that', 'in', 'addition', 'to', 'the', 'direct', '2loop', 'term', 'in', 'the', 'string', 'energy', 'there', 'is', 'a', 'contribution', 'from', 'lower', 'loop', 'order', 'due', 'to', 'a', 'finite', 'renormalization', 'of', 'the', 'relation', 'between', 'the', 'parameters', 'of', 'the', 'classical', 'solution', 'and', 'the', 'fixed', 'spins', 'ie', 'the', 'charges', 'of', 'the', 'so24', 'x', 'so6', 'symmetry']] | [-0.1412770325991137, 0.13894610048925873, -0.05483033048071045, 0.09168205536222648, -0.028039772349404933, -0.11825659504845507, 0.03616503368199977, 0.29672532449983097, -0.20103018188974556, -0.27058018463147426, 0.04782364540130209, -0.321479137293232, -0.10430796953265609, 0.12103646533042578, -0.033904849345930924, 0.03410092935326794, -0.011225346907722363, 0.0785566733370733, -0.09428385850838313, -0.24156695067607484, 0.2923451828940891, 0.04580604305510153, 0.2519866818591706, 0.0721372655132023, 0.09037809598849546, 0.02446199790333335, -0.012598299503403625, -0.008134395706858196, -0.15246474188857276, 0.10795262156427148, 0.23950005573319474, 0.04271841155596734, 0.13083426290013167, -0.40827033121544154, -0.14912601655115099, 0.0781208490204896, 0.14802781842562124, 0.11828968263482446, 0.027452461138594453, -0.22407883479033108, 0.09231427757261282, -0.21256975678321688, -0.15101641643408764, -0.05134178299596774, 0.06375428385202594, -0.05234843248337353, -0.2686215672410368, 0.07635865479929692, 0.05108513728832498, -0.02054296376381475, -0.018570154943923257, -0.07733658220983289, -0.061506337062769374, 0.08635014643255678, 0.1183118243914983, 0.11656236655797829, 0.06281045134784895, -0.1765236428871249, -0.11627593227144008, 0.3448654002934656, -0.11925074514460031, -0.21571980913077998, 0.13176075151730618, -0.18510205311449776, -0.15913101912860955, 0.09358588132556103, 0.09341270423861017, 0.13659005677482836, -0.11312140578433022, 0.2341118146520026, 0.001200749322294301, 0.15872629335478258, 0.09931124434830534, 0.02301144870534935, 0.1729507660469127, 0.09432583597942298, 0.0377022563672861, 0.1403592244343147, -0.053908117817608646, -0.1282677264749, -0.39340267963514425, -0.12720999874686098, -0.12516342333356315, 0.07846745039056505, -0.14922220374156245, -0.1557491400998105, 0.3397847775266134, 0.11378869587173106, 0.2250540510008179, 0.07162116374880789, 0.203039191287479, 0.150051812857641, 0.07663541360169533, 0.10543635030339805, 0.23005240613237563, 0.1579070472076458, 0.07233857826952259, -0.27822238940038657, -0.1034609309923618, 0.160409485547287] |
712.248 | Takacs' asymptotic theorem and its applications: A survey | The book of Lajos Tak\'acs \emph{Combinatorial Methods in the Theory of
Stochastic Processes} has been published in 1967. It discusses various problems
associated with $$ P_{k,i}=\mathrm{P}{\sup_{1\leq
n\leq\rho(i)}(N_n-n)<k-i},\leqno(*) $$ where $N_n=\nu_1+\nu_2...+\nu_n$ is a
sum of mutually independent, nonnegative integer and identically distributed
random variables, $\pi_j=\mathrm{P}\{\nu_k=j\}$, $j\geq0$, $\pi_0>0$, and
$\rho(i)$ is the smallest $n$ such that $N_n=n-i$, $i\geq1$. (If there is no
such $n$, then $\rho(i)=\infty$.)
(*) is a discrete generalization of the classic ruin probability, and its
value is represented as $P_{k,i}={Q_{k-i}}/{Q_k}$, where the sequence
$\{Q_k\}_{k\geq0}$ satisfies the recurrence relation of convolution type:
$Q_0\neq0$ and $Q_k=\sum_{j=0}^k\pi_jQ_{k-j+1}$.
Since 1967 there have been many papers related to applications of the
generalized classic ruin probability. The present survey concerns only with one
of the areas of application associated with asymptotic behavior of $Q_k$ as
$k\to\infty$. The theorem on asymptotic behavior of $Q_k$ as $k\to\infty$ and
further properties of that limiting sequence are given on pages 22-23 of the
aforementioned book by Tak\'acs. In the present survey we discuss applications
of Tak\'acs' asymptotic theorem and other related results in queueing theory,
telecommunication systems and dams. Many of the results presented in this
survey have appeared recently, and some of them are new. In addition, further
applications of Tak\'acs' theorem are discussed.
| math.PR math.CA | the book of lajos takacs emphcombinatorial methods in the theory of stochastic processes has been published in 1967 it discusses various problems associated with p_kimathrmpsup_1leq nleqrhoin_nnkileqno where n_nnu_1nu_2nu_n is a sum of mutually independent nonnegative integer and identically distributed random variables pi_jmathrmpnu_kj jgeq0 pi_00 and rhoi is the smallest n such that n_nni igeq1 if there is no such n then rhoiinfty is a discrete generalization of the classic ruin probability and its value is represented as p_kiq_kiq_k where the sequence q_k_kgeq0 satisfies the recurrence relation of convolution type q_0neq0 and q_ksum_j0kpi_jq_kj1 since 1967 there have been many papers related to applications of the generalized classic ruin probability the present survey concerns only with one of the areas of application associated with asymptotic behavior of q_k as ktoinfty the theorem on asymptotic behavior of q_k as ktoinfty and further properties of that limiting sequence are given on pages 2223 of the aforementioned book by takacs in the present survey we discuss applications of takacs asymptotic theorem and other related results in queueing theory telecommunication systems and dams many of the results presented in this survey have appeared recently and some of them are new in addition further applications of takacs theorem are discussed | [['the', 'book', 'of', 'lajos', 'takacs', 'emphcombinatorial', 'methods', 'in', 'the', 'theory', 'of', 'stochastic', 'processes', 'has', 'been', 'published', 'in', '1967', 'it', 'discusses', 'various', 'problems', 'associated', 'with', 'p_kimathrmpsup_1leq', 'nleqrhoin_nnkileqno', 'where', 'n_nnu_1nu_2nu_n', 'is', 'a', 'sum', 'of', 'mutually', 'independent', 'nonnegative', 'integer', 'and', 'identically', 'distributed', 'random', 'variables', 'pi_jmathrmpnu_kj', 'jgeq0', 'pi_00', 'and', 'rhoi', 'is', 'the', 'smallest', 'n', 'such', 'that', 'n_nni', 'igeq1', 'if', 'there', 'is', 'no', 'such', 'n', 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712.2481 | A Higher Order Non--Linear Differential Equation and a Generalization of
the Airy Function | In this paper a higher order non-linear differential equation is given and it
becomes a higher order Airy equation (in our terminology) under the Cole-Hopf
transformation.
For the even case a solution is explicitly constructed, which is a
generalization of the Airy function.
| math-ph math.MP quant-ph | in this paper a higher order nonlinear differential equation is given and it becomes a higher order airy equation in our terminology under the colehopf transformation for the even case a solution is explicitly constructed which is a generalization of the airy function | [['in', 'this', 'paper', 'a', 'higher', 'order', 'nonlinear', 'differential', 'equation', 'is', 'given', 'and', 'it', 'becomes', 'a', 'higher', 'order', 'airy', 'equation', 'in', 'our', 'terminology', 'under', 'the', 'colehopf', 'transformation', 'for', 'the', 'even', 'case', 'a', 'solution', 'is', 'explicitly', 'constructed', 'which', 'is', 'a', 'generalization', 'of', 'the', 'airy', 'function']] | [-0.10124620094592142, 0.03467921975480263, -0.11533446648959504, 0.09089034329016887, -0.1206085265635751, -0.09955231589806635, -0.055937566531843744, 0.2937955834664578, -0.2860476994063965, -0.22289009141020996, 0.11493607176749339, -0.29774055188131887, -0.2567850540197173, 0.16687342177989872, -0.04331176234192626, 0.07306528892801252, 0.006669375027508237, 0.06217882578629394, -0.1264020183481016, -0.2567393650668998, 0.3512795709376765, 0.024838878859787486, 0.27838118437157816, -0.0018378343435849042, 0.17611254877302535, -0.001372396975734033, 0.038470829988634866, -0.019366023423106865, -0.10648574387697979, 0.09974805930315322, 0.23513878210512704, 0.03258059983856456, 0.2949335474174383, -0.32319426696834175, -0.2133486170191751, 0.09051958296101453, 0.1288361531833923, 0.16317369105283516, -0.03310798849304055, -0.23551077849968055, 0.07071522930853588, -0.1748350673939946, -0.20963774545681338, -0.051908253843701166, 0.00685159008690091, 0.0020593818017216616, -0.34017033606421115, 0.0822982261728781, 0.13830307780136897, -0.04013404555904387, -0.05486529185111786, -0.010922129764113315, -0.006646518720054003, 0.016092738396553105, 0.0083330252023717, 0.07463586164725035, 0.00895982323387681, -0.17287185484391832, -0.02243746862730531, 0.42925122648824093, -0.06570021986289946, -0.33500173739915673, 0.08965273604316767, -0.15247191092389267, -0.09109445251957622, 0.14456321004518244, 0.10433541985531879, 0.1783666614616333, -0.17988266390856616, 0.10265556796383503, -0.053900514285318384, 0.13780413420740947, 0.13780231953620217, -0.04925730124895656, 0.08617310334256915, 0.17436111516990635, 0.10994804302923554, 0.1767942375655091, 0.034217971398733386, -0.11427957703207814, -0.3581354097614801, -0.20545357937902906, -0.1764362880223712, 0.09224424049864675, -0.09201746988401283, -0.15408119299384052, 0.41308347837522974, 0.09884073663243027, 0.14339555377617133, 0.06523663675423365, 0.2796687693010236, 0.32700216645905533, 0.03590550161031789, 0.039583585452461656, 0.14713421277701855, 0.15513305489493665, 0.161631582196542, -0.17968606824721317, 0.054552632611418184, 0.1380484217214723] |
712.2482 | Stationary solutions of driven fourth- and sixth-order Cahn-Hilliard
type equations | New types of stationary solutions of a one-dimensional driven sixth-order
Cahn-Hilliard type equation that arises as a model for epitaxially growing
nano-structures such as quantum dots, are derived by an extension of the method
of matched asymptotic expansions that retains exponentially small terms. This
method yields analytical expressions for far-field behavior as well as the
widths of the humps of these spatially non-monotone solutions in the limit of
small driving force strength which is the deposition rate in case of epitaxial
growth. These solutions extend the family of the monotone kink and antikink
solutions. The hump spacing is related to solutions of the Lambert $W$
function. Using phase space analysis for the corresponding fifth-order
dynamical system, we use a numerical technique that enables the efficient and
accurate tracking of the solution branches, where the asymptotic solutions are
used as initial input. Additionally, our approach is first demonstrated for the
related but simpler driven fourth-order Cahn-Hilliard equation, also known as
the convective Cahn-Hilliard equation.
| math-ph math.DS math.MP | new types of stationary solutions of a onedimensional driven sixthorder cahnhilliard type equation that arises as a model for epitaxially growing nanostructures such as quantum dots are derived by an extension of the method of matched asymptotic expansions that retains exponentially small terms this method yields analytical expressions for farfield behavior as well as the widths of the humps of these spatially nonmonotone solutions in the limit of small driving force strength which is the deposition rate in case of epitaxial growth these solutions extend the family of the monotone kink and antikink solutions the hump spacing is related to solutions of the lambert w function using phase space analysis for the corresponding fifthorder dynamical system we use a numerical technique that enables the efficient and accurate tracking of the solution branches where the asymptotic solutions are used as initial input additionally our approach is first demonstrated for the related but simpler driven fourthorder cahnhilliard equation also known as the convective cahnhilliard equation | [['new', 'types', 'of', 'stationary', 'solutions', 'of', 'a', 'onedimensional', 'driven', 'sixthorder', 'cahnhilliard', 'type', 'equation', 'that', 'arises', 'as', 'a', 'model', 'for', 'epitaxially', 'growing', 'nanostructures', 'such', 'as', 'quantum', 'dots', 'are', 'derived', 'by', 'an', 'extension', 'of', 'the', 'method', 'of', 'matched', 'asymptotic', 'expansions', 'that', 'retains', 'exponentially', 'small', 'terms', 'this', 'method', 'yields', 'analytical', 'expressions', 'for', 'farfield', 'behavior', 'as', 'well', 'as', 'the', 'widths', 'of', 'the', 'humps', 'of', 'these', 'spatially', 'nonmonotone', 'solutions', 'in', 'the', 'limit', 'of', 'small', 'driving', 'force', 'strength', 'which', 'is', 'the', 'deposition', 'rate', 'in', 'case', 'of', 'epitaxial', 'growth', 'these', 'solutions', 'extend', 'the', 'family', 'of', 'the', 'monotone', 'kink', 'and', 'antikink', 'solutions', 'the', 'hump', 'spacing', 'is', 'related', 'to', 'solutions', 'of', 'the', 'lambert', 'w', 'function', 'using', 'phase', 'space', 'analysis', 'for', 'the', 'corresponding', 'fifthorder', 'dynamical', 'system', 'we', 'use', 'a', 'numerical', 'technique', 'that', 'enables', 'the', 'efficient', 'and', 'accurate', 'tracking', 'of', 'the', 'solution', 'branches', 'where', 'the', 'asymptotic', 'solutions', 'are', 'used', 'as', 'initial', 'input', 'additionally', 'our', 'approach', 'is', 'first', 'demonstrated', 'for', 'the', 'related', 'but', 'simpler', 'driven', 'fourthorder', 'cahnhilliard', 'equation', 'also', 'known', 'as', 'the', 'convective', 'cahnhilliard', 'equation']] | [-0.12184974066541741, 0.07521818785942831, -0.06721663404187542, 0.05492968138370183, -0.059715200458407586, -0.144029687691917, 0.0066498367307262, 0.2991757368320025, -0.278340480890285, -0.2557234221760846, 0.11775985264299335, -0.28383792303159744, -0.16811531451330777, 0.23604312880918887, 0.0025150511439524, 0.11742045802344209, 0.04579704370138241, -0.021810729497975093, -0.052469687957739444, -0.18101076106969383, 0.33181603991089426, -0.01650263354013691, 0.2807842507569885, 0.007166952603250925, 0.10501814238795656, -0.04986305102031747, 0.018712551308013043, 0.009699674291597633, -0.18018036400194906, 0.08062977367937793, 0.21030601264160423, 0.03128558181889035, 0.25439866792204924, -0.40631527145696017, -0.21950993129263627, 0.042688049373154076, 0.23722129386843988, 0.1456684774234948, -0.075384647939697, -0.2580404692755132, 0.06741830081596079, -0.16291143793178484, -0.20652009755018755, -0.0939751231065877, 0.011147752949865135, 0.11221624836589901, -0.2972886961016324, 0.13669344778240522, 0.06420201572937394, -0.012087842129582277, -0.1326999920477485, -0.08906428967359721, -0.05327408839062862, 0.07822390190937037, 0.0775079219694895, 0.01194040431566765, 0.06751568981680585, -0.13194401995735985, -0.0783900020917609, 0.3569211828164568, -0.11006950982489218, -0.24046194977612675, 0.16759963400884778, -0.09962379464171141, -0.06428448591335602, 0.15959610223792997, 0.1481803265897317, 0.1887326026906722, -0.14991013995554595, 0.09377874032325723, -0.011217993912658443, 0.17036777968569145, 0.10882436599228189, 0.030219280232383978, 0.13015813649877722, 0.1888346818441445, 0.07215294886974652, 0.16671375396655747, -0.053154044944587295, -0.14351206686793386, -0.3252785615051634, -0.13198898973268744, -0.16940092967046094, 0.0399374881326478, -0.13403686596365627, -0.25118937904580835, 0.38743948875612183, 0.10763934383774462, 0.14326720677339044, 0.05376164355585594, 0.26096327669141484, 0.2038775323125951, 0.02246413037518005, 0.036743248607163416, 0.21828531436736415, 0.16210691810391295, 0.13518423956613188, -0.24794728635021834, 0.06356595120924108, 0.12580268761783014] |
712.2483 | Lie Group Action and Stability Analysis of Stationary Solutions for a
Free Boundary Problem Modelling Tumor Growth | In this paper we study asymptotic behavior of solutions for a
multidimensional free boundary problem modelling the growth of nonnecrotic
tumors. We first establish a general result for differential equations in
Banach spaces possessing a local Lie group action which maps a solution into
new solutions. We prove that a center manifold exists under certain assumptions
on the spectrum of the linearized operator without assuming that the space in
which the equation is defined is of either $D_A(\theta)$ or
$D_A(\theta,\infty)$ type. By using this general result and making delicate
analysis of the spectrum of the linearization of the stationary free boundary
problem, we prove that if the surface tension coefficient $\gamma$ is larger
than a threshold value $\gamma^\ast$ then the unique stationary solution is
asymptotically stable modulo translations, provided the constant $c$
representing the ratio between the nutrient diffusion time and the tumor-cell
doubling time is sufficiently small, whereas if $\gamma< \gamma^\ast$ then this
stationary solution is unstable.
| math.AP math.FA | in this paper we study asymptotic behavior of solutions for a multidimensional free boundary problem modelling the growth of nonnecrotic tumors we first establish a general result for differential equations in banach spaces possessing a local lie group action which maps a solution into new solutions we prove that a center manifold exists under certain assumptions on the spectrum of the linearized operator without assuming that the space in which the equation is defined is of either d_atheta or d_athetainfty type by using this general result and making delicate analysis of the spectrum of the linearization of the stationary free boundary problem we prove that if the surface tension coefficient gamma is larger than a threshold value gammaast then the unique stationary solution is asymptotically stable modulo translations provided the constant c representing the ratio between the nutrient diffusion time and the tumorcell doubling time is sufficiently small whereas if gamma gammaast then this stationary solution is unstable | [['in', 'this', 'paper', 'we', 'study', 'asymptotic', 'behavior', 'of', 'solutions', 'for', 'a', 'multidimensional', 'free', 'boundary', 'problem', 'modelling', 'the', 'growth', 'of', 'nonnecrotic', 'tumors', 'we', 'first', 'establish', 'a', 'general', 'result', 'for', 'differential', 'equations', 'in', 'banach', 'spaces', 'possessing', 'a', 'local', 'lie', 'group', 'action', 'which', 'maps', 'a', 'solution', 'into', 'new', 'solutions', 'we', 'prove', 'that', 'a', 'center', 'manifold', 'exists', 'under', 'certain', 'assumptions', 'on', 'the', 'spectrum', 'of', 'the', 'linearized', 'operator', 'without', 'assuming', 'that', 'the', 'space', 'in', 'which', 'the', 'equation', 'is', 'defined', 'is', 'of', 'either', 'd_atheta', 'or', 'd_athetainfty', 'type', 'by', 'using', 'this', 'general', 'result', 'and', 'making', 'delicate', 'analysis', 'of', 'the', 'spectrum', 'of', 'the', 'linearization', 'of', 'the', 'stationary', 'free', 'boundary', 'problem', 'we', 'prove', 'that', 'if', 'the', 'surface', 'tension', 'coefficient', 'gamma', 'is', 'larger', 'than', 'a', 'threshold', 'value', 'gammaast', 'then', 'the', 'unique', 'stationary', 'solution', 'is', 'asymptotically', 'stable', 'modulo', 'translations', 'provided', 'the', 'constant', 'c', 'representing', 'the', 'ratio', 'between', 'the', 'nutrient', 'diffusion', 'time', 'and', 'the', 'tumorcell', 'doubling', 'time', 'is', 'sufficiently', 'small', 'whereas', 'if', 'gamma', 'gammaast', 'then', 'this', 'stationary', 'solution', 'is', 'unstable']] | [-0.1485682587439735, 0.10761473296630768, -0.10127018380068964, 0.060478424020261774, -0.08031539100432589, -0.13424159451838463, 0.04071451597771938, 0.30174092058873464, -0.30409301281456025, -0.20242453406174338, 0.14215050580978936, -0.2612894596712243, -0.14496936747924455, 0.16421949753327475, -0.03934458113245426, 0.039717813575219724, 0.07426401143893599, 0.07589907866391925, -0.06158006777836671, -0.17793630460021836, 0.4006968267983006, -0.0074431622310751865, 0.2626986286272445, 0.029260678590470626, 0.12402869627600716, -0.023730607661268402, 0.018324922161897825, 0.02925534049263074, -0.18455437320174703, 0.0835783054721692, 0.20784202180352182, 0.08682671371967562, 0.27898946531837987, -0.3821446416599135, -0.19623576377428348, 0.16524372760566972, 0.12729558609576236, 0.07117684710500462, -0.04477131543399376, -0.25227553988055834, 0.132274517957722, -0.11049421836937508, -0.19269841678380487, -0.03740321277009864, 0.046863871662607116, -0.0015771108675718068, -0.311391601185765, 0.08791371044672786, 0.08386017101546449, 0.03143966079599434, -0.15701018851851264, -0.04938926553023198, -0.034535843710745535, 0.08628204181760309, 0.08301798652316775, 0.0315108192378595, 0.07576455614499507, -0.10090821464846451, -0.034633640305800066, 0.36791309579125336, -0.09358697547323837, -0.2704594369572137, 0.1421029646670626, -0.17107788498303103, -0.12879709702646058, 0.1475425742626671, 0.12461623078091971, 0.18117815928473588, -0.1290586973360229, 0.1673013856897371, -0.07134490184816382, 0.172418565717676, 0.10602353235646601, -0.034556490458518024, 0.11389778610356452, 0.14985381469370856, 0.15303673243390456, 0.12313778442180445, -0.02184972850635888, -0.08967182715686278, -0.3464667709544301, -0.17343796516858762, -0.13996681747582532, 0.12463720056168254, -0.13657666545102162, -0.2017256877828209, 0.3550095129788162, 0.05937101435246727, 0.17802187980362966, 0.09444777363190247, 0.24719280265196558, 0.1893674342802936, -0.0030037297153725257, 0.11437879655690443, 0.18914908644172454, 0.12146686764824535, 0.054920169035153045, -0.1985709337292299, 0.050971383640482544, 0.13415296038672808] |
712.2484 | Asymptotic Stability of the Stationary Solution for a Hyperbolic Free
Boundary Problem Modeling Tumor Growth | In this paper we study asymptotic behavior of solutions for a free boundary
problem modeling the growth of tumors containing two species of cells:
proliferating cells and quiescent cells. This tumor model was proposed by
Pettet et al in {\em Bull. Math. Biol.} (2001). By using a functional approach
and the $C_0$ semigroup theory, we prove that the unique stationary solution of
this model ensured by the work of Cui and Friedman ({\em Trans. Amer. Math.
Soc.}, 2003) is locally asymptotically stable in certain function spaces. Key
techniques used in the proof include an improvement of the linear estimate
obtained by the work of Chen et al ({\em Trans. Amer. Math. Soc.}, 2005), and a
similarity transformation.
| math.AP math.FA | in this paper we study asymptotic behavior of solutions for a free boundary problem modeling the growth of tumors containing two species of cells proliferating cells and quiescent cells this tumor model was proposed by pettet et al in em bull math biol 2001 by using a functional approach and the c_0 semigroup theory we prove that the unique stationary solution of this model ensured by the work of cui and friedman em trans amer math soc 2003 is locally asymptotically stable in certain function spaces key techniques used in the proof include an improvement of the linear estimate obtained by the work of chen et al em trans amer math soc 2005 and a similarity transformation | [['in', 'this', 'paper', 'we', 'study', 'asymptotic', 'behavior', 'of', 'solutions', 'for', 'a', 'free', 'boundary', 'problem', 'modeling', 'the', 'growth', 'of', 'tumors', 'containing', 'two', 'species', 'of', 'cells', 'proliferating', 'cells', 'and', 'quiescent', 'cells', 'this', 'tumor', 'model', 'was', 'proposed', 'by', 'pettet', 'et', 'al', 'in', 'em', 'bull', 'math', 'biol', '2001', 'by', 'using', 'a', 'functional', 'approach', 'and', 'the', 'c_0', 'semigroup', 'theory', 'we', 'prove', 'that', 'the', 'unique', 'stationary', 'solution', 'of', 'this', 'model', 'ensured', 'by', 'the', 'work', 'of', 'cui', 'and', 'friedman', 'em', 'trans', 'amer', 'math', 'soc', '2003', 'is', 'locally', 'asymptotically', 'stable', 'in', 'certain', 'function', 'spaces', 'key', 'techniques', 'used', 'in', 'the', 'proof', 'include', 'an', 'improvement', 'of', 'the', 'linear', 'estimate', 'obtained', 'by', 'the', 'work', 'of', 'chen', 'et', 'al', 'em', 'trans', 'amer', 'math', 'soc', '2005', 'and', 'a', 'similarity', 'transformation']] | [-0.048967096878312015, 0.03958548740034718, -0.03725331088383522, -0.012666095704530719, -0.030905856552196603, -0.08422799220164146, 0.09489117708892145, 0.30199803092019184, -0.21770710148848593, -0.32371884611724266, 0.06960603114717302, -0.24026377316853353, -0.2640725822767026, 0.15816590350105203, -0.18646709712679851, 0.05741324563157456, 0.03467012087363902, -0.11382035255143098, 0.020967010796021927, -0.3083283197905483, 0.24181457704479067, 0.08838813937799042, 0.3023643973122897, -0.015715259179505038, 0.10287852773386665, 0.04285110114543731, -0.08324191699523062, 0.010885207144571628, -0.2243512795703282, 0.14091035994151124, 0.24427678251382093, 0.10430602220906715, 0.32203019362199925, -0.38416586985715245, -0.22053572349651748, 0.08372361024295719, 0.06989769810200508, 0.06011885079426755, 0.01722353398759753, -0.31400959632070413, 0.08864251739026352, -0.17049982793255838, -0.1189148616415031, -0.05490278276004668, 0.12891116483811418, 0.020219556785064173, -0.3148752552665898, 0.14729083987596572, 0.17782018755980092, 0.09165174014673665, -0.09029970497920595, -0.10709443095477363, -0.07121642697441938, 0.036558043813846745, -0.00500246969649793, 0.05609685054514557, 0.058641967961789464, -0.06066064044214978, -0.161690953774739, 0.29200534115481225, -0.036324814162698796, -0.1624932225215538, 0.22355468307043716, -0.02652859752837183, -0.11369899748463248, 0.1005699784687624, 0.16615143816131328, 0.1515103706624359, -0.16235772825392156, 0.20881005693508056, -0.10189991648577892, 0.11609843205500009, 0.18298319765719875, -0.08886209777395787, 0.08561428537811072, 0.10439803688144632, 0.02183642005547881, 0.10123254698781489, -0.011858558669638145, -0.09058653439870827, -0.25216534139251273, -0.2232005949902894, -0.17802275422406544, 0.06455575805438425, -0.0275455014052568, -0.1712395809109098, 0.37950281569220384, 0.07948124611495336, 0.13591388621616401, 0.023158996654995555, 0.12075352423085735, 0.09713841855911345, -0.06119114242831309, 0.16910439188961454, 0.23684576428033702, 0.15994113160233045, 0.1348203031972436, -0.20704601095198524, 0.0201947693833439, 0.18201917527917902] |
712.2485 | Planckian Birth of the Quantum de Sitter Universe | We show that the quantum universe emerging from a nonperturbative, Lorentzian
sum-over-geometries can be described with high accuracy by a four-dimensional
de Sitter spacetime. By a scaling analysis involving Newton's constant, we
establish that the linear size of the quantum universes under study is in
between 17 and 28 Planck lengths. Somewhat surprisingly, the measured quantum
fluctuations around the de Sitter universe in this regime are to good
approximation still describable semiclassically. The numerical evidence
presented comes from a regularization of quantum gravity in terms of causal
dynamical triangulations.
| hep-th gr-qc hep-lat | we show that the quantum universe emerging from a nonperturbative lorentzian sumovergeometries can be described with high accuracy by a fourdimensional de sitter spacetime by a scaling analysis involving newtons constant we establish that the linear size of the quantum universes under study is in between 17 and 28 planck lengths somewhat surprisingly the measured quantum fluctuations around the de sitter universe in this regime are to good approximation still describable semiclassically the numerical evidence presented comes from a regularization of quantum gravity in terms of causal dynamical triangulations | [['we', 'show', 'that', 'the', 'quantum', 'universe', 'emerging', 'from', 'a', 'nonperturbative', 'lorentzian', 'sumovergeometries', 'can', 'be', 'described', 'with', 'high', 'accuracy', 'by', 'a', 'fourdimensional', 'de', 'sitter', 'spacetime', 'by', 'a', 'scaling', 'analysis', 'involving', 'newtons', 'constant', 'we', 'establish', 'that', 'the', 'linear', 'size', 'of', 'the', 'quantum', 'universes', 'under', 'study', 'is', 'in', 'between', '17', 'and', '28', 'planck', 'lengths', 'somewhat', 'surprisingly', 'the', 'measured', 'quantum', 'fluctuations', 'around', 'the', 'de', 'sitter', 'universe', 'in', 'this', 'regime', 'are', 'to', 'good', 'approximation', 'still', 'describable', 'semiclassically', 'the', 'numerical', 'evidence', 'presented', 'comes', 'from', 'a', 'regularization', 'of', 'quantum', 'gravity', 'in', 'terms', 'of', 'causal', 'dynamical', 'triangulations']] | [-0.14967590059280733, 0.18318606809374283, -0.15245846945750105, 0.12005807179428468, -0.02868749920956113, -0.12919907093667213, -0.0035881343064829707, 0.28142543137073517, -0.18961850983429362, -0.2804425797208255, 0.050881626212768344, -0.2646388273516839, -0.1526528626934371, 0.19571072272744708, -0.07103365028954366, 0.04486864416817711, 0.0044231073274700475, 0.011973450701175765, -0.07705463216486598, -0.24909650629640304, 0.31239346321936784, 0.09859370939243077, 0.2520754864778031, -0.0016552677347631702, 0.12174778259147635, -0.04290531047974417, -0.019418504163199526, 0.0978734220632098, -0.17947479453687265, 0.05885665868316375, 0.271646044056979, 0.07330081071069633, 0.22232425134544345, -0.3809056998870801, -0.22531403040259398, 0.06637262909630821, 0.16532817834840072, 0.18540153008970348, -0.060440102105282924, -0.31715645891116845, 0.07155126946533776, -0.13370679884048348, -0.14758098649326712, -0.08665527166290717, -0.028898111967877907, -0.09861176167032681, -0.1784455593971705, 0.1562328526845456, 0.015219076265070313, 0.035009364555166525, -0.050313502629499206, -0.039511144732717766, 0.03010909049771726, 0.05919593134471639, 0.054598639250881126, 0.04140530078703622, 0.11530988004630092, -0.11932756536671976, -0.14554638195444236, 0.39163186883723194, -0.12591910632512404, -0.1853541218972003, 0.14425954796818338, -0.20164749841205776, -0.11912348195222545, 0.09077301973328841, 0.08960406135354954, 0.10199669725261629, -0.12456560152879154, 0.20152306128023734, 0.010562918569617481, 0.16667722607962787, 0.12952991865511815, 0.05332192020300268, 0.258291384367939, 0.09279784654791001, 0.02259381874252788, 0.11678945434554903, 0.0021110708476044238, -0.19705466472078115, -0.3774687019811774, -0.1332933159587397, -0.19365456347374924, 0.14699477414912757, -0.22209087221083543, -0.20255785471156493, 0.30439777312461624, 0.09205088385020975, 0.19437449497424744, 0.06480520972399972, 0.23385036882775073, 0.09591397518207403, 0.009524838289838623, 0.11396717624632981, 0.29713410895783454, 0.12099973890739917, 0.10009132501065986, -0.26412001254754036, -0.033550476359034125, 0.08673776834356514] |
712.2486 | Entangling identical bosons in optical tweezers via exchange interaction | We first devise a scheme to perform a universal entangling gate via
controlled collisions between pairs of atomic qubits trapped with optical
tweezers. Second, we present a modification to this scheme to allow the
preparation of atomic Bell pairs via selective excitation, suitable for quantum
information processing applications that do not require universality. Both
these schemes are enabled by the inherent symmetries of identical composite
particles, as originally proposed by Hayes et al. Our scheme provides a
technique for producing weighted graph states, entangled resources for quantum
communication, and a promising approach to performing a "loophole free" Bell
test in a single laboratory.
| quant-ph | we first devise a scheme to perform a universal entangling gate via controlled collisions between pairs of atomic qubits trapped with optical tweezers second we present a modification to this scheme to allow the preparation of atomic bell pairs via selective excitation suitable for quantum information processing applications that do not require universality both these schemes are enabled by the inherent symmetries of identical composite particles as originally proposed by hayes et al our scheme provides a technique for producing weighted graph states entangled resources for quantum communication and a promising approach to performing a loophole free bell test in a single laboratory | [['we', 'first', 'devise', 'a', 'scheme', 'to', 'perform', 'a', 'universal', 'entangling', 'gate', 'via', 'controlled', 'collisions', 'between', 'pairs', 'of', 'atomic', 'qubits', 'trapped', 'with', 'optical', 'tweezers', 'second', 'we', 'present', 'a', 'modification', 'to', 'this', 'scheme', 'to', 'allow', 'the', 'preparation', 'of', 'atomic', 'bell', 'pairs', 'via', 'selective', 'excitation', 'suitable', 'for', 'quantum', 'information', 'processing', 'applications', 'that', 'do', 'not', 'require', 'universality', 'both', 'these', 'schemes', 'are', 'enabled', 'by', 'the', 'inherent', 'symmetries', 'of', 'identical', 'composite', 'particles', 'as', 'originally', 'proposed', 'by', 'hayes', 'et', 'al', 'our', 'scheme', 'provides', 'a', 'technique', 'for', 'producing', 'weighted', 'graph', 'states', 'entangled', 'resources', 'for', 'quantum', 'communication', 'and', 'a', 'promising', 'approach', 'to', 'performing', 'a', 'loophole', 'free', 'bell', 'test', 'in', 'a', 'single', 'laboratory']] | [-0.1280141373151389, 0.15376956774446282, -0.09282810800342631, 0.010838810653421233, -0.027448645322719244, -0.2574257974838386, 0.11643732772480009, 0.39037457653728214, -0.22440642032032557, -0.33388915259218144, -0.015881700184675458, -0.19398394326489526, -0.09083491271741471, 0.24719917695648352, -0.04303233924172638, 0.153190082816172, 0.07450700574611015, -0.07007178529708204, -0.038019232266555424, -0.25766496653855075, 0.2729859052596668, 0.08238136824627307, 0.33520716719003846, 0.03094949659177111, 0.12032124101753952, 0.05895531961685318, 0.008521274120989934, -0.024158151983057412, -0.09379690048066974, 0.17371256695353895, 0.26722485658902567, 0.11817813269540813, 0.27406397270201477, -0.43915124431487573, -0.21268084823624095, 0.11398047225965748, 0.12989961482286091, 0.20553981187274156, -0.09511574235370664, -0.3098144484503032, 0.02831665646212483, -0.1936508626778818, -0.08463561705096616, -0.15248513299727687, -0.02152833378720052, -0.008070472844885391, -0.31036706125020114, 0.0732358687566322, 0.04693105494947109, 0.049035847349797636, 0.0460738719608273, 0.020960057167860778, 0.06065969168461714, 0.08780817687963542, -0.13213778473436832, -0.016785319744229532, 0.13746876467598004, -0.06660045185962746, -0.22016107926633463, 0.3711569519731605, -0.02182065064394937, -0.19995055061954897, 0.20291235997314447, -0.04587863797312874, -0.12220202877018962, 0.08048145089623998, 0.13624001715164993, 0.1335973852603398, -0.14692426936755193, 0.022963168361174503, -0.03137715433009909, 0.1898283219785493, 0.08912161093892403, 0.11970807776053988, 0.18072130844828863, 0.10469693178763088, 0.06943886026568277, 0.17218731835629175, -0.06708375281581963, -0.08775572058602317, -0.3181898161199269, -0.2041261875979349, -0.24034085974675937, 0.043910915491050244, 0.006466759341792656, -0.11442040652940863, 0.347783610483868, 0.12223226874637264, 0.16969905544560657, -0.018566635871324146, 0.31440883834204336, 0.03456299071136898, 0.09125683815173298, 0.06278689941662607, 0.23789358272859193, 0.1347286133095622, 0.08470809062743939, -0.23522931937093267, 0.019610652792746725, 0.07751421280232376] |
712.2487 | Comment on Papers by Foot, Kobakhidze, McDonald and Volkas Relating to
Scale Invariance Symmetry | We point out that the works described by Foot et al. in arXiv:0706.1829
[hep-ph] and arXiv:0709.2750 [hep-ph] are derivatives of our work described in
arXiv:hep-th/0403039, the extended version of which was published in "Standard
Model and SU(5) GUT with Local Scale Invariance and the Weylon", AIP Conf.
Proc. 881 (2007) pp. 82, Melville, New York, 2006. We are wondering how many
motions (and publications!) they will go through before finally admitting that
they have re-discovered our model, and of course, as is the usual practice
these days, claiming afterwards to the world of their independent arrival at
our model. Reference to our original work is long overdue.
| hep-ph | we point out that the works described by foot et al in arxiv07061829 hepph and arxiv07092750 hepph are derivatives of our work described in arxivhepth0403039 the extended version of which was published in standard model and su5 gut with local scale invariance and the weylon aip conf proc 881 2007 pp 82 melville new york 2006 we are wondering how many motions and publications they will go through before finally admitting that they have rediscovered our model and of course as is the usual practice these days claiming afterwards to the world of their independent arrival at our model reference to our original work is long overdue | [['we', 'point', 'out', 'that', 'the', 'works', 'described', 'by', 'foot', 'et', 'al', 'in', 'arxiv07061829', 'hepph', 'and', 'arxiv07092750', 'hepph', 'are', 'derivatives', 'of', 'our', 'work', 'described', 'in', 'arxivhepth0403039', 'the', 'extended', 'version', 'of', 'which', 'was', 'published', 'in', 'standard', 'model', 'and', 'su5', 'gut', 'with', 'local', 'scale', 'invariance', 'and', 'the', 'weylon', 'aip', 'conf', 'proc', '881', '2007', 'pp', '82', 'melville', 'new', 'york', '2006', 'we', 'are', 'wondering', 'how', 'many', 'motions', 'and', 'publications', 'they', 'will', 'go', 'through', 'before', 'finally', 'admitting', 'that', 'they', 'have', 'rediscovered', 'our', 'model', 'and', 'of', 'course', 'as', 'is', 'the', 'usual', 'practice', 'these', 'days', 'claiming', 'afterwards', 'to', 'the', 'world', 'of', 'their', 'independent', 'arrival', 'at', 'our', 'model', 'reference', 'to', 'our', 'original', 'work', 'is', 'long', 'overdue']] | [-0.032850618363367036, 0.09135346327765057, -0.1097373306312455, 0.04636256379532055, -0.08814630116550969, -0.08897632976787953, 0.05997343380631019, 0.35179332936352764, -0.1855417342751305, -0.37518245787717974, 0.09581052100782891, -0.28732900904007974, -0.1538182041930178, 0.1677765516416492, -0.12604787172480988, 0.022556739483171932, 0.03521047233460614, -0.030898571533795733, -0.009806882404238703, -0.36743438265358025, 0.21486420241686013, 0.13060231207726666, 0.2509343997987274, 0.013407182440949747, 0.06495903693744018, 0.015022453534094473, -0.10448423038738278, -0.011979676774129845, -0.11894894544051428, 0.08657247114863892, 0.2318036512677701, 0.1205067525582378, 0.23529569176921192, -0.39341427255063677, -0.18250215041021314, 0.04397021105754762, 0.09422959630879071, 0.09852579226879662, 0.028870629789218165, -0.35247946098052824, 0.08215897235696992, -0.1897746108723088, -0.12226345184563588, -0.05902307046254954, 0.07301116843994421, 0.0014025764315962219, -0.209626378077351, 0.1119436943274475, 0.08116209317142001, 0.06182971209860765, -0.015054452890651122, -0.13672498791129328, -0.032825428079097316, 0.07322603601138465, 0.07139831447756688, 0.07208211813122034, 0.10206528704293305, -0.037616893268512704, -0.16111984514729835, 0.36985777870107156, -0.04674661023678849, -0.10644413971189912, 0.21229500795687692, -0.09271922148092507, -0.1799688332405192, 0.044747196131188854, 0.14554123814965492, 0.079293033853621, -0.15516395718217468, 0.12827599518039698, -0.09963873215544411, 0.10466622788142278, 0.12957178991144666, -0.06013442719771634, 0.15004723964151567, 0.1028469652133376, -0.04738402451095261, 0.017979247961193323, -0.06250622187732145, -0.1335237219402468, -0.33198710535473835, -0.12850483430240553, -0.13150281392154284, 0.0623751260953633, 0.0026315888441716265, -0.07302291367747014, 0.394567844314644, 0.18550610957810512, 0.1780756987785795, 0.038987541019406095, 0.20269169990206137, 0.05622711401016344, 0.040307680896568436, 0.12053134884291257, 0.281245979171497, 0.05390447442858623, 0.18844235514720473, -0.10133424889779864, -0.004257864343694214, 0.07198482329616897] |
712.2488 | Nearly tri-bimaximal mixing in the S_3 flavour symmetry | We present an analysis of the theoretical neutrino mixing matrix,
V_{PMNS}^{th}, previously derived in the framework of the minimal S_3-invariant
extension of the Standard Model. All entries in the neutrino mixing matrix,
V_{PMNS}^{th}, the mixing angles and the Majorana phases are given as exact,
explicit analytical functions of the mass ratios of the charged leptons and
neutrinos, and one Dirac phase, in excellent agreement with the the latest
experimental data. Here, it will be shown that all entries in V_{PMNS}^{th} are
numerically very close to the tri-bimaximal form of the neutrino mixing matrix,
so that V_{PMNS}^{th} may be written as V^{tri}+\Delta V_{PMNS}^{tri}. The
small correction \Delta V_{PMNS}^{tri} is expressed as a sum of two terms:
first, a small correction term proportional to m_{e}/m_{\mu} depending only on
the charged lepton mass ratios and, second, a Cabbibo-like, small term, \delta
t_{12}, which is a function of both the charged lepton and the neutrino mass
ratios.
| hep-ph | we present an analysis of the theoretical neutrino mixing matrix v_pmnsth previously derived in the framework of the minimal s_3invariant extension of the standard model all entries in the neutrino mixing matrix v_pmnsth the mixing angles and the majorana phases are given as exact explicit analytical functions of the mass ratios of the charged leptons and neutrinos and one dirac phase in excellent agreement with the the latest experimental data here it will be shown that all entries in v_pmnsth are numerically very close to the tribimaximal form of the neutrino mixing matrix so that v_pmnsth may be written as vtridelta v_pmnstri the small correction delta v_pmnstri is expressed as a sum of two terms first a small correction term proportional to m_em_mu depending only on the charged lepton mass ratios and second a cabbibolike small term delta t_12 which is a function of both the charged lepton and the neutrino mass ratios | [['we', 'present', 'an', 'analysis', 'of', 'the', 'theoretical', 'neutrino', 'mixing', 'matrix', 'v_pmnsth', 'previously', 'derived', 'in', 'the', 'framework', 'of', 'the', 'minimal', 's_3invariant', 'extension', 'of', 'the', 'standard', 'model', 'all', 'entries', 'in', 'the', 'neutrino', 'mixing', 'matrix', 'v_pmnsth', 'the', 'mixing', 'angles', 'and', 'the', 'majorana', 'phases', 'are', 'given', 'as', 'exact', 'explicit', 'analytical', 'functions', 'of', 'the', 'mass', 'ratios', 'of', 'the', 'charged', 'leptons', 'and', 'neutrinos', 'and', 'one', 'dirac', 'phase', 'in', 'excellent', 'agreement', 'with', 'the', 'the', 'latest', 'experimental', 'data', 'here', 'it', 'will', 'be', 'shown', 'that', 'all', 'entries', 'in', 'v_pmnsth', 'are', 'numerically', 'very', 'close', 'to', 'the', 'tribimaximal', 'form', 'of', 'the', 'neutrino', 'mixing', 'matrix', 'so', 'that', 'v_pmnsth', 'may', 'be', 'written', 'as', 'vtridelta', 'v_pmnstri', 'the', 'small', 'correction', 'delta', 'v_pmnstri', 'is', 'expressed', 'as', 'a', 'sum', 'of', 'two', 'terms', 'first', 'a', 'small', 'correction', 'term', 'proportional', 'to', 'm_em_mu', 'depending', 'only', 'on', 'the', 'charged', 'lepton', 'mass', 'ratios', 'and', 'second', 'a', 'cabbibolike', 'small', 'term', 'delta', 't_12', 'which', 'is', 'a', 'function', 'of', 'both', 'the', 'charged', 'lepton', 'and', 'the', 'neutrino', 'mass', 'ratios']] | [-0.11166986053412617, 0.2332869718053836, 0.019371347751893454, 0.1393264441035263, -0.012503543567074926, -0.13399698178990174, 0.038351086744938624, 0.292828297714434, -0.22365452040411882, -0.3001620105073956, 0.0717225276940071, -0.3084535932187116, -0.09072121036170214, 0.13150507654063404, 0.027762581030572546, 0.06116952901493583, 0.06449984131387167, 0.01784749304713219, -0.1431425173216868, -0.20136391600256398, 0.2761770344976861, 0.056905508297651806, 0.20557438567493286, 0.07452463897120133, 0.09029214305181256, -0.07171257725298005, -0.03385377181506397, -0.054511030417110695, -0.08636798207453161, 0.03345748253210429, 0.17102730097936703, 0.08277238945354826, 0.09844515876431993, -0.3707337685604423, -0.10071476095046648, 0.15332611882121572, 0.16794599049987158, 0.07707345111517473, -0.07582112874651341, -0.2700662817055947, 0.07033322707612392, -0.23681775531762797, -0.12398907497225192, -0.053887493744330016, -0.011599951995624191, -0.02073614589319933, -0.35201249941683455, 0.09611932658152843, -0.036801824668084814, -0.03604573962566186, -0.010962595645144532, -0.22881904667580888, -0.019420918230367387, 0.11386391968035058, 0.15357113941088193, 0.004759958754574893, 0.06843495455526766, -0.12135433793167939, -0.05335274931268404, 0.4171653227820436, -0.11629252314517562, -0.23634947838274226, 0.09231981401012948, -0.17966908528151118, -0.11108415109736708, 0.11996046349487499, 0.1409371109763723, 0.09930643747129396, -0.1861976993726504, 0.11116075367102675, -0.13662510395250063, 0.1550942456612251, 0.04661158040390919, 0.025062883938004453, 0.22308392656479506, 0.15142184288409732, 0.044700498489550496, 0.0015150161238149708, -0.08226036428373883, -0.06223627360656407, -0.3739082081143388, -0.13642359538325702, -0.17102867718192205, 0.056319283841071564, -0.13336141364312584, -0.16810750605709596, 0.4224622565424757, 0.09210096711555384, 0.2355497619855974, 0.05634236875093298, 0.29443331250308347, 0.12869103021512274, 0.08032502617761993, 0.02668333316421849, 0.29045856312611107, 0.18088779749892553, 0.09681179938562864, -0.24809552298334503, 0.07000974196340613, 0.08919771598814517] |
712.2489 | Habitable Planet Formation in Extreme Planetary Systems: Systems with
Multiple Stars and/or Multiple Planets | Understanding the formation and dynamical evolution of habitable planets in
extrasolar planetary systems is a challenging task. In this respect, systems
with multiple giant planets and/or multiple stars present special
complications. The formation of habitable planets in these environments is
strongly affected by the dynamics of their giant planets and/or their stellar
companions. These objects have profound effects on the structure of the disk of
planetesimals and protoplanetary objects in which terrestrial-class planets are
formed. To what extent the current theories of planet formation can be applied
to such "extreme" planetary systems depends on the dynamical characteristics of
their planets and/or their binary stars. In this paper, I present the results
of a study of the possibility of the existence of Earth-like objects in systems
with multiple giant planets (namely Upsilon Andromedae, 47 UMa, GJ 876, and 55
Cnc) and discuss the dynamics of the newly discovered Neptune-size object in 55
Cnc system. I will also review habitable planet formation in binary systems and
present the results of a systematic search of the parameter-space for which
Earth-like objects can form and maintain long-term stable orbits in the
habitable zones of binary stars.
| astro-ph | understanding the formation and dynamical evolution of habitable planets in extrasolar planetary systems is a challenging task in this respect systems with multiple giant planets andor multiple stars present special complications the formation of habitable planets in these environments is strongly affected by the dynamics of their giant planets andor their stellar companions these objects have profound effects on the structure of the disk of planetesimals and protoplanetary objects in which terrestrialclass planets are formed to what extent the current theories of planet formation can be applied to such extreme planetary systems depends on the dynamical characteristics of their planets andor their binary stars in this paper i present the results of a study of the possibility of the existence of earthlike objects in systems with multiple giant planets namely upsilon andromedae 47 uma gj 876 and 55 cnc and discuss the dynamics of the newly discovered neptunesize object in 55 cnc system i will also review habitable planet formation in binary systems and present the results of a systematic search of the parameterspace for which earthlike objects can form and maintain longterm stable orbits in the habitable zones of binary stars | [['understanding', 'the', 'formation', 'and', 'dynamical', 'evolution', 'of', 'habitable', 'planets', 'in', 'extrasolar', 'planetary', 'systems', 'is', 'a', 'challenging', 'task', 'in', 'this', 'respect', 'systems', 'with', 'multiple', 'giant', 'planets', 'andor', 'multiple', 'stars', 'present', 'special', 'complications', 'the', 'formation', 'of', 'habitable', 'planets', 'in', 'these', 'environments', 'is', 'strongly', 'affected', 'by', 'the', 'dynamics', 'of', 'their', 'giant', 'planets', 'andor', 'their', 'stellar', 'companions', 'these', 'objects', 'have', 'profound', 'effects', 'on', 'the', 'structure', 'of', 'the', 'disk', 'of', 'planetesimals', 'and', 'protoplanetary', 'objects', 'in', 'which', 'terrestrialclass', 'planets', 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712.249 | The standard fair sampling assumption is not necessary to test local
realism | Almost all Bell-inequality experiments to date have used postselection, and
therefore relied on the fair sampling assumption for their interpretation. The
standard form of the fair sampling assumption is that the loss is independent
of the measurement settings, so the ensemble of detected systems provides a
fair statistical sample of the total ensemble. This is often assumed to be
needed to interpret Bell inequality experiments as ruling out hidden-variable
theories. Here we show that it is not necessary; the loss can depend on
measurement settings, provided the detection efficiency factorises as a
function of the measurement settings and any hidden variable. This condition
implies that Tsirelson's bound must be satisfied for entangled states. On the
other hand, we show that it is possible for Tsirelson's bound to be violated
while the CHSH-Bell inequality still holds for unentangled states, and present
an experimentally feasible example.
| quant-ph | almost all bellinequality experiments to date have used postselection and therefore relied on the fair sampling assumption for their interpretation the standard form of the fair sampling assumption is that the loss is independent of the measurement settings so the ensemble of detected systems provides a fair statistical sample of the total ensemble this is often assumed to be needed to interpret bell inequality experiments as ruling out hiddenvariable theories here we show that it is not necessary the loss can depend on measurement settings provided the detection efficiency factorises as a function of the measurement settings and any hidden variable this condition implies that tsirelsons bound must be satisfied for entangled states on the other hand we show that it is possible for tsirelsons bound to be violated while the chshbell inequality still holds for unentangled states and present an experimentally feasible example | [['almost', 'all', 'bellinequality', 'experiments', 'to', 'date', 'have', 'used', 'postselection', 'and', 'therefore', 'relied', 'on', 'the', 'fair', 'sampling', 'assumption', 'for', 'their', 'interpretation', 'the', 'standard', 'form', 'of', 'the', 'fair', 'sampling', 'assumption', 'is', 'that', 'the', 'loss', 'is', 'independent', 'of', 'the', 'measurement', 'settings', 'so', 'the', 'ensemble', 'of', 'detected', 'systems', 'provides', 'a', 'fair', 'statistical', 'sample', 'of', 'the', 'total', 'ensemble', 'this', 'is', 'often', 'assumed', 'to', 'be', 'needed', 'to', 'interpret', 'bell', 'inequality', 'experiments', 'as', 'ruling', 'out', 'hiddenvariable', 'theories', 'here', 'we', 'show', 'that', 'it', 'is', 'not', 'necessary', 'the', 'loss', 'can', 'depend', 'on', 'measurement', 'settings', 'provided', 'the', 'detection', 'efficiency', 'factorises', 'as', 'a', 'function', 'of', 'the', 'measurement', 'settings', 'and', 'any', 'hidden', 'variable', 'this', 'condition', 'implies', 'that', 'tsirelsons', 'bound', 'must', 'be', 'satisfied', 'for', 'entangled', 'states', 'on', 'the', 'other', 'hand', 'we', 'show', 'that', 'it', 'is', 'possible', 'for', 'tsirelsons', 'bound', 'to', 'be', 'violated', 'while', 'the', 'chshbell', 'inequality', 'still', 'holds', 'for', 'unentangled', 'states', 'and', 'present', 'an', 'experimentally', 'feasible', 'example']] | [-0.10456515928833848, 0.12266541537337616, -0.1344370519121488, 0.11448750697551684, -0.06226397608730218, -0.1998239046208457, 0.08685222181116438, 0.3683756980462931, -0.23216956114118956, -0.310228143275405, 0.10779122089863652, -0.2450133373365841, -0.0753967455336048, 0.21828237228328362, -0.06920368139657916, 0.09915806081456442, 0.11005636851930628, 0.04502134977863332, -0.02936413480791897, -0.2923389832980724, 0.300757485610019, 0.07387282750601622, 0.3057273033078268, 0.07522090851691449, 0.10259187346350195, 0.018288789566011272, 0.017534862311246496, 0.01516029277667662, -0.09989764111883738, 0.08511750610260707, 0.24335667514242232, 0.21597877192223475, 0.24731403730240548, -0.3811602353798157, -0.1922866930059778, 0.19039559955126606, 0.12143751202367842, 0.10798745517159761, -0.01964117383370952, -0.2591468659666134, 0.048759201007972784, -0.12913886397857116, -0.10808881845473985, -0.11553640798794934, -0.013267014634847227, -0.03664813138675527, -0.33602639992993016, 0.12408633890865733, 0.09010191285051405, 0.0026449074955760604, -0.009386833663383085, -0.0903101208411196, 0.02829840317523728, 0.0912464158415484, 0.0085020069535757, -0.001048470300803375, 0.12854034371169595, -0.09499804189868478, -0.13827852796465676, 0.356898588891555, -0.017540112475722305, -0.23323660041205585, 0.1780263986115137, -0.13969193638897398, -0.17090571441480684, 0.04080214854265149, 0.09801664856624687, 0.1262414769929213, -0.14254996323547353, 0.0328633133188608, -0.11956631542286938, 0.20875732627205756, 0.06450452575356597, 0.09966716938652098, 0.15093772737600375, 0.10865163394272612, 0.12989017764064353, 0.11981655328216018, -0.04348842995144272, -0.09157167075358706, -0.359210157608484, -0.17951776798468522, -0.2604402762056755, 0.09446267333189301, -0.03330829540179062, -0.105650937753833, 0.2880611920182774, 0.16984271447937418, 0.16992933344994932, 0.05513439960163345, 0.2689824367019658, 0.12771337085319423, 0.0785554107391767, 0.05309785910099486, 0.31291339319432154, 0.10975861364891494, 0.027351719817185465, -0.1739673159544408, 0.1562854622962833, -0.02062732701112206] |
712.2491 | Co-occurrence Network of Reuters News | Networks describe various complex natural systems including social systems.
We investigate the social network of co-occurrence in Reuters-21578 corpus,
which consists of news articles that appeared in the Reuters newswire in 1987.
People are represented as vertices and two persons are connected if they
co-occur in the same article. The network has small-world features with
power-law degree distribution. The network is disconnected and the component
size distribution has power law characteristics. Community detection on a
degree-reduced network provides meaningful communities. An edge-reduced
network, which contains only the strong ties has a star topology.
"Importance" of persons are investigated. The network is the situation in
1987. After 20 years, a better judgment on the importance of the people can be
done. A number of ranking algorithms, including Citation count, PageRank, are
used to assign ranks to vertices. The ranks given by the algorithms are
compared against how well a person is represented in Wikipedia. We find up to
medium level Spearman's rank correlations. A noteworthy finding is that
PageRank consistently performed worse than the other algorithms. We analyze
this further and find reasons.
| physics.soc-ph | networks describe various complex natural systems including social systems we investigate the social network of cooccurrence in reuters21578 corpus which consists of news articles that appeared in the reuters newswire in 1987 people are represented as vertices and two persons are connected if they cooccur in the same article the network has smallworld features with powerlaw degree distribution the network is disconnected and the component size distribution has power law characteristics community detection on a degreereduced network provides meaningful communities an edgereduced network which contains only the strong ties has a star topology importance of persons are investigated the network is the situation in 1987 after 20 years a better judgment on the importance of the people can be done a number of ranking algorithms including citation count pagerank are used to assign ranks to vertices the ranks given by the algorithms are compared against how well a person is represented in wikipedia we find up to medium level spearmans rank correlations a noteworthy finding is that pagerank consistently performed worse than the other algorithms we analyze this further and find reasons | [['networks', 'describe', 'various', 'complex', 'natural', 'systems', 'including', 'social', 'systems', 'we', 'investigate', 'the', 'social', 'network', 'of', 'cooccurrence', 'in', 'reuters21578', 'corpus', 'which', 'consists', 'of', 'news', 'articles', 'that', 'appeared', 'in', 'the', 'reuters', 'newswire', 'in', '1987', 'people', 'are', 'represented', 'as', 'vertices', 'and', 'two', 'persons', 'are', 'connected', 'if', 'they', 'cooccur', 'in', 'the', 'same', 'article', 'the', 'network', 'has', 'smallworld', 'features', 'with', 'powerlaw', 'degree', 'distribution', 'the', 'network', 'is', 'disconnected', 'and', 'the', 'component', 'size', 'distribution', 'has', 'power', 'law', 'characteristics', 'community', 'detection', 'on', 'a', 'degreereduced', 'network', 'provides', 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712.2492 | ASTROD and ASTROD I -- Overview and Progress | In this paper, we present an overview of ASTROD (Astrodynamical Space Test of
Relativity using Optical Devices) and ASTROD I mission concepts and studies.
The missions employ deep-space laser ranging using drag-free spacecraft to map
the gravitational field in the solar-system. The solar-system gravitational
field is determined by three factors: the dynamic distribution of matter in the
solar system; the dynamic distribution of matter outside the solar system
(galactic, cosmological, etc.) and gravitational waves propagating through the
solar system. Different relativistic theories of gravity make different
predictions of the solar-system gravitational field. Hence, precise
measurements of the solar-system gravitational field test all these. The tests
and observations include: (i) a precise determination of the relativistic
parameters beta and gamma with 3-5 orders of magnitude improvement over
previous measurements; (ii) a 1-2 order of magnitude improvement in the
measurement of G-dot; (iii) a precise determination of any anomalous, constant
acceleration Aa directed towards the Sun; (iv) a measurement of solar angular
momentum via the Lense-Thirring effect; (v) the detection of solar g-mode
oscillations via their changing gravity field, thus, providing a new eye to see
inside the Sun; (vi) precise determination of the planetary orbit elements and
masses; (viii) better determination of the orbits and masses of major
asteroids; (ix) detection and observation of gravitational waves from massive
black holes and galactic binary stars in the frequency range 0.05 mHz to 5 mHz;
and (x) exploring background gravitational-waves.
| astro-ph gr-qc hep-ph hep-th | in this paper we present an overview of astrod astrodynamical space test of relativity using optical devices and astrod i mission concepts and studies the missions employ deepspace laser ranging using dragfree spacecraft to map the gravitational field in the solarsystem the solarsystem gravitational field is determined by three factors the dynamic distribution of matter in the solar system the dynamic distribution of matter outside the solar system galactic cosmological etc and gravitational waves propagating through the solar system different relativistic theories of gravity make different predictions of the solarsystem gravitational field hence precise measurements of the solarsystem gravitational field test all these the tests and observations include i a precise determination of the relativistic parameters beta and gamma with 35 orders of magnitude improvement over previous measurements ii a 12 order of magnitude improvement in the measurement of gdot iii a precise determination of any anomalous constant acceleration aa directed towards the sun iv a measurement of solar angular momentum via the lensethirring effect v the detection of solar gmode oscillations via their changing gravity field thus providing a new eye to see inside the sun vi precise determination of the planetary orbit elements and masses viii better determination of the orbits and masses of major asteroids ix detection and observation of gravitational waves from massive black holes and galactic binary stars in the frequency range 005 mhz to 5 mhz and x exploring background gravitationalwaves | [['in', 'this', 'paper', 'we', 'present', 'an', 'overview', 'of', 'astrod', 'astrodynamical', 'space', 'test', 'of', 'relativity', 'using', 'optical', 'devices', 'and', 'astrod', 'i', 'mission', 'concepts', 'and', 'studies', 'the', 'missions', 'employ', 'deepspace', 'laser', 'ranging', 'using', 'dragfree', 'spacecraft', 'to', 'map', 'the', 'gravitational', 'field', 'in', 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712.2493 | Evaluation of the Permutational Structure of the Canonical Ensemble
Partition Function | Proposed is an alternative method for permutational sampling in quantum gases
using the path integral formulation of statistical mechanics. It is shown that
in principle we are able to use two operators which enable us to construct a
Markov chain through a graph of the irreducible representation of the symmetric
group. As an illustration of this method, a test calculation of four particles
in a harmonic trap is performed.
| cond-mat.stat-mech | proposed is an alternative method for permutational sampling in quantum gases using the path integral formulation of statistical mechanics it is shown that in principle we are able to use two operators which enable us to construct a markov chain through a graph of the irreducible representation of the symmetric group as an illustration of this method a test calculation of four particles in a harmonic trap is performed | [['proposed', 'is', 'an', 'alternative', 'method', 'for', 'permutational', 'sampling', 'in', 'quantum', 'gases', 'using', 'the', 'path', 'integral', 'formulation', 'of', 'statistical', 'mechanics', 'it', 'is', 'shown', 'that', 'in', 'principle', 'we', 'are', 'able', 'to', 'use', 'two', 'operators', 'which', 'enable', 'us', 'to', 'construct', 'a', 'markov', 'chain', 'through', 'a', 'graph', 'of', 'the', 'irreducible', 'representation', 'of', 'the', 'symmetric', 'group', 'as', 'an', 'illustration', 'of', 'this', 'method', 'a', 'test', 'calculation', 'of', 'four', 'particles', 'in', 'a', 'harmonic', 'trap', 'is', 'performed']] | [-0.06689553450543326, 0.10040378268593855, -0.1743565538385208, 0.05142593225531712, -0.055295481201450246, -0.12346203224328549, 0.01542092627926689, 0.40794131653788296, -0.2531718368628535, -0.25237640455041244, 0.08297424362061302, -0.23266606405377388, -0.1634400356290997, 0.21846158755268308, -0.027591603862094707, 0.07143432718526194, 0.0724522313086208, 0.07982472184559573, -0.053047064904366496, -0.20504542524070965, 0.2831707817664289, 0.044720923344172755, 0.2654497230938379, 0.019848828048755724, 0.17587590050222218, 0.039554177014076194, -0.017895376188275608, -0.002587561347130416, -0.09385537859982476, 0.1622309636567598, 0.2492049269857344, 0.09836096269335004, 0.2618686023397722, -0.4048408107103213, -0.18800287225378165, 0.15143909185206977, 0.13720700256121549, 0.14266445095468636, -0.03570868073544209, -0.2713718124921771, 0.024847707852883184, -0.23848288293010084, -0.1526542174346421, -0.12191971343523567, -0.01990507510693177, -0.025333476333838444, -0.30351339427727286, 0.010472720536146906, 0.06303910152527734, 0.05933187402568865, -0.03032698711056424, -0.04706683764369159, 0.054916907992699875, 0.09608098334106414, -0.009701408253496756, 0.009013281419765259, 0.09802183516296571, -0.05290812709827678, -0.17293885016840868, 0.40529913282480795, -0.0686733020145608, -0.2724446484387137, 0.17181949548261322, -0.08467192482878116, -0.16914721697136975, 0.12503138828374769, 0.14361615389909432, 0.14636358394678953, -0.1953551460030502, 0.0869830926016405, -0.07529609821790802, 0.11974818543767206, 0.013577689072522133, -0.023915057694809377, 0.16556778339219053, 0.15473713297936795, 0.09127398121400156, 0.19297970830044453, -0.06630715044161332, -0.12489506065089634, -0.3112526165618413, -0.2406225915512313, -0.240655447140444, 0.03824770623359127, -0.0724741414229831, -0.18869227698820212, 0.3918809880623999, 0.18223225656160852, 0.13896958220858072, 0.054757864472618246, 0.25191223982424626, 0.12281044730342978, 0.06000549778463724, 0.030891513691513217, 0.17832559487525967, 0.20267609266591244, 0.008734714368061312, -0.1955841278684312, -0.035389542944081455, 0.1436613934263047] |
712.2494 | Divergence of combinatorial averages and the unboundedness of the
trilinear Hilbert transform | We consider multilinear averages in ergodic theory and harmonic analysis and
prove their divergence in some range of $L^p$ spaces, with $p$ close enough to
1. We also prove that the trilinear Hilbert transform is unbounded in a similar
range of $L^p$ spaces.
| math.CA math.DS | we consider multilinear averages in ergodic theory and harmonic analysis and prove their divergence in some range of lp spaces with p close enough to 1 we also prove that the trilinear hilbert transform is unbounded in a similar range of lp spaces | [['we', 'consider', 'multilinear', 'averages', 'in', 'ergodic', 'theory', 'and', 'harmonic', 'analysis', 'and', 'prove', 'their', 'divergence', 'in', 'some', 'range', 'of', 'lp', 'spaces', 'with', 'p', 'close', 'enough', 'to', '1', 'we', 'also', 'prove', 'that', 'the', 'trilinear', 'hilbert', 'transform', 'is', 'unbounded', 'in', 'a', 'similar', 'range', 'of', 'lp', 'spaces']] | [-0.10733806810796608, 0.1379773419913511, -0.09128689367410749, 0.18098816649479316, -0.04263015749842622, -0.12322501633532865, 0.01113599284043059, 0.3843670899351669, -0.3734310103883577, -0.16622246580934802, 0.14572320844122577, -0.26830541390145934, -0.14547422238040802, 0.22619524182275283, -0.12198332283472599, 0.09429967338435871, 0.040775213217319445, 0.07199476382067037, -0.14918194195190662, -0.24860197722067146, 0.3761954853868892, -0.0845481286388497, 0.15312423175850579, 0.05005886770654903, 0.07971623011453208, 0.05506398153036486, -0.011825080852695676, -0.06520710517327453, -0.17387001338326183, 0.16269417505624684, 0.3066748196129189, 0.05742944780260671, 0.3149961645520011, -0.3417376306254503, -0.17924641900111077, 0.21765674616015235, 0.1379408039109305, -0.04293955208430456, -0.00556800844754244, -0.24879019842807984, 0.12361819739453495, -0.11764007691987032, -0.10966525864679107, -0.15215807787121036, 0.034808872982339804, 0.06254017119685751, -0.34240362412014674, 0.05035797798353637, 0.1581078190356493, 0.08056809120746546, -0.14926956888006696, -0.11740392054496117, 0.04769568179928979, 0.030406744890781337, 0.04415797934120218, 0.06378958186914407, 0.059875036806387956, -0.013458743388223093, -0.07015076551997904, 0.32578961932381917, -0.10571106997464762, -0.2347191946451054, 0.1714804459060001, -0.2756208941816937, -0.1632778023391269, 0.06924708007813193, 0.16178803802143002, 0.1382206106168586, -0.05177291209787824, 0.2216318350929637, -0.07182021748794373, 0.13211484552296096, 0.09550523519689261, 0.11801468428267642, 0.0610652974871702, 0.051611064131869826, 0.19836786906992973, 0.16321304343034362, -0.014707466468301624, -0.09785108212760628, -0.3334437968252703, -0.16463116376639106, -0.17709222204203523, 0.05100792382443107, -0.14523958378988536, -0.15667301191146984, 0.30005946634120717, 0.1135969360651405, 0.19254099715739315, 0.18266111068687466, 0.15890058017400807, 0.1273224518179547, -0.010104713317136778, 0.07282570020707194, 0.20107373477536428, 0.1826372027050617, 0.12380108575141707, -0.1387363474621156, -0.052601630626203016, 0.16420939275561725] |
712.2495 | On the Quantum Instability of Attractive Bose Systems | We explore the zero-temperature behavior of an assembly of bosons interacting
through a zero-range, attractive potential. Because the two-body interaction
admits a bound state, the many-body model is best described by a Hamiltonian
that includes the coupling between atomic and molecular components. Due to the
positive scattering length, the low-density collection is expected to remain
stable against collapse despite the attraction between particles. Although a
variational many-body analysis indicates a collapsing solution with only a
molecular component to its condensate at low density, the expected atomic
condensate solution can be obtained if the chemical potential is allowed to be
complex valued. In addition to revealing two discrete eigenfrequencies
associated with the molecular case, an expansion in small oscillations
quantifies the imaginary part of the chemical potential as proportional to a
coherent decay rate of the atomic condensate into a continuum of collective
phonon excitations about the collapsing lower state.
| cond-mat.other cond-mat.stat-mech | we explore the zerotemperature behavior of an assembly of bosons interacting through a zerorange attractive potential because the twobody interaction admits a bound state the manybody model is best described by a hamiltonian that includes the coupling between atomic and molecular components due to the positive scattering length the lowdensity collection is expected to remain stable against collapse despite the attraction between particles although a variational manybody analysis indicates a collapsing solution with only a molecular component to its condensate at low density the expected atomic condensate solution can be obtained if the chemical potential is allowed to be complex valued in addition to revealing two discrete eigenfrequencies associated with the molecular case an expansion in small oscillations quantifies the imaginary part of the chemical potential as proportional to a coherent decay rate of the atomic condensate into a continuum of collective phonon excitations about the collapsing lower state | [['we', 'explore', 'the', 'zerotemperature', 'behavior', 'of', 'an', 'assembly', 'of', 'bosons', 'interacting', 'through', 'a', 'zerorange', 'attractive', 'potential', 'because', 'the', 'twobody', 'interaction', 'admits', 'a', 'bound', 'state', 'the', 'manybody', 'model', 'is', 'best', 'described', 'by', 'a', 'hamiltonian', 'that', 'includes', 'the', 'coupling', 'between', 'atomic', 'and', 'molecular', 'components', 'due', 'to', 'the', 'positive', 'scattering', 'length', 'the', 'lowdensity', 'collection', 'is', 'expected', 'to', 'remain', 'stable', 'against', 'collapse', 'despite', 'the', 'attraction', 'between', 'particles', 'although', 'a', 'variational', 'manybody', 'analysis', 'indicates', 'a', 'collapsing', 'solution', 'with', 'only', 'a', 'molecular', 'component', 'to', 'its', 'condensate', 'at', 'low', 'density', 'the', 'expected', 'atomic', 'condensate', 'solution', 'can', 'be', 'obtained', 'if', 'the', 'chemical', 'potential', 'is', 'allowed', 'to', 'be', 'complex', 'valued', 'in', 'addition', 'to', 'revealing', 'two', 'discrete', 'eigenfrequencies', 'associated', 'with', 'the', 'molecular', 'case', 'an', 'expansion', 'in', 'small', 'oscillations', 'quantifies', 'the', 'imaginary', 'part', 'of', 'the', 'chemical', 'potential', 'as', 'proportional', 'to', 'a', 'coherent', 'decay', 'rate', 'of', 'the', 'atomic', 'condensate', 'into', 'a', 'continuum', 'of', 'collective', 'phonon', 'excitations', 'about', 'the', 'collapsing', 'lower', 'state']] | [-0.1577686042393614, 0.1965248950840296, -0.10080272970946143, 0.05892495974045147, -0.015933516699408224, -0.11320989547397366, 0.054716494240666796, 0.31285291304499313, -0.2626764389167496, -0.23402114970072005, 0.007539385023383086, -0.28987500191534926, -0.09591748962966387, 0.11486292453154597, 0.07886773143151163, 0.014255270274002856, 0.039278833923748875, 0.044094500930404804, -0.038695250091692994, -0.18220047331133846, 0.31263676135575763, 0.05027718078532575, 0.22427626164011258, 0.10334014322846227, 0.0677562983419071, -0.010789515300585119, 0.05260531910720138, -0.010246246762498714, -0.10935014219841906, 0.08413425420454684, 0.20976111644780537, 0.02311068994536896, 0.2586105255122553, -0.42121646168247967, -0.20085290786278928, 0.12988600825840896, 0.20513064032690068, 0.16734496550634503, -0.0371962810972793, -0.30029577877991304, 0.004056563288373435, -0.1771144401782111, -0.19844320858047412, -0.08657051977738989, 0.042342014141980834, 0.02206189519625732, -0.2574332270821269, 0.11111765300805036, 0.0186548724758045, 0.014961616936196017, -0.11350433570692228, -0.07603364483134559, -0.03290633053671969, 0.07950901958603887, 0.02990194562050645, 0.04874924237874255, 0.17462422912815373, -0.16145295596637782, -0.03818333321782266, 0.421128623650078, -0.12363175229769476, -0.17759938414783635, 0.23839066419500432, -0.1285052818914988, -0.05120307019592932, 0.20190027664609303, 0.11599642231446322, 0.05692534817807726, -0.1425400865483004, 0.09987206886282805, -0.0088966422528341, 0.21003456300455803, 0.04844137436504032, 0.04951904495106072, 0.2626986583763571, 0.17778665724135434, 0.05367314429040928, 0.16150710304367713, -0.06401343275785083, -0.18715674761095202, -0.26948503706129207, -0.12800171443623734, -0.23139080783702284, 0.08663305673348223, -0.06927635832273654, -0.19361053312809876, 0.3695566583199789, 0.08193252592553828, 0.21720915830900406, 0.01758389834833375, 0.2907827229382808, 0.1358562804033492, 0.06201475725240455, 0.04710191391070917, 0.25963476205857206, 0.18052071596936467, 0.03723219304264292, -0.3033355249173239, 0.041462282090754116, 0.04152547484795069] |
712.2496 | A single-time two-point closure based on fluid particle displacements | A new single-time two-point closure is proposed, in which the equation for
the two-point correlation between the displacement of a fluid particle and the
velocity allows one to estimate a Lagrangian timescale. This timescale is used
to specify the nonlinear damping of triple correlations in the closure. A
closed set of equations is obtained without ad hoc constants. Taking advantage
of the analogy between particle displacements and scalar fluctuations in
isotropic turbulence subjected to a mean scalar gradient, the model is
numerically integrated. Results for the energy spectrum are in agreement with
classical scaling predictions. An estimate for the Kolmogorov constant is
obtained.
| physics.flu-dyn | a new singletime twopoint closure is proposed in which the equation for the twopoint correlation between the displacement of a fluid particle and the velocity allows one to estimate a lagrangian timescale this timescale is used to specify the nonlinear damping of triple correlations in the closure a closed set of equations is obtained without ad hoc constants taking advantage of the analogy between particle displacements and scalar fluctuations in isotropic turbulence subjected to a mean scalar gradient the model is numerically integrated results for the energy spectrum are in agreement with classical scaling predictions an estimate for the kolmogorov constant is obtained | [['a', 'new', 'singletime', 'twopoint', 'closure', 'is', 'proposed', 'in', 'which', 'the', 'equation', 'for', 'the', 'twopoint', 'correlation', 'between', 'the', 'displacement', 'of', 'a', 'fluid', 'particle', 'and', 'the', 'velocity', 'allows', 'one', 'to', 'estimate', 'a', 'lagrangian', 'timescale', 'this', 'timescale', 'is', 'used', 'to', 'specify', 'the', 'nonlinear', 'damping', 'of', 'triple', 'correlations', 'in', 'the', 'closure', 'a', 'closed', 'set', 'of', 'equations', 'is', 'obtained', 'without', 'ad', 'hoc', 'constants', 'taking', 'advantage', 'of', 'the', 'analogy', 'between', 'particle', 'displacements', 'and', 'scalar', 'fluctuations', 'in', 'isotropic', 'turbulence', 'subjected', 'to', 'a', 'mean', 'scalar', 'gradient', 'the', 'model', 'is', 'numerically', 'integrated', 'results', 'for', 'the', 'energy', 'spectrum', 'are', 'in', 'agreement', 'with', 'classical', 'scaling', 'predictions', 'an', 'estimate', 'for', 'the', 'kolmogorov', 'constant', 'is', 'obtained']] | [-0.14562518030260374, 0.1298127125111438, -0.12129023386780353, 0.10413096703869264, -0.06506429352227924, -0.10358322192507896, -0.05192281430569089, 0.3123247294316014, -0.2671212038043344, -0.27519904719032706, 0.019105546614403827, -0.2659043902012766, -0.0830903188404582, 0.2003870224489749, 0.033487685580819264, 0.08213130326815021, 0.03352332775010863, 0.05737561585146536, -0.08511864382534026, -0.1570232339334466, 0.3019287435572992, 0.060779225533303706, 0.26315203612869226, 0.019887297449280843, 0.12719259489761683, -0.013806450951537028, -0.03100639639548885, 0.04662388072629432, -0.17078993027324527, 0.09515196555158467, 0.1640250755155242, 0.029975834433712715, 0.2507832325560954, -0.40771244522364974, -0.22323570202457385, 0.11079400722660775, 0.1483748982461549, 0.09227470877621033, 0.0017733163996011888, -0.24702330677345105, 0.053416917652108716, -0.14024684926748132, -0.16485758622185986, -0.043840023842685434, 0.050354903319723976, 0.018195748591379634, -0.3404040679661105, 0.15289092584268996, 0.017648398460259715, 0.04665967709050306, -0.09565008694398697, -0.051773382298811114, -0.003291235845626413, 0.1076093384571084, 0.047107275587832106, 0.04421135351780657, 0.12313590758453005, -0.1400955302563939, -0.06578593675072024, 0.3851782409270809, -0.1302275192082941, -0.2773078124590435, 0.1265666633460092, -0.11498061229375381, -0.056353102890250174, 0.14765847414659644, 0.13462661224806194, 0.05605911850495246, -0.17581421748093032, 0.0964382550429363, -0.01965973678596535, 0.16860548261376732, 0.0350460078684812, -0.0046192265112993975, 0.1645439546464861, 0.12753111052607158, 0.037361160038238014, 0.11416103291038189, -0.09754307872900576, -0.17326757007106705, -0.3408331447145314, -0.15549919040855562, -0.18324182220074592, 0.06527515712365942, -0.14584423288068896, -0.174986208947285, 0.3751399041542295, 0.13118395554885107, 0.18169250808773763, 0.0931176317130098, 0.2929370460118556, 0.18093119125298418, 0.042383788015639176, 0.08821892374403124, 0.28922661924644294, 0.20050765630038617, 0.11810192944554304, -0.24998188125946133, 0.036737780403164985, 0.10924039202859824] |
712.2497 | A New Theoretic Foundation for Cross-Layer Optimization | Cross-layer optimization solutions have been proposed in recent years to
improve the performance of network users operating in a time-varying,
error-prone wireless environment. However, these solutions often rely on ad-hoc
optimization approaches, which ignore the different environmental dynamics
experienced at various layers by a user and violate the layered network
architecture of the protocol stack by requiring layers to provide access to
their internal protocol parameters to other layers. This paper presents a new
theoretic foundation for cross-layer optimization, which allows each layer to
make autonomous decisions individually, while maximizing the utility of the
wireless user by optimally determining what information needs to be exchanged
among layers. Hence, this cross-layer framework does not change the current
layered architecture. Specifically, because the wireless user interacts with
the environment at various layers of the protocol stack, the cross-layer
optimization problem is formulated as a layered Markov decision process (MDP)
in which each layer adapts its own protocol parameters and exchanges
information (messages) with other layers in order to cooperatively maximize the
performance of the wireless user. The message exchange mechanism for
determining the optimal cross-layer transmission strategies has been designed
for both off-line optimization and on-line dynamic adaptation. We also show
that many existing cross-layer optimization algorithms can be formulated as
simplified, sub-optimal, versions of our layered MDP framework.
| cs.NI cs.LG | crosslayer optimization solutions have been proposed in recent years to improve the performance of network users operating in a timevarying errorprone wireless environment however these solutions often rely on adhoc optimization approaches which ignore the different environmental dynamics experienced at various layers by a user and violate the layered network architecture of the protocol stack by requiring layers to provide access to their internal protocol parameters to other layers this paper presents a new theoretic foundation for crosslayer optimization which allows each layer to make autonomous decisions individually while maximizing the utility of the wireless user by optimally determining what information needs to be exchanged among layers hence this crosslayer framework does not change the current layered architecture specifically because the wireless user interacts with the environment at various layers of the protocol stack the crosslayer optimization problem is formulated as a layered markov decision process mdp in which each layer adapts its own protocol parameters and exchanges information messages with other layers in order to cooperatively maximize the performance of the wireless user the message exchange mechanism for determining the optimal crosslayer transmission strategies has been designed for both offline optimization and online dynamic adaptation we also show that many existing crosslayer optimization algorithms can be formulated as simplified suboptimal versions of our layered mdp framework | [['crosslayer', 'optimization', 'solutions', 'have', 'been', 'proposed', 'in', 'recent', 'years', 'to', 'improve', 'the', 'performance', 'of', 'network', 'users', 'operating', 'in', 'a', 'timevarying', 'errorprone', 'wireless', 'environment', 'however', 'these', 'solutions', 'often', 'rely', 'on', 'adhoc', 'optimization', 'approaches', 'which', 'ignore', 'the', 'different', 'environmental', 'dynamics', 'experienced', 'at', 'various', 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712.2498 | A Duality Result for Moduli Spaces of Semistable Sheaves Supported on
Projective Curves | We show that the moduli space M(r,c) of semistable sheaves on n-dimensional
projective space with support of dimension one, with multiplicity r and with
Euler characteristic c is isomorphic to M(r,-c).
| math.AG | we show that the moduli space mrc of semistable sheaves on ndimensional projective space with support of dimension one with multiplicity r and with euler characteristic c is isomorphic to mrc | [['we', 'show', 'that', 'the', 'moduli', 'space', 'mrc', 'of', 'semistable', 'sheaves', 'on', 'ndimensional', 'projective', 'space', 'with', 'support', 'of', 'dimension', 'one', 'with', 'multiplicity', 'r', 'and', 'with', 'euler', 'characteristic', 'c', 'is', 'isomorphic', 'to', 'mrc']] | [-0.2436850007262922, 0.020054444640634522, -0.08017793459998022, -0.015507466957769207, -0.0990050746758859, -0.2031935738219369, -0.08738590356323027, 0.3543928627285265, -0.30357255263914984, -0.1293119130836379, 0.0914571707497441, -0.20682776325021782, -0.1222417788399804, 0.2165505013638927, -0.14010583239817812, -0.03351527085948375, 0.048635723572524804, 0.10944651836349119, -0.06811352355796244, -0.4093305684866444, 0.5710695895456499, -0.05702200291618224, 0.26575240712132187, -0.0014083675379233977, 0.1655337883820457, 0.03493993474741376, -0.014655666651144143, 0.0340598305187849, -0.1658236237870428, 0.16253850239539339, 0.3630809387372386, 0.08916789055201074, 0.11227451075964998, -0.2527814116028528, -0.15091329203137466, 0.2688468465160939, 0.1543644636028236, -0.06455648550763726, 0.0839776309740339, -0.2256260901208847, 0.1540728836290298, -0.1260507927546578, -0.15073334197363547, -0.05303840059787035, 0.08458771763910208, 0.07095814679539011, -0.23342136425837393, -0.04888862080030864, 0.015208448914270247, 0.1830738252028823, -0.09258473877825084, -0.15788801498110255, -0.17640730684563036, -0.06865415965852838, -0.008488028738347272, 0.1423624657064436, 0.057122009971569625, -0.07418375330105904, -0.12073734034633925, 0.3518067726775283, -0.10622406817011294, -0.277927863621904, 0.18618511252345576, -0.21994236802622194, -0.06702370205593686, 0.1977475232655002, 0.08625107583019041, 0.12287506617365344, 0.16976873525568553, 0.19552735587574482, -0.15475402082947473, 0.13555118549735315, 0.0343296462369542, 0.036066819327853376, 0.13350710140601282, 0.14233258363580512, 0.06357088398128267, 0.08232162648721808, -0.11130264565919436, -0.00010523386299610138, -0.3568391804733584, -0.28535706444733566, -0.12420443493512369, 0.22355576751813774, -0.15827532781000744, -0.13271320857588323, 0.3295816205321781, 0.05136020130087291, 0.21254726751677452, 0.21476058502711595, 0.2925434657222321, -0.019694523855803475, 0.02173353547245384, 0.12627437793379348, 0.12531755438014383, 0.20978591476957645, -0.06457122558006836, -0.14053621849105244, -0.0759109963152197, 0.2401206129110388] |
712.2499 | Fusion-fission reactions with modified Woods-Saxon potential | A modified Woods-Saxon potential model is proposed for a unified description
of the entrance channel fusion barrier and the fission barrier of
fusion-fission reactions based on the Skyrme energy-density functional
approach. The fusion excitation functions of 120 reactions have been
systematically studied. The fusion (capture) cross sections are well described
with the calculated potential and an empirical barrier distribution.
Incorporating a statistical model (HIVAP code) for describing the decay of the
compound nucleus, the evaporation residue (and fission) cross sections of 51
fusion-fission reactions have been systematically investigated. Optimal values
of some key parameters of the HIVAP code are obtained based on the experimental
data of these reactions. The experimental data are reasonably well reproduced
by the calculated results. The upper and lower confidence limits of the
systematic errors of the calculated results are given.
| nucl-th | a modified woodssaxon potential model is proposed for a unified description of the entrance channel fusion barrier and the fission barrier of fusionfission reactions based on the skyrme energydensity functional approach the fusion excitation functions of 120 reactions have been systematically studied the fusion capture cross sections are well described with the calculated potential and an empirical barrier distribution incorporating a statistical model hivap code for describing the decay of the compound nucleus the evaporation residue and fission cross sections of 51 fusionfission reactions have been systematically investigated optimal values of some key parameters of the hivap code are obtained based on the experimental data of these reactions the experimental data are reasonably well reproduced by the calculated results the upper and lower confidence limits of the systematic errors of the calculated results are given | [['a', 'modified', 'woodssaxon', 'potential', 'model', 'is', 'proposed', 'for', 'a', 'unified', 'description', 'of', 'the', 'entrance', 'channel', 'fusion', 'barrier', 'and', 'the', 'fission', 'barrier', 'of', 'fusionfission', 'reactions', 'based', 'on', 'the', 'skyrme', 'energydensity', 'functional', 'approach', 'the', 'fusion', 'excitation', 'functions', 'of', '120', 'reactions', 'have', 'been', 'systematically', 'studied', 'the', 'fusion', 'capture', 'cross', 'sections', 'are', 'well', 'described', 'with', 'the', 'calculated', 'potential', 'and', 'an', 'empirical', 'barrier', 'distribution', 'incorporating', 'a', 'statistical', 'model', 'hivap', 'code', 'for', 'describing', 'the', 'decay', 'of', 'the', 'compound', 'nucleus', 'the', 'evaporation', 'residue', 'and', 'fission', 'cross', 'sections', 'of', '51', 'fusionfission', 'reactions', 'have', 'been', 'systematically', 'investigated', 'optimal', 'values', 'of', 'some', 'key', 'parameters', 'of', 'the', 'hivap', 'code', 'are', 'obtained', 'based', 'on', 'the', 'experimental', 'data', 'of', 'these', 'reactions', 'the', 'experimental', 'data', 'are', 'reasonably', 'well', 'reproduced', 'by', 'the', 'calculated', 'results', 'the', 'upper', 'and', 'lower', 'confidence', 'limits', 'of', 'the', 'systematic', 'errors', 'of', 'the', 'calculated', 'results', 'are', 'given']] | [-0.034741091262549165, 0.09763041976246448, -0.10518342056484134, 0.15367187078162614, 0.053686170362763935, -0.11997233024556879, 0.04868063929111317, 0.35422552112765887, -0.21226783900832136, -0.3012606826507383, -0.0029683456118046133, -0.2962872046770321, -0.023864027002343424, 0.20462742176691623, 0.040684207953098746, 0.13591794098858911, 0.07414697406089141, 0.06439764935316311, -0.03486888856385593, -0.19910887683983203, 0.317411518027937, 0.14892792058073812, 0.2772765268537181, 0.15543317545159005, 0.06344675273048105, 0.004014775784755195, -0.03263748116032393, -0.04922045909075273, -0.18827990421818364, 0.14256209566223402, 0.23557148232228226, 0.06861839830461476, 0.1353690173752882, -0.42387173025420416, -0.24754051750663805, 0.039789534899992526, 0.13103592163296762, 0.12539602061043734, -0.0994516676067616, -0.2916720869278328, 0.06691316460017804, -0.251600131040646, -0.0773874802135483, -0.07422378641656703, 0.01940419617695389, 0.10037779131973232, -0.2896440476420577, 0.054195004201459666, -0.005591313111492329, 0.07745169311184091, -0.17035356723117057, -0.26179159029421434, -0.05841138955826561, 0.09947450994341461, 0.04919463016817139, -0.023922480208178363, 0.21793400914304786, -0.08715122195297025, -0.10505814497807511, 0.36177653335724713, -0.012216309451118663, -0.17189086962629246, 0.08283959348487702, -0.11473635315412173, -0.08607311801105323, 0.18913870143393677, 0.16182208238169551, 0.13804646649018482, -0.21214014654634175, 0.08590841242807477, 0.014396743631611269, 0.10305775732181414, 0.07117229765626015, -0.019802945400415748, 0.12607252159052426, 0.21082948942979177, -0.0941706682589871, 0.06203802723644508, -0.14648574838690737, -0.17422188038213385, -0.3459407319625219, -0.07423139713980534, -0.12190734199765656, -0.01788023494321991, -0.035073546644007025, -0.12985608471143578, 0.37026238242785137, 0.06665246044458062, 0.23808407982750968, 0.04065747010625071, 0.27127572235961755, 0.14911992464352536, 0.08840516834321466, 0.011626272664094965, 0.2691283903716356, 0.1871695929258648, 0.0253837110336732, -0.21489937207834037, 0.12308896592369786, 0.029508926098545392] |
712.25 | The composition of transiting giant extrasolar planets | In principle, the combined measurements of the mass and radius a giant
exoplanet allow one to determine the relative fraction of hydrogen and helium
and of heavy elements in the planet. However, uncertainties on the underlying
physics imply that some known transiting planets appear anomalously large, and
this generally prevent any firm conclusion when a planet is considered on an
individual basis. On the basis of a sample of 9 transiting planets known at the
time, Guillot et al. A&A 453, L21 (1996), concluded that all planets could be
explained with the same set of hypotheses, either by large but plausible
modifications of the equations of state, opacities, or by the addition of an
energy source, probably related to the dissipation of kinetic energy by tides.
On this basis, they concluded that the amount of heavy elements in close-in
giant planets is correlated with the metallicity of the parent star.
Furthermore they showed that planets around metal-rich stars can possess large
amounts of heavy elements, up to 100 Earth masses. These results are confirmed
by studying the present sample of 18 transiting planets with masses between
that of Saturn and twice the mass of Jupiter.
| astro-ph | in principle the combined measurements of the mass and radius a giant exoplanet allow one to determine the relative fraction of hydrogen and helium and of heavy elements in the planet however uncertainties on the underlying physics imply that some known transiting planets appear anomalously large and this generally prevent any firm conclusion when a planet is considered on an individual basis on the basis of a sample of 9 transiting planets known at the time guillot et al aa 453 l21 1996 concluded that all planets could be explained with the same set of hypotheses either by large but plausible modifications of the equations of state opacities or by the addition of an energy source probably related to the dissipation of kinetic energy by tides on this basis they concluded that the amount of heavy elements in closein giant planets is correlated with the metallicity of the parent star furthermore they showed that planets around metalrich stars can possess large amounts of heavy elements up to 100 earth masses these results are confirmed by studying the present sample of 18 transiting planets with masses between that of saturn and twice the mass of jupiter | [['in', 'principle', 'the', 'combined', 'measurements', 'of', 'the', 'mass', 'and', 'radius', 'a', 'giant', 'exoplanet', 'allow', 'one', 'to', 'determine', 'the', 'relative', 'fraction', 'of', 'hydrogen', 'and', 'helium', 'and', 'of', 'heavy', 'elements', 'in', 'the', 'planet', 'however', 'uncertainties', 'on', 'the', 'underlying', 'physics', 'imply', 'that', 'some', 'known', 'transiting', 'planets', 'appear', 'anomalously', 'large', 'and', 'this', 'generally', 'prevent', 'any', 'firm', 'conclusion', 'when', 'a', 'planet', 'is', 'considered', 'on', 'an', 'individual', 'basis', 'on', 'the', 'basis', 'of', 'a', 'sample', 'of', '9', 'transiting', 'planets', 'known', 'at', 'the', 'time', 'guillot', 'et', 'al', 'aa', '453', 'l21', '1996', 'concluded', 'that', 'all', 'planets', 'could', 'be', 'explained', 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712.2501 | Cell mapping description for digital control system with quantization
effect | Quantization problem in digital control system have attracted more and more
attention in these years. Normally, a quantized variable is regarded as a
perturbed copy of the unquantized variable in the research of quantization
effect, but this model has shown many obvious disadvantages in control system
analysis and design process. In this paper, we give a new model for
quantization based 'cell mapping' concept. This cell model could clearly
describe the global dynamics of quantized digital system. Then some important
characteristics of control system like controllability are analyzed by this
model. The finite precision control design method based on cell concept is also
presented.
| cs.OH | quantization problem in digital control system have attracted more and more attention in these years normally a quantized variable is regarded as a perturbed copy of the unquantized variable in the research of quantization effect but this model has shown many obvious disadvantages in control system analysis and design process in this paper we give a new model for quantization based cell mapping concept this cell model could clearly describe the global dynamics of quantized digital system then some important characteristics of control system like controllability are analyzed by this model the finite precision control design method based on cell concept is also presented | [['quantization', 'problem', 'in', 'digital', 'control', 'system', 'have', 'attracted', 'more', 'and', 'more', 'attention', 'in', 'these', 'years', 'normally', 'a', 'quantized', 'variable', 'is', 'regarded', 'as', 'a', 'perturbed', 'copy', 'of', 'the', 'unquantized', 'variable', 'in', 'the', 'research', 'of', 'quantization', 'effect', 'but', 'this', 'model', 'has', 'shown', 'many', 'obvious', 'disadvantages', 'in', 'control', 'system', 'analysis', 'and', 'design', 'process', 'in', 'this', 'paper', 'we', 'give', 'a', 'new', 'model', 'for', 'quantization', 'based', 'cell', 'mapping', 'concept', 'this', 'cell', 'model', 'could', 'clearly', 'describe', 'the', 'global', 'dynamics', 'of', 'quantized', 'digital', 'system', 'then', 'some', 'important', 'characteristics', 'of', 'control', 'system', 'like', 'controllability', 'are', 'analyzed', 'by', 'this', 'model', 'the', 'finite', 'precision', 'control', 'design', 'method', 'based', 'on', 'cell', 'concept', 'is', 'also', 'presented']] | [-0.13105056038497984, 0.05470410448749764, -0.07791347681688002, 0.012062206068006932, -0.06968458831453553, -0.20025442541988853, 0.045510247731447004, 0.37755398731678724, -0.29306279346705055, -0.2719227176768562, 0.14273252785362553, -0.21807945086262548, -0.2501378449468085, 0.21053366497373924, -0.15438416873355612, 0.06544013045584926, 0.05290209849772509, 0.05929882733975179, -0.016649014540374853, -0.22967360516598162, 0.2668219274279321, 0.05611124658473553, 0.35371433733962476, -0.02957261213585018, 0.12536915174076477, 0.013084504310077487, -0.041361097716547265, 0.03611579186354692, -0.08197708532455951, 0.11392227553005796, 0.22157171125917768, 0.12658897573755196, 0.3310929720218365, -0.41384929248866126, -0.2637180550149284, 0.08150492853019387, 0.18742090662439856, 0.13105838500464764, -0.120202317093152, -0.24647631584677862, 0.10366794783084725, -0.20269477288596904, -0.08855976118670347, -0.08701782251255981, 0.005476796265261678, -0.001035567083870494, -0.20099109604668158, 0.014455473598690542, 0.0720912697008596, 0.08664307160338816, -0.08812849456668258, -0.10745999748961857, 0.021259843515088923, 0.12304689629057136, -0.0010446168825393005, 0.017414407974753816, 0.11610709194344683, -0.09993430797476321, -0.12915142131700683, 0.38961559104231686, 0.0014798428522996032, -0.270543659858119, 0.1230194506710037, -0.11948317220398727, -0.1394707110325376, 0.09676388021594343, 0.21561777092910445, 0.10040907488123943, -0.20201722539674777, 0.05132733277479509, -0.03280480444216384, 0.16619984574096563, -0.002415712889230165, 0.07886710438805704, 0.19566583943266708, 0.24840957390216106, 0.08974659680377674, 0.1533895760971623, -0.06360212025566188, -0.142394636095, -0.27455741015728563, -0.14310397766082764, -0.1442393236412989, 0.033148191912914626, -0.011106502967427682, -0.1542206799816855, 0.409265702657509, 0.18907313774196574, 0.1650110065775852, -0.017114303303130258, 0.31898384438290334, 0.13674151814484503, 0.06497331260022922, -0.011641825316473842, 0.2209244351131649, 0.12982833095548602, 0.1537929194074912, -0.20755563735908183, 0.0549622557994623, 0.06273853849136056] |
712.2502 | Band Bending Independent of Surface Passivation in
ZnO/CdS/Cu(In,Ga)(S,Se)$_2$ Heterojunctions and Cr/Cu(In,Ga)(S,Se)$_2$
Schottky Contacts | We have employed admittance spectroscopy and deep-level transient
spectroscopy in order to investigate the electronic properties of
ZnO/CdS/Cu(In,Ga)(S,Se)$_2$ heterojunctions and Cr/Cu(In,Ga)(S,Se)$_2$ Schottky
contacts. Our work concentrates on the origin of an energy-distributed defect
state commonly found in these systems. The activation energy of the defect
state addressed continuously shifts upon air annealing or damp-heat treatment
and is a valuable measure of the degree of band bending in
Cu(In,Ga)(S,Se)$_2$-based junctions. We demonstrate that the band bending
within the Cu(In,Ga)(S,Se)$_2$ layer, reported in the literature to become
minimal after air exposure, returns after the formation of either a Schottky
contact or a heterojunction. The earlier phenomenon turns out to be independent
of a surface passivation due to the CdS bath deposition.
| cond-mat.mtrl-sci | we have employed admittance spectroscopy and deeplevel transient spectroscopy in order to investigate the electronic properties of znocdscuingasse_2 heterojunctions and crcuingasse_2 schottky contacts our work concentrates on the origin of an energydistributed defect state commonly found in these systems the activation energy of the defect state addressed continuously shifts upon air annealing or dampheat treatment and is a valuable measure of the degree of band bending in cuingasse_2based junctions we demonstrate that the band bending within the cuingasse_2 layer reported in the literature to become minimal after air exposure returns after the formation of either a schottky contact or a heterojunction the earlier phenomenon turns out to be independent of a surface passivation due to the cds bath deposition | [['we', 'have', 'employed', 'admittance', 'spectroscopy', 'and', 'deeplevel', 'transient', 'spectroscopy', 'in', 'order', 'to', 'investigate', 'the', 'electronic', 'properties', 'of', 'znocdscuingasse_2', 'heterojunctions', 'and', 'crcuingasse_2', 'schottky', 'contacts', 'our', 'work', 'concentrates', 'on', 'the', 'origin', 'of', 'an', 'energydistributed', 'defect', 'state', 'commonly', 'found', 'in', 'these', 'systems', 'the', 'activation', 'energy', 'of', 'the', 'defect', 'state', 'addressed', 'continuously', 'shifts', 'upon', 'air', 'annealing', 'or', 'dampheat', 'treatment', 'and', 'is', 'a', 'valuable', 'measure', 'of', 'the', 'degree', 'of', 'band', 'bending', 'in', 'cuingasse_2based', 'junctions', 'we', 'demonstrate', 'that', 'the', 'band', 'bending', 'within', 'the', 'cuingasse_2', 'layer', 'reported', 'in', 'the', 'literature', 'to', 'become', 'minimal', 'after', 'air', 'exposure', 'returns', 'after', 'the', 'formation', 'of', 'either', 'a', 'schottky', 'contact', 'or', 'a', 'heterojunction', 'the', 'earlier', 'phenomenon', 'turns', 'out', 'to', 'be', 'independent', 'of', 'a', 'surface', 'passivation', 'due', 'to', 'the', 'cds', 'bath', 'deposition']] | [-0.11907275808615643, 0.11770403674885879, -0.08803380662248585, 0.014907888753090478, 0.0035147473497904444, -0.1192276744466079, 0.12285676372253843, 0.43958515571348633, -0.25943915499782744, -0.29665537078082643, 0.05461878667324128, -0.3101704141549897, -0.12288744974342224, 0.18217245832579865, -0.020267924655375903, 0.03562861622776836, 0.03260003384039329, -0.030142886353771024, -0.04531641771992374, -0.19107380589029113, 0.29608514839211447, 0.10310673102937647, 0.3125173329914871, 0.12649542124729538, 0.026586571352948483, 0.006431816756447549, 0.04668813215143848, 0.016284765839053875, -0.15185375350943345, 0.07299225769218123, 0.25248470758659797, -0.06185098814839556, 0.23754727735037082, -0.4802303510767065, -0.26490054264043766, 0.03021647635716618, 0.0992536688582939, 0.1152920372081561, -0.053752737451679675, -0.2571406412722641, 0.05112419759429861, -0.1271523302126106, -0.13052230431461348, 0.011480146447163924, -0.017522395580288088, -0.005292490467821297, -0.17947490274979683, 0.056215738395653796, 0.02733376316558733, 0.055159318644814846, -0.07754961254581678, -0.11166656871015827, -0.08661674764293262, 0.11009595315625663, 0.045743280902235325, -0.009795727163324492, 0.227718814937888, -0.09782753691583741, -0.08460738622632466, 0.32950760232970905, -0.04585236728930715, -0.09194185950815281, 0.1810285375859964, -0.1448950278899518, -0.058539914498269036, 0.166852324755797, 0.11141091099891223, 0.1118667532420276, -0.18432565901036324, 0.04655406979707135, 0.06524922326207161, 0.18782176119438782, 0.10330377749918976, 0.02315448736567704, 0.22006795733856657, 0.18495794341147861, 0.07972573947055232, 0.1390848711016588, -0.13796513021735704, -0.023901261736459116, -0.22597582044749798, -0.20501511297193806, -0.19111643286560775, 0.10928749260410928, -0.02268010392142235, -0.22097915436320922, 0.42990289188169856, 0.10576268767513204, 0.16924813773744463, -0.04579369080244776, 0.22849850036947286, 0.10213551491094557, 0.08940914488017657, 0.012949536431972919, 0.24748146919566288, 0.14419134545319698, 0.0912802634605517, -0.2713471470306742, 0.11501290911008, -0.022644430019059462] |
712.2503 | Dynamic and Static Excitations of a Classical Discrete Anisotropic
Heisenberg Ferromagnetic Spin Chain | Using Jacobi elliptic function addition formulas and summation identities we
obtain several static and moving periodic soliton solutions of a classical
anisotropic, discrete Heisenberg spin chain with and without an external
magnetic field. We predict the dispersion relations of these nonlinear
excitations and contrast them with that of magnons and relate these findings to
the materials realized by a discrete spin chain. As limiting cases, we discuss
different forms of domain wall structures and their properties.
| nlin.SI cond-mat.other | using jacobi elliptic function addition formulas and summation identities we obtain several static and moving periodic soliton solutions of a classical anisotropic discrete heisenberg spin chain with and without an external magnetic field we predict the dispersion relations of these nonlinear excitations and contrast them with that of magnons and relate these findings to the materials realized by a discrete spin chain as limiting cases we discuss different forms of domain wall structures and their properties | [['using', 'jacobi', 'elliptic', 'function', 'addition', 'formulas', 'and', 'summation', 'identities', 'we', 'obtain', 'several', 'static', 'and', 'moving', 'periodic', 'soliton', 'solutions', 'of', 'a', 'classical', 'anisotropic', 'discrete', 'heisenberg', 'spin', 'chain', 'with', 'and', 'without', 'an', 'external', 'magnetic', 'field', 'we', 'predict', 'the', 'dispersion', 'relations', 'of', 'these', 'nonlinear', 'excitations', 'and', 'contrast', 'them', 'with', 'that', 'of', 'magnons', 'and', 'relate', 'these', 'findings', 'to', 'the', 'materials', 'realized', 'by', 'a', 'discrete', 'spin', 'chain', 'as', 'limiting', 'cases', 'we', 'discuss', 'different', 'forms', 'of', 'domain', 'wall', 'structures', 'and', 'their', 'properties']] | [-0.16418306204784466, 0.1522299526092722, -0.05845859482590305, 0.07988335491513442, -0.12829691303991958, -0.1141622523336034, 0.020098265108428773, 0.42407982621194895, -0.2933421178512569, -0.26872827982726066, 0.1112826865451337, -0.28212667163461447, -0.14724168479810223, 0.21854738781449237, 0.050539840657093965, 0.060294980256769215, -0.005584078534555279, 0.015404988631704137, -0.1258118581547598, -0.18870922979763954, 0.33674297844500917, -0.06939575714549344, 0.26861990902474836, 0.021697226121384455, 0.1081273639329562, 0.05230451394852839, 0.024957902916388486, 0.0053091105795302655, -0.1754378548331787, 0.1275810217791188, 0.20486309162132735, -0.0537848988437633, 0.15744426064070707, -0.484636447539455, -0.20464939470893065, 0.06993983354492996, 0.16978145906039954, 0.1452061383935966, -0.03387007166441579, -0.3021313210851268, 0.046237231820429624, -0.18123062969626566, -0.20695899117517433, -0.13974643429116296, -0.01949151191633734, 0.11909802132485263, -0.21591994464152345, 0.09854431680746768, 0.1208959057387945, 0.08428372244203561, -0.12125252529145464, -0.0909469251009317, -0.03331539510614484, 0.11236422483221088, 0.08619322023035861, -0.029411353863236542, 0.10221855490051798, -0.16042248907155895, -0.17163203704464985, 0.3448395560446538, -0.06724538224577707, -0.23809414927994735, 0.18331711893092448, -0.11928794010370773, -0.07385494367611643, 0.05772572528191009, 0.12590012683205332, 0.11779525467978888, -0.12954011027652182, 0.0714531950606646, -0.029908043522338727, 0.12212176368063267, 0.10164771937324028, 0.048710375246101695, 0.2141921338870337, 0.0519894147414322, 0.022053225993754734, 0.2024424704968145, -0.059957545661554354, -0.11715399457362334, -0.2698769896585298, -0.16681652430346922, -0.15255461475125662, 0.05961236823350191, -0.13731822661793558, -0.20288373919596014, 0.3945446123038174, 0.10456555272840935, 0.1643273920850142, 0.04037594896937279, 0.1947302830552584, 0.17128202952536462, 0.054063057548391, 0.05250188534295088, 0.1668210395544424, 0.20263576540961176, 0.0896531549025033, -0.23623581356859127, -0.05686568032558027, 0.05575856753919078] |
712.2504 | Quantum Monte-Carlo study of a two-species boson Hubbard model | We consider a two-species hard-core boson Hubbard model for a supersolid,
where the two types of bosons represent vacancies and interstitials doped into
a commensurate crystal. The on-site inter-species interaction may create bound
states of vacancies and interstitials facilitating vacancy condensation at
lower energies than in a single-species model, as suggested in an earlier mean
field study. Here we carry out quantum Monte Carlo simulation to study possible
supersolid phases of the model, corresponding to superfluid phases of the
vacancies or interstitials. At low temperatures, we find three distinct
superfluid phases. The extent of the phases and the nature of the phase
transitions are discussed in comparison to mean-field theory.
| cond-mat.other | we consider a twospecies hardcore boson hubbard model for a supersolid where the two types of bosons represent vacancies and interstitials doped into a commensurate crystal the onsite interspecies interaction may create bound states of vacancies and interstitials facilitating vacancy condensation at lower energies than in a singlespecies model as suggested in an earlier mean field study here we carry out quantum monte carlo simulation to study possible supersolid phases of the model corresponding to superfluid phases of the vacancies or interstitials at low temperatures we find three distinct superfluid phases the extent of the phases and the nature of the phase transitions are discussed in comparison to meanfield theory | [['we', 'consider', 'a', 'twospecies', 'hardcore', 'boson', 'hubbard', 'model', 'for', 'a', 'supersolid', 'where', 'the', 'two', 'types', 'of', 'bosons', 'represent', 'vacancies', 'and', 'interstitials', 'doped', 'into', 'a', 'commensurate', 'crystal', 'the', 'onsite', 'interspecies', 'interaction', 'may', 'create', 'bound', 'states', 'of', 'vacancies', 'and', 'interstitials', 'facilitating', 'vacancy', 'condensation', 'at', 'lower', 'energies', 'than', 'in', 'a', 'singlespecies', 'model', 'as', 'suggested', 'in', 'an', 'earlier', 'mean', 'field', 'study', 'here', 'we', 'carry', 'out', 'quantum', 'monte', 'carlo', 'simulation', 'to', 'study', 'possible', 'supersolid', 'phases', 'of', 'the', 'model', 'corresponding', 'to', 'superfluid', 'phases', 'of', 'the', 'vacancies', 'or', 'interstitials', 'at', 'low', 'temperatures', 'we', 'find', 'three', 'distinct', 'superfluid', 'phases', 'the', 'extent', 'of', 'the', 'phases', 'and', 'the', 'nature', 'of', 'the', 'phase', 'transitions', 'are', 'discussed', 'in', 'comparison', 'to', 'meanfield', 'theory']] | [-0.12664485733786768, 0.2828678712588788, -0.04478771355934441, 0.09449671471322124, 0.06659191648518159, -0.16951052159578964, 0.15021424293623897, 0.39213658252900296, -0.2220216687324203, -0.25397787854414094, -0.031305951611350545, -0.34975876477123663, -0.07685910077892583, 0.04975922495465387, 0.10247029205360873, -0.026401945313608104, -0.01695543005639179, -0.05750160232366232, -0.1122155638882594, -0.26795379483268006, 0.27558482536114753, 0.014694576053245163, 0.2826054739469493, 0.08280092065159061, 0.0011123498414897105, -0.025046373841839588, 0.09780088092454454, -0.011815569308501753, -0.21810587353327057, -0.004282043512847105, 0.24332064960882152, -0.09169681919738651, 0.1784901187077842, -0.49662089720368385, -0.23353124214336277, 0.1090942873831161, 0.2044294897562147, 0.21332258814099161, -0.07237666529201141, -0.30931706096638334, -0.026727158670440655, -0.21529527580873534, -0.14001289332412523, -0.09002792989115485, -0.0038289800741371106, 0.00955445247871632, -0.2565973632418635, 0.1366669254784938, 0.011881881897253069, 0.09384194805540821, -0.1285328873793002, -0.1522013185947964, -0.10148636201735248, 0.010783272264101966, 0.0063293088841336696, 0.01333684489892965, 0.13257675505327907, -0.14268496492877603, -0.14606785960601304, 0.39385553307153964, -0.011381076181714888, -0.09185888374393636, 0.25189183045982977, -0.13470881668565032, -0.11039145138453353, 0.1787550936312817, 0.14796119691190227, 0.06765327107330615, -0.11207846358249134, 0.03781885733399328, -0.0028086158785630357, 0.17625658761032603, -0.013730139115994628, 0.057825004690411415, 0.2644585420123555, 0.2217708770439706, 0.042711914796382186, 0.18185616865415466, -0.10933557602534578, -0.164836277597351, -0.2387972832911394, -0.20970422350642778, -0.2029960163191638, -0.03158147779547355, -0.06733045273060932, -0.20139407951554114, 0.37089389832690356, 0.17544962828238073, 0.16376204769211736, -0.04794816076755524, 0.17759747068313034, 0.07951865604422478, 0.010439659934490919, -0.010863920995457606, 0.22924118300222537, 0.15944086734036153, 0.05804990571500226, -0.26824985991486094, 0.004654698939570649, 0.10089202629804442] |
712.2505 | Nonsmoothable group actions on elliptic surfaces | Let G be a cyclic group of order 3, 5 or 7, and X=E(n) be the relatively
minimal elliptic surface with rational base. In this paper, we prove that under
certain conditions on n, there exists a locally linear G-action on X which is
nonsmoothable with respect to infinitely many smooth structures on X. This
extends the main result of our previous paper.
| math.GT math.DG | let g be a cyclic group of order 3 5 or 7 and xen be the relatively minimal elliptic surface with rational base in this paper we prove that under certain conditions on n there exists a locally linear gaction on x which is nonsmoothable with respect to infinitely many smooth structures on x this extends the main result of our previous paper | [['let', 'g', 'be', 'a', 'cyclic', 'group', 'of', 'order', '3', '5', 'or', '7', 'and', 'xen', 'be', 'the', 'relatively', 'minimal', 'elliptic', 'surface', 'with', 'rational', 'base', 'in', 'this', 'paper', 'we', 'prove', 'that', 'under', 'certain', 'conditions', 'on', 'n', 'there', 'exists', 'a', 'locally', 'linear', 'gaction', 'on', 'x', 'which', 'is', 'nonsmoothable', 'with', 'respect', 'to', 'infinitely', 'many', 'smooth', 'structures', 'on', 'x', 'this', 'extends', 'the', 'main', 'result', 'of', 'our', 'previous', 'paper']] | [-0.20425099162532698, 0.10989301338318795, -0.0860789336914581, -0.03641523714436011, -0.053013061686965915, -0.15036913934385493, 0.003892613829867471, 0.37266610868068206, -0.2837493196868944, -0.24871224733827163, 0.12511754754213764, -0.24421773043771586, -0.1416098458603734, 0.21756775533440448, -0.1517897124091784, -0.017613340376151934, 0.048961213523788114, 0.11351077607463277, -0.08224157681171265, -0.3115630399080969, 0.38917991598801954, -0.08215474100813033, 0.1892196575312742, 0.061717215869095295, 0.1090003799551004, -0.014305131421202705, 0.030907023742440202, 0.027942679715268905, -0.1499930309943184, 0.1322361176892642, 0.2978674580771772, 0.02596129178779111, 0.2425262788458476, -0.37806664983786287, -0.19902522242554124, 0.21493633237800427, 0.08820213084774357, -0.01992454448722244, -0.03734610082825557, -0.19800450391180457, 0.21150639715294042, -0.16046388923294014, -0.14385170412678566, -0.016634608452607478, 0.03869394433226377, 0.02907682672911693, -0.27503348307477105, -0.03126917757271301, 0.13201131265137403, 0.1127822096681311, -0.018119414824815022, -0.09443520238652589, -0.05407601411247419, 0.04483567304273565, 0.024950794775837233, 0.14941581822044792, 0.04076573804819158, -0.01963732594860688, -0.07126346036850933, 0.37418562008274925, -0.08962661104964181, -0.2358871361329442, 0.2078561478900531, -0.1688026606090485, -0.1665240449439143, 0.13846863991033936, 0.13286597462045768, 0.1815904759846273, -0.04885586967603082, 0.19897051176170832, -0.14558193409844997, 0.1863192160787534, 0.10337589826020929, -0.0312330060978494, 0.10062520883031308, 0.11564172970293651, 0.17116380988394783, 0.0934001722350894, 0.008350698924106028, 0.013879097015079524, -0.3780999345675347, -0.1348584450870043, -0.09628465197729094, 0.1812313438304478, -0.0912261441835509, -0.1596159716062839, 0.368764099975427, 0.07268002605257881, 0.22904825416792715, 0.11226709746748269, 0.21282013318508805, 0.046146954019879186, 0.02242140377324725, 0.11361963579076387, 0.08214478001057629, 0.1483295751321647, -0.038951983778840966, -0.12337563270776873, 0.03229636282822679, 0.0877873790893881] |
712.2506 | A semi-implicit Hall-MHD solver using whistler wave preconditioning | The dispersive character of the Hall-MHD solutions, in particular the
whistler waves, is a strong restriction to numerical treatments of this system.
Numerical stability demands a time step dependence of the form $\Delta t\propto
(\Delta x)^2$ for explicit calculations. A new semi--implicit scheme for
integrating the induction equation is proposed and applied to a reconnection
problem. It it based on a fix point iteration with a physically motivated
preconditioning. Due to its convergence properties, short wavelengths converge
faster than long ones, thus it can be used as a smoother in a nonlinear
multigrid method.
| physics.comp-ph physics.flu-dyn physics.plasm-ph | the dispersive character of the hallmhd solutions in particular the whistler waves is a strong restriction to numerical treatments of this system numerical stability demands a time step dependence of the form delta tpropto delta x2 for explicit calculations a new semiimplicit scheme for integrating the induction equation is proposed and applied to a reconnection problem it it based on a fix point iteration with a physically motivated preconditioning due to its convergence properties short wavelengths converge faster than long ones thus it can be used as a smoother in a nonlinear multigrid method | [['the', 'dispersive', 'character', 'of', 'the', 'hallmhd', 'solutions', 'in', 'particular', 'the', 'whistler', 'waves', 'is', 'a', 'strong', 'restriction', 'to', 'numerical', 'treatments', 'of', 'this', 'system', 'numerical', 'stability', 'demands', 'a', 'time', 'step', 'dependence', 'of', 'the', 'form', 'delta', 'tpropto', 'delta', 'x2', 'for', 'explicit', 'calculations', 'a', 'new', 'semiimplicit', 'scheme', 'for', 'integrating', 'the', 'induction', 'equation', 'is', 'proposed', 'and', 'applied', 'to', 'a', 'reconnection', 'problem', 'it', 'it', 'based', 'on', 'a', 'fix', 'point', 'iteration', 'with', 'a', 'physically', 'motivated', 'preconditioning', 'due', 'to', 'its', 'convergence', 'properties', 'short', 'wavelengths', 'converge', 'faster', 'than', 'long', 'ones', 'thus', 'it', 'can', 'be', 'used', 'as', 'a', 'smoother', 'in', 'a', 'nonlinear', 'multigrid', 'method']] | [-0.12910904957258956, 0.04580017315976797, -0.1442731877707163, 0.07780500763700285, -0.11636738642118871, -0.16679394562689073, 0.03102240515278375, 0.35178616127752244, -0.2878199197807686, -0.23797878452596513, 0.11094211627223945, -0.2402069370727986, -0.11915214904683068, 0.25115027887736785, 0.00750972871282237, 0.08925916691882872, 0.09172627680806165, -0.026570670705466988, -0.09016535011060695, -0.21263670642176605, 0.24022548227135013, 0.0746107263133881, 0.24033024926184418, 0.01331672160093613, 0.10383333034932296, -0.086725348564598, 0.027101874098855446, 0.02392577557289537, -0.11229682230994978, 0.06333626975785901, 0.22178172193309095, 0.041056487233714856, 0.347952917639285, -0.436089577599171, -0.2329646137721361, 0.05378337016210277, 0.17157525346277558, 0.12792967235114663, -0.05712972387815132, -0.2436646015898503, 0.08561087570628746, -0.15004312157868704, -0.15655567703961812, -0.09142164311475774, 0.014411099928807704, 0.04412544737669065, -0.324681491600944, 0.07919976247370521, 0.07256719087215854, 0.013879485677805744, -0.07359525369495114, -0.06285248379138833, 0.026729876819522456, 0.035609172652178306, 0.08978514541733137, 0.056743220520265245, 0.06206910777837038, -0.1085253611474516, -0.04850509582444074, 0.39744960891201775, -0.070998733343855, -0.2718734314982244, 0.1763408159294681, -0.08496985080443878, -0.1029820612413769, 0.1892416772601056, 0.13958472225528973, 0.18904998666170905, -0.10978379836330746, 0.07720073418966693, -0.008811027302030237, 0.1831580049056743, 0.0827341712119573, -0.00883169215113083, 0.10476988291694841, 0.20069969322859368, 0.11597206459276656, 0.08971766992645497, -0.037356580297977844, -0.07364746596059821, -0.30875786405770067, -0.14679261713110386, -0.17075210279120043, 0.06387377936056161, -0.09831853713725688, -0.1911700432216055, 0.40285018337233347, 0.17154129989385763, 0.15787490228428802, 0.05801625071251963, 0.31226415076154346, 0.201624447181375, 0.0585091331369303, 0.10535036129480664, 0.19748491266658133, 0.16044522480583412, 0.14437886658421856, -0.26576736020518743, 0.0507438863835674, 0.13723301117189546] |
712.2507 | Dynamic structure factors of the spin-1/2 XX chain with
Dzyaloshinskii-Moriya interaction | We consider the spin-1/2 isotropic XY chain in a (z) transverse magnetic
field with the Dzyaloshinskii-Moriya interaction directed along the z-axis in
spin space and examine the effects of the latter interaction on the zz, xx (yy)
and xy (yx) dynamic structure factors. The Dzyaloshinskii-Moriya interaction
does not manifest itself in the zz dynamic quantities. In contrast, the xx (yy)
and xy (yx) dynamic structure factors show dramatical changes owing to the
Dzyaloshinskii-Moriya interaction. Implications of our results for electron
spin resonance experiments are briefly discussed.
| cond-mat.str-el cond-mat.stat-mech | we consider the spin12 isotropic xy chain in a z transverse magnetic field with the dzyaloshinskiimoriya interaction directed along the zaxis in spin space and examine the effects of the latter interaction on the zz xx yy and xy yx dynamic structure factors the dzyaloshinskiimoriya interaction does not manifest itself in the zz dynamic quantities in contrast the xx yy and xy yx dynamic structure factors show dramatical changes owing to the dzyaloshinskiimoriya interaction implications of our results for electron spin resonance experiments are briefly discussed | [['we', 'consider', 'the', 'spin12', 'isotropic', 'xy', 'chain', 'in', 'a', 'z', 'transverse', 'magnetic', 'field', 'with', 'the', 'dzyaloshinskiimoriya', 'interaction', 'directed', 'along', 'the', 'zaxis', 'in', 'spin', 'space', 'and', 'examine', 'the', 'effects', 'of', 'the', 'latter', 'interaction', 'on', 'the', 'zz', 'xx', 'yy', 'and', 'xy', 'yx', 'dynamic', 'structure', 'factors', 'the', 'dzyaloshinskiimoriya', 'interaction', 'does', 'not', 'manifest', 'itself', 'in', 'the', 'zz', 'dynamic', 'quantities', 'in', 'contrast', 'the', 'xx', 'yy', 'and', 'xy', 'yx', 'dynamic', 'structure', 'factors', 'show', 'dramatical', 'changes', 'owing', 'to', 'the', 'dzyaloshinskiimoriya', 'interaction', 'implications', 'of', 'our', 'results', 'for', 'electron', 'spin', 'resonance', 'experiments', 'are', 'briefly', 'discussed']] | [-0.23164721252396703, 0.21152254297441347, 0.04036478390700595, 0.11003757004496144, -0.10182713090203875, -0.1475283637761983, -0.0568555602451873, 0.44758061423551204, -0.3092730344316467, -0.2007501845567509, -0.02406151805527855, -0.30408536135977093, -0.08724578867698911, 0.12619752269021647, 0.13005374245843743, -0.05138516702775865, 0.034747363782899325, 0.03989639220932542, -0.10787178013679506, -0.2096067993268154, 0.26385450189889864, -0.034272356110430044, 0.23640441114819327, 0.07068023671461053, 0.039872662375442854, 0.15884942387847967, 0.06270335222659416, -0.020208652180329852, -0.1999235587616906, -0.0061890093972980925, 0.1577044211972375, -0.10260907600113992, 0.11489142792104462, -0.3981471796368444, -0.15833987907484867, 0.07473462392294476, 0.15096445748755752, 0.10226578343399735, 0.002619021852381614, -0.3260738914615886, -0.03484879907511302, -0.20167631793463991, -0.11437659306711583, -0.04076116676658912, 0.036334846457087455, 0.04610877308647993, -0.2923842101956198, 0.09890335705943493, 0.14687474289649102, 0.07083861066966228, -0.05267673729090453, -0.14689253557061907, -0.09431305421288884, 0.0656399677756654, 0.12059883623205256, 0.12543832003897012, 0.1306831463142623, -0.14252039847007497, -0.1831820079255416, 0.36317180924464104, -0.07692138310305255, -0.2215443471728196, 0.16265534528336206, -0.18696694678172124, -0.15297663158217314, 0.07858986819033013, 0.14802898190439093, 0.00716867072637691, -0.14524207001167544, 0.21412000662530772, 0.034226330950163135, 0.15683999547171731, -0.07698297808975588, 0.02640148112550378, 0.2251277915418668, 0.11842960446293271, 0.0013825111957483512, 0.14526100124524863, -0.13130512810041478, -0.1201279156754703, -0.242399885308344, -0.17309824521328473, -0.17817126775463654, 0.0657054290940598, -0.11239078813411842, -0.15116187933355915, 0.3928252239332556, 0.18847405806632936, 0.22748887086243824, -0.08073611047422123, 0.23884441331028938, 0.04793966540574031, 0.0005983116841593454, 0.05815199610972127, 0.2820741390852734, 0.2342713375597499, 0.10638942566786914, -0.3059986469032633, 0.08598386114030036, 0.0035371530210859207] |
712.2508 | Entanglement sharing in $E\otimes\epsilon$ Jahn-Teller model in the
presence of a magnetic field | We discuss the ground state entanglement of the $E\otimes\epsilon$
Jahn-Teller model in the presence of a strong transverse magnetic field as a
function of the vibronic coupling strength. A complete characterization is
given of the phenomenon of entanglement sharing in a system composed by a qubit
coupled to two bosonic modes. Using the residual $I$-tangle, we find that
three-partite entanglement is significantly present in the system in the
parameter region near the bifurcation point of the corresponding classical
model.
| quant-ph | we discuss the ground state entanglement of the eotimesepsilon jahnteller model in the presence of a strong transverse magnetic field as a function of the vibronic coupling strength a complete characterization is given of the phenomenon of entanglement sharing in a system composed by a qubit coupled to two bosonic modes using the residual itangle we find that threepartite entanglement is significantly present in the system in the parameter region near the bifurcation point of the corresponding classical model | [['we', 'discuss', 'the', 'ground', 'state', 'entanglement', 'of', 'the', 'eotimesepsilon', 'jahnteller', 'model', 'in', 'the', 'presence', 'of', 'a', 'strong', 'transverse', 'magnetic', 'field', 'as', 'a', 'function', 'of', 'the', 'vibronic', 'coupling', 'strength', 'a', 'complete', 'characterization', 'is', 'given', 'of', 'the', 'phenomenon', 'of', 'entanglement', 'sharing', 'in', 'a', 'system', 'composed', 'by', 'a', 'qubit', 'coupled', 'to', 'two', 'bosonic', 'modes', 'using', 'the', 'residual', 'itangle', 'we', 'find', 'that', 'threepartite', 'entanglement', 'is', 'significantly', 'present', 'in', 'the', 'system', 'in', 'the', 'parameter', 'region', 'near', 'the', 'bifurcation', 'point', 'of', 'the', 'corresponding', 'classical', 'model']] | [-0.21396116526531322, 0.15257450891507476, -0.044239837458574925, 0.023681803440142955, 0.03146634553861502, -0.13128182043430286, 0.06313052556671009, 0.3050924805779155, -0.24401440597199775, -0.252079038457437, 0.03189814948422423, -0.26677020582334177, -0.13660413477352107, 0.15272330908201537, 0.01921355681661698, 0.019168177208343108, 0.03501218428847368, 0.08213708533409547, -0.05075990477298665, -0.1563227860250982, 0.3582125442078361, 0.025385523389181267, 0.28171366549931565, 0.054292559768859446, 0.08414308524799424, 0.01484083231272442, 0.08687740005552769, 0.021352863719372395, -0.11774438706443224, 0.07557013571601022, 0.19815952244650137, 0.06769411479177365, 0.2553165579916208, -0.36533243025278117, -0.210511244785089, 0.09746982446907983, 0.13294485648383397, 0.1778844499162265, -0.005813965198958849, -0.29705252541930643, -0.003829444905247104, -0.17977798534799125, -0.1451145700721808, -0.06640692248142191, -0.03657522564602701, -0.02044942895216601, -0.27334104076499577, 0.11559862643480301, 0.07055359819069408, 0.08750490198371472, -0.07572648306558659, -0.015016653354267603, -0.06941936489243011, 0.09781544756555519, -0.001632439958342871, 0.039778782871201054, 0.11979959376591753, -0.16427179859564095, -0.1185096841269209, 0.3370016440023462, -0.09689947581160571, -0.17399775695003564, 0.17170116922201276, -0.15357842392517956, -0.08281618998954435, 0.12406486634455331, 0.14099799507817665, 0.10082728326223887, -0.12968729485987457, 0.08189387368522101, -0.04185989277751802, 0.19048264290262074, -0.017234424528266703, 0.11449745506072392, 0.22717231325805187, 0.16176995731188687, 0.06938261225480925, 0.26457925375502606, -0.11001151641105096, -0.13397652915884534, -0.3307533787636014, -0.15287981361949018, -0.21370067725611197, 0.04231004429037695, -0.08184180480077283, -0.16865440003888368, 0.4732050031072811, 0.1158456040157743, 0.19817432093542892, -0.029417373022282277, 0.2588443433648193, 0.12975938471681256, 0.059196464330345006, 0.04592893894779943, 0.3175920231824184, 0.1582493054281388, 0.07409822614863515, -0.32357665712570216, 0.004087298479560133, 0.06253966121244933] |
712.2509 | Local control of entanglement in a spin chain | In a ferromagnetic spin chain, the control of the local effective magnetic
field allows to manipulate the static and dynamical properties of entanglement.
In particular, the propagation of quantum correlations can be driven to a great
extent so as to achieve an entanglement transfer on demand toward a selected
site.
| quant-ph | in a ferromagnetic spin chain the control of the local effective magnetic field allows to manipulate the static and dynamical properties of entanglement in particular the propagation of quantum correlations can be driven to a great extent so as to achieve an entanglement transfer on demand toward a selected site | [['in', 'a', 'ferromagnetic', 'spin', 'chain', 'the', 'control', 'of', 'the', 'local', 'effective', 'magnetic', 'field', 'allows', 'to', 'manipulate', 'the', 'static', 'and', 'dynamical', 'properties', 'of', 'entanglement', 'in', 'particular', 'the', 'propagation', 'of', 'quantum', 'correlations', 'can', 'be', 'driven', 'to', 'a', 'great', 'extent', 'so', 'as', 'to', 'achieve', 'an', 'entanglement', 'transfer', 'on', 'demand', 'toward', 'a', 'selected', 'site']] | [-0.14436322539579124, 0.18563734376133653, -0.07284062726423145, 0.049238731749355794, -0.0542152751237154, -0.12488628667080776, 0.04303141610231251, 0.3989804008603096, -0.3152370737120509, -0.28646656576544044, 0.04996502572903409, -0.2610087473088061, -0.06936374165117741, 0.17973986310884357, 0.008884885478764773, 0.05473931882530451, -0.042392035869415846, 0.06859715776517987, -0.06207779666408896, -0.19585438802838326, 0.282817644784227, 0.0831959091569297, 0.31176174570806325, 0.08296083193272352, 0.09158976243808865, 0.04131552558392286, 0.08374006120546255, 0.06401158813387156, -0.09881373391486704, 0.1371590583026409, 0.22213804778642954, 0.03883474170230329, 0.26730601030401885, -0.45147127598524095, -0.2310287855239585, 0.09210081743076444, 0.17565478543750943, 0.20630964171141386, -0.05068993618478999, -0.2872079019248486, 0.03008429557085037, -0.17523795176297427, -0.15946701928973198, -0.1201197959901765, 0.0011031471122987567, 0.028684615977108478, -0.2875391910970211, 0.029724239825154656, 0.06246210866316687, 0.07697001488879324, -0.024149675212102012, 0.02477558963932097, -0.06087740339338779, 0.20101406496949495, -0.009912196472287178, 0.06640408491482958, 0.16585582696832715, -0.1744869489967823, -0.162755210287869, 0.3476588241383433, -0.05362316162092611, -0.19220350275281817, 0.1887884564930573, -0.12821557877759915, -0.08020560696721077, 0.0963423372618854, 0.20010635286569595, 0.10669890340417623, -0.17691114073619246, 0.038450977782486004, 0.02080385036766529, 0.19315999206155537, -0.009644914385862648, 0.1040218298882246, 0.28606738716363905, 0.14873471786733716, 0.12113036951050163, 0.21144187288125976, -0.11095068337861448, -0.15759642019867898, -0.21087833251804114, -0.18212077978998423, -0.22393622471950947, 0.11632878217846156, -0.06638316599623068, -0.16922086070291698, 0.4417074631154537, 0.20196276811127972, 0.16307251375168563, -0.04829997195862234, 0.24123463466763495, 0.09502244028961286, 0.08045148320496082, 0.03711112493649125, 0.2669275164604187, 0.17560563139617444, 0.12148782526142896, -0.2910368286073208, 0.07140527908690274, -0.010712613482028246] |
712.251 | Observing Zitterbewegung for photons near the Dirac point of a
two-dimensional photonic crystal | It is shown, for the first time, that the zitterbewegung of photon can appear
near the Dirac point in two-dimensional photonic crystal. The superiority of
such a phenomenon for photons is that it can be found in different scaling
structures with wide frequency regions. It can be observed by measuring the
time dependence of the transmission coefficient through photonic crystal slabs.
Thus, it is particularly suited for experimentally observing this effect. We
have observed such a phenomenon by exact numerical simulations, confirming a
long-standing theoretical prediction.
| physics.optics | it is shown for the first time that the zitterbewegung of photon can appear near the dirac point in twodimensional photonic crystal the superiority of such a phenomenon for photons is that it can be found in different scaling structures with wide frequency regions it can be observed by measuring the time dependence of the transmission coefficient through photonic crystal slabs thus it is particularly suited for experimentally observing this effect we have observed such a phenomenon by exact numerical simulations confirming a longstanding theoretical prediction | [['it', 'is', 'shown', 'for', 'the', 'first', 'time', 'that', 'the', 'zitterbewegung', 'of', 'photon', 'can', 'appear', 'near', 'the', 'dirac', 'point', 'in', 'twodimensional', 'photonic', 'crystal', 'the', 'superiority', 'of', 'such', 'a', 'phenomenon', 'for', 'photons', 'is', 'that', 'it', 'can', 'be', 'found', 'in', 'different', 'scaling', 'structures', 'with', 'wide', 'frequency', 'regions', 'it', 'can', 'be', 'observed', 'by', 'measuring', 'the', 'time', 'dependence', 'of', 'the', 'transmission', 'coefficient', 'through', 'photonic', 'crystal', 'slabs', 'thus', 'it', 'is', 'particularly', 'suited', 'for', 'experimentally', 'observing', 'this', 'effect', 'we', 'have', 'observed', 'such', 'a', 'phenomenon', 'by', 'exact', 'numerical', 'simulations', 'confirming', 'a', 'longstanding', 'theoretical', 'prediction']] | [-0.12409906710774182, 0.17855425606763295, -0.10332748806916264, 0.04337098869375971, -0.06002224158755569, -0.1309476319191501, 0.03231932311643695, 0.4446377721723429, -0.26284560883894215, -0.31469516512439694, 0.06049744020551876, -0.25844004989038544, -0.18924052804318625, 0.2605532476202, 0.03964746862563283, 0.09698556412856073, 0.03308566457180436, -0.02224363673608317, -0.027505966731845292, -0.18224526811824288, 0.2503943267213397, 0.09070002286340283, 0.323849547481121, 0.09171135419286615, 0.06548733105016656, -0.031422780526385356, 0.03312431686276267, 0.04858718841704865, -0.08959148948295394, 0.0035013292190553837, 0.29504082859683306, 0.01447339584444498, 0.23796534568591174, -0.3773644989529668, -0.27685489696125654, 0.08211034301365185, 0.18250718292357876, 0.13371489743355575, -0.10637587497314048, -0.2804449535906315, 0.07892298697342359, -0.10973165757943291, -0.1525349934615173, -0.07230287408023033, 0.019901796217011505, -0.027039487932830356, -0.22777510960694664, 0.09016307323174767, 0.006910318866112205, 0.008919652605559244, -0.030580405741496834, -0.03235704913128947, -0.013463050105370755, 0.0945490303159648, 0.025126212392933667, -0.010534334961638981, 0.08878720803511177, -0.08567687797327635, -0.1458163897095378, 0.43930307642535066, -0.04184305124244718, -0.19340816160852123, 0.1557484375594487, -0.20714216036072305, -0.056074864231050014, 0.15095406162097705, 0.1043537896340388, 0.09467877247262486, -0.10198852433795975, 0.03950637702418621, -0.10133925437667342, 0.1571923574357602, 0.07548067886598928, 0.06864626078086711, 0.2558339973911643, 0.20426395942651948, 0.0062199410803746, 0.13962704868348272, -0.12849638528775337, -0.0734208460821402, -0.25622876005810363, -0.1708026608021735, -0.22944603870124664, 0.04031434118866834, -0.09253119254419796, -0.13988263488085237, 0.3951797605665444, 0.15252618174891658, 0.17987576945749825, -0.012375644261970423, 0.2657386157878263, 0.17768606199168188, 0.11193313144775498, 0.028473685506384735, 0.31048367421554274, 0.1031556794755594, 0.09173377545355538, -0.25125923219440116, 0.09119939625866949, -0.027395589910664184] |
712.2511 | Second-order power spectra of CMB anisotropies due to primordial random
perturbations in flat cosmological models | Second-order power spectra of Cosmic Microwave Background (CMB) anisotropies
due to random primordial perturbations at the matter dominant stage are
studied, based on the relativistic second-order theory of perturbations in flat
cosmological models and on the second-order formula of CMB anisotropies derived
by Mollerach and Matarrese. So far the second-order integrated Sachs-Wolfe
effect has been analyzed using the three-point correlation or bispectrum. In
this paper we derive the second-order term of power spectra given using the
two-point correlation of temperature fluctuations.
The second-order density perturbations are small, compared with the
first-order ones. The second-order power spectra of CMB anisotropies, however,
are not small at all, compared with the first-order power spectra, because at
the early stage the first-order integrated Sachs-Wolfe effect is very small and
the second-order integrated Sachs-Wolfe effect may be dominant over the
first-order ones. So their characteristic behaviors may be measured through the
future precise observation and bring useful informations on the structure and
evolution of our universe in the future.
| astro-ph | secondorder power spectra of cosmic microwave background cmb anisotropies due to random primordial perturbations at the matter dominant stage are studied based on the relativistic secondorder theory of perturbations in flat cosmological models and on the secondorder formula of cmb anisotropies derived by mollerach and matarrese so far the secondorder integrated sachswolfe effect has been analyzed using the threepoint correlation or bispectrum in this paper we derive the secondorder term of power spectra given using the twopoint correlation of temperature fluctuations the secondorder density perturbations are small compared with the firstorder ones the secondorder power spectra of cmb anisotropies however are not small at all compared with the firstorder power spectra because at the early stage the firstorder integrated sachswolfe effect is very small and the secondorder integrated sachswolfe effect may be dominant over the firstorder ones so their characteristic behaviors may be measured through the future precise observation and bring useful informations on the structure and evolution of our universe in the future | [['secondorder', 'power', 'spectra', 'of', 'cosmic', 'microwave', 'background', 'cmb', 'anisotropies', 'due', 'to', 'random', 'primordial', 'perturbations', 'at', 'the', 'matter', 'dominant', 'stage', 'are', 'studied', 'based', 'on', 'the', 'relativistic', 'secondorder', 'theory', 'of', 'perturbations', 'in', 'flat', 'cosmological', 'models', 'and', 'on', 'the', 'secondorder', 'formula', 'of', 'cmb', 'anisotropies', 'derived', 'by', 'mollerach', 'and', 'matarrese', 'so', 'far', 'the', 'secondorder', 'integrated', 'sachswolfe', 'effect', 'has', 'been', 'analyzed', 'using', 'the', 'threepoint', 'correlation', 'or', 'bispectrum', 'in', 'this', 'paper', 'we', 'derive', 'the', 'secondorder', 'term', 'of', 'power', 'spectra', 'given', 'using', 'the', 'twopoint', 'correlation', 'of', 'temperature', 'fluctuations', 'the', 'secondorder', 'density', 'perturbations', 'are', 'small', 'compared', 'with', 'the', 'firstorder', 'ones', 'the', 'secondorder', 'power', 'spectra', 'of', 'cmb', 'anisotropies', 'however', 'are', 'not', 'small', 'at', 'all', 'compared', 'with', 'the', 'firstorder', 'power', 'spectra', 'because', 'at', 'the', 'early', 'stage', 'the', 'firstorder', 'integrated', 'sachswolfe', 'effect', 'is', 'very', 'small', 'and', 'the', 'secondorder', 'integrated', 'sachswolfe', 'effect', 'may', 'be', 'dominant', 'over', 'the', 'firstorder', 'ones', 'so', 'their', 'characteristic', 'behaviors', 'may', 'be', 'measured', 'through', 'the', 'future', 'precise', 'observation', 'and', 'bring', 'useful', 'informations', 'on', 'the', 'structure', 'and', 'evolution', 'of', 'our', 'universe', 'in', 'the', 'future']] | [-0.1176252788521258, 0.11384364497487896, -0.12890554423175432, 0.10559328755169559, -0.07362958253789807, -0.06077066798654436, -0.11795037108947712, 0.32099149083615813, -0.25986866502268413, -0.27267801455019236, 0.07740266499769491, -0.34585745922901145, -0.08828219438423088, 0.19144885096858982, 0.07318839228546327, 0.049629392279483424, -0.02966580535942243, 0.010035620748059698, -0.06805949814709052, -0.25674525835191364, 0.32142486065223336, 0.18275189489994678, 0.29193018325975884, 0.0222237022005113, 0.06303352268664109, -0.0562910321254306, -0.09418313276091236, 0.08719457543392214, -0.11143626045811339, 0.043497189820852655, 0.22848106788182893, 0.07525128960406602, 0.18488795464669863, -0.4223518636351897, -0.21882598722022187, 0.13533060192101937, 0.11623745377495473, 0.1693480989318684, -0.03694109109578871, -0.30227762367004996, 0.06757205258662087, -0.1436926766178725, -0.051002046793265025, -0.08809545799444195, -0.026032191177007336, -0.0028236008204942558, -0.2471008941411909, 0.15473342439633983, 0.0374835974738956, 0.05253637522499026, -0.024947806398607105, -0.12112556040241308, -0.04235377886184017, 0.06744021711373942, 0.020341612802864128, -0.01964036343216416, 0.13405565448402446, -0.11916924925503876, -0.048373884069333364, 0.39667347140618786, -0.16681801165494084, -0.10151479272114719, 0.08209575284443842, -0.2013548813000367, -0.13186708050408613, 0.12708765647282674, 0.20304043309411685, 0.10847744263959991, -0.15168996483260377, 0.10628233444726987, 0.1209899419711537, 0.19292272405807454, 0.08561993087784736, 0.08810737558806235, 0.315851466855937, 0.06431537303727897, 0.03254105134987118, 0.11370083559204487, -0.09947699913326537, -0.06363197184093525, -0.31959503847660004, -0.019315947437490353, -0.170272342170063, 0.032289784477450144, -0.13961459874513665, -0.17184474176235862, 0.3820726111919785, 0.12779709728908914, 0.19827215226961334, 0.08735236956058012, 0.34899545495792583, 0.19253534566328226, 0.04074791974982281, 0.04412390785206086, 0.3387104871345718, 0.16350147541915208, 0.15731156279370073, -0.2599836909383581, 0.08750741357166618, 0.008525922904476707] |
712.2512 | Search for $f_1(1285) \to \pi^+\pi^-\pi^0$ decay with VES detector | The isospin violating decay $f_1(1285)\to\pi^+\pi^-\pi^0$ has been studied at
VES facility. This study is based at the statistics acquired in $\pi^- Be$
interactions at 27, 36.6 and 41 GeV/c in diffractive reaction $\pi^- N \to (f_1
\pi^-) N$. The $f_1(1285) \to \pi^+\pi^-\pi^0$ decay is observed. The ratio of
decay probabilities $BR(f_1(1285) \to \pi^+\pi^-\pi^0)$ to $BR(f_1(1285) \to
\eta \pi^+\pi^-) \cdot BR(\eta \to \gamma\gamma)$ is $\sim\:1.4%$.
| hep-ex | the isospin violating decay f_11285topipipi0 has been studied at ves facility this study is based at the statistics acquired in pi be interactions at 27 366 and 41 gevc in diffractive reaction pi n to f_1 pi n the f_11285 to pipipi0 decay is observed the ratio of decay probabilities brf_11285 to pipipi0 to brf_11285 to eta pipi cdot breta to gammagamma is sim14 | [['the', 'isospin', 'violating', 'decay', 'f_11285topipipi0', 'has', 'been', 'studied', 'at', 'ves', 'facility', 'this', 'study', 'is', 'based', 'at', 'the', 'statistics', 'acquired', 'in', 'pi', 'be', 'interactions', 'at', '27', '366', 'and', '41', 'gevc', 'in', 'diffractive', 'reaction', 'pi', 'n', 'to', 'f_1', 'pi', 'n', 'the', 'f_11285', 'to', 'pipipi0', 'decay', 'is', 'observed', 'the', 'ratio', 'of', 'decay', 'probabilities', 'brf_11285', 'to', 'pipipi0', 'to', 'brf_11285', 'to', 'eta', 'pipi', 'cdot', 'breta', 'to', 'gammagamma', 'is', 'sim14']] | [-0.07887435359422301, 0.26898455175525343, -0.12108752526272257, 0.0875094923396885, -8.959671268697645e-05, -0.15598083782147187, 0.06826543433927611, 0.30718732655781217, -0.2035721128684331, -0.25426796472585594, -0.09176225055650365, -0.4166118289481421, 0.06761533145594303, 0.10326108348662735, 0.10667593242814306, 0.1364497077941406, 0.020138228709091904, 0.0645409541635881, -0.013631338200180745, -0.18809474723749472, 0.18313369119814674, 0.0599620515389032, 0.21677166799113887, 0.1149289116690882, -0.040894152947747314, 0.008156348303242847, -0.021731398587466262, -0.1672485804960101, -0.19095685741898497, -0.008994192327754419, 0.2988566406010116, 0.061214419754296465, 0.08274023550119801, -0.2692763156364443, 0.01040118764780584, 0.1828142086188996, 0.20880641047766463, -0.01825311062399481, 0.06203220789244429, -0.3595335392937919, 0.20146534004111272, -0.1471763069619287, -0.07247577406099585, -0.005719938429958019, 0.14076142992393006, -0.11115799591204793, -0.4039960930459812, 0.05888967139676946, -0.08969258618556329, 0.0788499788976595, 0.029524959455870213, -0.287904968088279, 0.041706328494016266, 0.024816492625863336, 0.1276316176222057, 0.17092522439312144, 0.16748196799613413, -0.05556777365062936, -0.11526335284236025, 0.3688042706640086, -0.0483289922389095, -0.15679157890959597, 0.09280004323704442, -0.2495096456412165, -0.16766802975755246, 0.2932562720656517, 0.21863585925035056, 0.03718429483610709, -0.1953546595530676, 0.1223216349493758, 0.008489636857001508, 0.1990467680037999, 0.15361000727251417, 0.04758225524412529, 0.07319575755811128, 0.19137323008025767, -0.08900908898317912, 0.04481426530067244, -0.14923637342013296, -0.041649205285719915, -0.33272548732118773, -0.12177027465745074, -0.058907200931571424, 0.17363726096533116, 0.01992274678076549, 0.019151340452496144, 0.2656511734926798, -0.0416561261155322, 0.29387752042289395, 0.023755732706183048, 0.2752975543014339, 0.13719803216241178, 0.03880433897777903, 0.04797857492917874, 0.2964322210946044, 0.23728353617193756, 0.13712897566986865, -0.3073094587727282, 0.07206685141064838, -0.013438768158132424] |
712.2513 | Atypical Thermonuclear Supernovae from Tidally Crushed White Dwarfs | Suggestive evidence has accumulated that intermediate mass black holes (IMBH)
exist in some globular clusters. As stars diffuse in the cluster, some will
inevitable wander sufficiently close to the hole that they suffer tidal
disruption. An attractive feature of the IMBH hypothesis is its potential to
disrupt not only solar-type stars but also compact white dwarf stars. Attention
is given to the fate of white dwarfs that approach the hole close enough to be
disrupted and compressed to such extent that explosive nuclear burning may be
triggered. Precise modeling of the dynamics of the encounter coupled with a
nuclear network allow for a realistic determination of the explosive energy
release, and it is argued that ignition is a natural outcome for white dwarfs
of all varieties passing well within the tidal radius. Although event rates are
estimated to be significantly less than the rate of normal Type Ia supernovae,
such encounters may be frequent enough in globular clusters harboring an IMBH
to warrant a search for this new class of supernova.
| astro-ph | suggestive evidence has accumulated that intermediate mass black holes imbh exist in some globular clusters as stars diffuse in the cluster some will inevitable wander sufficiently close to the hole that they suffer tidal disruption an attractive feature of the imbh hypothesis is its potential to disrupt not only solartype stars but also compact white dwarf stars attention is given to the fate of white dwarfs that approach the hole close enough to be disrupted and compressed to such extent that explosive nuclear burning may be triggered precise modeling of the dynamics of the encounter coupled with a nuclear network allow for a realistic determination of the explosive energy release and it is argued that ignition is a natural outcome for white dwarfs of all varieties passing well within the tidal radius although event rates are estimated to be significantly less than the rate of normal type ia supernovae such encounters may be frequent enough in globular clusters harboring an imbh to warrant a search for this new class of supernova | [['suggestive', 'evidence', 'has', 'accumulated', 'that', 'intermediate', 'mass', 'black', 'holes', 'imbh', 'exist', 'in', 'some', 'globular', 'clusters', 'as', 'stars', 'diffuse', 'in', 'the', 'cluster', 'some', 'will', 'inevitable', 'wander', 'sufficiently', 'close', 'to', 'the', 'hole', 'that', 'they', 'suffer', 'tidal', 'disruption', 'an', 'attractive', 'feature', 'of', 'the', 'imbh', 'hypothesis', 'is', 'its', 'potential', 'to', 'disrupt', 'not', 'only', 'solartype', 'stars', 'but', 'also', 'compact', 'white', 'dwarf', 'stars', 'attention', 'is', 'given', 'to', 'the', 'fate', 'of', 'white', 'dwarfs', 'that', 'approach', 'the', 'hole', 'close', 'enough', 'to', 'be', 'disrupted', 'and', 'compressed', 'to', 'such', 'extent', 'that', 'explosive', 'nuclear', 'burning', 'may', 'be', 'triggered', 'precise', 'modeling', 'of', 'the', 'dynamics', 'of', 'the', 'encounter', 'coupled', 'with', 'a', 'nuclear', 'network', 'allow', 'for', 'a', 'realistic', 'determination', 'of', 'the', 'explosive', 'energy', 'release', 'and', 'it', 'is', 'argued', 'that', 'ignition', 'is', 'a', 'natural', 'outcome', 'for', 'white', 'dwarfs', 'of', 'all', 'varieties', 'passing', 'well', 'within', 'the', 'tidal', 'radius', 'although', 'event', 'rates', 'are', 'estimated', 'to', 'be', 'significantly', 'less', 'than', 'the', 'rate', 'of', 'normal', 'type', 'ia', 'supernovae', 'such', 'encounters', 'may', 'be', 'frequent', 'enough', 'in', 'globular', 'clusters', 'harboring', 'an', 'imbh', 'to', 'warrant', 'a', 'search', 'for', 'this', 'new', 'class', 'of', 'supernova']] | [-0.09172777936260124, 0.13981625083061236, -0.07537149517301317, 0.180518173424075, -0.14645837016991878, -0.09233206992271786, 0.08910254580860587, 0.3643714968654278, -0.19011980562868436, -0.30590059366403966, 0.07972528478770642, -0.29436307562221037, -0.06692797217071492, 0.22432693442444138, -0.09923060917250753, -0.04950621403101559, 0.16247997612131443, 0.05112234589116844, -0.04279845621782676, -0.28635680236396166, 0.31813037686175205, 0.09222785576263018, 0.12667786545250892, -0.049705825230700364, 0.020673210697237685, -0.10190772778376371, 0.005116898724428046, -0.02463637930490839, -0.12422217450167457, 0.005127382180816902, 0.26639616841200825, 0.1643068201483189, 0.25692136606953125, -0.42147343760432554, -0.2662943608988055, 0.1334418454997198, 0.22124136996602542, 0.10791012783836415, -0.15311354764312374, -0.26455079220311595, 0.1430112388099364, -0.2733276588107018, -0.18246423236600923, 0.005843279689920751, 0.09338043718532406, 0.045907292896282606, -0.25721732838820033, 0.13598769998000199, 0.10960888535898092, -0.02539459357245101, -0.11437661952015056, -0.06040754501724191, -0.03428093564685717, 0.0858985183090625, 0.07222177095204722, 0.06987290140459237, 0.1834566911758395, -0.12428490508059094, 0.007546290158898684, 0.3931665142983803, -0.006654821678452134, -0.05109804010356379, 0.27141355714973125, -0.19632318692842815, -0.14975951428454348, 0.1507130342083629, 0.17902082988273418, 0.12958357486552533, -0.18136932357260005, -0.020730380304511745, 0.028604798972721033, 0.17545354547937625, 0.07452349315876719, 0.05878154888439533, 0.36839952744129634, 0.17637760392444654, 0.049006667549787254, 0.04517614225481163, -0.17885239377661408, -0.07442839400385294, -0.2167534985407991, -0.09081834435125279, -0.15034504560549466, 0.106927568655361, -0.1075862628870374, -0.1856276112219199, 0.260471957713932, 0.10009909948818821, 0.2085852264154332, -0.042806242057530766, 0.24109050310847002, 0.06633114073308435, 0.13427463533868741, 0.12370601463627223, 0.3082561693525307, 0.17119780871254658, 0.04831376829734671, -0.22735570818805326, 0.10406337286296644, -0.008666346049785875] |
712.2514 | Higgs Decay To \bar{b}b: Different Approaches To Resummation Of QCD
Effects | The comparison between parameterisations of the perturbation results for the
decay width of the Standard Model Higgs boson to \bar{b}b-quarks pairs, based
on application of \bar{MS}-scheme running quark mass and pole b-quark mass, are
presented. In the case of the latter parameterisation taking into account of
order O(\alpha_s^3) term is rather important. It is minimising deviations of
the results obtained at the O(\alpha_s^2) level from the results, which follow
from the running quark mass approach
| hep-ph | the comparison between parameterisations of the perturbation results for the decay width of the standard model higgs boson to barbbquarks pairs based on application of barmsscheme running quark mass and pole bquark mass are presented in the case of the latter parameterisation taking into account of order oalpha_s3 term is rather important it is minimising deviations of the results obtained at the oalpha_s2 level from the results which follow from the running quark mass approach | [['the', 'comparison', 'between', 'parameterisations', 'of', 'the', 'perturbation', 'results', 'for', 'the', 'decay', 'width', 'of', 'the', 'standard', 'model', 'higgs', 'boson', 'to', 'barbbquarks', 'pairs', 'based', 'on', 'application', 'of', 'barmsscheme', 'running', 'quark', 'mass', 'and', 'pole', 'bquark', 'mass', 'are', 'presented', 'in', 'the', 'case', 'of', 'the', 'latter', 'parameterisation', 'taking', 'into', 'account', 'of', 'order', 'oalpha_s3', 'term', 'is', 'rather', 'important', 'it', 'is', 'minimising', 'deviations', 'of', 'the', 'results', 'obtained', 'at', 'the', 'oalpha_s2', 'level', 'from', 'the', 'results', 'which', 'follow', 'from', 'the', 'running', 'quark', 'mass', 'approach']] | [-0.05393474964374626, 0.1379514542169164, -0.1089437785054985, 0.13328182600073618, -0.041719530356695525, -0.07506514378395435, 0.05236837440296202, 0.301952229032444, -0.16980711523619657, -0.3161172259699654, 0.03627190959948191, -0.29183337223288175, -0.0011514910320575174, 0.20435728189044608, 0.07057009667246225, 0.07177758938003634, 0.10299086663872004, 0.038337395753006674, -0.06991507197302338, -0.2498773399211869, 0.3556221501675208, 0.03744967420258232, 0.20817939529346452, 0.1102840391308623, 0.052338708934651035, 0.028679629193927237, -0.08173513193488927, -0.07091894110261991, -0.11105152080661454, 0.07751044099898757, 0.12413268981381899, 0.05700496382180702, 0.15070520384186828, -0.31844818310157674, -0.10206920236059641, 0.062582336256054, 0.1076087862366458, 0.09371321671485044, -0.023025339521228563, -0.29413746898628873, 0.09474566728789108, -0.20013951607098854, -0.11749973510568207, -0.031638830645337096, -0.05682922675702218, -0.058823146983175666, -0.35480454148775015, 0.11066054931379275, -0.010988485458231455, -0.02764540568396852, -0.0226878707888662, -0.22057441443934836, -0.0669951005398321, 0.1141799056738917, 0.1861587236556728, 0.05602831357808444, 0.14898778326066867, -0.16481601859984063, -0.10953450813335744, 0.43588753341621644, -0.11338699023346291, -0.1739145353707057, 0.11880303242533291, -0.16447278830172443, -0.12608244838318913, 0.12876043778315588, 0.20421916424498163, 0.06289839674718678, -0.16725228429847472, 0.15117203009966132, -0.013531360844452237, 0.1679469558938935, 0.07107668254851691, 0.030935933951892564, 0.18677531974704786, 0.20023398066405207, -0.005028087670939999, 0.05948436914351643, -0.06754383132981791, -0.160650211512237, -0.4073685679484058, -0.09859275854998142, -0.1263643523262864, 0.011381618288421148, -0.12596357112724454, -0.12099073487459808, 0.41010058479937345, 0.13644262302566218, 0.24861679315516674, 0.09181268717244116, 0.3407391936996499, 0.1706498363826147, 0.12775638289246205, 0.048891774806621914, 0.29140745030992943, 0.17764425359515323, 0.09041750544959025, -0.24962537318493264, 0.013379594235605485, 0.13156887517008628] |
712.2515 | Fractional moment bounds and disorder relevance for pinning models | We study the critical point of directed pinning/wetting models with quenched
disorder. The distribution K(.) of the location of the first contact of the
(free) polymer with the defect line is assumed to be of the form
K(n)=n^{-\alpha-1}L(n), with L(.) slowly varying. The model undergoes a
(de)-localization phase transition: the free energy (per unit length) is zero
in the delocalized phase and positive in the localized phase. For \alpha<1/2 it
is known that disorder is irrelevant: quenched and annealed critical points
coincide for small disorder, as well as quenched and annealed critical
exponents. The same has been proven also for \alpha=1/2, but under the
assumption that L(.) diverges sufficiently fast at infinity, an hypothesis that
is not satisfied in the (1+1)-dimensional wetting model considered by Forgacs
et al. (1986) and Derrida et al. (1992), where L(.) is asymptotically constant.
Here we prove that, if 1/2<\alpha<1 or \alpha >1, then quenched and annealed
critical points differ whenever disorder is present, and we give the scaling
form of their difference for small disorder. In agreement with the so-called
Harris criterion, disorder is therefore relevant in this case. In the marginal
case \alpha=1/2, under the assumption that L(.) vanishes sufficiently fast at
infinity, we prove that the difference between quenched and annealed critical
points, which is known to be smaller than any power of the disorder strength,
is positive: disorder is marginally relevant. Again, the case considered by
Forgacs et al. (1986) and Derrida et al. (1992) is out of our analysis and
remains open.
| math.PR cond-mat.dis-nn | we study the critical point of directed pinningwetting models with quenched disorder the distribution k of the location of the first contact of the free polymer with the defect line is assumed to be of the form knnalpha1ln with l slowly varying the model undergoes a delocalization phase transition the free energy per unit length is zero in the delocalized phase and positive in the localized phase for alpha12 it is known that disorder is irrelevant quenched and annealed critical points coincide for small disorder as well as quenched and annealed critical exponents the same has been proven also for alpha12 but under the assumption that l diverges sufficiently fast at infinity an hypothesis that is not satisfied in the 11dimensional wetting model considered by forgacs et al 1986 and derrida et al 1992 where l is asymptotically constant here we prove that if 12alpha1 or alpha 1 then quenched and annealed critical points differ whenever disorder is present and we give the scaling form of their difference for small disorder in agreement with the socalled harris criterion disorder is therefore relevant in this case in the marginal case alpha12 under the assumption that l vanishes sufficiently fast at infinity we prove that the difference between quenched and annealed critical points which is known to be smaller than any power of the disorder strength is positive disorder is marginally relevant again the case considered by forgacs et al 1986 and derrida et al 1992 is out of our analysis and remains open | [['we', 'study', 'the', 'critical', 'point', 'of', 'directed', 'pinningwetting', 'models', 'with', 'quenched', 'disorder', 'the', 'distribution', 'k', 'of', 'the', 'location', 'of', 'the', 'first', 'contact', 'of', 'the', 'free', 'polymer', 'with', 'the', 'defect', 'line', 'is', 'assumed', 'to', 'be', 'of', 'the', 'form', 'knnalpha1ln', 'with', 'l', 'slowly', 'varying', 'the', 'model', 'undergoes', 'a', 'delocalization', 'phase', 'transition', 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712.2516 | Purely electromagnetic spacetimes | Electrovacuum solutions devoid of usual mass sources are classified in the
case of one, two and three commuting Killing vectors. Three branches of
solutions exist. Electromagnetically induced mass terms appear in some of them.
| gr-qc | electrovacuum solutions devoid of usual mass sources are classified in the case of one two and three commuting killing vectors three branches of solutions exist electromagnetically induced mass terms appear in some of them | [['electrovacuum', 'solutions', 'devoid', 'of', 'usual', 'mass', 'sources', 'are', 'classified', 'in', 'the', 'case', 'of', 'one', 'two', 'and', 'three', 'commuting', 'killing', 'vectors', 'three', 'branches', 'of', 'solutions', 'exist', 'electromagnetically', 'induced', 'mass', 'terms', 'appear', 'in', 'some', 'of', 'them']] | [-0.24709850018296173, 0.17108884941348257, 0.05177811815348618, 0.10739849964567624, -0.05288994695772143, -0.11045275134315222, -0.07107942578766276, 0.33630289279801007, -0.17864431401112063, -0.278467372936361, 0.1111860476042185, -0.3633498649167664, -0.08361044698668753, 0.1692553457310971, -0.00779313558493467, 0.015349875724710086, 0.03061951748917208, 0.08889999062589862, -0.060300476356026006, -0.2562732510268688, 0.4632355071165982, -0.1809235217070262, 0.24565505499348922, -0.060258945066700965, 0.11142249568365514, -0.10784706751377705, -0.04055718773537699, 0.008769159369608936, -0.07987582446623813, 0.038809150731300604, 0.24706383690457134, 0.1625393782468403, 0.18656080939313946, -0.40731491422390237, -0.1486787390381591, 0.17702783403151176, 0.20338937151245773, 0.09099912922144593, -0.07244019645868856, -0.2764058639500838, 0.009921209557968028, -0.1585466831045992, -0.22202050751622984, -0.05578019582282971, -0.01868507605703438, 0.017145999447059107, -0.18373618577606976, 0.13221180827959494, 0.1121174575870528, -0.002613686244277393, -0.20153636982500114, -0.14823330493527465, -0.07742200989057035, 0.08887918108581182, 0.12678977222565344, -0.07012092305676025, 0.08737374792861588, -0.12356272002901225, -0.17718890375074217, 0.3719223728951286, -0.03209879282204544, -0.28133508643847616, 0.2311467783909072, -0.14733798567013925, -0.12497858975685257, 0.14954604435821667, 0.10064031964387088, 0.20181545234449647, -0.20277804144493797, 0.06365913294961073, -0.031395602971315384, 0.01863898046533851, 0.22233852794777384, 0.10425980953390107, 0.2686572142821901, 0.01843297344577663, 0.026318858541986522, 0.08624825696460903, -6.362929450594547e-05, -0.13362535275518894, -0.3267206018242766, -0.1157169798936914, -0.07801295762114666, 0.07480122173643287, -0.14025309127164826, -0.18494325614472687, 0.42099576917312603, 0.07216298865044818, 0.2008875665419242, -0.037238015190643424, 0.2079048564328867, 0.07694234586019508, 0.09071635794551934, 0.1146933034144561, 0.3096661508701372, 0.15125964028651223, 0.017016495961476776, -0.14617355054018416, -0.072007499390405, 0.09243023732457967] |
712.2517 | Macroscopic Treatment of Radio Emission from Cosmic Ray Air Showers
based on Shower Simulations | We present a macroscopic calculation of coherent electro-magnetic radiation
from air showers initiated by ultra-high energy cosmic rays, based on currents
obtained from Monte Carlo simulations of air showers in a realistic
geo-magnetic field. We can clearly relate the time signal to the time
dependence of the currents. We find that the the most important contribution to
the pulse is related to the time variation of the currents. For showers forming
a sufficiently large angle with the magnetic field, the contribution due to the
currents induced by the geo-magnetic field is dominant, but neither the charge
excess nor the dipole contribution can be neglected. We find a characteristic
bipolar signal. In our calculations, we take into account a realistic index of
refraction, whose importance depends on the impact parameter and the
inclination. Also very important is the role of the positive ions.
| astro-ph hep-ph | we present a macroscopic calculation of coherent electromagnetic radiation from air showers initiated by ultrahigh energy cosmic rays based on currents obtained from monte carlo simulations of air showers in a realistic geomagnetic field we can clearly relate the time signal to the time dependence of the currents we find that the the most important contribution to the pulse is related to the time variation of the currents for showers forming a sufficiently large angle with the magnetic field the contribution due to the currents induced by the geomagnetic field is dominant but neither the charge excess nor the dipole contribution can be neglected we find a characteristic bipolar signal in our calculations we take into account a realistic index of refraction whose importance depends on the impact parameter and the inclination also very important is the role of the positive ions | [['we', 'present', 'a', 'macroscopic', 'calculation', 'of', 'coherent', 'electromagnetic', 'radiation', 'from', 'air', 'showers', 'initiated', 'by', 'ultrahigh', 'energy', 'cosmic', 'rays', 'based', 'on', 'currents', 'obtained', 'from', 'monte', 'carlo', 'simulations', 'of', 'air', 'showers', 'in', 'a', 'realistic', 'geomagnetic', 'field', 'we', 'can', 'clearly', 'relate', 'the', 'time', 'signal', 'to', 'the', 'time', 'dependence', 'of', 'the', 'currents', 'we', 'find', 'that', 'the', 'the', 'most', 'important', 'contribution', 'to', 'the', 'pulse', 'is', 'related', 'to', 'the', 'time', 'variation', 'of', 'the', 'currents', 'for', 'showers', 'forming', 'a', 'sufficiently', 'large', 'angle', 'with', 'the', 'magnetic', 'field', 'the', 'contribution', 'due', 'to', 'the', 'currents', 'induced', 'by', 'the', 'geomagnetic', 'field', 'is', 'dominant', 'but', 'neither', 'the', 'charge', 'excess', 'nor', 'the', 'dipole', 'contribution', 'can', 'be', 'neglected', 'we', 'find', 'a', 'characteristic', 'bipolar', 'signal', 'in', 'our', 'calculations', 'we', 'take', 'into', 'account', 'a', 'realistic', 'index', 'of', 'refraction', 'whose', 'importance', 'depends', 'on', 'the', 'impact', 'parameter', 'and', 'the', 'inclination', 'also', 'very', 'important', 'is', 'the', 'role', 'of', 'the', 'positive', 'ions']] | [-0.14846961732632416, 0.2324996531603228, -0.08024930594239751, 0.10521969048660511, -0.04831215288017837, 0.008473448170034188, -0.007466974383725089, 0.39387354637745403, -0.21789944594689895, -0.3276386105940795, 0.0345368474134913, -0.26058349162208994, -0.10857246626942406, 0.19426552168729808, 0.03049262343171302, -0.027736143005723263, 0.05159818262032325, -0.006169805677056732, -0.015159333719950641, -0.13008980659282648, 0.2927134986179815, 0.15496891323791842, 0.2515847862068511, 0.13463622950752016, 0.10477093303195713, 0.0033971741484005898, -0.056209960089943986, 0.04203330261737738, -0.09471720678127792, 0.06796959242422763, 0.19711292336996591, 0.04730987951362794, 0.18852449751878814, -0.47523385874638463, -0.21203391552364953, 0.12390696986670226, 0.09697389895687517, 0.10741627535743403, -0.09076951328061626, -0.2623826672624744, 0.05496677206698018, -0.1505857830175238, -0.1293262311390234, -0.005269603561085295, -0.014186440292306401, 0.020430692320715794, -0.28102405076111914, 0.06224447473843457, 0.025963745361954813, 0.04856378996770781, -0.04833358347835675, -0.12180398309498396, -0.02445043906451426, 0.13053410509224114, 0.12592808823314378, 0.05931125783351657, 0.18750385181079815, -0.13672465858259567, -0.0881624444138626, 0.3784831380996276, -0.09141241172722107, -0.16457399622615898, 0.13441348809283227, -0.2242261491532267, -0.0894805360454279, 0.2359141338629727, 0.17107373701316686, 0.1078431494730774, -0.13072580533285796, 0.0635711767929639, 0.017751613385896658, 0.1675508265927906, 0.02435441913483271, 0.01015012346955777, 0.2494034046228503, 0.11854431850337227, 0.04082995251601588, 0.1404764129412131, -0.1682171802410305, -0.04008409325492529, -0.3045817651969551, -0.11585413818050858, -0.17954813250222465, 0.09908385299960673, -0.08125512258696507, -0.16197400904772147, 0.45363502026024, 0.19370042196881604, 0.1496612576334934, -0.019481516876061197, 0.3296304458201351, 0.12466094293590622, 0.06997303097364559, 0.06492675771661313, 0.2959314733038617, 0.16988330477074734, 0.10417898649244871, -0.2691905151816531, 0.10693851743929718, 0.010927720351184023] |
712.2518 | Single-ion and exchange anisotropy effects and multiferroic behavior in
high-symmetry tetramer single molecule magnets | We study single-ion and exchange anisotropy effects in equal-spin $s_1$
tetramer single molecule magnets exhibiting $T_d$, $D_{4h}$, $D_{2d}$,
$C_{4h}$, $C_{4v}$, or $S_4$ ionic point group symmetry. We first write the
group-invariant quadratic single-ion and symmetric anisotropic exchange
Hamiltonians in the appropriate local coordinates. We then rewrite these local
Hamiltonians in the molecular or laboratory representation, along with the
Dzyaloshinskii-Moriay (DM) and isotropic Heisenberg, biquadratic, and
three-center quartic Hamiltonians. Using our exact, compact forms for the
single-ion spin matrix elements, we evaluate the eigenstate energies
analytically to first order in the microscopic anisotropy interactions,
corresponding to the strong exchange limit, and provide tables of simple
formulas for the energies of the lowest four eigenstate manifolds of
ferromagnetic (FM) and anitiferromagnetic (AFM) tetramers with arbitrary $s_1$.
For AFM tetramers, we illustrate the first-order level-crossing inductions for
$s_1=1/2,1,3/2$, and obtain a preliminary estimate of the microscopic
parameters in a Ni$_4$ from a fit to magnetization data.
Accurate analytic expressions for the thermodynamics, electron paramagnetic
resonance absorption and inelastic neutron scattering cross-section are given,
allowing for a determination of three of the microscopic anisotropy
interactions from the second excited state manifold of FM tetramers. We also
predict that tetramers with symmetries $S_4$ and $D_{2d}$ should exhibit both
DM interactions and multiferroic states, and illustrate our predictions for
$s_1=1/2, 1$.
| cond-mat.str-el cond-mat.mes-hall | we study singleion and exchange anisotropy effects in equalspin s_1 tetramer single molecule magnets exhibiting t_d d_4h d_2d c_4h c_4v or s_4 ionic point group symmetry we first write the groupinvariant quadratic singleion and symmetric anisotropic exchange hamiltonians in the appropriate local coordinates we then rewrite these local hamiltonians in the molecular or laboratory representation along with the dzyaloshinskiimoriay dm and isotropic heisenberg biquadratic and threecenter quartic hamiltonians using our exact compact forms for the singleion spin matrix elements we evaluate the eigenstate energies analytically to first order in the microscopic anisotropy interactions corresponding to the strong exchange limit and provide tables of simple formulas for the energies of the lowest four eigenstate manifolds of ferromagnetic fm and anitiferromagnetic afm tetramers with arbitrary s_1 for afm tetramers we illustrate the firstorder levelcrossing inductions for s_112132 and obtain a preliminary estimate of the microscopic parameters in a ni_4 from a fit to magnetization data accurate analytic expressions for the thermodynamics electron paramagnetic resonance absorption and inelastic neutron scattering crosssection are given allowing for a determination of three of the microscopic anisotropy interactions from the second excited state manifold of fm tetramers we also predict that tetramers with symmetries s_4 and d_2d should exhibit both dm interactions and multiferroic states and illustrate our predictions for s_112 1 | [['we', 'study', 'singleion', 'and', 'exchange', 'anisotropy', 'effects', 'in', 'equalspin', 's_1', 'tetramer', 'single', 'molecule', 'magnets', 'exhibiting', 't_d', 'd_4h', 'd_2d', 'c_4h', 'c_4v', 'or', 's_4', 'ionic', 'point', 'group', 'symmetry', 'we', 'first', 'write', 'the', 'groupinvariant', 'quadratic', 'singleion', 'and', 'symmetric', 'anisotropic', 'exchange', 'hamiltonians', 'in', 'the', 'appropriate', 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712.2519 | Metastable supersymmetry breaking vacua from conformal dynamics | We study the scenario that conformal dynamics leads to metastable
supersymmetry breaking vacua. At a high energy scale, the superpotential is not
R-symmetric, and has a supersymmetric minimum. However, conformal dynamics
suppresses several operators along renormalization group flow toward the
infrared fixed point. Then we can find an approximately R-symmetric
superpotential, which has a metastable supersymmetry breaking vacuum, and the
supersymmetric vacuum moves far away from the metastable supersymmetry breaking
vacuum. We show a 4D simple model. Furthermore, we can construct 5D models with
the same behavior, because of the AdS/CFT dual.
| hep-ph hep-th | we study the scenario that conformal dynamics leads to metastable supersymmetry breaking vacua at a high energy scale the superpotential is not rsymmetric and has a supersymmetric minimum however conformal dynamics suppresses several operators along renormalization group flow toward the infrared fixed point then we can find an approximately rsymmetric superpotential which has a metastable supersymmetry breaking vacuum and the supersymmetric vacuum moves far away from the metastable supersymmetry breaking vacuum we show a 4d simple model furthermore we can construct 5d models with the same behavior because of the adscft dual | [['we', 'study', 'the', 'scenario', 'that', 'conformal', 'dynamics', 'leads', 'to', 'metastable', 'supersymmetry', 'breaking', 'vacua', 'at', 'a', 'high', 'energy', 'scale', 'the', 'superpotential', 'is', 'not', 'rsymmetric', 'and', 'has', 'a', 'supersymmetric', 'minimum', 'however', 'conformal', 'dynamics', 'suppresses', 'several', 'operators', 'along', 'renormalization', 'group', 'flow', 'toward', 'the', 'infrared', 'fixed', 'point', 'then', 'we', 'can', 'find', 'an', 'approximately', 'rsymmetric', 'superpotential', 'which', 'has', 'a', 'metastable', 'supersymmetry', 'breaking', 'vacuum', 'and', 'the', 'supersymmetric', 'vacuum', 'moves', 'far', 'away', 'from', 'the', 'metastable', 'supersymmetry', 'breaking', 'vacuum', 'we', 'show', 'a', '4d', 'simple', 'model', 'furthermore', 'we', 'can', 'construct', '5d', 'models', 'with', 'the', 'same', 'behavior', 'because', 'of', 'the', 'adscft', 'dual']] | [-0.13172726329408443, 0.24191878970510594, -0.08204869749328203, 0.12342977422193381, -0.08430065734121497, -0.1753334370669504, -0.0022063472184210855, 0.34759576510101475, -0.22761623822557536, -0.2467288490911217, 0.09886659148311161, -0.2779873724034785, -0.1271720397812517, 0.01786818757713975, -0.03711645689833423, 0.03337485468237782, -0.028598745285189183, 0.022822431491121002, -0.14755859004166585, -0.18847723417085313, 0.30240897381799703, 0.03704729176166913, 0.2774821291981346, 0.0743302607645645, 0.1279277197065075, -0.08588969203613131, 0.11076879264462901, -0.042787351483560124, -0.1380656610636715, 0.058119792374782264, 0.1842505652171578, 0.050768714296914964, 0.15478010302404469, -0.41612720985532453, -0.2277447967334529, 0.16708664361731676, 0.20016302728175145, 0.23338669324268424, -0.07798473198351491, -0.2730757476073568, 0.08045853905217804, -0.14531043545423966, -0.18064810178222376, -0.09442368762203208, -0.06289027744155053, -0.2044080526519911, -0.27293522487414756, 0.045826136741949165, -0.06987017992398013, 0.03275530260947088, -0.029636193421142903, -0.019196777174289782, -0.16996296869499772, 0.014484586454826691, 0.1694586115355259, 0.035369843014252736, 0.19856023582447643, -0.21988408846537705, -0.13909754591852264, 0.38274947881860577, -0.08367692048499442, -0.1608278056981204, 0.1620897474779707, -0.1254694255615544, -0.1944732849192603, 0.1786542975156487, 0.08309139483532382, 0.16195239761398864, -0.10840406286550443, 0.2610941171208295, -0.05667780464231644, 0.15683446699182715, 0.08820116292158871, 0.028553854689285483, 0.2872078048834658, 0.12964585977201554, 0.09498956462408861, 0.15716206665029345, -0.0034639614927784905, -0.17300921301964833, -0.44395734975114465, -0.11365599091083783, -0.11670821981059144, 0.12332650197371865, -0.12894738842094186, -0.13799645743592523, 0.4074279721421392, 0.11356260073491443, 0.20691133320898467, 0.0729518215812277, 0.17007129958770034, 0.09841793068968084, 0.11884900268025535, 0.0445901990979505, 0.29392869117588777, 0.03681542126223971, 0.10263233738394616, -0.276497955775678, -0.1346261554053458, 0.1673835502512267] |
712.252 | Disc-Magnetosphere interactions in Cataclysmic Variable Stars | I review, from an observational perspective, the interactions of accretion
discs with magnetic fields in cataclysmic variable stars. I start with systems
where the accretion flows via a stream, and discuss the circumstances in which
the stream forms into an accretion disc, pointing to stars which are close to
this transition. I then turn to disc-fed systems and discuss what we know about
how material threads on to field lines, as deduced from the pattern of
accretion footprints on the white dwarf. I discuss whether distortions of the
field lines are related to accretion torques and the changing spin periods of
the white dwarfs. I also review the effect on the disc-magnetosphere
interaction of disc-instability outbursts. Lastly, I discuss the temporary,
dynamo-driven magnetospheres thought to occur in dwarf-nova outbursts, and
whether slow-moving waves are excited at the inner edges of the disc.
| astro-ph | i review from an observational perspective the interactions of accretion discs with magnetic fields in cataclysmic variable stars i start with systems where the accretion flows via a stream and discuss the circumstances in which the stream forms into an accretion disc pointing to stars which are close to this transition i then turn to discfed systems and discuss what we know about how material threads on to field lines as deduced from the pattern of accretion footprints on the white dwarf i discuss whether distortions of the field lines are related to accretion torques and the changing spin periods of the white dwarfs i also review the effect on the discmagnetosphere interaction of discinstability outbursts lastly i discuss the temporary dynamodriven magnetospheres thought to occur in dwarfnova outbursts and whether slowmoving waves are excited at the inner edges of the disc | [['i', 'review', 'from', 'an', 'observational', 'perspective', 'the', 'interactions', 'of', 'accretion', 'discs', 'with', 'magnetic', 'fields', 'in', 'cataclysmic', 'variable', 'stars', 'i', 'start', 'with', 'systems', 'where', 'the', 'accretion', 'flows', 'via', 'a', 'stream', 'and', 'discuss', 'the', 'circumstances', 'in', 'which', 'the', 'stream', 'forms', 'into', 'an', 'accretion', 'disc', 'pointing', 'to', 'stars', 'which', 'are', 'close', 'to', 'this', 'transition', 'i', 'then', 'turn', 'to', 'discfed', 'systems', 'and', 'discuss', 'what', 'we', 'know', 'about', 'how', 'material', 'threads', 'on', 'to', 'field', 'lines', 'as', 'deduced', 'from', 'the', 'pattern', 'of', 'accretion', 'footprints', 'on', 'the', 'white', 'dwarf', 'i', 'discuss', 'whether', 'distortions', 'of', 'the', 'field', 'lines', 'are', 'related', 'to', 'accretion', 'torques', 'and', 'the', 'changing', 'spin', 'periods', 'of', 'the', 'white', 'dwarfs', 'i', 'also', 'review', 'the', 'effect', 'on', 'the', 'discmagnetosphere', 'interaction', 'of', 'discinstability', 'outbursts', 'lastly', 'i', 'discuss', 'the', 'temporary', 'dynamodriven', 'magnetospheres', 'thought', 'to', 'occur', 'in', 'dwarfnova', 'outbursts', 'and', 'whether', 'slowmoving', 'waves', 'are', 'excited', 'at', 'the', 'inner', 'edges', 'of', 'the', 'disc']] | [-0.11768583555109012, 0.16885074676185827, -0.04013633595092524, 0.09955508873427392, -0.13220603248509447, -0.07597360923610838, 0.05061925242615627, 0.37661492863906104, -0.2609640786712858, -0.29594138081342924, 0.10231048842600192, -0.28585124090186836, -0.0855099043126782, 0.17977824704852743, -0.07715549925998064, -0.08154312894076214, 0.05072584345897423, -0.02902725675310546, -0.051024608704274596, -0.2530306028858037, 0.3761780529141977, 0.03860921004268957, 0.09395581901993301, -0.05422124738516417, 0.012214952269831384, -0.09236157550902802, -0.01977724798554948, -0.0472231618043455, -0.1895677921637683, 0.0061761209754352, 0.219943851646131, 0.12361567979350581, 0.18847804991233255, -0.4781376393593874, -0.21207877190481925, -0.0053733999522822635, 0.16619999150902978, 0.05767838701992755, -0.05328707780170871, -0.2538263895483294, 0.033696136874323844, -0.19306133661261746, -0.11658291307828901, 0.03629449432761684, 0.09202861229554606, 0.04726962966214813, -0.22787746759197136, 0.037491461991547265, 0.1459306318248937, 0.07546621482265116, -0.12198697599831601, -0.06530253866582479, -0.04244308116268629, 0.0753434981698249, 0.13652756146456993, 0.03851134214602726, 0.19003202731747337, -0.17321566926990964, -0.07715875853810616, 0.38624447043804766, -0.06791795955144499, -0.06742968800654767, 0.23463754923883037, -0.20481496670244026, -0.11155928600117118, 0.1083014205452317, 0.20656953480022527, 0.11703066114651066, -0.1094823694545251, -0.028255225019037565, 0.002399192106398478, 0.1315483569993939, 0.04209523114808638, 0.03861375923045504, 0.39417145327782965, 0.07360330707242739, 0.0038779038996566875, 0.11116252687487516, -0.1739821516938219, -0.08941391917457148, -0.26839735136780574, -0.10909603430207451, -0.11252188634842267, 0.09623615743107045, -0.04832331090632656, -0.14863726320925733, 0.37116917410314504, 0.15592587384572384, 0.24672942447908958, -0.04940684242206823, 0.27232339170525294, 0.09267433314718647, 0.05983567175875142, 0.15803071514795153, 0.29107384628314575, 0.19421093396081682, 0.12471038129666007, -0.25068057902340946, 0.07486170904159965, 0.006301018094617716] |
712.2521 | Will the $PT$ Symmetric and Non-Hermitian $\phi^4$ Theory Solve the
Hierarchy and Triviality Problems in the Standard Model? | Very recently, the Large Hadron Collider was turned on. There, the
experiments are aiming to test different scenarios for elementary particles
interactions from SUSY, Extra dimensions to others. In fact, SUSY was invented
to kill the conceptual problems existing in the conventional Standard model
\textit{i.e.} the Hierarchy problem. However, in recent years, certain theories
which was rejected in the past like the wrong sign $\phi^{4}$ theory is now
well known to be a truly physically acceptable theory. Here, we analyze the
renormalization group flow of the different parameters in the theory. We find
that, rather than the conventional $\phi^{4}$ theory and because the theory is
asymptotically free, it does not sufferer from the catastrophic blow up of the
mass parameter for UV scales. This feature greatly recommend that this theory
is a plausible candidate to play the role of the $SU(2)\times U(1)$ symmetry
breaking in the standard model. If this picture will agree with the
experimental results from LHC, then the Higgs particle was massless in the far
past. Moreover, the cosmological constant problem as a Hierarchy problem may be
solved too. However, when trying to calculate the metric operator, we expected
that the equivalent Hermitian theory may attain non-remormalizabe terms and
thus the theory is incalculable. In fact, we show that there exists a Hermitian
and renormalizable equivalent theory though of indefinite metric. We
reformulated the Klein-Gordon equation in such a way that the wrong sign in the
propagator attains a new physical meaning that the Higgs particle is made from
exotic matter.
| hep-th | very recently the large hadron collider was turned on there the experiments are aiming to test different scenarios for elementary particles interactions from susy extra dimensions to others in fact susy was invented to kill the conceptual problems existing in the conventional standard model textitie the hierarchy problem however in recent years certain theories which was rejected in the past like the wrong sign phi4 theory is now well known to be a truly physically acceptable theory here we analyze the renormalization group flow of the different parameters in the theory we find that rather than the conventional phi4 theory and because the theory is asymptotically free it does not sufferer from the catastrophic blow up of the mass parameter for uv scales this feature greatly recommend that this theory is a plausible candidate to play the role of the su2times u1 symmetry breaking in the standard model if this picture will agree with the experimental results from lhc then the higgs particle was massless in the far past moreover the cosmological constant problem as a hierarchy problem may be solved too however when trying to calculate the metric operator we expected that the equivalent hermitian theory may attain nonremormalizabe terms and thus the theory is incalculable in fact we show that there exists a hermitian and renormalizable equivalent theory though of indefinite metric we reformulated the kleingordon equation in such a way that the wrong sign in the propagator attains a new physical meaning that the higgs particle is made from exotic matter | [['very', 'recently', 'the', 'large', 'hadron', 'collider', 'was', 'turned', 'on', 'there', 'the', 'experiments', 'are', 'aiming', 'to', 'test', 'different', 'scenarios', 'for', 'elementary', 'particles', 'interactions', 'from', 'susy', 'extra', 'dimensions', 'to', 'others', 'in', 'fact', 'susy', 'was', 'invented', 'to', 'kill', 'the', 'conceptual', 'problems', 'existing', 'in', 'the', 'conventional', 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712.2522 | Two-resonator circuit QED: A superconducting quantum switch | We introduce a systematic formalism for two-resonator circuit QED, where two
on-chip microwave resonators are simultaneously coupled to one superconducting
qubit. Within this framework, we demonstrate that the qubit can function as a
quantum switch between the two resonators, which are assumed to be originally
independent. In this three-circuit network, the qubit mediates a geometric
second-order circuit interaction between the otherwise decoupled resonators. In
the dispersive regime, it also gives rise to a dynamic second-order
perturbative interaction. The geometric and dynamic coupling strengths can be
tuned to be equal, thus permitting to switch on and off the interaction between
the two resonators via a qubit population inversion or a shifting of the qubit
operation point. We also show that our quantum switch represents a flexible
architecture for the manipulation and generation of nonclassical microwave
field states as well as the creation of controlled multipartite entanglement in
circuit QED. In addition, we clarify the role played by the geometric
interaction, which constitutes a fundamental property characteristic of
superconducting quantum circuits without counterpart in quantum-optical
systems. We develop a detailed theory of the geometric second-order coupling by
means of circuit transformations for superconducting charge and flux qubits.
Furthermore, we show the robustness of the quantum switch operation with
respect to decoherence mechanisms. Finally, we propose a realistic design for a
two-resonator circuit QED setup based on a flux qubit and estimate all the
related parameters. In this manner, we show that this setup can be used to
implement a superconducting quantum switch with available technology.
| cond-mat.mes-hall cond-mat.supr-con quant-ph | we introduce a systematic formalism for tworesonator circuit qed where two onchip microwave resonators are simultaneously coupled to one superconducting qubit within this framework we demonstrate that the qubit can function as a quantum switch between the two resonators which are assumed to be originally independent in this threecircuit network the qubit mediates a geometric secondorder circuit interaction between the otherwise decoupled resonators in the dispersive regime it also gives rise to a dynamic secondorder perturbative interaction the geometric and dynamic coupling strengths can be tuned to be equal thus permitting to switch on and off the interaction between the two resonators via a qubit population inversion or a shifting of the qubit operation point we also show that our quantum switch represents a flexible architecture for the manipulation and generation of nonclassical microwave field states as well as the creation of controlled multipartite entanglement in circuit qed in addition we clarify the role played by the geometric interaction which constitutes a fundamental property characteristic of superconducting quantum circuits without counterpart in quantumoptical systems we develop a detailed theory of the geometric secondorder coupling by means of circuit transformations for superconducting charge and flux qubits furthermore we show the robustness of the quantum switch operation with respect to decoherence mechanisms finally we propose a realistic design for a tworesonator circuit qed setup based on a flux qubit and estimate all the related parameters in this manner we show that this setup can be used to implement a superconducting quantum switch with available technology | [['we', 'introduce', 'a', 'systematic', 'formalism', 'for', 'tworesonator', 'circuit', 'qed', 'where', 'two', 'onchip', 'microwave', 'resonators', 'are', 'simultaneously', 'coupled', 'to', 'one', 'superconducting', 'qubit', 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712.2523 | Searches for Gravitational Waves from Binary Neutron Stars: A Review | A new generation of observatories is looking for gravitational waves. These
waves, emitted by highly relativistic systems, will open a new window for ob-
servation of the cosmos when they are detected. Among the most promising
sources of gravitational waves for these observatories are compact binaries in
the final min- utes before coalescence. In this article, we review in brief
interferometric searches for gravitational waves emitted by neutron star
binaries, including the theory, instru- mentation and methods. No detections
have been made to date. However, the best direct observational limits on
coalescence rates have been set, and instrumentation and analysis methods
continue to be refined toward the ultimate goal of defining the new field of
gravitational wave astronomy.
| gr-qc | a new generation of observatories is looking for gravitational waves these waves emitted by highly relativistic systems will open a new window for ob servation of the cosmos when they are detected among the most promising sources of gravitational waves for these observatories are compact binaries in the final min utes before coalescence in this article we review in brief interferometric searches for gravitational waves emitted by neutron star binaries including the theory instru mentation and methods no detections have been made to date however the best direct observational limits on coalescence rates have been set and instrumentation and analysis methods continue to be refined toward the ultimate goal of defining the new field of gravitational wave astronomy | [['a', 'new', 'generation', 'of', 'observatories', 'is', 'looking', 'for', 'gravitational', 'waves', 'these', 'waves', 'emitted', 'by', 'highly', 'relativistic', 'systems', 'will', 'open', 'a', 'new', 'window', 'for', 'ob', 'servation', 'of', 'the', 'cosmos', 'when', 'they', 'are', 'detected', 'among', 'the', 'most', 'promising', 'sources', 'of', 'gravitational', 'waves', 'for', 'these', 'observatories', 'are', 'compact', 'binaries', 'in', 'the', 'final', 'min', 'utes', 'before', 'coalescence', 'in', 'this', 'article', 'we', 'review', 'in', 'brief', 'interferometric', 'searches', 'for', 'gravitational', 'waves', 'emitted', 'by', 'neutron', 'star', 'binaries', 'including', 'the', 'theory', 'instru', 'mentation', 'and', 'methods', 'no', 'detections', 'have', 'been', 'made', 'to', 'date', 'however', 'the', 'best', 'direct', 'observational', 'limits', 'on', 'coalescence', 'rates', 'have', 'been', 'set', 'and', 'instrumentation', 'and', 'analysis', 'methods', 'continue', 'to', 'be', 'refined', 'toward', 'the', 'ultimate', 'goal', 'of', 'defining', 'the', 'new', 'field', 'of', 'gravitational', 'wave', 'astronomy']] | [-0.14013405895695605, 0.1531443169886439, -0.056702124185715644, 0.11049356309050726, -0.13831563515524412, -0.042525537215687075, 0.027398149253085962, 0.36458816260484783, -0.15324001353944589, -0.30496208016471615, 0.11847556163737519, -0.3131654461412209, -0.08029833959881216, 0.301197440042321, 0.036351616687045014, 0.07366381756708443, 0.12802856865314896, -0.04079771140622425, -0.0369985370288587, -0.2252451575557894, 0.3151287655315988, 0.1176298199610881, 0.17079243916418035, 0.0033978030832227447, 0.04411134175285857, -0.03568869740662069, -0.10870126351425104, -0.022687950223716426, -0.12545650357637425, 0.07298307749442756, 0.2961766639290827, 0.22503498868599278, 0.2380902390959191, -0.44861864190998263, -0.2663659977582123, 0.07138010457254432, 0.1540362585550736, 0.13474122174325046, -0.08561986897257157, -0.35198089840685437, 0.06246657936095164, -0.18417144236395713, -0.13275057224131287, -0.006758680093455417, 0.08434633611287953, 0.07779680549243369, -0.165532679959393, 0.02797711248999333, 0.005031722657992665, -0.0009498177347142763, -0.09469310778136976, -0.10885525815959635, 0.029577617623827195, 0.0911855900548258, 0.07306925707209679, 0.10930379111207379, 0.07620169085115275, -0.1705726612467672, -0.13792418350128394, 0.3738390661149832, -0.06220019854011078, -0.09111055372692324, 0.2243730664656674, -0.20017970640388927, -0.22028393570558522, 0.1576687446233399, 0.21681044963670187, 0.16514573289595288, -0.20399471105275582, 0.003025666239033132, 0.0593945754769485, 0.14853400850150703, 0.12183364136305092, 0.10351351993901109, 0.4005485362662324, 0.16972478863518237, 0.024064108243629593, 0.08034581840760878, -0.1585986609309751, -0.001117832391675369, -0.27629951463113056, -0.11921642774089786, -0.13998680918654105, 0.05087360737638062, -0.02602646233559614, -0.10515695216549673, 0.3531139368103046, 0.14175322343161778, 0.05736907866205378, 0.014141520292594516, 0.2932888825006526, 0.0916101416014185, 0.055496956430504035, 0.054631588767796495, 0.4000027747182497, 0.15022631914852635, 0.09260930564527496, -0.12734412954686658, 0.032875047828038705, 0.01948386020075273] |
712.2524 | Cyclotomic expansion of exceptional spectral measures | We find explicit formulae for the circular spectral measures of $E_7,E_8$.
This leads to a number of general observations regarding the ADE circular
measures: these are linear combinations of measures supported by the roots of
unity, with real density given by certain degree 3 polynomials.
| math.QA | we find explicit formulae for the circular spectral measures of e_7e_8 this leads to a number of general observations regarding the ade circular measures these are linear combinations of measures supported by the roots of unity with real density given by certain degree 3 polynomials | [['we', 'find', 'explicit', 'formulae', 'for', 'the', 'circular', 'spectral', 'measures', 'of', 'e_7e_8', 'this', 'leads', 'to', 'a', 'number', 'of', 'general', 'observations', 'regarding', 'the', 'ade', 'circular', 'measures', 'these', 'are', 'linear', 'combinations', 'of', 'measures', 'supported', 'by', 'the', 'roots', 'of', 'unity', 'with', 'real', 'density', 'given', 'by', 'certain', 'degree', '3', 'polynomials']] | [-0.1812166939066215, 0.10842734490953179, -0.05260796866125681, 0.031339870001168245, -0.03812737872993404, -0.1077128500063819, 0.007509161308090287, 0.32137094414792955, -0.2288603361653672, -0.28833921448412264, 0.10004450947003947, -0.2743886740645394, -0.15518902415748348, 0.20551636202303183, -0.04436122308569876, 0.09701767891899428, 0.022991997845978898, 0.06899397866800427, -0.12130685940130868, -0.26509088569913397, 0.38703489303588867, 0.03979338299144398, 0.20777539610439402, 0.051749372092837635, 0.08785229036584496, 0.018364556059664625, -0.10297228032934734, 0.03830130440606312, -0.1824260114861483, 0.18603138913485137, 0.25462254229933023, 0.17732519019310447, 0.21745587250387127, -0.3747565968131477, -0.15176367844370278, 0.17269143697128378, 0.08508087310474366, 0.04973829120651565, 0.0065869076431474905, -0.2483944871187718, 0.08606875808486207, -0.13151710371213002, -0.2330585784829137, -0.08090165864930234, 0.04660543492487208, 0.13964391969652337, -0.27253579653122206, 0.09160280181095004, 0.03623083276166157, 0.1467084739653563, -0.030426440347748048, -0.14934639663128604, -0.009750697391361675, 0.05714435052306561, 0.030127847694199194, -0.057084382310594345, 0.05924933744509789, -0.10933617791901766, -0.15020035148005595, 0.33699298806657846, -0.040841934863816605, -0.2687417598525909, 0.14630351846360348, -0.23648695514368062, -0.11711835715686902, 0.14395878730680456, 0.11884755359708586, 0.0995648850432851, -0.04645765356888825, 0.08726234842007133, -0.10558941987057385, 0.10425064759328961, 0.12973456794861704, 0.011901976695464162, 0.23016368060118772, 0.00821404027837244, 0.04336439711253413, 0.15844847895840014, -0.0425896786830642, -0.0568275519495232, -0.3190890248356895, -0.12495946995278989, -0.16607769794592803, 0.06675973085855896, -0.21399632855106823, -0.18256047122519126, 0.4349954554557123, 0.06434055453759026, 0.23695267957042565, 0.15939375819553706, 0.22379716278307818, 0.21485753818838435, 0.050573153611780566, 0.02592689934524308, 0.15833603040399877, 0.16835781674705108, -0.02744793602621278, -0.1657415310513567, 0.03989144734276289, 0.06428859688193453] |
712.2525 | Calculating Colimits Compositionally | We show how finite limits and colimits can be calculated compositionally
using the algebras of spans and cospans, and give as an application a proof of
the Kleene Theorem on regular languages.
| math.CT | we show how finite limits and colimits can be calculated compositionally using the algebras of spans and cospans and give as an application a proof of the kleene theorem on regular languages | [['we', 'show', 'how', 'finite', 'limits', 'and', 'colimits', 'can', 'be', 'calculated', 'compositionally', 'using', 'the', 'algebras', 'of', 'spans', 'and', 'cospans', 'and', 'give', 'as', 'an', 'application', 'a', 'proof', 'of', 'the', 'kleene', 'theorem', 'on', 'regular', 'languages']] | [-0.06902194989379495, 0.07364155220102475, -0.11060714472478139, 0.11652742803562433, -0.07542620063759387, -0.06912500648468267, 0.07455766294151545, 0.37924576131626964, -0.35640844685258344, -0.2367036768118851, 0.14822099461161997, -0.2207395756850019, -0.08246199143468402, 0.28172207649913616, -0.1387795230257325, -0.09925963853675057, 0.07925457591773011, 0.0814771023724461, -0.08964437873510178, -0.25085504190064967, 0.35701317666098475, -0.0738457748448127, 0.22203884314512834, 0.10329060518415645, 0.11238662045798264, 0.027259337162831798, 0.003834764938801527, 0.06481449818238616, -0.1671533811459085, 0.12388549820752814, 0.3412771836956381, 0.17834852453961503, 0.16223636223003268, -0.4190158925484866, -0.07199581472377758, 0.07205353199969977, 0.13290822014096193, 0.0632400345057249, 0.011019312467396958, -0.30565126065630466, 0.12486707558855414, -0.2593317840946838, -0.07414468337083235, -0.1350781815708615, 0.0447415861999616, 0.09620336716761813, -0.2173424433276523, -0.05380378534027841, 0.21230716307763942, 0.15832911062170751, -0.10207897989312187, -0.0940064181922935, -0.0938174722250551, 0.10814376726921182, -0.09465726595954038, -0.05464386889070738, 0.12248355238989461, -0.019474728382192552, -0.21853659459156916, 0.36521481920499355, -0.08920281333848834, -0.16931420034961775, 0.20994876604527235, -0.09556187741691247, -0.12185309373307973, 0.03294914751313627, 0.06583548361959402, 0.16846935328794643, -0.08688949831412174, 0.20241232445732749, -0.11747013661079109, 0.1217330098952516, 0.1534574584220536, 0.05283579113893211, 0.19762953645113157, 0.17717638351314235, 0.04876358842011541, 0.19241004061404965, 0.04977839298226172, -0.0008709738758625463, -0.3475775077822618, -0.15360130861517973, -0.08059901569504291, 0.07533956415136345, -0.14018448961587637, -0.2274812035029754, 0.33743249403778464, 0.1330711406772025, 0.15440766530809924, 0.2213503560924437, 0.21486420091241598, 0.1254244986885169, 0.10900350876909215, 0.006350853596813977, 0.11268588865641505, 0.25531418313039467, 0.05414240622485522, -0.03999811245012097, 0.03459431848023087, 0.19992077906499617] |
712.2526 | Variational inference for large-scale models of discrete choice | Discrete choice models are commonly used by applied statisticians in numerous
fields, such as marketing, economics, finance, and operations research. When
agents in discrete choice models are assumed to have differing preferences,
exact inference is often intractable. Markov chain Monte Carlo techniques make
approximate inference possible, but the computational cost is prohibitive on
the large data sets now becoming routinely available. Variational methods
provide a deterministic alternative for approximation of the posterior
distribution. We derive variational procedures for empirical Bayes and fully
Bayesian inference in the mixed multinomial logit model of discrete choice. The
algorithms require only that we solve a sequence of unconstrained optimization
problems, which are shown to be convex. Extensive simulations demonstrate that
variational methods achieve accuracy competitive with Markov chain Monte Carlo,
at a small fraction of the computational cost. Thus, variational methods permit
inferences on data sets that otherwise could not be analyzed without
bias-inducing modifications to the underlying model.
| stat.ME stat.CO stat.ML | discrete choice models are commonly used by applied statisticians in numerous fields such as marketing economics finance and operations research when agents in discrete choice models are assumed to have differing preferences exact inference is often intractable markov chain monte carlo techniques make approximate inference possible but the computational cost is prohibitive on the large data sets now becoming routinely available variational methods provide a deterministic alternative for approximation of the posterior distribution we derive variational procedures for empirical bayes and fully bayesian inference in the mixed multinomial logit model of discrete choice the algorithms require only that we solve a sequence of unconstrained optimization problems which are shown to be convex extensive simulations demonstrate that variational methods achieve accuracy competitive with markov chain monte carlo at a small fraction of the computational cost thus variational methods permit inferences on data sets that otherwise could not be analyzed without biasinducing modifications to the underlying model | [['discrete', 'choice', 'models', 'are', 'commonly', 'used', 'by', 'applied', 'statisticians', 'in', 'numerous', 'fields', 'such', 'as', 'marketing', 'economics', 'finance', 'and', 'operations', 'research', 'when', 'agents', 'in', 'discrete', 'choice', 'models', 'are', 'assumed', 'to', 'have', 'differing', 'preferences', 'exact', 'inference', 'is', 'often', 'intractable', 'markov', 'chain', 'monte', 'carlo', 'techniques', 'make', 'approximate', 'inference', 'possible', 'but', 'the', 'computational', 'cost', 'is', 'prohibitive', 'on', 'the', 'large', 'data', 'sets', 'now', 'becoming', 'routinely', 'available', 'variational', 'methods', 'provide', 'a', 'deterministic', 'alternative', 'for', 'approximation', 'of', 'the', 'posterior', 'distribution', 'we', 'derive', 'variational', 'procedures', 'for', 'empirical', 'bayes', 'and', 'fully', 'bayesian', 'inference', 'in', 'the', 'mixed', 'multinomial', 'logit', 'model', 'of', 'discrete', 'choice', 'the', 'algorithms', 'require', 'only', 'that', 'we', 'solve', 'a', 'sequence', 'of', 'unconstrained', 'optimization', 'problems', 'which', 'are', 'shown', 'to', 'be', 'convex', 'extensive', 'simulations', 'demonstrate', 'that', 'variational', 'methods', 'achieve', 'accuracy', 'competitive', 'with', 'markov', 'chain', 'monte', 'carlo', 'at', 'a', 'small', 'fraction', 'of', 'the', 'computational', 'cost', 'thus', 'variational', 'methods', 'permit', 'inferences', 'on', 'data', 'sets', 'that', 'otherwise', 'could', 'not', 'be', 'analyzed', 'without', 'biasinducing', 'modifications', 'to', 'the', 'underlying', 'model']] | [-0.0018589343979966814, 0.037142866127821916, -0.08810118423448271, 0.19267613201382472, -0.13584445895590855, -0.18555116456594656, 0.0860281199520732, 0.4755277612621521, -0.3127946685908919, -0.3513361776622569, 0.1551952284719952, -0.2108525152434595, -0.11172913642019613, 0.2001665878644842, -0.07469391578493954, 0.139368571672897, 0.16016310657746485, -0.023501125948054584, -0.060880758013053156, -0.2942386694455084, 0.20921873572500205, 0.0650214829297688, 0.316218976790158, -0.052004404855867874, 0.1179394708090619, 0.00303816551028134, -0.02989594709708706, 0.024914926052541024, -0.13952936086263742, 0.14584220551686095, 0.3348543028574072, 0.1969471263167049, 0.37219871335675, -0.4513484965556289, -0.24423791251867985, 0.16358474010069454, 0.15408753247344986, 0.13103751885000156, 0.010454655732270089, -0.2523650975290129, 0.011187739003345357, -0.17882324085803702, -0.04477084215425028, -0.18765356391970697, -0.07678748922446718, 0.04552822573678931, -0.33643285276114265, 0.07681832353088569, -0.022664951132580203, 0.08926579129410447, 0.010497154054147277, -0.17994843200211982, 0.009062608903540032, 0.06337168693936326, 0.08401136203100543, 0.0033298007865714564, 0.11546637344494608, -0.10958791272291406, -0.18799186717452748, 0.34179396995089273, 0.0023136416196145797, -0.2843133048010784, 0.2042830036771665, -0.012988625127556068, -0.22595905820693965, 0.15154792929341104, 0.18932825249510926, 0.1425841432155485, -0.1969584814661565, 0.122135076078423, -0.009299479839588553, 0.15859928398163287, -0.026651873145941887, -0.058845081239600076, 0.13823966114243566, 0.17317656521207664, 0.0845707684933728, 0.10032800973435356, -0.05032306478295306, -0.21548375600605732, -0.23576474934211605, -0.08747409874582421, -0.23485265044471273, 0.014411412645225842, -0.12060498524522983, -0.22963993113193898, 0.2634446746609234, 0.22431340280055137, 0.10821823822485598, 0.11806555726193496, 0.3104680160108905, 0.10408698505111184, 0.030453033039615454, 0.09837918295283113, 0.1786649105699987, 0.10580643648190981, 0.04349587324858559, -0.14497080950486751, 0.15845625423644852, 0.01813499780081503] |
712.2527 | An invariant regarding Waring's problem for cubic polynomials | We compute the equation of the 7-secant variety to the Veronese variety
(P^4,O(3)), its degree is 15. This is the last missing invariant in the
Alexander-Hirschowitz classification.
It gives the condition to express a homogeneous cubic polynomial in 5
variables as the sum of 7 cubes (Waring problem). The interesting side in the
construction is that it comes from the determinant of a matrix of order 45 with
linear entries, which is a cube. The same technique allows to express the
classical Aronhold invariantof plane cubics as a pfaffian.
| math.AG | we compute the equation of the 7secant variety to the veronese variety p4o3 its degree is 15 this is the last missing invariant in the alexanderhirschowitz classification it gives the condition to express a homogeneous cubic polynomial in 5 variables as the sum of 7 cubes waring problem the interesting side in the construction is that it comes from the determinant of a matrix of order 45 with linear entries which is a cube the same technique allows to express the classical aronhold invariantof plane cubics as a pfaffian | [['we', 'compute', 'the', 'equation', 'of', 'the', '7secant', 'variety', 'to', 'the', 'veronese', 'variety', 'p4o3', 'its', 'degree', 'is', '15', 'this', 'is', 'the', 'last', 'missing', 'invariant', 'in', 'the', 'alexanderhirschowitz', 'classification', 'it', 'gives', 'the', 'condition', 'to', 'express', 'a', 'homogeneous', 'cubic', 'polynomial', 'in', '5', 'variables', 'as', 'the', 'sum', 'of', '7', 'cubes', 'waring', 'problem', 'the', 'interesting', 'side', 'in', 'the', 'construction', 'is', 'that', 'it', 'comes', 'from', 'the', 'determinant', 'of', 'a', 'matrix', 'of', 'order', '45', 'with', 'linear', 'entries', 'which', 'is', 'a', 'cube', 'the', 'same', 'technique', 'allows', 'to', 'express', 'the', 'classical', 'aronhold', 'invariantof', 'plane', 'cubics', 'as', 'a', 'pfaffian']] | [-0.1610420917128321, 0.028080277751351513, -0.08214381009037065, 0.06558593061379005, -0.1067916048733994, -0.09645247863887181, -0.01552154382062686, 0.28030882686983016, -0.33361426416004814, -0.28517299153582126, 0.13944071433019586, -0.2736288528095154, -0.16600616478231237, 0.15735748757169646, -0.05680075487078622, 0.02383323287426191, 0.022127191262687883, 0.08753031027654923, -0.12954422671531954, -0.33595682303746077, 0.3165515774839319, -0.0119457806807098, 0.22035716846856007, 0.043476641903696364, 0.1459937248606408, 0.03845160047870216, -0.007520591634390659, -0.03182518748609826, -0.0939350559402069, 0.1329270458338934, 0.26750933255480475, 0.11653223091758094, 0.19209292277065648, -0.31015527156333245, -0.13114503226046678, 0.1439847354343984, 0.09725872606992028, 0.09960911337822285, 0.041742554746654836, -0.18826450353358373, 0.10511293065115582, -0.15571917041064764, -0.19506036980229235, -0.040714496662731955, 0.024885500727091416, -0.006968941712795302, -0.2655449142614596, 0.048766023853014026, 0.08005256774878605, 0.06535103187224893, -0.006851474764664809, -0.14738884084143264, -0.016497065573064393, 0.08391773589713455, -0.00444321152429248, 0.07802239274822695, 0.05296679030085892, -0.11790687804987524, -0.09076922685232792, 0.4166616869029091, -0.043353897856472624, -0.23012989174661247, 0.15293078973542812, -0.1588124079564803, -0.12630188443730478, 0.18132164354468588, 0.13348522060009282, 0.11462435729498434, -0.10401599632229569, 0.1338145719722, -0.13920936514731758, 0.14057403635017054, 0.09853466634833535, -0.03234242992259042, 0.12986395174507484, 0.09677588414444133, 0.09326928676387598, 0.2073303411693074, -0.06455214360598908, -0.08248421143697099, -0.3081787736263386, -0.2075401769310025, -0.20414830493702835, 0.11483902272465098, -0.1558239789961209, -0.1827767696745997, 0.4177903720112734, 0.07867890416825905, 0.22816163554332805, 0.05222707622560001, 0.265343245774031, 0.12374447751519552, 0.08929822342686874, 0.013544303002269116, 0.1482040894483108, 0.20925935491009853, 0.08996537810754637, -0.13941297265105382, 0.02637382782995701, 0.1229701459104585] |
712.2528 | On $p$-harmonic map heat flows for {$1\leq p< \infty$} and their finite
element approximations | Motivated by emerging applications from imaging processing, the heat flow of
a generalized $p$-harmonic map into spheres is studied for the whole spectrum,
$1\leq p<\infty$, in a unified framework. The existence of global weak
solutions is established for the flow using the energy method together with a
regularization and a penalization technique. In particular, a $BV$-solution
concept is introduced and the existence of such a solution is proved for the
1-harmonic map heat flow. The main idea used to develop such a theory is to
exploit the properties of measures of the forms $\cA\cdot\nab\bv$ and
$\cA\wedge\nab\bv$; which pair a divergence-$L^1$, or a divergence-measure,
tensor field $\cA$, and a $BV$-vector field $\bv$. Based on these analytical
results, a practical fully discrete finite element method is then proposed for
approximating weak solutions of the $p$-harmonic map heat flow, and the
convergence of the proposed numerical method is also established.
| math.AP math.NA | motivated by emerging applications from imaging processing the heat flow of a generalized pharmonic map into spheres is studied for the whole spectrum 1leq pinfty in a unified framework the existence of global weak solutions is established for the flow using the energy method together with a regularization and a penalization technique in particular a bvsolution concept is introduced and the existence of such a solution is proved for the 1harmonic map heat flow the main idea used to develop such a theory is to exploit the properties of measures of the forms cacdotnabbv and cawedgenabbv which pair a divergencel1 or a divergencemeasure tensor field ca and a bvvector field bv based on these analytical results a practical fully discrete finite element method is then proposed for approximating weak solutions of the pharmonic map heat flow and the convergence of the proposed numerical method is also established | [['motivated', 'by', 'emerging', 'applications', 'from', 'imaging', 'processing', 'the', 'heat', 'flow', 'of', 'a', 'generalized', 'pharmonic', 'map', 'into', 'spheres', 'is', 'studied', 'for', 'the', 'whole', 'spectrum', '1leq', 'pinfty', 'in', 'a', 'unified', 'framework', 'the', 'existence', 'of', 'global', 'weak', 'solutions', 'is', 'established', 'for', 'the', 'flow', 'using', 'the', 'energy', 'method', 'together', 'with', 'a', 'regularization', 'and', 'a', 'penalization', 'technique', 'in', 'particular', 'a', 'bvsolution', 'concept', 'is', 'introduced', 'and', 'the', 'existence', 'of', 'such', 'a', 'solution', 'is', 'proved', 'for', 'the', '1harmonic', 'map', 'heat', 'flow', 'the', 'main', 'idea', 'used', 'to', 'develop', 'such', 'a', 'theory', 'is', 'to', 'exploit', 'the', 'properties', 'of', 'measures', 'of', 'the', 'forms', 'cacdotnabbv', 'and', 'cawedgenabbv', 'which', 'pair', 'a', 'divergencel1', 'or', 'a', 'divergencemeasure', 'tensor', 'field', 'ca', 'and', 'a', 'bvvector', 'field', 'bv', 'based', 'on', 'these', 'analytical', 'results', 'a', 'practical', 'fully', 'discrete', 'finite', 'element', 'method', 'is', 'then', 'proposed', 'for', 'approximating', 'weak', 'solutions', 'of', 'the', 'pharmonic', 'map', 'heat', 'flow', 'and', 'the', 'convergence', 'of', 'the', 'proposed', 'numerical', 'method', 'is', 'also', 'established']] | [-0.09960063711845014, 0.018936951739818488, -0.12551910290330595, 0.06456835181239179, -0.0620427615038762, -0.1066754446922421, 0.008173149324212434, 0.3405965717876671, -0.31814536111901554, -0.21559859496134687, 0.15029734106649134, -0.2556795182139416, -0.1555773089590653, 0.2193748786648683, -0.04404075234525011, 0.10513170407494714, 0.04483565243459504, 0.03970699597963355, -0.06999602223562837, -0.17025514776674164, 0.34261209525915626, -0.010586247724500604, 0.2997189594996752, 0.08335524519682455, 0.14888792377437504, -0.01935921784188651, -0.031376320448979526, 0.08041901150095264, -0.1582237783734175, 0.1684549027647246, 0.22106664886035707, 0.1124348252532925, 0.30267016476833486, -0.3697173816453613, -0.2703499343036346, 0.10816668536395989, 0.10222159255243524, 0.059583792729388504, -0.1065180467328542, -0.27308542226296917, 0.11960129551655076, -0.12331906529668142, -0.13133037394948932, -0.10291078043396545, -0.014507148773934116, 0.05748813187303415, -0.34118363948565134, 0.06470759505300265, 0.08797299091271321, 0.04849686363423374, -0.10608594170705953, -0.05936315740642308, -0.010349437086121507, 0.10456233000231933, 0.03150397581257366, 0.042813979587714435, 0.06747774195096547, -0.1018845865340628, -0.07174219092367295, 0.3545354346574192, -0.092940009910692, -0.24749483093357003, 0.1656470437432495, -0.0789261867577525, -0.11021899611895747, 0.10817731602911011, 0.13988528441322942, 0.1689659638959967, -0.15684523045259174, 0.12032030181898604, -0.060062669643896144, 0.123527944032234, 0.027488455642014742, -0.017556263337200378, 0.13454546351772798, 0.1730657611419381, 0.12824983490486694, 0.16158234740732055, -0.07751315807830214, -0.08404371768980562, -0.323426186343209, -0.19424804132169401, -0.20212700002184006, 0.04143818103524686, -0.08754104536801861, -0.17074636690003772, 0.39464698722717206, 0.09533953696200756, 0.1667599359557564, 0.05030193276667285, 0.2982095528843249, 0.14664218302907972, 0.043303811234015395, 0.09475551748936864, 0.21110101424331423, 0.2057282250099094, 0.12990497986615543, -0.20138897883384424, -0.011981176805984177, 0.17602420259844248] |
712.2529 | Singularities in Speckled Speckle | Speckle patterns produced by random optical fields with two (or more) widely
different correlation lengths exhibit speckle spots that are themselves highly
speckled. Using computer simulations and analytic theory we present results for
the point singularities of speckled speckle fields: optical vortices in scalar
(one polarization component) fields; C points in vector (two polarization
component) fields. In single correlation length fields both types of
singularities tend to be more{}-or{}-less uniformly distributed. In contrast,
the singularity structure of speckled speckle is anomalous: for some sets of
source parameters vortices and C points tend to form widely separated giant
clusters, for other parameter sets these singularities tend to form chains that
surround large empty regions. The critical point statistics of speckled speckle
is also anomalous. In scalar (vector) single correlation length fields phase
(azimuthal) extrema are always outnumbered by vortices (C points). In contrast,
in speckled speckle fields, phase extrema can outnumber vortices, and azimuthal
extrema can outnumber C points, by factors that can easily exceed $10^{4}$ for
experimentally realistic source parameters.
| physics.optics | speckle patterns produced by random optical fields with two or more widely different correlation lengths exhibit speckle spots that are themselves highly speckled using computer simulations and analytic theory we present results for the point singularities of speckled speckle fields optical vortices in scalar one polarization component fields c points in vector two polarization component fields in single correlation length fields both types of singularities tend to be moreorless uniformly distributed in contrast the singularity structure of speckled speckle is anomalous for some sets of source parameters vortices and c points tend to form widely separated giant clusters for other parameter sets these singularities tend to form chains that surround large empty regions the critical point statistics of speckled speckle is also anomalous in scalar vector single correlation length fields phase azimuthal extrema are always outnumbered by vortices c points in contrast in speckled speckle fields phase extrema can outnumber vortices and azimuthal extrema can outnumber c points by factors that can easily exceed 104 for experimentally realistic source parameters | [['speckle', 'patterns', 'produced', 'by', 'random', 'optical', 'fields', 'with', 'two', 'or', 'more', 'widely', 'different', 'correlation', 'lengths', 'exhibit', 'speckle', 'spots', 'that', 'are', 'themselves', 'highly', 'speckled', 'using', 'computer', 'simulations', 'and', 'analytic', 'theory', 'we', 'present', 'results', 'for', 'the', 'point', 'singularities', 'of', 'speckled', 'speckle', 'fields', 'optical', 'vortices', 'in', 'scalar', 'one', 'polarization', 'component', 'fields', 'c', 'points', 'in', 'vector', 'two', 'polarization', 'component', 'fields', 'in', 'single', 'correlation', 'length', 'fields', 'both', 'types', 'of', 'singularities', 'tend', 'to', 'be', 'moreorless', 'uniformly', 'distributed', 'in', 'contrast', 'the', 'singularity', 'structure', 'of', 'speckled', 'speckle', 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712.253 | Entanglement Telegraphed Communication Avoiding Light-speed Limitation
by Hong Ou Mandel Effect | Faster-than-light communication is possible via quantum entanglement in an
EPR experiment if one can overcome nature's "quantum modesty" and gain
knowledge concerning the quantum state of a single photon. Using a special EPR
source that produces precisely timed doublets of EPR photons (biphotons), I
show how one can gain additional information about the photon's polarization
state--information not accessible using the conventional one-photon-at-a-time
EPR setup. Using the Hong-Ou-Mandel effect that describes how two identical
photons combine at a neutral beamsplitter (NBS), I show how Bob can obtain
enough polarization information about his B photons to unambiguously ascertain
the polarization basis of Alice's distant measurement device which she has
deployed to measure her A photons. I am proposing, in short, that EPR + HOM =
FTL. Version 2 concludes with a refutation of its FTL claim due to Lev Vaidman.
| physics.gen-ph | fasterthanlight communication is possible via quantum entanglement in an epr experiment if one can overcome natures quantum modesty and gain knowledge concerning the quantum state of a single photon using a special epr source that produces precisely timed doublets of epr photons biphotons i show how one can gain additional information about the photons polarization stateinformation not accessible using the conventional onephotonatatime epr setup using the hongoumandel effect that describes how two identical photons combine at a neutral beamsplitter nbs i show how bob can obtain enough polarization information about his b photons to unambiguously ascertain the polarization basis of alices distant measurement device which she has deployed to measure her a photons i am proposing in short that epr hom ftl version 2 concludes with a refutation of its ftl claim due to lev vaidman | [['fasterthanlight', 'communication', 'is', 'possible', 'via', 'quantum', 'entanglement', 'in', 'an', 'epr', 'experiment', 'if', 'one', 'can', 'overcome', 'natures', 'quantum', 'modesty', 'and', 'gain', 'knowledge', 'concerning', 'the', 'quantum', 'state', 'of', 'a', 'single', 'photon', 'using', 'a', 'special', 'epr', 'source', 'that', 'produces', 'precisely', 'timed', 'doublets', 'of', 'epr', 'photons', 'biphotons', 'i', 'show', 'how', 'one', 'can', 'gain', 'additional', 'information', 'about', 'the', 'photons', 'polarization', 'stateinformation', 'not', 'accessible', 'using', 'the', 'conventional', 'onephotonatatime', 'epr', 'setup', 'using', 'the', 'hongoumandel', 'effect', 'that', 'describes', 'how', 'two', 'identical', 'photons', 'combine', 'at', 'a', 'neutral', 'beamsplitter', 'nbs', 'i', 'show', 'how', 'bob', 'can', 'obtain', 'enough', 'polarization', 'information', 'about', 'his', 'b', 'photons', 'to', 'unambiguously', 'ascertain', 'the', 'polarization', 'basis', 'of', 'alices', 'distant', 'measurement', 'device', 'which', 'she', 'has', 'deployed', 'to', 'measure', 'her', 'a', 'photons', 'i', 'am', 'proposing', 'in', 'short', 'that', 'epr', 'hom', 'ftl', 'version', '2', 'concludes', 'with', 'a', 'refutation', 'of', 'its', 'ftl', 'claim', 'due', 'to', 'lev', 'vaidman']] | [-0.1121533501582841, 0.1823898695664765, -0.12552826576348808, 0.08293252566449896, -0.09305017461517343, -0.31741395703758357, 0.0993316622985596, 0.3832960544085061, -0.23209329834552828, -0.2856746971986636, -0.021170410694968368, -0.3292397228397291, -0.03852044601441809, 0.14565126164643852, -0.07798252805239625, 0.015426884584249583, 0.0754996592109954, 0.03229421574484419, 0.013166784920677957, -0.21376629620359314, 0.27797269416817777, 0.07935233204539313, 0.2793459430216225, 0.05088846777324323, 0.14260637741363436, 0.08498264464929148, 0.006820118006456781, -0.05259169194916332, -0.04732943317692304, 0.0735756271208326, 0.2542996158081762, 0.18997387760491283, 0.2554782323996295, -0.4151349683533664, -0.1566688899088789, 0.11541516553541577, 0.11698875202348939, 0.17190327021483057, -0.023889037687331437, -0.3452814705359439, -0.011722878584017356, -0.17404617745843198, -0.09528366717578912, -0.04032436832095738, -0.01851643189729657, -0.06947075824287754, -0.22716452378641677, 0.01986566423955891, 0.07189329152202441, 0.02384461821143136, 0.07039928968771603, -0.012493529101764714, 0.015472096297889948, 0.08006459164812608, -0.04648270934552851, 0.012329785051514153, 0.13584666642084442, -0.06483640672845972, -0.23864040462369168, 0.330880357545835, -0.0646972879215523, -0.16126289754002182, 0.10367695782247378, -0.17770126875903872, -0.04970998622701262, 0.0959180131252786, 0.08254482758067617, 0.0751848544339063, -0.14755437705941774, -0.016974614705907665, -0.06888581517117995, 0.27261371233638515, 0.14467707574712457, 0.1541328228113276, 0.22492927495666123, 0.05967649908529388, 0.013741889285544555, 0.14327066702147326, -0.06763720798340661, -0.05930274922305856, -0.32330739173900197, -0.1981723172262449, -0.24024707712750468, 0.1555052705127444, -0.014793670235990753, -0.01852758709617235, 0.3650827230954612, 0.1772050471458998, 0.10662991988852068, -0.052561092472428246, 0.33618964319703754, 0.06416156082931491, 0.03125281875427054, 0.04718876153713575, 0.321099838684313, 0.1535916013384445, 0.12906043102169254, -0.22854740515144334, 0.07922887738656115, -0.03648293986744075] |
712.2531 | Single-Sweep Methods for Free Energy Calculations | A simple, efficient, and accurate method is proposed to map multi-dimensional
free energy landscapes. The method combines the temperature-accelerated
molecular dynamics (TAMD) proposed in [Maragliano & Vanden-Eijnden, Chem. Phys.
Lett. 426, 168 (2006)] with a variational reconstruction method using
radial-basis functions for the representation of the free energy. TAMD is used
to rapidly sweep through the important regions of the free energy landscape and
compute the gradient of the free energy locally at points in these regions. The
variational method is then used to reconstruct the free energy globally from
the mean force at these points. The algorithmic aspects of the single-sweep
method are explained in detail, and the method is tested on simple examples,
compared to metadynamics, and finally used to compute the free energy of the
solvated alanine dipeptide in two and four dihedral angles.
| physics.comp-ph physics.chem-ph | a simple efficient and accurate method is proposed to map multidimensional free energy landscapes the method combines the temperatureaccelerated molecular dynamics tamd proposed in maragliano vandeneijnden chem phys lett 426 168 2006 with a variational reconstruction method using radialbasis functions for the representation of the free energy tamd is used to rapidly sweep through the important regions of the free energy landscape and compute the gradient of the free energy locally at points in these regions the variational method is then used to reconstruct the free energy globally from the mean force at these points the algorithmic aspects of the singlesweep method are explained in detail and the method is tested on simple examples compared to metadynamics and finally used to compute the free energy of the solvated alanine dipeptide in two and four dihedral angles | [['a', 'simple', 'efficient', 'and', 'accurate', 'method', 'is', 'proposed', 'to', 'map', 'multidimensional', 'free', 'energy', 'landscapes', 'the', 'method', 'combines', 'the', 'temperatureaccelerated', 'molecular', 'dynamics', 'tamd', 'proposed', 'in', 'maragliano', 'vandeneijnden', 'chem', 'phys', 'lett', '426', '168', '2006', 'with', 'a', 'variational', 'reconstruction', 'method', 'using', 'radialbasis', 'functions', 'for', 'the', 'representation', 'of', 'the', 'free', 'energy', 'tamd', 'is', 'used', 'to', 'rapidly', 'sweep', 'through', 'the', 'important', 'regions', 'of', 'the', 'free', 'energy', 'landscape', 'and', 'compute', 'the', 'gradient', 'of', 'the', 'free', 'energy', 'locally', 'at', 'points', 'in', 'these', 'regions', 'the', 'variational', 'method', 'is', 'then', 'used', 'to', 'reconstruct', 'the', 'free', 'energy', 'globally', 'from', 'the', 'mean', 'force', 'at', 'these', 'points', 'the', 'algorithmic', 'aspects', 'of', 'the', 'singlesweep', 'method', 'are', 'explained', 'in', 'detail', 'and', 'the', 'method', 'is', 'tested', 'on', 'simple', 'examples', 'compared', 'to', 'metadynamics', 'and', 'finally', 'used', 'to', 'compute', 'the', 'free', 'energy', 'of', 'the', 'solvated', 'alanine', 'dipeptide', 'in', 'two', 'and', 'four', 'dihedral', 'angles']] | [-0.02554054382705578, 0.07880000684548308, -0.09942024103193371, 0.07083319288643974, 0.0028766877414589677, -0.08469012194071655, 0.036421818010233066, 0.3943494651811542, -0.2632094928968905, -0.32890247740541345, 0.022282721900760576, -0.24584371073007652, -0.13855400159265155, 0.22355919245768477, -0.04131983914757492, 0.05813897644273109, 0.05829664998584323, 0.030320491765936215, -0.04412158293546074, -0.21002097766915406, 0.23379620279495913, 0.09149232175615099, 0.2946090000026204, 0.07159818087928686, 0.15032138264462075, 0.008194984961301088, -0.020502860038713724, 0.00026861025813829017, -0.20271352669224144, 0.1509730817284435, 0.22858042825116878, 0.06294690381942523, 0.25321759931329224, -0.3975318560997645, -0.21572567098084147, 0.10243290300929436, 0.102122538526439, 0.11166394752346807, -0.022327936424321876, -0.2596555625674901, 0.0759750627360686, -0.15464875735342504, -0.1337606130995684, -0.128939857987549, -0.024789243463978722, 0.05333509199252283, -0.26333300173282626, 0.13399204345316523, -0.060243134014308454, 0.04354428709657104, -0.09062198643676109, -0.11894170692431982, -0.05383885430896448, 0.07744952764500071, 0.005742473852027346, 0.06025237553856439, 0.1420265553312169, -0.0637647875826116, -0.08253775816755714, 0.36322506315040365, -0.03214583009248599, -0.21978952727384038, 0.22609003728807525, -0.05790171458006457, -0.10366356473554064, 0.19039090732112526, 0.13911111354051778, 0.18037366662519397, -0.15611839613152875, 0.09980019026875703, 0.01829858673736453, 0.12336952772025984, 0.060280961877907865, -0.08016308033493934, 0.12435395318876814, 0.11834103982481692, 0.0484471303721269, 0.128181315152216, -0.14320208845418636, -0.14620977631269919, -0.27565562226205925, -0.16156641281397444, -0.20798722878615888, -0.017338282256214706, -0.045018809974620426, -0.14730616803108543, 0.4396583455028357, 0.13548690416608697, 0.16291330914806437, 0.018944054331492495, 0.27922174022705465, 0.08396370945222399, 0.031077407984304483, 0.12575980179632704, 0.19637525709414924, 0.11821792068097878, 0.06288935095502961, -0.24286123534009135, -0.018177790179227788, 0.1229776857248335] |
712.2532 | From Twisted Supersymmetry to Orbifold Lattices | We show how to derive the supersymmetric orbifold lattices of Cohen et al.
\cite{Cohen:2003xe,Cohen:2003qw} and Kaplan et al. \cite{Kaplan:2005ta} by
direct discretization of an appropriate twisted supersymmetric Yang-Mills
theory. We examine in detail the four supercharge two dimensional theory and
the theory with sixteen supercharges in four dimensions. The continuum limit of
the latter theory is the well known Marcus twist of ${\cal N}=4$ Yang-Mills.
The lattice models are gauge invariant and possess one exact supersymmetry at
non-zero lattice spacing.
| hep-th hep-lat | we show how to derive the supersymmetric orbifold lattices of cohen et al citecohen2003xecohen2003qw and kaplan et al citekaplan2005ta by direct discretization of an appropriate twisted supersymmetric yangmills theory we examine in detail the four supercharge two dimensional theory and the theory with sixteen supercharges in four dimensions the continuum limit of the latter theory is the well known marcus twist of cal n4 yangmills the lattice models are gauge invariant and possess one exact supersymmetry at nonzero lattice spacing | [['we', 'show', 'how', 'to', 'derive', 'the', 'supersymmetric', 'orbifold', 'lattices', 'of', 'cohen', 'et', 'al', 'citecohen2003xecohen2003qw', 'and', 'kaplan', 'et', 'al', 'citekaplan2005ta', 'by', 'direct', 'discretization', 'of', 'an', 'appropriate', 'twisted', 'supersymmetric', 'yangmills', 'theory', 'we', 'examine', 'in', 'detail', 'the', 'four', 'supercharge', 'two', 'dimensional', 'theory', 'and', 'the', 'theory', 'with', 'sixteen', 'supercharges', 'in', 'four', 'dimensions', 'the', 'continuum', 'limit', 'of', 'the', 'latter', 'theory', 'is', 'the', 'well', 'known', 'marcus', 'twist', 'of', 'cal', 'n4', 'yangmills', 'the', 'lattice', 'models', 'are', 'gauge', 'invariant', 'and', 'possess', 'one', 'exact', 'supersymmetry', 'at', 'nonzero', 'lattice', 'spacing']] | [-0.10062421811446069, 0.1942069772110419, -0.008528554656853279, 0.08205969470033708, -0.02531220756757718, -0.14281890140129969, -0.024900395921670284, 0.34153831893434894, -0.14733031403739005, -0.3023825072659514, 0.07150328274852094, -0.27515789772121185, -0.21599656858075506, 0.04140859620514302, -0.07977797559858747, 0.09483740483530056, -0.01816725197773522, 0.004530419117938249, -0.1089313172806914, -0.3473442653552271, 0.28612075181295854, 0.002101350802546128, 0.25648106881775534, 0.03142468942305408, 0.0870238434857665, 0.03567983365904253, -0.04364074382166832, -0.0033233485696538803, -0.16538485762281105, 0.14041460454105759, 0.17234845378478872, -0.0105537817789576, 0.07407191284717275, -0.42657035508025914, -0.23254351074902865, 0.028468919382132113, 0.12175254396592769, 0.14397131523284584, 0.07957313274248289, -0.2630778056396267, 0.03360861681927091, -0.1980946233902031, -0.2109922244473217, -0.0893214816132035, 0.04306383939006199, -0.11917299015495257, -0.2694969309064058, 0.08763361565816478, 0.012912984121029671, 0.09837472898503527, 0.011335727549755039, -0.13251234051914743, -0.13924419547681913, 0.038611834224026934, 0.07677421710179307, 0.029843784044854917, 0.05321633673678988, -0.13924938358057914, -0.21754806044284636, 0.3664294317818414, -0.04503424709232954, -0.2100546249331763, 0.18425146860476488, -0.14406046751910487, -0.21844533566409388, 0.07961595611264691, 0.04737243809713385, 0.15824710898913252, -0.07891437262057877, 0.29465956506931273, -0.13811587063500133, 0.11527291521764337, 0.14838074987682587, 0.01467922437362946, 0.18541814623257288, 0.08672672366269697, 0.02093261099444368, 0.11818132549524307, 0.004726804034688916, -0.17336835785476395, -0.3928941743305096, -0.11732769274385646, -0.13665005752745157, 0.11982874954358125, -0.1133299026172235, -0.14706084077270368, 0.34785194964243626, 0.11008350328670648, 0.16498812438490298, 0.05615891319198104, 0.1545627280795135, 0.1362113683269574, 0.029139480935648467, 0.04480517663670561, 0.25299095874652267, 0.2202362768763963, 0.05169667530422791, -0.2596116503760314, -0.25806334908478534, 0.283437822229014] |
712.2533 | The Viterbo Transfer as a Map of Spectra | Let $L$ and $N$ be two smooth manifolds of the same dimension. Let $j\colon
L\to T^*N$ be an exact Lagrange embedding. We denote the free loop space of $X$
by $\Lambda X$. C. Viterbo constructed a transfer map $(\Lambda j)^! \colon
H^*(\Lambda L) \to H^*(\Lambda N)$. This transfer was constructed using finite
dimensional approximation of Floer homology. In this paper we define a family
of finite dimensional approximations and realize this transfer as a map of Thom
spectra: $(\Lambda j)_! \colon (\Lambda N)^{-TN} \to (\Lambda L)^{-TL+\eta}$,
where $\eta$ is a virtual vector bundle classified by the tangential
information of $j$.
| math.AT math.SG | let l and n be two smooth manifolds of the same dimension let jcolon lto tn be an exact lagrange embedding we denote the free loop space of x by lambda x c viterbo constructed a transfer map lambda j colon hlambda l to hlambda n this transfer was constructed using finite dimensional approximation of floer homology in this paper we define a family of finite dimensional approximations and realize this transfer as a map of thom spectra lambda j_ colon lambda ntn to lambda ltleta where eta is a virtual vector bundle classified by the tangential information of j | [['let', 'l', 'and', 'n', 'be', 'two', 'smooth', 'manifolds', 'of', 'the', 'same', 'dimension', 'let', 'jcolon', 'lto', 'tn', 'be', 'an', 'exact', 'lagrange', 'embedding', 'we', 'denote', 'the', 'free', 'loop', 'space', 'of', 'x', 'by', 'lambda', 'x', 'c', 'viterbo', 'constructed', 'a', 'transfer', 'map', 'lambda', 'j', 'colon', 'hlambda', 'l', 'to', 'hlambda', 'n', 'this', 'transfer', 'was', 'constructed', 'using', 'finite', 'dimensional', 'approximation', 'of', 'floer', 'homology', 'in', 'this', 'paper', 'we', 'define', 'a', 'family', 'of', 'finite', 'dimensional', 'approximations', 'and', 'realize', 'this', 'transfer', 'as', 'a', 'map', 'of', 'thom', 'spectra', 'lambda', 'j_', 'colon', 'lambda', 'ntn', 'to', 'lambda', 'ltleta', 'where', 'eta', 'is', 'a', 'virtual', 'vector', 'bundle', 'classified', 'by', 'the', 'tangential', 'information', 'of', 'j']] | [-0.20870733995583246, 0.10511530002692568, -0.047398278071084106, 0.023329276655038648, -0.06627968360077251, -0.20401276585015685, -0.0192300011627282, 0.33784224943380164, -0.3456465956952536, -0.18793984244793954, 0.001974922481388079, -0.2521391257624885, -0.10160315515134823, 0.10775332645785929, -0.05935446864859474, -0.04030134524759658, 0.0025235632425080045, 0.07686712128376869, -0.10160963925429517, -0.20506134411588198, 0.38435163932165717, -0.03415327827737789, 0.14984481254735998, -0.005231344978315662, 0.13294355050105638, -0.008781155839449528, 0.0026670817680882683, 0.0031385754321518384, -0.26105592310466247, 0.11975452465868339, 0.32067451180391615, 0.05416632427909233, 0.20001443058271148, -0.2669467492772247, -0.17908747093940172, 0.21367323077859995, 0.17223894444642343, -0.07585176297773917, 0.09022514419536097, -0.2627947883718092, 0.12921434309747484, -0.18328206581204678, -0.12322938412126869, -0.10173722112438444, 0.1244838847731701, -0.0065706033316074, -0.33151407381331527, -0.03851588391416678, 0.08221689794174951, 0.11826633421628914, -0.02558262570939883, -0.1364405692573825, -0.10682507610945689, 0.09811104410633709, -0.0460626800718595, 0.18645479540561674, 0.0657223207744384, -0.03734085483507681, -0.08671151915320544, 0.34476803711349746, -0.13266131734108608, -0.26494099155087214, 0.0755153790332678, -0.12884378283945466, -0.10854176972343614, 0.14071792289567642, 0.061131259087811814, 0.18524415102655614, -0.04116960151139835, 0.2967015159859632, -0.07935573318808556, 0.12576907591875455, 0.1089189278474548, -0.08185777782152097, 0.09942014187673164, 0.05958955198516975, 0.04730199925563853, 0.11979074932098614, -0.052795320039031784, -0.012543286422662663, -0.35623371450587954, -0.2232234742377198, -0.1849265644289177, 0.23470852386460386, -0.108403141494791, -0.1484983167564026, 0.28487641234044925, 0.00782056426925754, 0.2840110219643461, 0.08762367316192449, 0.22106825752945786, 0.09235528271264312, 0.014365750361431503, 0.06306128265486673, 0.037487851766248546, 0.21716645057077963, 0.02748004900235118, -0.1959331366645097, -0.0810686929993369, 0.2285361908131627] |
712.2534 | Model-Independent Global Search for New High-pT Physics at CDF | Data collected in Run II of the Fermilab Tevatron are searched for
indications of new electroweak scale physics. Rather than focusing on
particular new physics scenarios, CDF data are analyzed for discrepancies with
respect to the standard model prediction. A model-independent approach (Vista)
considers the gross features of the data, and is sensitive to new large cross
section physics. A quasi-model-independent approach (Sleuth) searches for a
significant excess of events with large summed transverse momentum, and is
particularly sensitive to new electroweak scale physics that appears
predominantly in one final state. This global search for new physics in over
three hundred exclusive final states in 927 pb^-1 of ppbar collisions at
sqrt(s)=1.96 TeV reveals no such significant indication of physics beyond the
standard model.
| hep-ex | data collected in run ii of the fermilab tevatron are searched for indications of new electroweak scale physics rather than focusing on particular new physics scenarios cdf data are analyzed for discrepancies with respect to the standard model prediction a modelindependent approach vista considers the gross features of the data and is sensitive to new large cross section physics a quasimodelindependent approach sleuth searches for a significant excess of events with large summed transverse momentum and is particularly sensitive to new electroweak scale physics that appears predominantly in one final state this global search for new physics in over three hundred exclusive final states in 927 pb1 of ppbar collisions at sqrts196 tev reveals no such significant indication of physics beyond the standard model | [['data', 'collected', 'in', 'run', 'ii', 'of', 'the', 'fermilab', 'tevatron', 'are', 'searched', 'for', 'indications', 'of', 'new', 'electroweak', 'scale', 'physics', 'rather', 'than', 'focusing', 'on', 'particular', 'new', 'physics', 'scenarios', 'cdf', 'data', 'are', 'analyzed', 'for', 'discrepancies', 'with', 'respect', 'to', 'the', 'standard', 'model', 'prediction', 'a', 'modelindependent', 'approach', 'vista', 'considers', 'the', 'gross', 'features', 'of', 'the', 'data', 'and', 'is', 'sensitive', 'to', 'new', 'large', 'cross', 'section', 'physics', 'a', 'quasimodelindependent', 'approach', 'sleuth', 'searches', 'for', 'a', 'significant', 'excess', 'of', 'events', 'with', 'large', 'summed', 'transverse', 'momentum', 'and', 'is', 'particularly', 'sensitive', 'to', 'new', 'electroweak', 'scale', 'physics', 'that', 'appears', 'predominantly', 'in', 'one', 'final', 'state', 'this', 'global', 'search', 'for', 'new', 'physics', 'in', 'over', 'three', 'hundred', 'exclusive', 'final', 'states', 'in', '927', 'pb1', 'of', 'ppbar', 'collisions', 'at', 'sqrts196', 'tev', 'reveals', 'no', 'such', 'significant', 'indication', 'of', 'physics', 'beyond', 'the', 'standard', 'model']] | [-0.034218342862122005, 0.15273302888512733, -0.09744215079004906, 0.19265073912702652, -0.07930067900733481, -0.15627616468907124, 0.011218597725664655, 0.27902703050283656, -0.21109235418900366, -0.38012328587571953, 0.024521808586864462, -0.3553301338444374, 0.04671492545504964, 0.19546011692070733, 0.05304376184264378, 0.09639668214931002, 0.13830082694485393, -0.027299277675938944, -0.05382802351115031, -0.20796385847760604, 0.26459840041840627, 0.08950273957171087, 0.2698723723090464, 0.08631050701989161, 0.060658759198098954, 0.01327703142305836, -0.11996140823354043, -0.05847637454468396, -0.08258442363107714, 0.08320536482079338, 0.2678491234508974, 0.12665521671935434, 0.1848199988054412, -0.37858810866882486, -0.0991590452500649, 0.1355304123003847, 0.13815009358128713, 0.10237364367687053, -0.10672075464108569, -0.31891737270052545, 0.08446841446998259, -0.1990365436893978, -0.10580557073286224, -0.040718806407723254, 0.025644854011554873, -0.08181170015145213, -0.30579491011467913, 0.11659372772555798, -0.05467506082570781, 0.1152461496812682, -0.010551090029278589, -0.2063046404059165, -0.022822892225738012, -0.017106358784311, 0.07154390519069913, 0.07197392969805326, 0.14325413287376926, -0.19860291387979692, -0.214665565016349, 0.3730941056424091, -0.0690609015597851, -0.0970263633268675, 0.22787665096562235, -0.212660628656346, -0.18263046509368466, 0.15308788871662993, 0.30225752695884195, 0.04540884833136994, -0.24204740744279396, 0.11353775768844981, -0.02058907564459068, 0.19444721023507056, 0.011813669525567562, 0.0706464827704739, 0.20265957784478464, 0.25540782260190276, 0.02027941862451694, 0.041243780359265306, -0.1679639834258142, -0.1289294757730057, -0.44338521256952756, -0.09164817732075349, -0.08798407423009555, 0.002755417742000352, -0.025532934146007567, -0.07984367870695648, 0.3877446295453175, 0.14090272708563134, 0.2792909195977113, -0.030119050380533502, 0.2702582067708605, 0.03907496194099827, 0.11618542085747205, 0.0547988164433909, 0.33309608200685153, 0.04116647518540342, 0.16776474221936247, -0.14745899426352774, 0.04807926403103216, 0.0031399786464809893] |
712.2535 | Galaxy Triplets of the Local Supercluster. 3. Configuration Properties | Configuration properties of observed galaxy triplets are studied with the use
of the method of configuration parameters and Agekian-Anosova configuration
diagram. Statistically significant excess of the hierarchical configurations
for the galaxy triplets of the Local Supercluster (LS) is established. The
samples of the Interacting, Northern and Southern galaxy triplets do not
demonstrate the same excess. Our results testify that the model of the dark
matter concentrated in the halo of individual galaxies is convenient for
dynamically young systems to which the most of LS triplets belong, whereas the
model of the dark matter concentrated in the triplet's volume is more
convenient for the compact triplets.
| astro-ph | configuration properties of observed galaxy triplets are studied with the use of the method of configuration parameters and agekiananosova configuration diagram statistically significant excess of the hierarchical configurations for the galaxy triplets of the local supercluster ls is established the samples of the interacting northern and southern galaxy triplets do not demonstrate the same excess our results testify that the model of the dark matter concentrated in the halo of individual galaxies is convenient for dynamically young systems to which the most of ls triplets belong whereas the model of the dark matter concentrated in the triplets volume is more convenient for the compact triplets | [['configuration', 'properties', 'of', 'observed', 'galaxy', 'triplets', 'are', 'studied', 'with', 'the', 'use', 'of', 'the', 'method', 'of', 'configuration', 'parameters', 'and', 'agekiananosova', 'configuration', 'diagram', 'statistically', 'significant', 'excess', 'of', 'the', 'hierarchical', 'configurations', 'for', 'the', 'galaxy', 'triplets', 'of', 'the', 'local', 'supercluster', 'ls', 'is', 'established', 'the', 'samples', 'of', 'the', 'interacting', 'northern', 'and', 'southern', 'galaxy', 'triplets', 'do', 'not', 'demonstrate', 'the', 'same', 'excess', 'our', 'results', 'testify', 'that', 'the', 'model', 'of', 'the', 'dark', 'matter', 'concentrated', 'in', 'the', 'halo', 'of', 'individual', 'galaxies', 'is', 'convenient', 'for', 'dynamically', 'young', 'systems', 'to', 'which', 'the', 'most', 'of', 'ls', 'triplets', 'belong', 'whereas', 'the', 'model', 'of', 'the', 'dark', 'matter', 'concentrated', 'in', 'the', 'triplets', 'volume', 'is', 'more', 'convenient', 'for', 'the', 'compact', 'triplets']] | [-0.09205287289492284, 0.10009088011261505, -0.07910442992355317, 0.13762129363133752, -0.06674027656061718, -0.05841638427675487, -0.006696920834516417, 0.3721204534029731, -0.1605540798146439, -0.33880577222085917, 0.021079434213998657, -0.27521480362002665, -0.033443916987520285, 0.1478209000566634, 0.04165878131663284, -0.06746787302164683, 0.054081475286063954, 0.02647634122807246, -0.02992573468005643, -0.28328178535426, 0.321595437054594, 0.045228019455232873, 0.2526153922439195, -0.07705984173270945, 0.07740692208216597, -0.047998687162852056, -0.049864595827574916, -0.0288786304434045, -0.08167701592600889, 0.11979554153871365, 0.20667556850597835, 0.11576053118691422, 0.18924487199938783, -0.3526783610264269, -0.1797729262168734, 0.1556730364682153, 0.1663623385158224, 0.04594748153221399, -0.08821885365292613, -0.3023101396751232, 0.10603191621843368, -0.15866419934004974, -0.19014989709159216, 0.013738877954892814, -0.001283258772813357, 0.03770465274842886, -0.24043733422877267, 0.15288115779940897, 0.055577903298679024, 0.017309632600070193, -0.08074466247210065, -0.13554972011703426, -0.10230140094063245, 0.0860053726372336, 0.028134290639382716, -0.012726390998488149, 0.16754450255449718, -0.18430466213836694, -0.042585965554910496, 0.4074651960086507, -0.04747517999763099, -0.10380742245111972, 0.22360477689093947, -0.17338746319560763, -0.1808893911477823, 0.12506568737444468, 0.11199852367504858, 0.14717419882519886, -0.17929858365991655, 0.07398909792783133, -0.09141476154596043, 0.19961423977600554, -0.02723902428540616, 0.0357344879061062, 0.2967724187944371, 0.13717694576972952, 0.07740325178243578, 0.1278558485316283, -0.18456738062489492, -0.09799702988507655, -0.278779432045457, -0.13102970391404456, -0.15714024719468747, -0.0599007852521866, -0.09970330767072692, -0.18019848969729188, 0.4160476891646305, 0.09468178885379949, 0.2108699419320776, 0.008073367895541686, 0.270339088801008, 0.03746374076245747, 0.110446802918047, 0.04401706279112169, 0.28776276350701946, 0.13828709209561707, 0.0376298431163797, -0.22629937331210107, 0.04550544510157824, -0.01002977679644783] |
712.2536 | Observational Cosmology with the ELT and JWST | I will focus on the study of the Cosmic Dark ages and in particular on the
properties of the galaxies responsible for the reionization of Hydrogen and on
the possibility of detecting the first generation of galaxies and the first
stars. I will make the case that there is a large and widening gap between our
present and future capabilities in imaging and what we can follow-up
spectroscopically even with the NIRSpec spectrograph on the James Webb Space
Telescope because of its moderate field of view. A high throughput, high
multiplexing near-IR spectrometer on the Extremely Large Telescope would be
important to contain this gap. Studying the Lyman alpha forest of QSOs at z>=7
and measuring the kinematics of small mass galaxies at high-z are also problems
unsuited to JWST and where a high-throughput, medium-high resolution near-IR
spectrograph on the ELT would be essential.
| astro-ph | i will focus on the study of the cosmic dark ages and in particular on the properties of the galaxies responsible for the reionization of hydrogen and on the possibility of detecting the first generation of galaxies and the first stars i will make the case that there is a large and widening gap between our present and future capabilities in imaging and what we can followup spectroscopically even with the nirspec spectrograph on the james webb space telescope because of its moderate field of view a high throughput high multiplexing nearir spectrometer on the extremely large telescope would be important to contain this gap studying the lyman alpha forest of qsos at z7 and measuring the kinematics of small mass galaxies at highz are also problems unsuited to jwst and where a highthroughput mediumhigh resolution nearir spectrograph on the elt would be essential | [['i', 'will', 'focus', 'on', 'the', 'study', 'of', 'the', 'cosmic', 'dark', 'ages', 'and', 'in', 'particular', 'on', 'the', 'properties', 'of', 'the', 'galaxies', 'responsible', 'for', 'the', 'reionization', 'of', 'hydrogen', 'and', 'on', 'the', 'possibility', 'of', 'detecting', 'the', 'first', 'generation', 'of', 'galaxies', 'and', 'the', 'first', 'stars', 'i', 'will', 'make', 'the', 'case', 'that', 'there', 'is', 'a', 'large', 'and', 'widening', 'gap', 'between', 'our', 'present', 'and', 'future', 'capabilities', 'in', 'imaging', 'and', 'what', 'we', 'can', 'followup', 'spectroscopically', 'even', 'with', 'the', 'nirspec', 'spectrograph', 'on', 'the', 'james', 'webb', 'space', 'telescope', 'because', 'of', 'its', 'moderate', 'field', 'of', 'view', 'a', 'high', 'throughput', 'high', 'multiplexing', 'nearir', 'spectrometer', 'on', 'the', 'extremely', 'large', 'telescope', 'would', 'be', 'important', 'to', 'contain', 'this', 'gap', 'studying', 'the', 'lyman', 'alpha', 'forest', 'of', 'qsos', 'at', 'z7', 'and', 'measuring', 'the', 'kinematics', 'of', 'small', 'mass', 'galaxies', 'at', 'highz', 'are', 'also', 'problems', 'unsuited', 'to', 'jwst', 'and', 'where', 'a', 'highthroughput', 'mediumhigh', 'resolution', 'nearir', 'spectrograph', 'on', 'the', 'elt', 'would', 'be', 'essential']] | [-0.0790285498692861, 0.14989565084397327, -0.05638878348205859, 0.07466486074392581, -0.12337592248998892, -0.08896197267394099, 0.03454616561874799, 0.42165561546830255, -0.14793037633515066, -0.3306783794962232, 0.10571950762176938, -0.294111756743708, -0.07349086607508878, 0.23534649889916182, -0.030089562341648463, -0.012466501978552615, 0.09712009937114392, -0.12014842553374667, 0.004582608340974225, -0.30198018183647135, 0.3207803286301593, 0.17939037882024422, 0.1982933968813288, 0.019136129796000507, 0.08978150666371221, -0.06665769982242233, -0.10750486120297056, 0.0003716653734752779, -0.14870374090489552, 0.0780402959385861, 0.2883881378867146, 0.15460531281617781, 0.2787955880194204, -0.349841106010394, -0.15216611136323385, 0.10844020881308501, 0.16845081364726866, 0.019833349312345188, -0.06876512503206161, -0.3048603100453167, 0.07705427029294595, -0.0956471010277811, -0.14976120559084746, 0.017753795966402523, -0.0004968960476819322, 0.033651813720805675, -0.20559035996888675, 0.017278634984096344, -0.04034057353176953, 0.09849656765193988, -0.10873892127953393, -0.0908447386625792, -0.028534585681174778, 0.11768872083788058, -0.05181736915094209, 0.014658032413636748, 0.09093053369522547, -0.23027565593979993, 0.0036286829175272337, 0.41900155951023205, -0.09625053474640784, 0.0019508920360951582, 0.21416954122509602, -0.25455095219028107, -0.19150173231739448, 0.10248373002266614, 0.1984313417819471, 0.13976125046934207, -0.10192706220550463, 0.08842853747127163, 0.015707436428379476, 0.207522694965721, 0.0304626182155011, 0.1205259919742174, 0.3070761969882167, 0.16486984760235324, 0.08692930387850437, 0.06300750103319944, -0.26298834953437716, 0.033097601309742056, -0.2739098226561004, -0.20534157568100556, -0.16652188588664607, 0.09578990386136058, -0.1113301766349145, -0.09495103187833188, 0.33455502270630355, 0.17053197212711288, 0.18906519613826983, 0.06300918376655318, 0.3271382379462011, 0.0672976987593251, 0.13996421890139268, -0.006306147474485139, 0.32397588333373684, 0.10328592183456446, 0.13593711119998866, -0.23647493047368093, 0.04387090807560728, -0.0125222979711705] |
712.2537 | Betti numbers of monomial ideals and shifted skew shapes | We present two new problems on lower bounds for resolution Betti numbers of
monomial ideals generated in a fixed degree. The first concerns any such ideal
and bounds the total Betti numbers, while the second concerns ideals that are
quadratic and bihomogeneous with respect to two variable sets, but gives a more
finely graded lower bound.
These problems are solved for certain classes of ideals that generalize (in
two different directions) the edge ideals of threshold graphs and Ferrers
graphs. In the process, we produce particularly simple cellular linear
resolutions for strongly stable and squarefree strongly stable ideals generated
in a fixed degree, and combinatorial interpretations for the Betti numbers of
other classes of ideals, all of which are independent of the coefficient field.
| math.AC math.CO | we present two new problems on lower bounds for resolution betti numbers of monomial ideals generated in a fixed degree the first concerns any such ideal and bounds the total betti numbers while the second concerns ideals that are quadratic and bihomogeneous with respect to two variable sets but gives a more finely graded lower bound these problems are solved for certain classes of ideals that generalize in two different directions the edge ideals of threshold graphs and ferrers graphs in the process we produce particularly simple cellular linear resolutions for strongly stable and squarefree strongly stable ideals generated in a fixed degree and combinatorial interpretations for the betti numbers of other classes of ideals all of which are independent of the coefficient field | [['we', 'present', 'two', 'new', 'problems', 'on', 'lower', 'bounds', 'for', 'resolution', 'betti', 'numbers', 'of', 'monomial', 'ideals', 'generated', 'in', 'a', 'fixed', 'degree', 'the', 'first', 'concerns', 'any', 'such', 'ideal', 'and', 'bounds', 'the', 'total', 'betti', 'numbers', 'while', 'the', 'second', 'concerns', 'ideals', 'that', 'are', 'quadratic', 'and', 'bihomogeneous', 'with', 'respect', 'to', 'two', 'variable', 'sets', 'but', 'gives', 'a', 'more', 'finely', 'graded', 'lower', 'bound', 'these', 'problems', 'are', 'solved', 'for', 'certain', 'classes', 'of', 'ideals', 'that', 'generalize', 'in', 'two', 'different', 'directions', 'the', 'edge', 'ideals', 'of', 'threshold', 'graphs', 'and', 'ferrers', 'graphs', 'in', 'the', 'process', 'we', 'produce', 'particularly', 'simple', 'cellular', 'linear', 'resolutions', 'for', 'strongly', 'stable', 'and', 'squarefree', 'strongly', 'stable', 'ideals', 'generated', 'in', 'a', 'fixed', 'degree', 'and', 'combinatorial', 'interpretations', 'for', 'the', 'betti', 'numbers', 'of', 'other', 'classes', 'of', 'ideals', 'all', 'of', 'which', 'are', 'independent', 'of', 'the', 'coefficient', 'field']] | [-0.19457193019503216, 0.1463741507689138, -0.006645963565754373, 0.08223539998906775, -0.07547673284857263, -0.16962786452589376, -0.030569400257175607, 0.3152591875649147, -0.35110652793739594, -0.25639673721490264, 0.11648909363805526, -0.2646769463242362, -0.08645917415325981, 0.24139861082996153, -0.10418308864069742, 0.04413973067646786, 0.05463745882509336, 0.05822321658413256, -0.027629995039763256, -0.3325940865061937, 0.40966853439233325, -0.0032985933470509707, 0.21009432165432843, 0.04871576591657715, 0.08757343054598858, -0.056418320299276424, -0.030925148046545444, 0.06395255479841463, -0.20618772990271664, 0.17652686683446048, 0.3061602164450432, 0.10517191564923128, 0.20843006089900531, -0.40462770252375896, -0.07089157227516896, 0.21712283805508406, 0.1055824919941745, 0.012379639264714394, -0.0017188964032562404, -0.14489493093213007, 0.13757035854336386, -0.13256526678906672, -0.15762478166124633, -0.08973641861079922, 0.03791320021733672, 0.07716381506977468, -0.3079078961989932, 0.007139348259736453, 0.11519230346030165, 0.14133098595325025, -0.013802653465855626, -0.18624958116936707, -0.05026739893946797, 0.05348117169999187, -0.04801532964906543, -0.07767200685902348, 0.03824405144569614, -0.18024681756768615, -0.20774046841618274, 0.34255484116053386, -0.0036450511355313564, -0.23881497806418808, 0.16094564682533663, -0.19767637241015873, -0.17014372602833674, 0.13920784279734136, 0.0979693845034607, 0.17703385463344953, -0.017139065548807623, 0.10364574910237288, -0.11195276936726464, 0.07365175573185327, 0.14613194096337764, 0.06362905077290751, 0.17192801895491297, 0.06386144972226072, 0.12374844046444783, 0.17128980735499005, 0.005659434044989006, -0.04478624183872354, -0.30435666722816324, -0.15307083243415917, -0.16805419827634918, 0.03028017454292445, -0.16743214285100205, -0.1962079946223962, 0.4578609137134927, 0.09971391317254354, 0.21940425679748576, 0.1454030555051436, 0.2542226942905766, 0.07511219375526472, 0.019528170131267078, 0.08380333425837659, 0.12491589244605313, 0.18735235836356878, -0.014760387635173938, -0.09723524189945648, 0.05010336946936384, 0.1651255358423617] |
712.2538 | The signature of chromospheric heating in Ca II H spectra | We analyze a 1-hour time series of Ca II H intensity spectra and polarimetric
spectra around 630 nm to derive the signature of the chromospheric heating and
to investigate its relation to magnetic fields. We derived several
characteristic quantities of Ca II H to define the chromospheric atmosphere
properties. We study the power of the Fourier transform at different
wavelengths and their phase relations. We perform local thermodynamic
equilibrium inversions of the data to obtain the magnetic field, once including
the Ca spectra. We find that the emission in the Ca II H line core at locations
without detectable photospheric polarization signal is due to waves that
propagate from low forming continuum layers in the line wing up to the line
core. The phase differences of intensity oscillations at different wavelengths
indicate standing waves for v < 2 mHz and propagating waves for higher
frequencies. The waves steepen into shocks in the chromosphere. On average,
shocks are both preceded and followed by intensity reductions. In field-free
regions, the profiles show emission about half of the time. The correlation
between wavelengths and the decorrelation time is significantly higher in the
presence of magnetic fields than for field-free areas. The average Ca II H
profile in the presence of magnetic fields contains emission features symmetric
to the line core and an asymmetric contribution, where mainly the blue H2V
emission peak is increased. We find that acoustic waves steepening into shocks
are responsible for the emission in the Ca II H line core for locations without
photospheric magnetic fields. We suggest using wavelengths in the line wing of
Ca II H, where LTE still applies, to compare theoretical heating models with
observations.
| astro-ph | we analyze a 1hour time series of ca ii h intensity spectra and polarimetric spectra around 630 nm to derive the signature of the chromospheric heating and to investigate its relation to magnetic fields we derived several characteristic quantities of ca ii h to define the chromospheric atmosphere properties we study the power of the fourier transform at different wavelengths and their phase relations we perform local thermodynamic equilibrium inversions of the data to obtain the magnetic field once including the ca spectra we find that the emission in the ca ii h line core at locations without detectable photospheric polarization signal is due to waves that propagate from low forming continuum layers in the line wing up to the line core the phase differences of intensity oscillations at different wavelengths indicate standing waves for v 2 mhz and propagating waves for higher frequencies the waves steepen into shocks in the chromosphere on average shocks are both preceded and followed by intensity reductions in fieldfree regions the profiles show emission about half of the time the correlation between wavelengths and the decorrelation time is significantly higher in the presence of magnetic fields than for fieldfree areas the average ca ii h profile in the presence of magnetic fields contains emission features symmetric to the line core and an asymmetric contribution where mainly the blue h2v emission peak is increased we find that acoustic waves steepening into shocks are responsible for the emission in the ca ii h line core for locations without photospheric magnetic fields we suggest using wavelengths in the line wing of ca ii h where lte still applies to compare theoretical heating models with observations | [['we', 'analyze', 'a', '1hour', 'time', 'series', 'of', 'ca', 'ii', 'h', 'intensity', 'spectra', 'and', 'polarimetric', 'spectra', 'around', '630', 'nm', 'to', 'derive', 'the', 'signature', 'of', 'the', 'chromospheric', 'heating', 'and', 'to', 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712.2539 | Nonergodicity and central limit behavior for systems with long-range
interactions | In this paper we discuss the nonergodic behavior for a class of long-standing
quasi-stationary states in a paradigmatic model of long-range interacting
systems, i.e. the HMF model. We show that ensemble averages and time averages
for velocities probability density functions (pdfs) do not coincide and in
particular the latter exhibit a tendency to converge towards a q-Gaussian
attractor instead of the usual Gaussian one predicted by the Central Limit
Theorem, when ergodicity applies.
| cond-mat.stat-mech astro-ph nucl-th physics.plasm-ph | in this paper we discuss the nonergodic behavior for a class of longstanding quasistationary states in a paradigmatic model of longrange interacting systems ie the hmf model we show that ensemble averages and time averages for velocities probability density functions pdfs do not coincide and in particular the latter exhibit a tendency to converge towards a qgaussian attractor instead of the usual gaussian one predicted by the central limit theorem when ergodicity applies | [['in', 'this', 'paper', 'we', 'discuss', 'the', 'nonergodic', 'behavior', 'for', 'a', 'class', 'of', 'longstanding', 'quasistationary', 'states', 'in', 'a', 'paradigmatic', 'model', 'of', 'longrange', 'interacting', 'systems', 'ie', 'the', 'hmf', 'model', 'we', 'show', 'that', 'ensemble', 'averages', 'and', 'time', 'averages', 'for', 'velocities', 'probability', 'density', 'functions', 'pdfs', 'do', 'not', 'coincide', 'and', 'in', 'particular', 'the', 'latter', 'exhibit', 'a', 'tendency', 'to', 'converge', 'towards', 'a', 'qgaussian', 'attractor', 'instead', 'of', 'the', 'usual', 'gaussian', 'one', 'predicted', 'by', 'the', 'central', 'limit', 'theorem', 'when', 'ergodicity', 'applies']] | [-0.10186533576311314, 0.1759191695600748, -0.13361415705860477, 0.14318282129593857, 0.05040172280501319, -0.14112149698226012, 0.05341863257918915, 0.3387946562509831, -0.2366638987465468, -0.19085656822187036, 0.04015174700578751, -0.2553857156802734, -0.1361323594632367, 0.15175642614246487, -0.03674181787152508, 0.07568259779619027, 0.04804124565291129, 0.0591954660844313, -0.08232572559611745, -0.1728425579646296, 0.3250730180321899, -0.0030526508200811606, 0.30142777321273334, -0.014926525598315343, 0.07394356616096545, 0.010312776505213138, 0.04727819534528949, 0.04680956206890461, -0.12472720746294202, 0.043489178364350116, 0.20801598915339078, 0.05709767270169846, 0.3066203612579058, -0.38612824823860437, -0.236812710838571, 0.175821064269706, 0.1826037606607153, 0.11295122553415801, -0.010723168489663568, -0.28216909277826957, 0.03120804295479639, -0.1829279869562015, -0.2359099655208012, -0.09439783607775422, 0.014240131018147485, 0.08548518130874695, -0.2598571784105407, 0.17263046331856757, 0.16818544753406145, 0.03659723852186987, -0.06323938367709722, -0.07323319305448908, 0.006030858755877165, 0.10038470842896272, 0.042422771897192485, -0.00198005833854414, 0.12834875912035573, -0.13881137840488084, -0.11578782286801159, 0.3490987999415765, -0.09897264870591717, -0.20218633498664793, 0.18919334106453478, -0.20156265747388952, -0.21522676453555692, 0.10708647939593416, 0.14520784508283824, 0.09417930558604533, -0.12102574678811671, 0.09219753988284923, -0.07669487879579658, 0.1399059480515449, 0.010049026880464326, 0.04295792548011427, 0.2108384830213777, 0.10157893498249557, 0.10453879327691887, 0.13385055556076847, -0.05846576879541741, -0.2352057880186157, -0.2870062210482277, -0.15504159781546012, -0.20299427509818174, 0.08273222105763374, -0.07193091627782887, -0.20953493682693128, 0.38476879272150666, 0.1944081624650894, 0.23963035392409113, 0.16326508226434458, 0.20680533462420922, 0.15927158616330117, -0.020964189636686892, 0.09608754587091811, 0.20734638419665702, 0.14023584490067847, 0.09790552455982933, -0.16109488984850578, 0.07873279202652916, 0.09039309547180692] |
712.254 | Neutron Stars: Formed, Spun and Kicked | One of the primary goals when studying stellar systems with neutron stars has
been to reveal the physical properties of progenitors and understand how
neutron star spins and birth kicks are determined. Over the years a consensus
understanding had been developed, but recently some of the basic elements of
this understanding are being challenged by current observations of some binary
systems and their theoretical interpretation. In what follows we review such
recent developments and highlight how they are interconnected; we particularly
emphasize some of the assumptions and caveats of theoretical interpretations
and examine their validity (e.g., in connection to the unknown radial
velocities of pulsars or the nuances of multi-dimensional statistical
analysis). The emerging picture does not erase our earlier understanding;
instead it broadens it as it reveals additional pathways for neutron star
formation and evolution: neutron stars probably form at the end of both core
collapse of Fe cores of massive stars and electron-capture supernovae of ONeMg
cores of lower-mass stars; birth kicks are required to be high (well in excess
of 100 km/s) for some neutron stars and low (< 100 km/s) for others depending
on the formation process; and spin up may occur not just through Roche-lobe
overflow but also through wind accretion or phases of hypercritical accretion
during common envelope evolution.
| astro-ph | one of the primary goals when studying stellar systems with neutron stars has been to reveal the physical properties of progenitors and understand how neutron star spins and birth kicks are determined over the years a consensus understanding had been developed but recently some of the basic elements of this understanding are being challenged by current observations of some binary systems and their theoretical interpretation in what follows we review such recent developments and highlight how they are interconnected we particularly emphasize some of the assumptions and caveats of theoretical interpretations and examine their validity eg in connection to the unknown radial velocities of pulsars or the nuances of multidimensional statistical analysis the emerging picture does not erase our earlier understanding instead it broadens it as it reveals additional pathways for neutron star formation and evolution neutron stars probably form at the end of both core collapse of fe cores of massive stars and electroncapture supernovae of onemg cores of lowermass stars birth kicks are required to be high well in excess of 100 kms for some neutron stars and low 100 kms for others depending on the formation process and spin up may occur not just through rochelobe overflow but also through wind accretion or phases of hypercritical accretion during common envelope evolution | [['one', 'of', 'the', 'primary', 'goals', 'when', 'studying', 'stellar', 'systems', 'with', 'neutron', 'stars', 'has', 'been', 'to', 'reveal', 'the', 'physical', 'properties', 'of', 'progenitors', 'and', 'understand', 'how', 'neutron', 'star', 'spins', 'and', 'birth', 'kicks', 'are', 'determined', 'over', 'the', 'years', 'a', 'consensus', 'understanding', 'had', 'been', 'developed', 'but', 'recently', 'some', 'of', 'the', 'basic', 'elements', 'of', 'this', 'understanding', 'are', 'being', 'challenged', 'by', 'current', 'observations', 'of', 'some', 'binary', 'systems', 'and', 'their', 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712.2541 | The Poisson bracket on free null initial data for gravity | Free initial data for general relativity on a pair of intersecting null
hypersurfaces are well known, but the lack of a Poisson bracket and concerns
about caustics have stymied the development of a constraint free canonical
theory. Here it is pointed out how caustics and generator crossings can be
neatly avoided and a Poisson bracket on free data is given. On sufficiently
regular functions of the solution spacetime geometry this bracket matches the
Poisson bracket defined on such functions by the Hilbert action via Peierls'
prescription. The symplectic form is also given in terms of free data.
| gr-qc | free initial data for general relativity on a pair of intersecting null hypersurfaces are well known but the lack of a poisson bracket and concerns about caustics have stymied the development of a constraint free canonical theory here it is pointed out how caustics and generator crossings can be neatly avoided and a poisson bracket on free data is given on sufficiently regular functions of the solution spacetime geometry this bracket matches the poisson bracket defined on such functions by the hilbert action via peierls prescription the symplectic form is also given in terms of free data | [['free', 'initial', 'data', 'for', 'general', 'relativity', 'on', 'a', 'pair', 'of', 'intersecting', 'null', 'hypersurfaces', 'are', 'well', 'known', 'but', 'the', 'lack', 'of', 'a', 'poisson', 'bracket', 'and', 'concerns', 'about', 'caustics', 'have', 'stymied', 'the', 'development', 'of', 'a', 'constraint', 'free', 'canonical', 'theory', 'here', 'it', 'is', 'pointed', 'out', 'how', 'caustics', 'and', 'generator', 'crossings', 'can', 'be', 'neatly', 'avoided', 'and', 'a', 'poisson', 'bracket', 'on', 'free', 'data', 'is', 'given', 'on', 'sufficiently', 'regular', 'functions', 'of', 'the', 'solution', 'spacetime', 'geometry', 'this', 'bracket', 'matches', 'the', 'poisson', 'bracket', 'defined', 'on', 'such', 'functions', 'by', 'the', 'hilbert', 'action', 'via', 'peierls', 'prescription', 'the', 'symplectic', 'form', 'is', 'also', 'given', 'in', 'terms', 'of', 'free', 'data']] | [-0.185459727596626, 0.08766091346126242, -0.10533140980897798, 0.14248409807038753, -0.11702996346686688, -0.10990548993643258, -0.011271358425632963, 0.3199693834572339, -0.29139243579978485, -0.2798532178798287, 0.07621005438532219, -0.2344516848223572, -0.18156564224285754, 0.19213274665676133, -0.11252318474358504, 0.02894329058472067, 0.1167484777715518, 0.09759015465616104, -0.10312165129814566, -0.24153078046444917, 0.42529161366605267, 0.09528268085907876, 0.25035987649900243, 0.021823968330263784, 0.14131031190549245, 0.021502448260284884, -0.0331352086228885, 0.0028911545373422583, -0.14435258128478662, 0.07294472476909149, 0.22032732059507026, 0.11928733453615424, 0.18669442102773903, -0.4245579258260346, -0.18675159846346095, 0.0875848234287876, 0.134298685323639, 0.06658929223722788, -0.008697326069448105, -0.2774760447269709, 0.05295099326893663, -0.14315261223267034, -0.15561030896803, -0.05455248754893996, -0.0036858963568877313, 0.026710279866784196, -0.20529424881120933, 0.06677890435244034, 0.0638781564187777, 0.0703891649573427, -0.06196880019173871, -0.05336948912458725, -0.08850102230532038, 0.027366323007712353, 0.010093431538162926, 0.07382397412216847, 0.12137008832825213, -0.08248982908559445, -0.09370629893635045, 0.41418199556082796, -0.005864491311175576, -0.3168885864787879, 0.11958780066475042, -0.15289777884086997, -0.14739866896062015, 0.1151846620379035, 0.06792011051486756, 0.12074414227930733, -0.1388344934747852, 0.19305372800853238, -0.0477839587496344, 0.027454699514452945, 0.13185397053099016, -0.028253969738197503, 0.21888912139585262, 0.07541849858069927, 0.08229149931072037, 0.08628551282598301, -0.022410798068974436, -0.14927428413528143, -0.3891555081822516, -0.1546562900142648, -0.19418075190108156, 0.11397298496485371, -0.12244238971793164, -0.21448965602525577, 0.362256189873058, 0.06118569216395719, 0.1876518145040369, 0.03989614396999331, 0.2517540674925465, 0.16644127237293677, 0.08171423268744472, 0.06035642188580073, 0.14215152271898443, 0.15283331482373563, 0.020976273213349973, -0.11665817850855054, 0.00317595694118093, 0.10844542034277596] |
712.2542 | A gravitational-wave probe of effective quantum gravity | The Green-Schwarz anomaly-cancelling mechanism in string theories requires a
Chern-Simons term in the Einstein-Hilbert action, which leads to an amplitude
birefringence of spacetime for the propagation of gravitational waves. While
the degree of birefringence may be intrinsically small, its effects on a
gravitational wave will accumulate as the wave propagates. The proposed Laser
Interferometer Space Antenna (LISA) will be sensitive enough to observe the
gravitational waves from sources at cosmological distances great enough that
interesting bounds on the Chern-Simons may be found. Here we evaluate the
effect of a Chern-Simons induced spacetime birefringence to the propagation of
gravitational waves from such systems. We find that gravitational waves from in
coalescing binary black hole system are imprinted with a signature of
Chern-Simons gravity. This signature appears as a time-dependent change in the
apparent orientation of the binary's orbital angular momentum with respect to
the observer line-of-sight, with the change magnitude reflecting the integrated
history of the Chern-Simons coupling over the worldline of a radiation
wavefront. While spin-orbit coupling in the binary system will also lead to an
evolution of the system's orbital angular momentum, the time dependence and
other details of this \emph{real} effect are different than the \emph{apparent}
effect produced by Chern-Simons birefringence, allowing the two effects to be
separately identified.
| gr-qc | the greenschwarz anomalycancelling mechanism in string theories requires a chernsimons term in the einsteinhilbert action which leads to an amplitude birefringence of spacetime for the propagation of gravitational waves while the degree of birefringence may be intrinsically small its effects on a gravitational wave will accumulate as the wave propagates the proposed laser interferometer space antenna lisa will be sensitive enough to observe the gravitational waves from sources at cosmological distances great enough that interesting bounds on the chernsimons may be found here we evaluate the effect of a chernsimons induced spacetime birefringence to the propagation of gravitational waves from such systems we find that gravitational waves from in coalescing binary black hole system are imprinted with a signature of chernsimons gravity this signature appears as a timedependent change in the apparent orientation of the binarys orbital angular momentum with respect to the observer lineofsight with the change magnitude reflecting the integrated history of the chernsimons coupling over the worldline of a radiation wavefront while spinorbit coupling in the binary system will also lead to an evolution of the systems orbital angular momentum the time dependence and other details of this emphreal effect are different than the emphapparent effect produced by chernsimons birefringence allowing the two effects to be separately identified | [['the', 'greenschwarz', 'anomalycancelling', 'mechanism', 'in', 'string', 'theories', 'requires', 'a', 'chernsimons', 'term', 'in', 'the', 'einsteinhilbert', 'action', 'which', 'leads', 'to', 'an', 'amplitude', 'birefringence', 'of', 'spacetime', 'for', 'the', 'propagation', 'of', 'gravitational', 'waves', 'while', 'the', 'degree', 'of', 'birefringence', 'may', 'be', 'intrinsically', 'small', 'its', 'effects', 'on', 'a', 'gravitational', 'wave', 'will', 'accumulate', 'as', 'the', 'wave', 'propagates', 'the', 'proposed', 'laser', 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712.2543 | Magnetized Ekman Layer and Stewartson Layer in a Magnetized
Taylor-Couette Flow | In this paper we present axisymmetric nonlinear simulations of magnetized
Ekman and Stewartson layers in a magnetized Taylor-Couette flow with a
centrifugally stable angular-momemtum profile and with a magnetic Reynolds
number below the threshold of magnetorotational instability. The magnetic field
is found to inhibit the Ekman suction. The width of the Ekman layer is reduced
with increased magnetic field normal to the end plate. A uniformly-rotating
region forms near the outer cylinder. A strong magnetic field leads to a steady
Stewartson layer emanating from the junction between differentially rotating
rings at the endcaps. The Stewartson layer becomes thinner with larger Reynolds
number and penetrates deeper into the bulk flow with stronger magnetic field
and larger Reynolds number. However, at Reynolds number larger than a critical
value $\sim 600$, axisymmetric, and perhaps also nonaxisymmetric, instabilities
occur and result in a less prominent Stewartson layer that extends less far
from the boundary.
| physics.flu-dyn astro-ph physics.plasm-ph | in this paper we present axisymmetric nonlinear simulations of magnetized ekman and stewartson layers in a magnetized taylorcouette flow with a centrifugally stable angularmomemtum profile and with a magnetic reynolds number below the threshold of magnetorotational instability the magnetic field is found to inhibit the ekman suction the width of the ekman layer is reduced with increased magnetic field normal to the end plate a uniformlyrotating region forms near the outer cylinder a strong magnetic field leads to a steady stewartson layer emanating from the junction between differentially rotating rings at the endcaps the stewartson layer becomes thinner with larger reynolds number and penetrates deeper into the bulk flow with stronger magnetic field and larger reynolds number however at reynolds number larger than a critical value sim 600 axisymmetric and perhaps also nonaxisymmetric instabilities occur and result in a less prominent stewartson layer that extends less far from the boundary | [['in', 'this', 'paper', 'we', 'present', 'axisymmetric', 'nonlinear', 'simulations', 'of', 'magnetized', 'ekman', 'and', 'stewartson', 'layers', 'in', 'a', 'magnetized', 'taylorcouette', 'flow', 'with', 'a', 'centrifugally', 'stable', 'angularmomemtum', 'profile', 'and', 'with', 'a', 'magnetic', 'reynolds', 'number', 'below', 'the', 'threshold', 'of', 'magnetorotational', 'instability', 'the', 'magnetic', 'field', 'is', 'found', 'to', 'inhibit', 'the', 'ekman', 'suction', 'the', 'width', 'of', 'the', 'ekman', 'layer', 'is', 'reduced', 'with', 'increased', 'magnetic', 'field', 'normal', 'to', 'the', 'end', 'plate', 'a', 'uniformlyrotating', 'region', 'forms', 'near', 'the', 'outer', 'cylinder', 'a', 'strong', 'magnetic', 'field', 'leads', 'to', 'a', 'steady', 'stewartson', 'layer', 'emanating', 'from', 'the', 'junction', 'between', 'differentially', 'rotating', 'rings', 'at', 'the', 'endcaps', 'the', 'stewartson', 'layer', 'becomes', 'thinner', 'with', 'larger', 'reynolds', 'number', 'and', 'penetrates', 'deeper', 'into', 'the', 'bulk', 'flow', 'with', 'stronger', 'magnetic', 'field', 'and', 'larger', 'reynolds', 'number', 'however', 'at', 'reynolds', 'number', 'larger', 'than', 'a', 'critical', 'value', 'sim', '600', 'axisymmetric', 'and', 'perhaps', 'also', 'nonaxisymmetric', 'instabilities', 'occur', 'and', 'result', 'in', 'a', 'less', 'prominent', 'stewartson', 'layer', 'that', 'extends', 'less', 'far', 'from', 'the', 'boundary']] | [-0.21394120622426271, 0.23275486654258215, -0.0008018812017777823, 0.00042095234001917925, -0.08800038245925368, -0.10397256043233327, -0.018442504023570543, 0.2603553550055363, -0.2629542906343587, -0.3145894675782019, 0.06726452584328417, -0.23790367056409384, -0.03741567471727179, 0.22387236054836704, 0.004163172913069881, 0.016363021073825406, 0.030755440438878817, -0.008859279037346976, -0.014541879618984191, -0.11965541830036364, 0.31705611854816645, 0.05264859860950468, 0.2755836114637404, -0.00013979244977235794, 0.01196380383991355, -0.12741819395521192, 0.10496463902113372, 0.10462494648605485, -0.20865094319366634, 0.004184995087226165, 0.19060222006515418, -0.07842960795887664, 0.29444353889998975, -0.5339430271329095, -0.20764093328542357, -0.012586072577951139, 0.18511870082767817, 0.10807489672708544, -0.020341706137179127, -0.20169041772691795, 0.14760425272741473, -0.16168231951016557, -0.16020680202058699, 0.03176098419572133, 0.05352153322400038, 0.0026500856389772873, -0.3192133729677372, 0.12625790112819865, 0.10435029101126746, 0.14712907937542855, -0.06614904521164428, -0.0853766895445445, -0.13840900448419705, 0.01017202328556161, 0.14517850025350715, 0.1050390781531573, 0.21995304824355458, -0.22516932485831415, 0.06066673768421747, 0.2899532913411624, -0.044374828594568774, -0.1498758325715793, 0.21836046079461208, -0.22314133700420893, 0.020463136037274093, 0.2569761752282213, 0.19360386435842555, 0.13897180873525622, 0.0002211467691090883, -0.016487032880587817, -0.10547456262092537, 0.16606745468733844, 0.1341381251386948, -0.08160444703453139, 0.26166898693464347, 0.21850684997406883, 0.10514870388495842, 0.19543460401512633, -0.18407462854657147, -0.07018875151922639, -0.2634283679493722, -0.12269509145239955, -0.08909638566840065, 0.05310258195944906, -0.09768443541455195, -0.20238548574106605, 0.33346972081047677, 0.12402235462010726, 0.18747304614782553, 0.0023529346557271563, 0.3293181094997281, 0.10340213059328947, 0.1092913756147027, 0.20763623826643265, 0.32278552936427546, 0.24892191857024526, 0.17635800698209528, -0.22234501647012897, 0.0051002393104761035, 0.05467030406935803] |
712.2544 | RHESSI Microflare Statistics II. X-ray Imaging, Spectroscopy & Energy
Distributions | We present X-ray imaging and spectral analysis of all microflares the Reuven
Ramaty High Energy Solar Spectroscopic Imager (RHESSI) observed between March
2002 and March 2007, a total of 25,705 events. These microflares are small
flares, from low GOES C Class to below A Class (background subtracted) and are
associated with active regions. They were found by searching the 6-12 keV
energy range during periods when the full sensitivity of RHESSI's detectors was
available (see paper I). Each microflare is automatically analyzed at the peak
time of the 6-12 keV emission: the thermal source size is found by
forward-fitting the complex visibilities for 4-8 keV, and the spectral
parameters (temperature, emission measure, power-law index) are found by
forward fitting a thermal plus non-thermal model. The combination of these
parameters allows us to present the first statistical analysis of the thermal
and non-thermal energy at the peak times of microflares.
| astro-ph | we present xray imaging and spectral analysis of all microflares the reuven ramaty high energy solar spectroscopic imager rhessi observed between march 2002 and march 2007 a total of 25705 events these microflares are small flares from low goes c class to below a class background subtracted and are associated with active regions they were found by searching the 612 kev energy range during periods when the full sensitivity of rhessis detectors was available see paper i each microflare is automatically analyzed at the peak time of the 612 kev emission the thermal source size is found by forwardfitting the complex visibilities for 48 kev and the spectral parameters temperature emission measure powerlaw index are found by forward fitting a thermal plus nonthermal model the combination of these parameters allows us to present the first statistical analysis of the thermal and nonthermal energy at the peak times of microflares | [['we', 'present', 'xray', 'imaging', 'and', 'spectral', 'analysis', 'of', 'all', 'microflares', 'the', 'reuven', 'ramaty', 'high', 'energy', 'solar', 'spectroscopic', 'imager', 'rhessi', 'observed', 'between', 'march', '2002', 'and', 'march', '2007', 'a', 'total', 'of', '25705', 'events', 'these', 'microflares', 'are', 'small', 'flares', 'from', 'low', 'goes', 'c', 'class', 'to', 'below', 'a', 'class', 'background', 'subtracted', 'and', 'are', 'associated', 'with', 'active', 'regions', 'they', 'were', 'found', 'by', 'searching', 'the', '612', 'kev', 'energy', 'range', 'during', 'periods', 'when', 'the', 'full', 'sensitivity', 'of', 'rhessis', 'detectors', 'was', 'available', 'see', 'paper', 'i', 'each', 'microflare', 'is', 'automatically', 'analyzed', 'at', 'the', 'peak', 'time', 'of', 'the', '612', 'kev', 'emission', 'the', 'thermal', 'source', 'size', 'is', 'found', 'by', 'forwardfitting', 'the', 'complex', 'visibilities', 'for', '48', 'kev', 'and', 'the', 'spectral', 'parameters', 'temperature', 'emission', 'measure', 'powerlaw', 'index', 'are', 'found', 'by', 'forward', 'fitting', 'a', 'thermal', 'plus', 'nonthermal', 'model', 'the', 'combination', 'of', 'these', 'parameters', 'allows', 'us', 'to', 'present', 'the', 'first', 'statistical', 'analysis', 'of', 'the', 'thermal', 'and', 'nonthermal', 'energy', 'at', 'the', 'peak', 'times', 'of', 'microflares']] | [-0.03566473537648562, 0.19019620226479034, -0.04269986938546739, 0.12849762036647597, -0.040299945079872536, -0.10145342481209317, 0.04117645755350414, 0.4285275523827688, -0.18255445328572564, -0.46199148223810904, 0.08472009747591172, -0.34712947520843906, -0.007730065561780655, 0.21995429734139377, -0.010422385870353193, 0.01705240517401615, 0.0899928683805204, -0.05731267469456872, -0.03194176431861706, -0.16043547476717346, 0.22280456474254606, 0.17595993618266909, 0.2170124824121091, 0.01412163655638594, 0.07797325566266286, -0.055266605063996, -0.09516698695291337, -0.018137820046143355, -0.12054862126053588, 0.03876079564184152, 0.22872678601148388, 0.08827326033693876, 0.19324288890080377, -0.3397594181493529, -0.24581148016826576, 0.07446168095653725, 0.08213460743207031, -0.06604201023111346, 0.033310346550786414, -0.24514629664308568, 0.037407574753553885, -0.14428998934218307, -0.1248159601118705, 0.01110738454342543, 0.03109707749713011, 0.03158731169281276, -0.23328129279370596, 0.13629092706203763, -0.024404037424451294, 0.08484822395729606, -0.13827915877029867, -0.10566612861333163, -0.050314509671659687, 0.08471428898003462, 0.05472345206795286, 0.011103811585721938, 0.1590058637493466, -0.06104082375925311, -0.0661163705108511, 0.32089487640375924, -0.05149200908223016, 0.06523634239754363, 0.19145808300959902, -0.19492000025206221, -0.1604244627303922, 0.2807813094161149, 0.12424298544804491, 0.0721188268334781, -0.17567691187945753, 0.06119720324401184, 0.02434723874132426, 0.24552031897946033, 0.07263071214893481, 0.022129646124872, 0.25302454416413567, 0.09346641710805204, -0.02228303674476322, 0.1459937846890613, -0.3022756821077122, 0.004242004449101719, -0.3005898198666605, -0.07097630198050693, -0.13545271538817827, 0.07816709511649064, -0.07978567543918993, -0.12108168793713196, 0.4435430420216525, 0.09443559795240494, 0.19794218554916615, 0.02389048580851129, 0.29444378239379543, 0.15873657417093479, 0.026478812062319973, 0.12934503489255755, 0.29685395958556515, 0.13470262200477207, 0.2040211606544216, -0.21541277861153404, 0.0030827677275393965, 0.011026347487082554] |
712.2545 | A Quantum Time-Space Lower Bound for the Counting Hierarchy | We obtain the first nontrivial time-space lower bound for quantum algorithms
solving problems related to satisfiability. Our bound applies to MajSAT and
MajMajSAT, which are complete problems for the first and second levels of the
counting hierarchy, respectively. We prove that for every real d and every
positive real epsilon there exists a real c>1 such that either: MajMajSAT does
not have a quantum algorithm with bounded two-sided error that runs in time
n^c, or MajSAT does not have a quantum algorithm with bounded two-sided error
that runs in time n^d and space n^{1-\epsilon}. In particular, MajMajSAT cannot
be solved by a quantum algorithm with bounded two-sided error running in time
n^{1+o(1)} and space n^{1-\epsilon} for any epsilon>0. The key technical
novelty is a time- and space-efficient simulation of quantum computations with
intermediate measurements by probabilistic machines with unbounded error. We
also develop a model that is particularly suitable for the study of general
quantum computations with simultaneous time and space bounds. However, our
arguments hold for any reasonable uniform model of quantum computation.
| quant-ph | we obtain the first nontrivial timespace lower bound for quantum algorithms solving problems related to satisfiability our bound applies to majsat and majmajsat which are complete problems for the first and second levels of the counting hierarchy respectively we prove that for every real d and every positive real epsilon there exists a real c1 such that either majmajsat does not have a quantum algorithm with bounded twosided error that runs in time nc or majsat does not have a quantum algorithm with bounded twosided error that runs in time nd and space n1epsilon in particular majmajsat cannot be solved by a quantum algorithm with bounded twosided error running in time n1o1 and space n1epsilon for any epsilon0 the key technical novelty is a time and spaceefficient simulation of quantum computations with intermediate measurements by probabilistic machines with unbounded error we also develop a model that is particularly suitable for the study of general quantum computations with simultaneous time and space bounds however our arguments hold for any reasonable uniform model of quantum computation | [['we', 'obtain', 'the', 'first', 'nontrivial', 'timespace', 'lower', 'bound', 'for', 'quantum', 'algorithms', 'solving', 'problems', 'related', 'to', 'satisfiability', 'our', 'bound', 'applies', 'to', 'majsat', 'and', 'majmajsat', 'which', 'are', 'complete', 'problems', 'for', 'the', 'first', 'and', 'second', 'levels', 'of', 'the', 'counting', 'hierarchy', 'respectively', 'we', 'prove', 'that', 'for', 'every', 'real', 'd', 'and', 'every', 'positive', 'real', 'epsilon', 'there', 'exists', 'a', 'real', 'c1', 'such', 'that', 'either', 'majmajsat', 'does', 'not', 'have', 'a', 'quantum', 'algorithm', 'with', 'bounded', 'twosided', 'error', 'that', 'runs', 'in', 'time', 'nc', 'or', 'majsat', 'does', 'not', 'have', 'a', 'quantum', 'algorithm', 'with', 'bounded', 'twosided', 'error', 'that', 'runs', 'in', 'time', 'nd', 'and', 'space', 'n1epsilon', 'in', 'particular', 'majmajsat', 'can', 'not', 'be', 'solved', 'by', 'a', 'quantum', 'algorithm', 'with', 'bounded', 'twosided', 'error', 'running', 'in', 'time', 'n1o1', 'and', 'space', 'n1epsilon', 'for', 'any', 'epsilon0', 'the', 'key', 'technical', 'novelty', 'is', 'a', 'time', 'and', 'spaceefficient', 'simulation', 'of', 'quantum', 'computations', 'with', 'intermediate', 'measurements', 'by', 'probabilistic', 'machines', 'with', 'unbounded', 'error', 'we', 'also', 'develop', 'a', 'model', 'that', 'is', 'particularly', 'suitable', 'for', 'the', 'study', 'of', 'general', 'quantum', 'computations', 'with', 'simultaneous', 'time', 'and', 'space', 'bounds', 'however', 'our', 'arguments', 'hold', 'for', 'any', 'reasonable', 'uniform', 'model', 'of', 'quantum', 'computation']] | [-0.1337606321315071, 0.11937694157193808, -0.06721079384509711, 0.05993023514343867, -0.04966713001983875, -0.22350253987885108, 0.08171568405437633, 0.3615548708126207, -0.24379750784766469, -0.2967244516802424, 0.13055833635819442, -0.21353655453028447, -0.1384607700932491, 0.25223114661404034, -0.06246007226304571, 0.10810332724991432, 0.08388770489571239, 0.06783577327137393, -0.07726778524303324, -0.30451944605528103, 0.2830042026457888, -0.006313113180107593, 0.1817032755433307, 0.06838788968548609, 0.1066908605579782, -0.012291610468383556, 0.017651092868050656, 0.0338398920073688, -0.14399081563030813, 0.09646260197882707, 0.2707370469088241, 0.14716096184582508, 0.3019297117625788, -0.4208267846617799, -0.17313809473756592, 0.18564970388663987, 0.13929489993818664, 0.11067770216062213, -0.054560535463552946, -0.25185859149504947, 0.14786552183728427, -0.08817740586839315, -0.08068006623783983, -0.09355173055405562, 0.03432233190443905, -0.011909282765609637, -0.3100562748308105, 0.05699609186499638, 0.1155586189190343, 0.014713591341510674, -0.03499310700097687, -0.0922126044711701, 0.07369478716854157, 0.12595269411823826, -0.046452993638507314, 0.07360705034740032, 0.03927493963937, -0.06504137957713572, -0.2122576450067707, 0.3661577500338327, -0.07142740542424379, -0.23171969633441786, 0.13133418671632013, -0.13601238727354245, -0.16894253452087757, 0.10606199624407175, 0.14957263074126204, 0.14098425260664238, -0.039305744644232914, 0.18773043011160395, -0.07890375488238528, 0.20510881725224972, 0.05731071202041355, 0.03695442747342201, 0.06778122876593143, 0.10745441599619827, 0.14345205863507066, 0.09137925497764948, -0.01721505830845004, -0.1175759323573849, -0.3580103388562196, -0.19046613496440232, -0.2249887126492541, 0.030040028773102172, -0.13905925797831842, -0.19183514149243153, 0.3102380597527876, 0.11529595088859686, 0.17148797076217012, 0.17678945376255115, 0.3133956578801079, 0.15831710217921655, 0.028341330683418695, 0.17812837113362517, 0.1508479495616926, 0.07225731351935019, 0.06302121144347969, -0.17390790043921597, 0.09364773110066664, 0.08579130699890707] |
712.2546 | An Extended Bracket Polynomial for Virtual Knots and Links | This paper defines a new invariant of virtual knots and links that we call
the extended bracket polynomial, and denote by <<K>> for a virtual knot or link
K. This invariant is a state summation over bracket states of the oriented
diagram for K. Each state is reduced to a virtual 4-regular graph in the plane
and the polynomial takes values in the module generated by these reduced graphs
over the ring Q[A,A^{-1}]. The paper is relatively self-contained, with
background information about virtual knots and long virtual knots. We give
numerous examples applying the extended bracket, including a new proof of the
non-triviality of the Kishino diagram and the flat Kishino diagram and
non-classicality of single crossing virtualizations. The paper has a section on
the estimation of virtual crossing number using the extended bracket state sum.
Examples are given of virtual knots with arbitrary minimal embedding genus and
arbitrarily high positive difference between the virtual crossing number and
the minimal embedding genus. A simplification of <<K>> is introduced and
denoted by A[K]. This simplified extended bracket, the arrow polynomial, is a
polynomial in an infinite set of variables. It is quite strong (detecting the
flat Kishino diagram for example) and easily computable. The paper contains a
description of a computer algorithm for A[K] and uses the arrow polynomial, in
conjunction with the extended bracket polynomial to determine the minimum genus
surfaces on which some virtual knots can be represented.
| math.GT | this paper defines a new invariant of virtual knots and links that we call the extended bracket polynomial and denote by k for a virtual knot or link k this invariant is a state summation over bracket states of the oriented diagram for k each state is reduced to a virtual 4regular graph in the plane and the polynomial takes values in the module generated by these reduced graphs over the ring qaa1 the paper is relatively selfcontained with background information about virtual knots and long virtual knots we give numerous examples applying the extended bracket including a new proof of the nontriviality of the kishino diagram and the flat kishino diagram and nonclassicality of single crossing virtualizations the paper has a section on the estimation of virtual crossing number using the extended bracket state sum examples are given of virtual knots with arbitrary minimal embedding genus and arbitrarily high positive difference between the virtual crossing number and the minimal embedding genus a simplification of k is introduced and denoted by ak this simplified extended bracket the arrow polynomial is a polynomial in an infinite set of variables it is quite strong detecting the flat kishino diagram for example and easily computable the paper contains a description of a computer algorithm for ak and uses the arrow polynomial in conjunction with the extended bracket polynomial to determine the minimum genus surfaces on which some virtual knots can be represented | [['this', 'paper', 'defines', 'a', 'new', 'invariant', 'of', 'virtual', 'knots', 'and', 'links', 'that', 'we', 'call', 'the', 'extended', 'bracket', 'polynomial', 'and', 'denote', 'by', 'k', 'for', 'a', 'virtual', 'knot', 'or', 'link', 'k', 'this', 'invariant', 'is', 'a', 'state', 'summation', 'over', 'bracket', 'states', 'of', 'the', 'oriented', 'diagram', 'for', 'k', 'each', 'state', 'is', 'reduced', 'to', 'a', 'virtual', '4regular', 'graph', 'in', 'the', 'plane', 'and', 'the', 'polynomial', 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712.2547 | Quantitative broadband chemical sensing in air-suspended solid-core
fibers | We demonstrate a quantitative broadband fiber sensor, based on evanescent
field sensing in the cladding holes of an air-suspended solid-core photonic
crystal fiber. We discuss the fabrication process, together with the
structural- and optical characterization of a range of different fibers.
Measured mode profiles are in good agreement with finite element method
calculations made without free parameters. The fraction of the light in the
hollow cladding can be tuned via the core diameter of the fiber. Dispersion
measurements are in excellent agreement with theory and demonstrate tuning of
the zero dispersion wavelength via the core diameter. Optimum design parameters
for absorption sensors are discussed using a general parameter diagram. From
our analysis, we estimate that a sensitivity increase of three orders of
magnitude is feasible compared to standard cuvette measurements. Our study
applies to both liquid and gas fiber sensors. We demonstrate the applicability
of our results to liquid chemical sensing by measuring the broad absorption
peak of an aqueous nickel chloride solution. We find striking agreement with
the reference spectrum measured in a standard cuvette, even though the sample
volume has decreased by three orders of magnitude. Our results demonstrate that
air-suspended solid-core PCFs can be used in quantitative broadband chemical
sensing measurements.
| physics.optics | we demonstrate a quantitative broadband fiber sensor based on evanescent field sensing in the cladding holes of an airsuspended solidcore photonic crystal fiber we discuss the fabrication process together with the structural and optical characterization of a range of different fibers measured mode profiles are in good agreement with finite element method calculations made without free parameters the fraction of the light in the hollow cladding can be tuned via the core diameter of the fiber dispersion measurements are in excellent agreement with theory and demonstrate tuning of the zero dispersion wavelength via the core diameter optimum design parameters for absorption sensors are discussed using a general parameter diagram from our analysis we estimate that a sensitivity increase of three orders of magnitude is feasible compared to standard cuvette measurements our study applies to both liquid and gas fiber sensors we demonstrate the applicability of our results to liquid chemical sensing by measuring the broad absorption peak of an aqueous nickel chloride solution we find striking agreement with the reference spectrum measured in a standard cuvette even though the sample volume has decreased by three orders of magnitude our results demonstrate that airsuspended solidcore pcfs can be used in quantitative broadband chemical sensing measurements | [['we', 'demonstrate', 'a', 'quantitative', 'broadband', 'fiber', 'sensor', 'based', 'on', 'evanescent', 'field', 'sensing', 'in', 'the', 'cladding', 'holes', 'of', 'an', 'airsuspended', 'solidcore', 'photonic', 'crystal', 'fiber', 'we', 'discuss', 'the', 'fabrication', 'process', 'together', 'with', 'the', 'structural', 'and', 'optical', 'characterization', 'of', 'a', 'range', 'of', 'different', 'fibers', 'measured', 'mode', 'profiles', 'are', 'in', 'good', 'agreement', 'with', 'finite', 'element', 'method', 'calculations', 'made', 'without', 'free', 'parameters', 'the', 'fraction', 'of', 'the', 'light', 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712.2548 | Evidence of magnetic field wrapping around penumbral filaments | We employ high-spatial resolution spectropolarimetric observations from the
Solar Optical Telescope on-board the Hinode spacecraft to investigate the fine
structure of the penumbral magnetic fields. The Stokes vector of two neutral
iron lines at 630 nm is inverted at every spatial pixel to retrieve the
depth-dependence of the magnetic field vector, line-of-sight velocity and
thermodynamic parameters. We show that the azimuthal angle of the magnetic
field vector has opposite sign on both sides above the penumbral filaments.
This is consistent with the wrapping of an inclined field around the horizontal
filaments. The wrapping effect is stronger for filaments with larger horizontal
extensions. In addition, we find that the external magnetic field can penetrate
into the intraspines, leading to non-radial magnetic fields inside them. These
findings shed some light on the controversial small-scale structure of the
sunspot penumbra.
| astro-ph | we employ highspatial resolution spectropolarimetric observations from the solar optical telescope onboard the hinode spacecraft to investigate the fine structure of the penumbral magnetic fields the stokes vector of two neutral iron lines at 630 nm is inverted at every spatial pixel to retrieve the depthdependence of the magnetic field vector lineofsight velocity and thermodynamic parameters we show that the azimuthal angle of the magnetic field vector has opposite sign on both sides above the penumbral filaments this is consistent with the wrapping of an inclined field around the horizontal filaments the wrapping effect is stronger for filaments with larger horizontal extensions in addition we find that the external magnetic field can penetrate into the intraspines leading to nonradial magnetic fields inside them these findings shed some light on the controversial smallscale structure of the sunspot penumbra | [['we', 'employ', 'highspatial', 'resolution', 'spectropolarimetric', 'observations', 'from', 'the', 'solar', 'optical', 'telescope', 'onboard', 'the', 'hinode', 'spacecraft', 'to', 'investigate', 'the', 'fine', 'structure', 'of', 'the', 'penumbral', 'magnetic', 'fields', 'the', 'stokes', 'vector', 'of', 'two', 'neutral', 'iron', 'lines', 'at', '630', 'nm', 'is', 'inverted', 'at', 'every', 'spatial', 'pixel', 'to', 'retrieve', 'the', 'depthdependence', 'of', 'the', 'magnetic', 'field', 'vector', 'lineofsight', 'velocity', 'and', 'thermodynamic', 'parameters', 'we', 'show', 'that', 'the', 'azimuthal', 'angle', 'of', 'the', 'magnetic', 'field', 'vector', 'has', 'opposite', 'sign', 'on', 'both', 'sides', 'above', 'the', 'penumbral', 'filaments', 'this', 'is', 'consistent', 'with', 'the', 'wrapping', 'of', 'an', 'inclined', 'field', 'around', 'the', 'horizontal', 'filaments', 'the', 'wrapping', 'effect', 'is', 'stronger', 'for', 'filaments', 'with', 'larger', 'horizontal', 'extensions', 'in', 'addition', 'we', 'find', 'that', 'the', 'external', 'magnetic', 'field', 'can', 'penetrate', 'into', 'the', 'intraspines', 'leading', 'to', 'nonradial', 'magnetic', 'fields', 'inside', 'them', 'these', 'findings', 'shed', 'some', 'light', 'on', 'the', 'controversial', 'smallscale', 'structure', 'of', 'the', 'sunspot', 'penumbra']] | [-0.1809876976317189, 0.21823533254356486, 0.0008435402283050718, 0.05719626150569831, -0.1434178739296694, -0.060502931747558344, -0.03238196976917938, 0.46493043909597137, -0.23913434766450503, -0.3343093226507415, 0.04566967528526685, -0.25287233294076183, -0.07795407819684023, 0.16512199258814178, 0.01555416133105211, -0.04952788118903532, 0.04126192587699714, 0.012446781260090588, -0.015242312725524615, -0.17642757484016355, 0.3016948611730451, 0.055466572672509366, 0.2565189410157393, 0.02152806797819416, 0.07066686224722624, -0.07905889023435268, -0.01354210460762473, 0.055569732792838646, -0.12893824158357473, 0.07186017699126897, 0.12854207685577554, 0.027261222249583553, 0.19700934037899287, -0.4857341218355238, -0.196653960762124, 0.019360491091616614, 0.18837252404051322, 0.04463966243839177, -0.007319645083893471, -0.30039321387145856, 0.09475477994929482, -0.006444610140361164, -0.18872151023497546, 0.015328135640516768, 0.0014694460682965218, 0.015994283680406392, -0.23699717847443438, 0.03750142128118416, 0.013199755391717827, 0.17470779834165626, -0.12850276661193827, -0.07800254491531719, -0.0951176545910714, 0.10865973320748848, 0.11870366778652978, 0.07617560833910086, 0.19107776768692517, -0.15492138312619697, -0.04692123798707867, 0.32373687695630277, -0.08883287907870364, -0.0708152397627514, 0.10839364742928177, -0.24566993104756205, -0.10725529385513088, 0.1859789165246715, 0.1588854961850116, 0.07802936135592402, -0.04475049726940338, 0.039590050217807704, -0.11028989508618893, 0.17797624474785623, 0.09098677706979487, 0.0017889098376443569, 0.3231501412513346, 0.06961477790571695, 0.06450026041155096, 0.12376515710952413, -0.3103654715625559, -0.060655551823195965, -0.2629485793996358, -0.15318193631824514, -0.06609704310115236, 0.038567109456639326, -0.13568666650066882, -0.187735060365857, 0.401560953726489, 0.19445680433639537, 0.2180583284074614, -0.056992947694974656, 0.3524652975509419, 0.05315502089903738, 0.13294983168564276, 0.11292524609619575, 0.3292930363144226, 0.2442587108697987, 0.1970496208672106, -0.24572611545097, 0.007091691598540893, 0.04329658783020547] |
712.2549 | Double Ore Extensions | A double Ore extension is a natural generalization of the Ore extension. We
prove that a connected graded double Ore extension of an Artin-Schelter regular
algebra is Artin-Schelter regular. Some other basic properties such as the
determinant of the DE-data are studied. Using the double Ore extension, we
construct 26 families of Artin-Schelter regular algebras of global dimension
four in a sequel paper.
| math.RA | a double ore extension is a natural generalization of the ore extension we prove that a connected graded double ore extension of an artinschelter regular algebra is artinschelter regular some other basic properties such as the determinant of the dedata are studied using the double ore extension we construct 26 families of artinschelter regular algebras of global dimension four in a sequel paper | [['a', 'double', 'ore', 'extension', 'is', 'a', 'natural', 'generalization', 'of', 'the', 'ore', 'extension', 'we', 'prove', 'that', 'a', 'connected', 'graded', 'double', 'ore', 'extension', 'of', 'an', 'artinschelter', 'regular', 'algebra', 'is', 'artinschelter', 'regular', 'some', 'other', 'basic', 'properties', 'such', 'as', 'the', 'determinant', 'of', 'the', 'dedata', 'are', 'studied', 'using', 'the', 'double', 'ore', 'extension', 'we', 'construct', '26', 'families', 'of', 'artinschelter', 'regular', 'algebras', 'of', 'global', 'dimension', 'four', 'in', 'a', 'sequel', 'paper']] | [-0.17549041983100674, -0.0029806459616895974, -0.03254148706553444, 0.14052241590369732, -0.1221701078672683, -0.16024709132409864, -0.10087995438258193, 0.31436204327450645, -0.41083615432463344, -0.16534300163508422, 0.196834304781195, -0.2633362612536838, -0.19476095587015152, 0.190993141217698, -0.14846075750556925, -0.0680936178222539, 0.04138747568152124, 0.17657645025681104, -0.09947423145340215, -0.24984588212664088, 0.37256669371779405, -0.019170973378594122, 0.18687032256275415, -0.010932894769094644, 0.06446065518614505, 0.06413737633415768, -0.027507452752381083, 0.034601400223290245, -0.17405485585315486, 0.12591053896974172, 0.24450292427378195, 0.08049365378833646, 0.19702065781870437, -0.3697265533490046, -0.0929106566604347, 0.19301624686246918, 0.1830403792161134, -0.010723811017082734, -0.06449370978835729, -0.20955152031514915, 0.13212552219028434, -0.31294525659552985, -0.23304758224666358, -0.023360795762029388, 0.07083956395546274, 0.032146694138646126, -0.27397967879510216, -0.009816364159867648, 0.16798727538797162, 0.16441351267055707, -0.04589647948441486, -0.0711300827472681, -0.040237380266790426, 0.008777641779517816, -0.13110816468965383, -0.04441512997202095, 0.10040168736069914, -0.023798038334315343, -0.2150817707541489, 0.3145010169865864, -0.07492828241459304, -0.21261965876985942, 0.15763404670982592, -0.16917390341029293, -0.1839670047329198, 0.05362909956414613, 0.02368501352236396, 0.19386928240137716, -0.10496178071104711, 0.256924185481283, -0.22428662131630606, 0.02540698749644141, 0.15166757277573548, 0.049127940561682466, 0.12400895681592726, 0.2063171165965257, 0.06947717998897837, 0.20356396877210617, 0.023761339672473108, -0.047450038949928934, -0.3429732474408323, -0.18726548794356565, -0.02955331378466179, 0.1272347506188277, -0.08860856824884972, -0.231418312331962, 0.49627906492640894, 0.09781583359525088, 0.10921105698892666, 0.06441938483546819, 0.16521591729214113, 0.03167474278691976, 0.14596782786200843, -0.004527402576059103, 0.06679557753030226, 0.26473105443461287, -0.01935844497394658, -0.0762379377978974, -0.07987020651888734, 0.2337372288513448] |
712.255 | Double Extension Regular Algebras of Type (14641) | We construct several families of Artin-Schelter regular algebras of global
dimension four using double Ore extension and then prove that all these
algebras are strongly noetherian, Auslander regular, Koszul and Cohen-Macaulay
domains. Many regular algebras constructed in the paper are new and are not
isomorphic to either a normal extension or an Ore extension of an
Artin-Schelter regular algebra of global dimension three.
| math.RA | we construct several families of artinschelter regular algebras of global dimension four using double ore extension and then prove that all these algebras are strongly noetherian auslander regular koszul and cohenmacaulay domains many regular algebras constructed in the paper are new and are not isomorphic to either a normal extension or an ore extension of an artinschelter regular algebra of global dimension three | [['we', 'construct', 'several', 'families', 'of', 'artinschelter', 'regular', 'algebras', 'of', 'global', 'dimension', 'four', 'using', 'double', 'ore', 'extension', 'and', 'then', 'prove', 'that', 'all', 'these', 'algebras', 'are', 'strongly', 'noetherian', 'auslander', 'regular', 'koszul', 'and', 'cohenmacaulay', 'domains', 'many', 'regular', 'algebras', 'constructed', 'in', 'the', 'paper', 'are', 'new', 'and', 'are', 'not', 'isomorphic', 'to', 'either', 'a', 'normal', 'extension', 'or', 'an', 'ore', 'extension', 'of', 'an', 'artinschelter', 'regular', 'algebra', 'of', 'global', 'dimension', 'three']] | [-0.1729642387686504, 0.007056118436767498, -0.02092357711600406, 0.1234870914874288, -0.12956041673434868, -0.22149359479930902, -0.17994160830257608, 0.3823216969058627, -0.4497155409956735, -0.1192603696226364, 0.24431285551667864, -0.2548580179138789, -0.13077193488632993, 0.19051877297978434, -0.1644274721343425, -0.10105972396328099, 0.03696194138850958, 0.13961623997856226, -0.09068612464230567, -0.3451971992081593, 0.45452235479440006, -0.07631633195301725, 0.22262885913785016, -0.014319262977334716, 0.049437193909571284, 0.027322600440432627, -0.029234546118430675, 0.07391897531314975, -0.18002777273587917, 0.11927062033542565, 0.312052444787696, 0.09751139922688405, 0.17926712257469754, -0.41406754973447985, -0.047398061949818854, 0.25413150730587186, 0.22130199380603338, -0.003809441856685139, -0.0448227874040308, -0.23727679895680576, 0.1256047316220781, -0.2876087228161475, -0.16630195035406994, -0.1229480304977014, 0.08498185586243395, 0.021571595073928907, -0.27962565011832685, -0.007332957504938046, 0.1661867160823137, 0.21203449582459316, -0.0971522352968653, -0.06159685881778834, -0.14070599056809904, 0.010518428921285603, -0.13171808808923713, -0.04715836119823276, 0.08541599785426765, -0.027507003707190354, -0.23931854857604892, 0.2609345832957871, 0.01219242752071411, -0.23329537276119466, 0.22990638189136037, -0.23253612585424904, -0.16474135448446586, 0.08256892880631818, -0.012907421415937799, 0.19101689606609326, -0.09537919916744743, 0.2159339143046444, -0.18419218208226892, 0.02020738282728763, 0.15809870373073315, 0.04410741595728766, 0.13582894596315565, 0.11265218196555025, 0.09856618630296979, 0.12427226436280069, 0.06876080871064452, -0.0037761619831952783, -0.3209189442060297, -0.13240435879145349, -0.03450674581570581, 0.10143023911546657, -0.12829944332400964, -0.22514387647370024, 0.4677558059966753, 0.11255369279237967, 0.1132247353061324, 0.11425369342286436, 0.15861516197522482, -0.031639788255450274, 0.14289529456032646, 0.07378329169596472, 0.0726844624704903, 0.2470632217277492, -0.05796595980664567, -0.03906403836103097, -0.10024201493462666, 0.25634055209922646] |
712.2551 | Artin-Schelter Regular Algebras, Subalgebras, and Pushouts | Take $A$ to be a regular quadratic algebra of global dimension three. We
observe that there are examples of $A$ containing a dimension three regular
cubic algebra $C$. If $B$ is another dimension three regular quadratic algebra,
also containing $C$ as a subalgebra, then we can form the pushout algebra $D$
of the inclusions $i_1:C\hookrightarrow A$ and $i_2:C\hookrightarrow B$. We
show that for a certain class of regular algebras $C\hookrightarrow A,B$, their
pushouts $D$ are regular quadratic algebras of global dimension four.
Furthermore, some of the point module structures of the dimension three
algebras get passed on to the pushout algebra $D$.
| math.RA | take a to be a regular quadratic algebra of global dimension three we observe that there are examples of a containing a dimension three regular cubic algebra c if b is another dimension three regular quadratic algebra also containing c as a subalgebra then we can form the pushout algebra d of the inclusions i_1chookrightarrow a and i_2chookrightarrow b we show that for a certain class of regular algebras chookrightarrow ab their pushouts d are regular quadratic algebras of global dimension four furthermore some of the point module structures of the dimension three algebras get passed on to the pushout algebra d | [['take', 'a', 'to', 'be', 'a', 'regular', 'quadratic', 'algebra', 'of', 'global', 'dimension', 'three', 'we', 'observe', 'that', 'there', 'are', 'examples', 'of', 'a', 'containing', 'a', 'dimension', 'three', 'regular', 'cubic', 'algebra', 'c', 'if', 'b', 'is', 'another', 'dimension', 'three', 'regular', 'quadratic', 'algebra', 'also', 'containing', 'c', 'as', 'a', 'subalgebra', 'then', 'we', 'can', 'form', 'the', 'pushout', 'algebra', 'd', 'of', 'the', 'inclusions', 'i_1chookrightarrow', 'a', 'and', 'i_2chookrightarrow', 'b', 'we', 'show', 'that', 'for', 'a', 'certain', 'class', 'of', 'regular', 'algebras', 'chookrightarrow', 'ab', 'their', 'pushouts', 'd', 'are', 'regular', 'quadratic', 'algebras', 'of', 'global', 'dimension', 'four', 'furthermore', 'some', 'of', 'the', 'point', 'module', 'structures', 'of', 'the', 'dimension', 'three', 'algebras', 'get', 'passed', 'on', 'to', 'the', 'pushout', 'algebra', 'd']] | [-0.20446989090755732, 0.07061153466841488, -0.052485581957782156, 0.03815070898718944, -0.10341128499971496, -0.2024523894340176, -0.03713025492521925, 0.35051632721466247, -0.3779765726114162, -0.16769713218878918, 0.15676142423263176, -0.2690540213358937, -0.15478333996401894, 0.16913077062127566, -0.04393761082919258, -0.06484588059229833, 0.0680720070823839, 0.17414702378175775, -0.12020751371546978, -0.32337836341725457, 0.39680901328760265, -0.0985437656795098, 0.15481703330508687, -0.0246782947585664, 0.09691698112609712, -0.022422834323023003, 0.01916699967055459, 0.09245262305355734, -0.12999369166018276, 0.11378522594506392, 0.22686594546857206, 0.11710452179029358, 0.22688203895784387, -0.34930888367722734, -0.08576510406353256, 0.1583767177800488, 0.12914585305678875, 0.04799467810627186, -0.024859005158456664, -0.20516757847684802, 0.12411160871381824, -0.20910985161540935, -0.1371031793238915, -0.08319667131273133, 0.13475200731420156, -0.04700232610445131, -0.3050425012849949, -0.010242512790930712, 0.13604316378783698, 0.14077011005708365, -0.08483192844861986, -0.11930155837343949, -0.1302946103510983, 0.06859107045903613, -0.10647128429028647, 0.024454852392087983, 0.10111973789812188, -0.0557979147780141, -0.16357954870439087, 0.3455840940869441, 0.0007379498765474618, -0.2385899487581819, 0.20605524862655486, -0.2195761003672625, -0.16229068198137814, 0.09265429019514057, 0.11103627961034877, 0.12252659263145743, -0.07220734688782632, 0.21555876837175508, -0.14813120617070283, 0.08007923918311728, 0.11808873441380759, 0.004918632323317455, 0.1312883994118734, 0.09629698608992528, 0.05357622370509563, 0.16019922366831452, -0.0008400433374606449, -0.01271058814694183, -0.3645415375517173, -0.17935345751807244, -0.0919081521211098, 0.12809889137185168, -0.14192912797193688, -0.21030553939253693, 0.42119068845005875, 0.05300967464449279, 0.21154000913028162, 0.07833751604299653, 0.18874559886377268, 0.05588546271948614, 0.15548601490327843, 0.06705142034104827, 0.13552846985009517, 0.17042061290468533, -0.018434137298791398, -0.11759415414711141, -0.07478498244385301, 0.1903170125389641] |
712.2552 | The PBD-Closure of Constant-Composition Codes | We show an interesting PBD-closure result for the set of lengths of
constant-composition codes whose distance and size meet certain conditions. A
consequence of this PBD-closure result is that the size of optimal
constant-composition codes can be determined for infinite families of parameter
sets from just a single example of an optimal code. As an application, the size
of several infinite families of optimal constant-composition codes are derived.
In particular, the problem of determining the size of optimal
constant-composition codes having distance four and weight three is solved for
all lengths sufficiently large. This problem was previously unresolved for odd
lengths, except for lengths seven and eleven.
| cs.IT cs.DM math.CO math.IT | we show an interesting pbdclosure result for the set of lengths of constantcomposition codes whose distance and size meet certain conditions a consequence of this pbdclosure result is that the size of optimal constantcomposition codes can be determined for infinite families of parameter sets from just a single example of an optimal code as an application the size of several infinite families of optimal constantcomposition codes are derived in particular the problem of determining the size of optimal constantcomposition codes having distance four and weight three is solved for all lengths sufficiently large this problem was previously unresolved for odd lengths except for lengths seven and eleven | [['we', 'show', 'an', 'interesting', 'pbdclosure', 'result', 'for', 'the', 'set', 'of', 'lengths', 'of', 'constantcomposition', 'codes', 'whose', 'distance', 'and', 'size', 'meet', 'certain', 'conditions', 'a', 'consequence', 'of', 'this', 'pbdclosure', 'result', 'is', 'that', 'the', 'size', 'of', 'optimal', 'constantcomposition', 'codes', 'can', 'be', 'determined', 'for', 'infinite', 'families', 'of', 'parameter', 'sets', 'from', 'just', 'a', 'single', 'example', 'of', 'an', 'optimal', 'code', 'as', 'an', 'application', 'the', 'size', 'of', 'several', 'infinite', 'families', 'of', 'optimal', 'constantcomposition', 'codes', 'are', 'derived', 'in', 'particular', 'the', 'problem', 'of', 'determining', 'the', 'size', 'of', 'optimal', 'constantcomposition', 'codes', 'having', 'distance', 'four', 'and', 'weight', 'three', 'is', 'solved', 'for', 'all', 'lengths', 'sufficiently', 'large', 'this', 'problem', 'was', 'previously', 'unresolved', 'for', 'odd', 'lengths', 'except', 'for', 'lengths', 'seven', 'and', 'eleven']] | [-0.18685248924330586, 0.1332702960279892, -0.01186509934209642, 0.08962994067974034, 0.026030911050648208, -0.17285592158635457, 0.033829515042626074, 0.3723246963251205, -0.3170472460843268, -0.3141309542093603, 0.1637946072821727, -0.2386242038082509, -0.09196974631576312, 0.28043057606333777, -0.05016480162739754, 0.10619123989627474, 0.06402852615654064, 0.06573650689928659, -0.09729751324325445, -0.3203479758330754, 0.33806125845405316, 0.07466685488110497, 0.21768153099609272, 0.013763878095362867, 0.09861732018401935, -0.0006839731264682043, 0.0001867239385665882, 0.050825659544872386, -0.1915342325503367, 0.10431701365104389, 0.2653606353948514, 0.13860063696546213, 0.22086857100505206, -0.3116139519072714, -0.1816137309851391, 0.11832383604986327, 0.1564555134757289, 0.16925883937981867, -0.007116223184303159, -0.13036494594776915, 0.1449329172937377, -0.15221758571763833, -0.17193750252148934, 0.057145579336654574, 0.07867922225878352, 0.04678600139117667, -0.31414417684787793, -0.022946488992532803, 0.06876688164082312, 0.0755647222999306, -0.09249761954748205, -0.21783386349145856, 0.03771939872143169, 0.19915734379596653, 0.01148209571394892, -0.01600324927518765, 0.009763190651401167, -0.06016204835226138, -0.13264734835496972, 0.33919399724829763, 0.013070167104403178, -0.20863318753378865, 0.13520483086994362, -0.05330460403735439, -0.12460955299348349, 0.17141573700521673, 0.17518418600250568, 0.1594081662151785, -0.13354646968877032, 0.1002368189998725, -0.13976545223877543, 0.18316616864786261, 0.16994344588103039, 0.10460406606129947, 0.14248928295758864, 0.1103177780174606, 0.08959683588306819, 0.21065941022686838, -0.0668166615423702, -0.06296003087911578, -0.3021540324957598, -0.09387218732874664, -0.19454785544713515, 0.04309292254481642, -0.20051438915723424, -0.21273947509803942, 0.36033655535429715, 0.07689031545250188, 0.21555300431237334, 0.11588824350564253, 0.2057673684720482, 0.05501419977919709, 0.10791957029806716, 0.14003464504688357, 0.1491849646681831, 0.11504193873011641, -0.08586108166547049, -0.19999679002156925, 0.07818635748505282, 0.11276315447314465] |
712.2553 | Constructions for Difference Triangle Sets | Difference triangle sets are useful in many practical problems of information
transmission. This correspondence studies combinatorial and computational
constructions for difference triangle sets having small scopes. Our algorithms
have been used to produce difference triangle sets whose scopes are the best
currently known.
| cs.IT cs.DM math.CO math.IT | difference triangle sets are useful in many practical problems of information transmission this correspondence studies combinatorial and computational constructions for difference triangle sets having small scopes our algorithms have been used to produce difference triangle sets whose scopes are the best currently known | [['difference', 'triangle', 'sets', 'are', 'useful', 'in', 'many', 'practical', 'problems', 'of', 'information', 'transmission', 'this', 'correspondence', 'studies', 'combinatorial', 'and', 'computational', 'constructions', 'for', 'difference', 'triangle', 'sets', 'having', 'small', 'scopes', 'our', 'algorithms', 'have', 'been', 'used', 'to', 'produce', 'difference', 'triangle', 'sets', 'whose', 'scopes', 'are', 'the', 'best', 'currently', 'known']] | [-0.09368167497044386, 0.010495195295228514, -0.06686697462790234, 0.1631268609266425, -0.10833555377673271, -0.16107372790141855, 0.03331547077517783, 0.4324510031661322, -0.3208398343345454, -0.36754385508640214, 0.13214929325798483, -0.33476700226581374, -0.1159079498069924, 0.26709437266338704, -0.14357171580195427, 0.1333683458005273, 0.11695720805504987, 0.017754177649527095, -0.04160494314283972, -0.3098908638971489, 0.3009218043691024, -0.0640360719069492, 0.2902038891821407, 0.07081391597383244, 0.008993391413241625, -0.10236867786883268, -0.05262736557593006, 0.0728716489880584, -0.16170143719957492, 0.18399849683479513, 0.34204798997488134, 0.1838230001361131, 0.21443727213975994, -0.3841894121277471, -0.18196171959645527, 0.19039065641795047, 0.17559547229063546, 0.08944235807068127, -0.07262559436521558, -0.21712097259195046, 0.059438945097458916, -0.07371454798551492, -0.06617736405974557, -0.10460566731473041, 0.0157703866120861, 0.04350906229296396, -0.23778438186922737, -0.015238071618558363, 0.00026693472200138276, 0.10139904043442288, 0.07977020327911474, -0.23925350537133772, 0.12297839752051892, 0.1844185092892541, 0.0030965261421231336, -0.017757884077836086, 0.03862981337967307, -0.03230751487209873, -0.18195031496674516, 0.39917205832898617, 0.12369776825247289, -0.24384131754185398, 0.21184670673899872, -0.10316676478616374, -0.19548921328211247, 0.12839660293227712, 0.09902236433049967, 0.08302732013425855, -0.1584640623877085, 0.09578828779888492, -0.09463141477385233, 0.10449468829604082, 0.19002964689807836, 0.08805943798100532, 0.18046810309034447, 0.11026304197053663, 0.09944420224894922, 0.11541146351847538, 0.00759494345808445, -0.1220549096808184, -0.26605848734115445, -0.056041594822133, -0.1790517406581446, -0.05784516497840022, -0.13456210554651862, -0.22519985014616056, 0.31584758120913836, 0.09273882127951744, 0.1206986828880428, 0.0343253823473703, 0.3128151068853777, 0.03631246463817999, 0.08276667640826037, 0.05072176599398602, 0.20139950309706808, 0.138083282489936, 0.043242040631729504, -0.14359580300921618, 0.0909491246133003, 0.06683242944783943] |
712.2554 | Leavitt path algebras and direct limits | An introduction to Leavitt path algebras of arbitrary directed graphs is
presented, and direct limit techniques are developed, with which many results
that had previously been proved for countable graphs can be extended to
uncountable ones. Such results include characterizations of simplicity,
characterizations of the exchange property, and cancellation conditions for the
K-theoretic monoid of equivalence classes of idempotent matrices.
| math.RA | an introduction to leavitt path algebras of arbitrary directed graphs is presented and direct limit techniques are developed with which many results that had previously been proved for countable graphs can be extended to uncountable ones such results include characterizations of simplicity characterizations of the exchange property and cancellation conditions for the ktheoretic monoid of equivalence classes of idempotent matrices | [['an', 'introduction', 'to', 'leavitt', 'path', 'algebras', 'of', 'arbitrary', 'directed', 'graphs', 'is', 'presented', 'and', 'direct', 'limit', 'techniques', 'are', 'developed', 'with', 'which', 'many', 'results', 'that', 'had', 'previously', 'been', 'proved', 'for', 'countable', 'graphs', 'can', 'be', 'extended', 'to', 'uncountable', 'ones', 'such', 'results', 'include', 'characterizations', 'of', 'simplicity', 'characterizations', 'of', 'the', 'exchange', 'property', 'and', 'cancellation', 'conditions', 'for', 'the', 'ktheoretic', 'monoid', 'of', 'equivalence', 'classes', 'of', 'idempotent', 'matrices']] | [-0.12520339858407775, 0.1259986054096468, -0.06562438571515182, 0.09875404966102602, -0.15293118107365444, -0.13975587335104744, -0.040029686487590276, 0.43084278622021277, -0.3231566953162352, -0.24749142460059376, 0.14094004304303479, -0.2586707215135296, -0.12021614639864614, 0.23572949100538002, -0.12673716014251113, 0.027332625491544603, 0.12188252993704131, 0.05601059198379517, -0.07060091932847475, -0.2565008039120585, 0.3309311301292231, -0.0028870715953720114, 0.2370199104771018, 0.1179630703292787, 0.09608143245180448, 0.02538909576833248, -0.054945730689602595, 0.07837947056007882, -0.17938395438698837, 0.08208226737721512, 0.34390518385916946, 0.11947259037212159, 0.18890741736783337, -0.3797329598416885, -0.1765786199675252, 0.20339235574938358, 0.12466291196178644, 0.04645350780920125, -0.016868533752858638, -0.291363186808303, 0.12626512876401344, -0.21393584658702214, -0.13475570132335027, -0.09799967028666287, 0.07990635316139863, 0.04569506836123764, -0.2981520221568644, -0.05987175373981397, 0.1905069818526196, 0.12365955584682524, -0.05438171559217153, -0.13865204982769985, -0.009954832587391138, 0.11974448251227537, -0.028130623640026896, -0.061237114823112886, 0.04572786022132883, -0.038912287338947256, -0.2540143629322605, 0.33524579697599016, 0.03277422689522306, -0.19334128471091389, 0.19926985575972747, -0.09600788750685751, -0.19616602138072872, 0.16241244869306684, 0.027492962746570506, 0.11889989213086664, -0.13662415081635118, 0.15630922612229672, -0.1089259458395342, 0.030332467906797927, 0.10951075492581973, 0.10850472336169333, 0.08089429165277882, 0.05228764798181752, 0.10072377750863476, 0.17762838726048358, 0.09218848568076889, -0.05950501300394535, -0.267535073760276, -0.15223500553014066, -0.12383725391700864, 0.07266168448453149, -0.1137649689616713, -0.1960581412674704, 0.35293019091089567, 0.12852437535766512, 0.09092288292013109, 0.13712015124231888, 0.19981927634992946, 0.07540465221197033, 0.11584690268597721, 0.03555599909741432, 0.17144629446362766, 0.31628378902872406, -0.01743786062664488, -0.06071149532023507, 0.04701036017698546, 0.21576548001224485] |
712.2555 | Shell Crossing Singularities in Quasi-Spherical Szekeres Models | We investigate the occurrence of shell crossing singularities in
quasi-spherical Szekeres dust models with or without a cosmological constant.
We study the conditions for shell crossing singularity both from physical and
geometrical point of view and they are in agreement.
| gr-qc | we investigate the occurrence of shell crossing singularities in quasispherical szekeres dust models with or without a cosmological constant we study the conditions for shell crossing singularity both from physical and geometrical point of view and they are in agreement | [['we', 'investigate', 'the', 'occurrence', 'of', 'shell', 'crossing', 'singularities', 'in', 'quasispherical', 'szekeres', 'dust', 'models', 'with', 'or', 'without', 'a', 'cosmological', 'constant', 'we', 'study', 'the', 'conditions', 'for', 'shell', 'crossing', 'singularity', 'both', 'from', 'physical', 'and', 'geometrical', 'point', 'of', 'view', 'and', 'they', 'are', 'in', 'agreement']] | [-0.142460837517865, 0.02494516926817596, -0.10665110887493938, 0.1357901674695313, -0.04857385614304803, -0.12677939530694857, 0.01175333820283413, 0.39451550794765355, -0.187003257824108, -0.2911196160130203, 0.11882720969733782, -0.25766099120955915, -0.08817889586207457, 0.1053148994629737, -0.039585334993898866, 0.010120222275145353, 0.04626680889632553, -0.037854878371581434, -0.12302334049309138, -0.15571910320431925, 0.43670100225135683, 0.06980534251779318, 0.17627875285688788, 0.04543647473910824, 0.04118304009316489, -0.04116147210588679, -0.0003585673635825515, 0.06615212473552674, -0.2540082979714498, 0.016544540831819176, 0.1550481113064052, 0.09608539524488151, 0.174927391204983, -0.5005678089335561, -0.2640433497261256, 0.07764990648720413, 0.14818082785932346, 0.17662078677676618, -0.0489362201304175, -0.24715864863246678, 0.06492237269412726, -0.13509977344656363, -0.24067537374794484, 0.017562533635646103, -0.013711326057091355, -0.0020043049997184427, -0.1889298191294074, 0.09572374327108264, 0.05741822333075106, 0.06953423412051052, -0.10810975171043538, -0.04479306424036622, -0.037379030813463034, 0.07550733356620185, 0.08665949800633825, -0.04797982166637667, 0.11096658550668508, -0.1741246890509501, -0.03517790692858398, 0.4377905631437898, -0.04193716989830136, -0.14458120930939913, 0.19557348110247402, -0.20264952308498324, -0.10751857502036728, 0.1533570099971257, 0.08555647775647231, 0.07356715686619282, -0.09396831025369465, 0.12443580818071495, 0.00542359366081655, 0.07062447159914882, 0.1764222163357772, -0.017398288940785277, 0.33193630902096627, 0.10411542386282235, -0.05745207821018994, 0.10233162012882531, -0.12035317672416568, -0.1657143868273124, -0.3710174784064293, -0.12837411366635934, -0.14084804146550595, 0.09981210250407457, -0.195819388084783, -0.2003793567419052, 0.34405161945614965, 0.09515428526792676, 0.2439934606780298, 0.026223001116886736, 0.21516895182430745, 0.025461343047209085, -0.012790668214438482, 0.123530320066493, 0.24894879343919457, 0.07910624297801405, 0.047994507162366064, -0.22122099103289655, 0.0356286960770376, 0.03682207590900362] |
712.2556 | Strong-field control of x-ray absorption | Strong optical laser fields modify the way x rays interact with matter. This
allows us to use x rays to gain deeper insight into strong-field processes.
Alternatively, optical lasers may be utilized to control the propagation of x
rays through a medium. Gas-phase systems are particularly suitable for
illustrating the basic principles underlying combined x-ray and laser
interactions. Topics addressed include the impact of spin-orbit interaction on
the alignment of atomic ions produced in a strong laser field,
electromagnetically induced transparency in the x-ray regime, and laser-induced
alignment of molecules.
| physics.atom-ph physics.chem-ph physics.optics | strong optical laser fields modify the way x rays interact with matter this allows us to use x rays to gain deeper insight into strongfield processes alternatively optical lasers may be utilized to control the propagation of x rays through a medium gasphase systems are particularly suitable for illustrating the basic principles underlying combined xray and laser interactions topics addressed include the impact of spinorbit interaction on the alignment of atomic ions produced in a strong laser field electromagnetically induced transparency in the xray regime and laserinduced alignment of molecules | [['strong', 'optical', 'laser', 'fields', 'modify', 'the', 'way', 'x', 'rays', 'interact', 'with', 'matter', 'this', 'allows', 'us', 'to', 'use', 'x', 'rays', 'to', 'gain', 'deeper', 'insight', 'into', 'strongfield', 'processes', 'alternatively', 'optical', 'lasers', 'may', 'be', 'utilized', 'to', 'control', 'the', 'propagation', 'of', 'x', 'rays', 'through', 'a', 'medium', 'gasphase', 'systems', 'are', 'particularly', 'suitable', 'for', 'illustrating', 'the', 'basic', 'principles', 'underlying', 'combined', 'xray', 'and', 'laser', 'interactions', 'topics', 'addressed', 'include', 'the', 'impact', 'of', 'spinorbit', 'interaction', 'on', 'the', 'alignment', 'of', 'atomic', 'ions', 'produced', 'in', 'a', 'strong', 'laser', 'field', 'electromagnetically', 'induced', 'transparency', 'in', 'the', 'xray', 'regime', 'and', 'laserinduced', 'alignment', 'of', 'molecules']] | [-0.13213342133288583, 0.20059475844932928, -0.0774808606372163, 0.1057941886686927, -0.08013706200290471, -0.10573476736640765, 0.0650494334844148, 0.4961501316063934, -0.3180248740232653, -0.2787325609061453, -0.05777495554389639, -0.26211795854760567, -0.05008518523019221, 0.217167954860876, 0.03967340202588174, -0.006044105160981417, 0.021982225030660628, -0.09532199801049299, 0.013002992876701884, -0.16859309162634115, 0.28233816599369876, 0.10630652215331793, 0.2562525684065703, 0.08146659208254682, 0.12041602502059605, 0.04374042466903726, 0.011535592604842451, -0.03823883630749252, -0.10009959650536378, 0.14068059648076695, 0.22788519065684845, 0.03275187271647155, 0.22756733706531426, -0.5099202939826581, -0.30299048653493327, 0.0515349687077105, 0.15130022873377635, 0.09595353740571429, -0.1141269961022772, -0.31360462748756013, -0.04015679253886143, -0.11038094347135888, -0.14746085156997044, -0.05539257208713227, -0.051658981333538474, 0.1066969898632831, -0.2770192802935425, -0.04042625092487368, 0.046690744373093666, 0.04618273044211997, -0.05043831277806829, -0.028928499668836594, 0.005330939834109611, 0.08075404447606868, -0.0032723318474988145, 0.04897262014759084, 0.23265573961996577, -0.14877021776822705, -0.07725959539206492, 0.44676269284553, -0.08703652171728511, -0.08353059718178378, 0.2250188927890526, -0.18745330569638302, -0.09050058346345193, 0.2225099105387926, 0.2165529870428145, 0.09840118655314048, -0.14506008968585068, 0.06701707399527852, 0.04977254568495684, 0.1973710278592383, 0.1112285438976768, 0.13313905865781836, 0.26008548762442335, 0.1578768790570191, 0.023556823780139288, 0.10307676159750877, -0.08953444528031267, -0.01671484869180454, -0.2313852781119446, -0.11241683365207994, -0.10568540189932618, 0.10016546545731318, -0.05201591677000073, -0.08422509144681195, 0.3529165710477779, 0.15561718687854914, 0.11736230961978436, -0.1391868964380895, 0.3086153047573235, 0.06965510252242287, 0.019356845890999667, -0.02986614199148284, 0.32926596181674134, 0.2161793197505176, 0.0913840740505192, -0.23928108944868048, 0.048091779807065096, 0.008446077754100164] |
712.2557 | A Note on the Radiatively Induced Lorentz and CPT Violated
Chern-Simons-like Term in the Extended Quantum Electrodynamics | We show that the ambiguity for the Chern-Simons-like term induced from
quantum correction in the extended QED should have nothing to do with the
approximation on the exact fermionic propagator, contradictory to the claim in
Ref.[19]. Further, we investigate the induced Chern-Simons-like term using the
original 't Hooft-Veltman dimensional regularization and reproduce the result
obtained by gauge symmetry analysis. This fact demonstrates that the origin of
the ambiguity should lie in different choices on regularization schemes.
| hep-th | we show that the ambiguity for the chernsimonslike term induced from quantum correction in the extended qed should have nothing to do with the approximation on the exact fermionic propagator contradictory to the claim in ref19 further we investigate the induced chernsimonslike term using the original t hooftveltman dimensional regularization and reproduce the result obtained by gauge symmetry analysis this fact demonstrates that the origin of the ambiguity should lie in different choices on regularization schemes | [['we', 'show', 'that', 'the', 'ambiguity', 'for', 'the', 'chernsimonslike', 'term', 'induced', 'from', 'quantum', 'correction', 'in', 'the', 'extended', 'qed', 'should', 'have', 'nothing', 'to', 'do', 'with', 'the', 'approximation', 'on', 'the', 'exact', 'fermionic', 'propagator', 'contradictory', 'to', 'the', 'claim', 'in', 'ref19', 'further', 'we', 'investigate', 'the', 'induced', 'chernsimonslike', 'term', 'using', 'the', 'original', 't', 'hooftveltman', 'dimensional', 'regularization', 'and', 'reproduce', 'the', 'result', 'obtained', 'by', 'gauge', 'symmetry', 'analysis', 'this', 'fact', 'demonstrates', 'that', 'the', 'origin', 'of', 'the', 'ambiguity', 'should', 'lie', 'in', 'different', 'choices', 'on', 'regularization', 'schemes']] | [-0.1188069133957227, 0.1083567188307643, -0.10457137161244949, 0.11829117165723195, -0.08749019126097361, -0.10432874393338959, 0.038000537091866134, 0.3635963866611322, -0.23061353020370007, -0.2901149097457528, 0.04350893998052925, -0.25393075118462244, -0.17500294298525357, 0.10053076372947543, -0.07749246510366599, 0.013511495552957059, 0.028181697614490984, 0.05273032796879609, -0.12291697853555282, -0.2549203221251567, 0.3688388082012534, 0.020395283427011843, 0.25936710186302664, 0.0802040239609778, 0.11624280288194616, 0.011086512307326, -0.06393066602448623, 0.00930861736803005, -0.11525850723284141, 0.06304540802414219, 0.19143152544585368, 0.0357427545885245, 0.21565009099741778, -0.4057910567522049, -0.24637082712103922, 0.07196936867510279, 0.14427472269783417, 0.16036812394857405, -0.019992267368361353, -0.29774712312966584, 0.05551239571223656, -0.17473893996948997, -0.1357488652365282, -0.12799482226371764, -0.05880737404649456, -0.10515190054972967, -0.2569085428180794, 0.0776465649654468, 0.07738732739041249, 0.00046563804149627684, -0.06893361070736621, -0.10872785387560725, 0.007802033890038728, 0.07909758880734444, 0.11318509897838036, 0.05093487497419119, 0.0613639787659243, -0.12986509887317274, -0.15222344930904608, 0.38265272315591575, -0.123320675753057, -0.23789389612774053, 0.15218371734023095, -0.15604714471225936, -0.17018235322708886, 0.07137009494006634, 0.09042928551634152, 0.09509695728619894, -0.13305929396301508, 0.17246175039481992, -0.029210374696801107, 0.1373310909792781, 0.07760230103197197, 0.051017493444184464, 0.14125591600934664, 0.03268964268189545, 0.008491992397854725, 0.13136387250696618, -0.017138382152964673, -0.13307634561012188, -0.38510164270798364, -0.09881549964038035, -0.1640056317423781, 0.09012486078621199, -0.09286918504765102, -0.13136539480338494, 0.35816484340777, 0.22494882690021767, 0.16857489864031475, 0.011891957732538382, 0.2799276211919884, 0.15261148172120254, 0.1457274970311361, 0.02513984824841221, 0.26812452589472136, 0.06953922767502566, 0.04751880952467521, -0.32820243245301145, -0.008153459969908, 0.14589259993284942] |
712.2558 | A random-coding based proof for the quantum coding theorem | We present a proof for the quantum channel coding theorem which relies on the
fact that a randomly chosen code space typically is highly suitable for quantum
error correction. In this sense, the proof is close to Shannon's original
treatment of information transmission via a noisy classical channel.
| quant-ph | we present a proof for the quantum channel coding theorem which relies on the fact that a randomly chosen code space typically is highly suitable for quantum error correction in this sense the proof is close to shannons original treatment of information transmission via a noisy classical channel | [['we', 'present', 'a', 'proof', 'for', 'the', 'quantum', 'channel', 'coding', 'theorem', 'which', 'relies', 'on', 'the', 'fact', 'that', 'a', 'randomly', 'chosen', 'code', 'space', 'typically', 'is', 'highly', 'suitable', 'for', 'quantum', 'error', 'correction', 'in', 'this', 'sense', 'the', 'proof', 'is', 'close', 'to', 'shannons', 'original', 'treatment', 'of', 'information', 'transmission', 'via', 'a', 'noisy', 'classical', 'channel']] | [-0.13655995468919477, 0.05215859467474123, -0.13160480706331631, 0.07528255957731744, -0.05706254053317631, -0.24271344091782035, 0.12324001597880851, 0.3101811206433922, -0.304715179062138, -0.22878932343640676, 0.13746796966491578, -0.20668708392380117, -0.15981856756843626, 0.2205710455115574, -0.17822104721562937, 0.069813340359057, 0.11763668075824778, 0.07409500998134415, -0.04994517552646963, -0.26356228679651394, 0.32935863035769825, 0.08726125012132495, 0.3138167650710481, 0.017686636856524274, 0.1086517718504183, 0.10966297066382442, -0.050927747669144686, -0.0682289099428696, -0.13763724489232723, 0.14674348124147704, 0.2705545693849369, 0.10659821870891999, 0.30864645075052977, -0.3490483029745519, -0.23725230341854817, 0.0557311474888896, 0.11799860760220326, 0.21354887200626158, -0.06557267060513065, -0.2850433483060139, 0.10657414495653939, -0.12133703620444673, -0.025539917502707492, -0.015125818880430112, -0.045868151976416506, -0.046141443347247936, -0.3329322802213331, 0.06624855154950637, 0.09804798912955448, 0.026738873081437003, 0.04102730820886791, -0.05409953694712991, 0.0662906899524387, 0.10983415360290867, -0.042436834366526455, 0.0568534401851745, 0.13684537162771448, -0.06356240608874941, -0.07940162180602783, 0.3444216728288059, -0.020293513599123496, -0.2573047870537266, 0.12900592773075914, -0.060019502435655646, -0.08517072978429496, 0.13158618650049902, 0.14023137057665735, 0.10520796788235505, -0.16541900280086944, 0.06939679800416343, -0.06741079389272879, 0.2328070995475476, 0.044968188488079854, 0.14043131432845257, 0.14428676354388395, 0.10268530350852718, 0.07832915192314734, 0.15429700325087956, -0.06193315728160087, -0.1815614677616395, -0.34490308339203085, -0.18051261106544794, -0.281090216517138, 0.09247044814401306, -0.09257788213047509, -0.21225091791711748, 0.3095601370926791, 0.12333017963464954, 0.12547238381618323, 0.0981451058590513, 0.3579219807870686, 0.10853278959014763, 0.022660863919251522, 0.11602769862899247, 0.2057478770148009, 0.18047927464552535, 0.07263923709009153, -0.14123622582216436, 0.08845101528762218, 0.110532160984197] |
712.2559 | Cycle time of stochastic max-plus linear systems | We analyze the asymptotic behavior of sequences of random variables defined
by an initial condition, a stationary and ergodic sequence of random matrices,
and an induction formula involving multiplication is the so-called max-plus
algebra. This type of recursive sequences are frequently used in applied
probability as they model many systems as some queueing networks, train and
computer networks, and production systems. We give a necessary condition for
the recursive sequences to satisfy a strong law of large numbers, which proves
to be sufficient when the matrices are i.i.d. Moreover, we construct a new
example, in which the sequence of matrices is strongly mixing, that condition
is satisfied, but the recursive sequence do not converges almost surely.
| math.PR cs.DM | we analyze the asymptotic behavior of sequences of random variables defined by an initial condition a stationary and ergodic sequence of random matrices and an induction formula involving multiplication is the socalled maxplus algebra this type of recursive sequences are frequently used in applied probability as they model many systems as some queueing networks train and computer networks and production systems we give a necessary condition for the recursive sequences to satisfy a strong law of large numbers which proves to be sufficient when the matrices are iid moreover we construct a new example in which the sequence of matrices is strongly mixing that condition is satisfied but the recursive sequence do not converges almost surely | [['we', 'analyze', 'the', 'asymptotic', 'behavior', 'of', 'sequences', 'of', 'random', 'variables', 'defined', 'by', 'an', 'initial', 'condition', 'a', 'stationary', 'and', 'ergodic', 'sequence', 'of', 'random', 'matrices', 'and', 'an', 'induction', 'formula', 'involving', 'multiplication', 'is', 'the', 'socalled', 'maxplus', 'algebra', 'this', 'type', 'of', 'recursive', 'sequences', 'are', 'frequently', 'used', 'in', 'applied', 'probability', 'as', 'they', 'model', 'many', 'systems', 'as', 'some', 'queueing', 'networks', 'train', 'and', 'computer', 'networks', 'and', 'production', 'systems', 'we', 'give', 'a', 'necessary', 'condition', 'for', 'the', 'recursive', 'sequences', 'to', 'satisfy', 'a', 'strong', 'law', 'of', 'large', 'numbers', 'which', 'proves', 'to', 'be', 'sufficient', 'when', 'the', 'matrices', 'are', 'iid', 'moreover', 'we', 'construct', 'a', 'new', 'example', 'in', 'which', 'the', 'sequence', 'of', 'matrices', 'is', 'strongly', 'mixing', 'that', 'condition', 'is', 'satisfied', 'but', 'the', 'recursive', 'sequence', 'do', 'not', 'converges', 'almost', 'surely']] | [-0.16851868241591828, 0.14086747066953806, -0.08409566597226237, 0.1322424395656181, -0.041026904552789595, -0.16591774801129539, 0.033131566507830126, 0.3613082614309829, -0.32105111484897547, -0.22116130367644002, 0.1589043581605375, -0.21859438179232932, -0.2027618977741001, 0.19489401842945192, -0.12239581964717343, 0.08411332638031033, 0.09238095726649245, 0.08075744047728849, -0.036915343326058815, -0.2754835810347717, 0.32318910743623713, -0.011720450273875532, 0.2663030942966198, -0.02085392405921272, 0.11650394063426889, 0.009234863538134458, 0.009546169282061626, -0.006680142993492813, -0.09908968986822182, 0.06789648848593813, 0.22555539479222278, 0.16885345348895625, 0.27647851047844724, -0.4019641492250857, -0.12723978620488197, 0.19605001029237334, 0.17107645554291406, 0.08264865748512012, -0.027702422395091634, -0.23172898022939675, 0.14799793172178083, -0.15262697851345552, -0.1265519093360816, -0.10043188540971484, 0.0063877275518687635, 0.11209612909166528, -0.38539164899527256, 0.027205349991884852, 0.12759470732095812, 0.05149631196801583, -0.020621675399838592, -0.09301431868867628, 0.012657876339227218, 0.14712939057664762, 0.02465277479194779, -0.019237717262324715, 0.07893410678712073, -0.07901637461076587, -0.11340648973569402, 0.3297021834677535, -0.039921596186669094, -0.25020690016641184, 0.16973094659022472, -0.11543181413736452, -0.18068593560621657, 0.10802086202251114, 0.14948509326044085, 0.13166186490613246, -0.19522778644762906, 0.07551306908034944, -0.08868150766095917, 0.14042039717856697, 0.07399360309274675, 0.043490028069033446, 0.13776977124206466, 0.10156705663820471, 0.09741628410822535, 0.1485785984038777, 0.012933933870577863, -0.10417384251647083, -0.3003931480082523, -0.1437046796701656, -0.21340855783261037, 0.09852655791160189, -0.11685210848096678, -0.24663375538035198, 0.33632561074296846, 0.11267089790961674, 0.19663092450656253, 0.1612214228230657, 0.2140641210616791, 0.1801780961440868, 0.024987950382136002, 0.06994113515548665, 0.09861480031320062, 0.21188657096755723, 0.10638725699792648, -0.11549643515448632, 0.10269282960959164, 0.1296896026208836] |
712.256 | Effective field theories for QCD with rooted staggered fermions | Even highly improved variants of lattice QCD with staggered fermions show
significant violations of taste symmetry at currently accessible lattice
spacings. In addition, the "rooting trick" is used in order to simulate with
the correct number of light sea quarks, and this makes the lattice theory
nonlocal, even though there is good reason to believe that the continuum limit
is in the correct universality class. In order to understand scaling
violations, it is thus necessary to extend the construction of the Symanzik
effective theory to include rooted staggered fermions. We show how this can be
done, starting from a generalization of the renormalization-group approach to
rooted staggered fermions recently developed by one of us. We then explain how
the chiral effective theory follows from the Symanzik action, and show that it
leads to "rooted" staggered chiral perturbation theory as the correct chiral
theory for QCD with rooted staggered fermions. We thus establish a direct link
between the renormalization-group based arguments for the correctness of the
continuum limit and the success of rooted staggered chiral perturbation theory
in fitting numerical results obtained with the rooting trick. In order to
develop our argument, we need to assume the existence of a standard
partially-quenched chiral effective theory for any local partially-quenched
theory. Other technical, but standard, assumptions are also required.
| hep-lat | even highly improved variants of lattice qcd with staggered fermions show significant violations of taste symmetry at currently accessible lattice spacings in addition the rooting trick is used in order to simulate with the correct number of light sea quarks and this makes the lattice theory nonlocal even though there is good reason to believe that the continuum limit is in the correct universality class in order to understand scaling violations it is thus necessary to extend the construction of the symanzik effective theory to include rooted staggered fermions we show how this can be done starting from a generalization of the renormalizationgroup approach to rooted staggered fermions recently developed by one of us we then explain how the chiral effective theory follows from the symanzik action and show that it leads to rooted staggered chiral perturbation theory as the correct chiral theory for qcd with rooted staggered fermions we thus establish a direct link between the renormalizationgroup based arguments for the correctness of the continuum limit and the success of rooted staggered chiral perturbation theory in fitting numerical results obtained with the rooting trick in order to develop our argument we need to assume the existence of a standard partiallyquenched chiral effective theory for any local partiallyquenched theory other technical but standard assumptions are also required | [['even', 'highly', 'improved', 'variants', 'of', 'lattice', 'qcd', 'with', 'staggered', 'fermions', 'show', 'significant', 'violations', 'of', 'taste', 'symmetry', 'at', 'currently', 'accessible', 'lattice', 'spacings', 'in', 'addition', 'the', 'rooting', 'trick', 'is', 'used', 'in', 'order', 'to', 'simulate', 'with', 'the', 'correct', 'number', 'of', 'light', 'sea', 'quarks', 'and', 'this', 'makes', 'the', 'lattice', 'theory', 'nonlocal', 'even', 'though', 'there', 'is', 'good', 'reason', 'to', 'believe', 'that', 'the', 'continuum', 'limit', 'is', 'in', 'the', 'correct', 'universality', 'class', 'in', 'order', 'to', 'understand', 'scaling', 'violations', 'it', 'is', 'thus', 'necessary', 'to', 'extend', 'the', 'construction', 'of', 'the', 'symanzik', 'effective', 'theory', 'to', 'include', 'rooted', 'staggered', 'fermions', 'we', 'show', 'how', 'this', 'can', 'be', 'done', 'starting', 'from', 'a', 'generalization', 'of', 'the', 'renormalizationgroup', 'approach', 'to', 'rooted', 'staggered', 'fermions', 'recently', 'developed', 'by', 'one', 'of', 'us', 'we', 'then', 'explain', 'how', 'the', 'chiral', 'effective', 'theory', 'follows', 'from', 'the', 'symanzik', 'action', 'and', 'show', 'that', 'it', 'leads', 'to', 'rooted', 'staggered', 'chiral', 'perturbation', 'theory', 'as', 'the', 'correct', 'chiral', 'theory', 'for', 'qcd', 'with', 'rooted', 'staggered', 'fermions', 'we', 'thus', 'establish', 'a', 'direct', 'link', 'between', 'the', 'renormalizationgroup', 'based', 'arguments', 'for', 'the', 'correctness', 'of', 'the', 'continuum', 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712.2561 | The Monge-Amp\`ere-Kantorovich approach to reconstruction in cosmology | Motion of a continuous fluid can be decomposed into an "incompressible"
rearrangement, which preserves the volume of each infinitesimal fluid element,
and a gradient map that transfers fluid elements in a way unaffected by any
pressure or elasticity (the polar decomposition of Y. Brenier). The Euler
equation describes a system whose kinematics is dominated by the incompressible
rearrangement. The opposite limit, in which the incompressible component is
negligible, corresponds to the Zel'dovich approximation, a model of motion of
self-gravitating fluid in cosmology.
We present a method of approximate reconstruction of the large-scale proper
motions of matter in the Universe from the present-day mass density field. The
method is based on recovering the corresponding gradient transfer map. We
discuss its algorithmics, tests of the method against mock cosmological
catalogues, and its application to observational data, which result in tight
constraints on the mean mass density Omega_m and age of the Universe.
| astro-ph | motion of a continuous fluid can be decomposed into an incompressible rearrangement which preserves the volume of each infinitesimal fluid element and a gradient map that transfers fluid elements in a way unaffected by any pressure or elasticity the polar decomposition of y brenier the euler equation describes a system whose kinematics is dominated by the incompressible rearrangement the opposite limit in which the incompressible component is negligible corresponds to the zeldovich approximation a model of motion of selfgravitating fluid in cosmology we present a method of approximate reconstruction of the largescale proper motions of matter in the universe from the presentday mass density field the method is based on recovering the corresponding gradient transfer map we discuss its algorithmics tests of the method against mock cosmological catalogues and its application to observational data which result in tight constraints on the mean mass density omega_m and age of the universe | [['motion', 'of', 'a', 'continuous', 'fluid', 'can', 'be', 'decomposed', 'into', 'an', 'incompressible', 'rearrangement', 'which', 'preserves', 'the', 'volume', 'of', 'each', 'infinitesimal', 'fluid', 'element', 'and', 'a', 'gradient', 'map', 'that', 'transfers', 'fluid', 'elements', 'in', 'a', 'way', 'unaffected', 'by', 'any', 'pressure', 'or', 'elasticity', 'the', 'polar', 'decomposition', 'of', 'y', 'brenier', 'the', 'euler', 'equation', 'describes', 'a', 'system', 'whose', 'kinematics', 'is', 'dominated', 'by', 'the', 'incompressible', 'rearrangement', 'the', 'opposite', 'limit', 'in', 'which', 'the', 'incompressible', 'component', 'is', 'negligible', 'corresponds', 'to', 'the', 'zeldovich', 'approximation', 'a', 'model', 'of', 'motion', 'of', 'selfgravitating', 'fluid', 'in', 'cosmology', 'we', 'present', 'a', 'method', 'of', 'approximate', 'reconstruction', 'of', 'the', 'largescale', 'proper', 'motions', 'of', 'matter', 'in', 'the', 'universe', 'from', 'the', 'presentday', 'mass', 'density', 'field', 'the', 'method', 'is', 'based', 'on', 'recovering', 'the', 'corresponding', 'gradient', 'transfer', 'map', 'we', 'discuss', 'its', 'algorithmics', 'tests', 'of', 'the', 'method', 'against', 'mock', 'cosmological', 'catalogues', 'and', 'its', 'application', 'to', 'observational', 'data', 'which', 'result', 'in', 'tight', 'constraints', 'on', 'the', 'mean', 'mass', 'density', 'omega_m', 'and', 'age', 'of', 'the', 'universe']] | [-0.13270454327420642, 0.09290702502408142, -0.16050474921551844, 0.029560845021624118, -0.04785382021528979, -0.037131720650941134, -0.016994709615440418, 0.3090554476281007, -0.3058682405063882, -0.29624782177930076, 0.07853404116428768, -0.23028038717767535, -0.06452594716877987, 0.15252003219909965, -0.03776585029748579, 0.03015756332548335, 0.049718709401786326, 0.004127969501229624, -0.07238416981107244, -0.1999125013872981, 0.31779336305956046, 0.045139200361445544, 0.24693344510199192, -0.034363026031448196, 0.16742741882568224, -0.04989961924807479, -0.06828954116751751, 0.06904114452811579, -0.1622234417485015, 0.08152791723608971, 0.17322043078641097, 0.082666544765234, 0.2483880474139005, -0.39595619185517233, -0.20720411315560341, 0.07996832713562374, 0.1331700162962079, 0.12122450712524975, -0.060268170651979744, -0.2755609476317962, 0.04553558703822394, -0.1648167812762161, -0.13759828720862666, -0.04041619590949267, 0.019631160855448495, 0.026482000922163327, -0.24884945211000742, 0.1757262842512379, 0.05479309790457288, 0.0036511549167335035, -0.14514072824735194, -0.0913329165110675, -0.05410140750308832, 0.0842795788977916, 0.04781010910946255, 0.08081781149220964, 0.16464878702225785, -0.1796446050501739, -0.03043418554783178, 0.4468015293776989, -0.11598455059458501, -0.2227566700382158, 0.14544709947736312, -0.1401549226976931, -0.10070865545111397, 0.13933954477310181, 0.17866561031589906, 0.09490719635175386, -0.13618585920271775, 0.12783045388641767, -0.04950674407339344, 0.15588495352926354, 0.05066990599657099, -0.07872197016064698, 0.23057082149044922, 0.15561350922100245, 0.09435298843930165, 0.0950018805944516, -0.10495420649958154, -0.09350178677899142, -0.3250250033040841, -0.1862388990446925, -0.19668979273332904, 0.04764395095097522, -0.15163595752451026, -0.21679791287208597, 0.35849945156524576, 0.12257307993558546, 0.1709149678827574, 0.029927814797653506, 0.33914381875190885, 0.09326407557353378, 0.01619921026751399, 0.11342266910840408, 0.24199781329836698, 0.2033017435017973, 0.07189542268713316, -0.24595719675378253, 0.03983802342787385, 0.11608397267758847] |
712.2562 | A new model and its physics | The high temperature superconductivity in cuprate materials1 has puzzled
scientists over twenty years. We must find a new way to understand
superconductivity. It is found the spin-charge correlation may dominate the
superconductivity2, and we base our judgment upon the features of various
superconductors. Thus we presented the idea that superconductivity could be
described by correlations. To develop this idea into a quantitative theory, the
first work is to give a model and show that various superconductivities can be
included in this model. Moreover, superconductivity can originate from the
spin-singlet pairing3 or from the spin-triplet pairing4. The spin-singlet
pairing favors to appear at the border of antiferromagnetism5, while the
spin-triplet pairing favors to appear at the border of ferromagnetism6. The
coexistence between superconductivity and magnetism is also possible7,8.
Therefore, the second work is to reveal the relation between superconductivity
and magnetism.
| physics.gen-ph | the high temperature superconductivity in cuprate materials1 has puzzled scientists over twenty years we must find a new way to understand superconductivity it is found the spincharge correlation may dominate the superconductivity2 and we base our judgment upon the features of various superconductors thus we presented the idea that superconductivity could be described by correlations to develop this idea into a quantitative theory the first work is to give a model and show that various superconductivities can be included in this model moreover superconductivity can originate from the spinsinglet pairing3 or from the spintriplet pairing4 the spinsinglet pairing favors to appear at the border of antiferromagnetism5 while the spintriplet pairing favors to appear at the border of ferromagnetism6 the coexistence between superconductivity and magnetism is also possible78 therefore the second work is to reveal the relation between superconductivity and magnetism | [['the', 'high', 'temperature', 'superconductivity', 'in', 'cuprate', 'materials1', 'has', 'puzzled', 'scientists', 'over', 'twenty', 'years', 'we', 'must', 'find', 'a', 'new', 'way', 'to', 'understand', 'superconductivity', 'it', 'is', 'found', 'the', 'spincharge', 'correlation', 'may', 'dominate', 'the', 'superconductivity2', 'and', 'we', 'base', 'our', 'judgment', 'upon', 'the', 'features', 'of', 'various', 'superconductors', 'thus', 'we', 'presented', 'the', 'idea', 'that', 'superconductivity', 'could', 'be', 'described', 'by', 'correlations', 'to', 'develop', 'this', 'idea', 'into', 'a', 'quantitative', 'theory', 'the', 'first', 'work', 'is', 'to', 'give', 'a', 'model', 'and', 'show', 'that', 'various', 'superconductivities', 'can', 'be', 'included', 'in', 'this', 'model', 'moreover', 'superconductivity', 'can', 'originate', 'from', 'the', 'spinsinglet', 'pairing3', 'or', 'from', 'the', 'spintriplet', 'pairing4', 'the', 'spinsinglet', 'pairing', 'favors', 'to', 'appear', 'at', 'the', 'border', 'of', 'antiferromagnetism5', 'while', 'the', 'spintriplet', 'pairing', 'favors', 'to', 'appear', 'at', 'the', 'border', 'of', 'ferromagnetism6', 'the', 'coexistence', 'between', 'superconductivity', 'and', 'magnetism', 'is', 'also', 'possible78', 'therefore', 'the', 'second', 'work', 'is', 'to', 'reveal', 'the', 'relation', 'between', 'superconductivity', 'and', 'magnetism']] | [-0.16815663768062578, 0.17698986920759194, -0.11708013177674292, 0.10486337515749597, -0.09439010020079357, -0.12877241736698083, 0.09743282474363853, 0.34558017670239943, -0.25797669289115455, -0.27467543069497313, -0.017543414290784334, -0.3141912655078603, -0.14770625284662878, 0.14794055583424642, 0.010383314985249723, -0.053566421614084536, -0.07125677585101134, -0.006972409198340729, -0.11877750385818737, -0.28034171060223745, 0.35950789578553094, 0.00790744947087496, 0.3314133879231443, 0.1479089753212113, -0.010440937723068143, -0.04288832027171003, 0.0682771072155775, 0.010102043460522379, -0.10902939992136221, 0.09282063135765213, 0.3308998836568536, 0.026880095215668354, 0.23245396986043543, -0.43564416162837716, -0.247589317314971, 0.04257638389034603, 0.16089544864852837, 0.16055386096302113, -0.024640357181345832, -0.2844119110193692, 0.09455011583185453, -0.1851421991219618, -0.10212677389582885, -0.10844337679113128, -0.027717187762596553, -0.057003577296268475, -0.24033770475648625, 0.08537471702097411, 0.08415116221272856, 0.06368404172388907, -0.07047568173130232, -0.10188536689077553, -0.0458941319257133, 0.0706903315516875, 0.0913960285768389, 0.08328912039182353, 0.05030349901478205, -0.10958907467705246, -0.1073538660648615, 0.3524873507930372, -0.01069290097102635, -0.06285124428962406, 0.22154999607683798, -0.14633151661618649, -0.07707061257941607, 0.09334388917270012, 0.10601886345031566, 0.03656341866204949, -0.13565070904035093, 0.022116899654092845, -0.04758103357810051, 0.17922793406488977, -0.0045355341810368955, 0.06659190688646377, 0.2964527536169591, 0.20801607023616484, 0.04435034213181501, 0.10433939471665798, -0.09695958997354023, -0.06197969263412507, -0.2654269437578724, -0.17757500993101893, -0.17188575209811666, 0.011331249863483515, 0.00423336676120604, -0.12189575706265475, 0.3865860206078514, 0.20549390558591044, 0.21219921135868794, -0.06715436223754309, 0.1995212961184351, 0.07179365681985014, 0.10539243834117722, 0.04825800398882842, 0.2775444872327205, 0.1382181415057748, 0.10115634451560761, -0.2586862815010512, 0.12765453387090334, 0.03359533759198131] |
712.2563 | Atom--photon momentum entanglement with quantum interference | With quantum interference of two-path spontaneous emissions, we propose a
novel scheme to coherently control the atom--photon momentum entanglement
through atomic internal coherence. A novel phenomenon called ``momentum phase
entanglement'' is reported, and we found, under certain conditions, that more
controllable entangled state can be produced with super--high degree of
entanglement.
| quant-ph | with quantum interference of twopath spontaneous emissions we propose a novel scheme to coherently control the atomphoton momentum entanglement through atomic internal coherence a novel phenomenon called momentum phase entanglement is reported and we found under certain conditions that more controllable entangled state can be produced with superhigh degree of entanglement | [['with', 'quantum', 'interference', 'of', 'twopath', 'spontaneous', 'emissions', 'we', 'propose', 'a', 'novel', 'scheme', 'to', 'coherently', 'control', 'the', 'atomphoton', 'momentum', 'entanglement', 'through', 'atomic', 'internal', 'coherence', 'a', 'novel', 'phenomenon', 'called', 'momentum', 'phase', 'entanglement', 'is', 'reported', 'and', 'we', 'found', 'under', 'certain', 'conditions', 'that', 'more', 'controllable', 'entangled', 'state', 'can', 'be', 'produced', 'with', 'superhigh', 'degree', 'of', 'entanglement']] | [-0.22467382817173048, 0.3431846964008668, -0.10584149290533627, 0.026281559358204844, -0.020789785707807717, -0.22055667652474606, 0.052678331636878496, 0.4352193745035751, -0.26420682858602673, -0.2414868553351684, -0.046806073857142645, -0.2042809571504739, -0.12283210449066817, 0.1555006158556424, -0.034911873074723224, 0.11067258621401646, 0.03350448460482499, -0.021216412458349678, -0.03939856725343156, -0.14710913470708856, 0.33131757052615285, 0.058971418611655085, 0.36869439037114965, 0.0982286877069604, 0.1789706413834995, -0.003953132616337754, 0.0854864130344461, -0.010178085818302398, -0.11047901053911226, 0.09051883868489634, 0.24069309300359557, 0.12127953888300587, 0.2359139704528977, -0.42011393895190136, -0.22407942723628937, 0.12677596665590124, 0.13360028828987303, 0.21181350283543854, -0.08467143898808133, -0.3540829920082116, -0.026768946581903624, -0.21490203381736314, -0.11524543044723425, -0.15670286429425082, -0.07134565262708302, -0.05813493747629371, -0.29103697219169605, 0.10542871089031298, 0.02074563428508483, 0.04511544345786758, 0.04271646329731334, 0.059244105770417, -0.05320752464125261, 0.02436949062508111, -0.08129157095362305, 0.008305380627622498, 0.1350612770857326, -0.10655260622939643, -0.19258121572727083, 0.3416677428884249, -0.05112297847574832, -0.18200984210153703, 0.14551159944020065, -0.131299435471495, -0.06499836761869636, 0.1433971445350086, 0.1395453234458817, 0.1217259343263554, -0.14916385609802663, -0.05217572159302768, -0.007544875345831993, 0.22143096298289797, 0.0769764671978705, 0.25581224294671534, 0.20483595468834334, 0.1019001824817821, 0.10034988263585404, 0.2816767563710135, -0.10728222675913689, -0.14237688423600048, -0.27820195863936464, -0.16242243254593774, -0.2189175620510736, 0.10461610896905482, -0.026472328823943184, -0.05940101434494935, 0.40593476569547954, 0.12434699922325272, 0.1572165240844091, -0.037904834411307875, 0.299367599956253, 0.14646484364992848, 0.0674392562770449, 0.058178783805273915, 0.24978632494515063, 0.12379216967041001, 0.08709199175777316, -0.309546206374744, 0.06805034001887429, 0.006190837479616497] |
712.2564 | Mechanisms of Dendrites Occurrence during Crystallization: Features of
the Ice Crystals Formation | Dendrites formation in the course of crystallization presents very general
phenomenon, which is analyzed in details via the example of ice crystals growth
in deionized water. Neutral molecules of water on the surface are combined into
the double electric layer (DEL) of oriented dipoles; its field reorients
approaching dipoles with observable radio-emission in the range of 150 kHz. The
predominant attraction of oriented dipoles to points of gradients of this field
induces dendrites growth from them, e.g. formation of characteristic form of
snowflakes at free movement of clusters through saturated vapor in atmosphere.
The constant electric field strengthens DELs' field and the growth of
dendrites. Described phenomena should appear at crystallization of various
substances with dipole molecules, features of radio-emission can allow the
monitoring of certain processes in atmosphere and in technological processes.
Crystallization of particles without constant moments can be stimulated by DELs
of another nature with attraction of virtual moments of particles to gradients
of fields and corresponding dendrites formation.
| physics.ao-ph physics.gen-ph | dendrites formation in the course of crystallization presents very general phenomenon which is analyzed in details via the example of ice crystals growth in deionized water neutral molecules of water on the surface are combined into the double electric layer del of oriented dipoles its field reorients approaching dipoles with observable radioemission in the range of 150 khz the predominant attraction of oriented dipoles to points of gradients of this field induces dendrites growth from them eg formation of characteristic form of snowflakes at free movement of clusters through saturated vapor in atmosphere the constant electric field strengthens dels field and the growth of dendrites described phenomena should appear at crystallization of various substances with dipole molecules features of radioemission can allow the monitoring of certain processes in atmosphere and in technological processes crystallization of particles without constant moments can be stimulated by dels of another nature with attraction of virtual moments of particles to gradients of fields and corresponding dendrites formation | [['dendrites', 'formation', 'in', 'the', 'course', 'of', 'crystallization', 'presents', 'very', 'general', 'phenomenon', 'which', 'is', 'analyzed', 'in', 'details', 'via', 'the', 'example', 'of', 'ice', 'crystals', 'growth', 'in', 'deionized', 'water', 'neutral', 'molecules', 'of', 'water', 'on', 'the', 'surface', 'are', 'combined', 'into', 'the', 'double', 'electric', 'layer', 'del', 'of', 'oriented', 'dipoles', 'its', 'field', 'reorients', 'approaching', 'dipoles', 'with', 'observable', 'radioemission', 'in', 'the', 'range', 'of', '150', 'khz', 'the', 'predominant', 'attraction', 'of', 'oriented', 'dipoles', 'to', 'points', 'of', 'gradients', 'of', 'this', 'field', 'induces', 'dendrites', 'growth', 'from', 'them', 'eg', 'formation', 'of', 'characteristic', 'form', 'of', 'snowflakes', 'at', 'free', 'movement', 'of', 'clusters', 'through', 'saturated', 'vapor', 'in', 'atmosphere', 'the', 'constant', 'electric', 'field', 'strengthens', 'dels', 'field', 'and', 'the', 'growth', 'of', 'dendrites', 'described', 'phenomena', 'should', 'appear', 'at', 'crystallization', 'of', 'various', 'substances', 'with', 'dipole', 'molecules', 'features', 'of', 'radioemission', 'can', 'allow', 'the', 'monitoring', 'of', 'certain', 'processes', 'in', 'atmosphere', 'and', 'in', 'technological', 'processes', 'crystallization', 'of', 'particles', 'without', 'constant', 'moments', 'can', 'be', 'stimulated', 'by', 'dels', 'of', 'another', 'nature', 'with', 'attraction', 'of', 'virtual', 'moments', 'of', 'particles', 'to', 'gradients', 'of', 'fields', 'and', 'corresponding', 'dendrites', 'formation']] | [-0.13471846955653746, 0.23091293914112612, -0.03415201807802078, -0.0007057232462102548, -0.019856958941090852, -0.07147374376472726, 0.02928075111558428, 0.3748289747774834, -0.25806264213752, -0.29804565948434175, 0.04630583554171608, -0.2477125277160667, -0.09945684338745195, 0.14804691876706783, 0.019904683975619265, -0.03337210990102903, -0.022019547280797268, -0.007926527260860895, 0.023241609978140332, -0.20311199683055747, 0.2866518430470023, 0.04774460505814204, 0.2652631274613668, 0.084095722764323, 0.07831067159131636, -0.018088663517846725, 0.044765708883642216, 0.009474738271092065, -0.13820374521892517, 0.09753987439289631, 0.24019821106921882, 0.027333606043248436, 0.1797678652917966, -0.5177232439746149, -0.23567119351937435, 0.06248187635501381, 0.1439101491362635, 0.10197773152249283, -0.0879754065121233, -0.2620816857495811, 0.02246102142671589, -0.06683393215644173, -0.18060585658822675, -0.01279272139800014, 0.025599146491731516, 0.10897045899853879, -0.2439818571561773, 0.08686341611028184, 0.0790905124427809, 0.10949525706455461, -0.12014233419831725, -0.10712872378699104, -0.06987204484830727, 0.10843422759353416, 0.05900533598687616, 0.011876639851834625, 0.2590508167959342, -0.1654819610172126, -0.08767553656944074, 0.3869092997847474, -0.11009357530492707, -0.10972915103729974, 0.23210255538579078, -0.2220234185893787, -0.08054550848319195, 0.2422009601345053, 0.19153528636379633, 0.10349080676824088, -0.14265799448476174, 0.04450786986822095, 0.04329390381462872, 0.12264114677527686, 0.12994098136841786, -0.02441370105043461, 0.29050228706328196, 0.1955493779911194, 0.03609066232456826, 0.1568142074123898, -0.09387455689739, -0.09031890160986222, -0.23771003388683312, -0.19431590218446218, -0.14363307680905563, 0.0339327535009943, -0.08950671882457754, -0.1975084552952467, 0.35757947487727504, 0.0708049980807118, 0.15979792869038648, -0.03821095511011663, 0.21237468352774158, 0.03941770422097761, 0.10310515816090629, 0.015310657687950879, 0.24073521966347472, 0.18609246609412367, 0.1143974742240971, -0.21203896698571043, 0.11401718172382971, 0.024739785163546912] |
712.2565 | Event-based computer simulation model of Aspect-type experiments
strictly satisfying Einstein's locality conditions | Inspired by Einstein-Podolsky-Rosen-Bohm experiments with photons, we
construct an event-based simulation model in which every essential element in
the ideal experiment has a counterpart. The model satisfies Einstein's criteria
of local causality and does not rely on concepts of quantum and probability
theory. We consider experiments in which the averages correspond to those of a
singlet and product state of a system of two $S=1/2$ particles. The data is
analyzed according to the experimental procedure, employing a time window to
identify pairs. We study how the time window and the passage time of the
photons, which depends on the relative angle between their polarization and the
polarizer's direction, influences the correlations, demonstrating that the
properties of the optical elements in the observation stations affect the
correlations although the stations are separated spatially and temporarily. We
show that the model can reproduce results which are considered to be
intrinsically quantum mechanical.
| quant-ph | inspired by einsteinpodolskyrosenbohm experiments with photons we construct an eventbased simulation model in which every essential element in the ideal experiment has a counterpart the model satisfies einsteins criteria of local causality and does not rely on concepts of quantum and probability theory we consider experiments in which the averages correspond to those of a singlet and product state of a system of two s12 particles the data is analyzed according to the experimental procedure employing a time window to identify pairs we study how the time window and the passage time of the photons which depends on the relative angle between their polarization and the polarizers direction influences the correlations demonstrating that the properties of the optical elements in the observation stations affect the correlations although the stations are separated spatially and temporarily we show that the model can reproduce results which are considered to be intrinsically quantum mechanical | [['inspired', 'by', 'einsteinpodolskyrosenbohm', 'experiments', 'with', 'photons', 'we', 'construct', 'an', 'eventbased', 'simulation', 'model', 'in', 'which', 'every', 'essential', 'element', 'in', 'the', 'ideal', 'experiment', 'has', 'a', 'counterpart', 'the', 'model', 'satisfies', 'einsteins', 'criteria', 'of', 'local', 'causality', 'and', 'does', 'not', 'rely', 'on', 'concepts', 'of', 'quantum', 'and', 'probability', 'theory', 'we', 'consider', 'experiments', 'in', 'which', 'the', 'averages', 'correspond', 'to', 'those', 'of', 'a', 'singlet', 'and', 'product', 'state', 'of', 'a', 'system', 'of', 'two', 's12', 'particles', 'the', 'data', 'is', 'analyzed', 'according', 'to', 'the', 'experimental', 'procedure', 'employing', 'a', 'time', 'window', 'to', 'identify', 'pairs', 'we', 'study', 'how', 'the', 'time', 'window', 'and', 'the', 'passage', 'time', 'of', 'the', 'photons', 'which', 'depends', 'on', 'the', 'relative', 'angle', 'between', 'their', 'polarization', 'and', 'the', 'polarizers', 'direction', 'influences', 'the', 'correlations', 'demonstrating', 'that', 'the', 'properties', 'of', 'the', 'optical', 'elements', 'in', 'the', 'observation', 'stations', 'affect', 'the', 'correlations', 'although', 'the', 'stations', 'are', 'separated', 'spatially', 'and', 'temporarily', 'we', 'show', 'that', 'the', 'model', 'can', 'reproduce', 'results', 'which', 'are', 'considered', 'to', 'be', 'intrinsically', 'quantum', 'mechanical']] | [-0.12757188571617006, 0.144694882191349, -0.12247856685270865, 0.03762261754910772, -0.015151241601755221, -0.1253953904596468, 0.0451648040728954, 0.3872484369808808, -0.25527200795399646, -0.29402717219044766, 0.08066873395815492, -0.30134485410526396, -0.11225963204153232, 0.1848032160840618, -0.012818749093761047, 0.02824111738242209, 0.06577978459186852, 0.049254907448776065, -0.04986701170215383, -0.19951003000605852, 0.31083279581662887, 0.06841071555856615, 0.3035507506380479, 0.032922289973745744, 0.12049129637967174, 0.01927100950386375, -0.03855466975830495, 0.026153968586149857, -0.10334086068721565, 0.08281534041898946, 0.20384324415276447, 0.1094733627132761, 0.21279502337177594, -0.45891328224504835, -0.19333177958847955, 0.12598772283643483, 0.09731423243880272, 0.10013512783994277, -0.011395143277477473, -0.30789375320076945, 0.04481898920455327, -0.12741195483909298, -0.12047790902045866, -0.04933632489914695, -0.020275641740299763, 0.042810191361544035, -0.2706431084386228, 0.06289241844788193, 0.049871028949904334, 0.01149437199967603, -0.05749691155428688, -0.031280659451925506, -0.0008698741532862187, 0.13752728916083773, 0.023853769834774236, -0.013292383422764639, 0.1338639943949723, -0.10345155466192713, -0.16617966411014398, 0.3892283917653064, -0.057433070050707705, -0.19762047399611524, 0.18181313077608743, -0.1576456793312294, -0.08663152213518818, 0.0814249580198278, 0.14293550845235586, 0.1114693343701462, -0.1296269505067418, 0.05325915463346367, -0.05627610171524187, 0.19248310261716445, 0.01818350263250371, 0.082475509615615, 0.21641642635067304, 0.13624848902380715, 0.020590055752545595, 0.11148974069782222, -0.10439210443912694, -0.1277430051503082, -0.3090894800797105, -0.17115289648567947, -0.19245970724907238, 0.015783297669549938, -0.05023718511782742, -0.12187382459019622, 0.4115259804483503, 0.17690143296805522, 0.2042216830161245, 0.013209014426295957, 0.261947720926255, 0.10349702762129406, 0.0627289142744606, 0.05904102261488636, 0.28276057140901684, 0.12316388740669935, 0.08127850329503417, -0.23527027516781043, 0.06706046849333992, 0.0369050650872911] |
712.2566 | Algebraic generality vs arithmetic generality in the controversy between
C. Jordan and L. Kronecker (1874) | Throughout the whole year of 1874, C. Jordan and L. Kronecker were
quarrelling over two theorems. On the one hand, Jordan had stated in 1870 a
canonical form theorem for substitutions of linear groups; on the other hand,
Karl Weierstrass had introduced in 1868 the elementary divisors of non singular
pairs of bilinear forms (P,Q) in stating a key theorem of the theory of
bilinear and quadratic forms. Although they would be considered equivalent as
regard to modern mathematics, not only had these two theorems been stated
independently and for different purposes, they had also been lying within the
distinct frameworks of two theories until some connections came to light in
1872-1873, breeding the 1874 quarrel and hence revealing an opposition over two
practices relating to distinctive cultural features. As we will be looking into
the 1874 quarrel, our purpose will be to show how the complex identities of
practices such as Jordan s canonical reduction and Kronecker s invariant
computation highlight some cultural issues such as tacit knowledge and
perceptions of history peculiar to individuals or communities as well as some
local ways of thinking such as disciplinary ideals and internal philosophies of
generality and simplicity.
| math.HO | throughout the whole year of 1874 c jordan and l kronecker were quarrelling over two theorems on the one hand jordan had stated in 1870 a canonical form theorem for substitutions of linear groups on the other hand karl weierstrass had introduced in 1868 the elementary divisors of non singular pairs of bilinear forms pq in stating a key theorem of the theory of bilinear and quadratic forms although they would be considered equivalent as regard to modern mathematics not only had these two theorems been stated independently and for different purposes they had also been lying within the distinct frameworks of two theories until some connections came to light in 18721873 breeding the 1874 quarrel and hence revealing an opposition over two practices relating to distinctive cultural features as we will be looking into the 1874 quarrel our purpose will be to show how the complex identities of practices such as jordan s canonical reduction and kronecker s invariant computation highlight some cultural issues such as tacit knowledge and perceptions of history peculiar to individuals or communities as well as some local ways of thinking such as disciplinary ideals and internal philosophies of generality and simplicity | [['throughout', 'the', 'whole', 'year', 'of', '1874', 'c', 'jordan', 'and', 'l', 'kronecker', 'were', 'quarrelling', 'over', 'two', 'theorems', 'on', 'the', 'one', 'hand', 'jordan', 'had', 'stated', 'in', '1870', 'a', 'canonical', 'form', 'theorem', 'for', 'substitutions', 'of', 'linear', 'groups', 'on', 'the', 'other', 'hand', 'karl', 'weierstrass', 'had', 'introduced', 'in', '1868', 'the', 'elementary', 'divisors', 'of', 'non', 'singular', 'pairs', 'of', 'bilinear', 'forms', 'pq', 'in', 'stating', 'a', 'key', 'theorem', 'of', 'the', 'theory', 'of', 'bilinear', 'and', 'quadratic', 'forms', 'although', 'they', 'would', 'be', 'considered', 'equivalent', 'as', 'regard', 'to', 'modern', 'mathematics', 'not', 'only', 'had', 'these', 'two', 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712.2567 | On Lower Bound for W(K_{2n}) | The lower bound W(K_{2n})>=3n-2 is proved for the greatest possible number of
colors in an interval edge coloring of the complete graph K_{2n}.
| cs.DM | the lower bound wk_2n3n2 is proved for the greatest possible number of colors in an interval edge coloring of the complete graph k_2n | [['the', 'lower', 'bound', 'wk_2n3n2', 'is', 'proved', 'for', 'the', 'greatest', 'possible', 'number', 'of', 'colors', 'in', 'an', 'interval', 'edge', 'coloring', 'of', 'the', 'complete', 'graph', 'k_2n']] | [-0.22243321877480907, 0.11904435061428971, -0.06470204999839718, 0.046592509739143265, -0.10394290919330987, -0.1032669779590585, 0.11210612029853192, 0.3749472690238194, -0.21224130554632706, -0.38384728775021026, 0.05276402068557218, -0.3130042444575917, -0.07965448096563871, 0.12479722296649759, -0.1748394131850959, 0.06275353385982188, 0.08739324201914397, 0.16575016055933453, 0.11307332207268866, -0.30671987486394675, 0.24524769102307883, -0.047875127331777054, 0.200325590304353, 0.15765451606024394, 0.00010960058055140756, 0.029302051777697423, -0.03568648049787788, 0.047499582298438654, -0.22174374098804864, 0.05731568295000629, 0.23436475900763815, 0.18924581665884366, 0.2500263676047325, -0.3807457936927676, -0.12008452296934345, 0.23153190107338809, 0.1296477552334016, 0.04657823406159878, 0.010525665753944353, -0.17118318531323562, 0.16238045125183734, -0.07878146139079366, -0.12745113340629774, 0.1035218917849389, 0.21013961715454404, -0.07815048301761801, -0.2721948264674707, -0.06962036426094445, 0.11172107370062308, 0.06191747440871867, 0.059762756594202736, -0.23496370965784247, -0.10006541343913837, 0.11924120697023516, -0.09754176629410888, 0.09867823684842071, -0.07455878154459325, -0.20650665538216179, -0.18428703397512436, 0.331821926869452, -0.012334533078088001, -0.07425087351690639, 0.12097971920262683, -0.11835863648659804, -0.16128111732277003, 0.17346758632497353, 0.07498771155422385, 0.15961276485838674, -0.07692173108543185, 0.10643496872349219, -0.1768487383696166, 0.11300841888243501, 0.14537725284356962, 0.11322271169840613, 0.13959055190736597, 0.15101262080398473, 0.29299459796906874, 0.18999692577530036, 0.004659932233731855, 0.01971110773262229, -0.3223017660731619, -0.13785436503134074, -0.3479265502061356, -0.02006452035328204, -0.23022292971357025, -0.21399735926057806, 0.4043803418224508, 0.06524022372270172, 0.16415501487526027, 0.10044523438608105, 0.24257313155315138, 0.1543824186717922, -0.024376268667930908, 0.19552340589209713, 0.15967492653395643, 0.18519628776068037, -0.1309176033193415, -0.1754377792716365, 0.06724605132529343, 0.16105558414181526] |
712.2568 | Superfluidity in Super-Yang-Mills Theory | The AdS/CFT correspondence suggests that there is a point in the phase
diagram of strongly interacting gauge-theory matter where the viscosity
approaches zero. This paper analyses the possibility that this point represents
a superfluid and that the the system near this point in the phase diagram can
be described by a Landau fluid. Superfluid vortices are constructed and the AdS
analogue of vorticity quantisation is described. The production of vortices in
the quark-gluon plasma during heavy ion collisions is discussed.
| hep-th | the adscft correspondence suggests that there is a point in the phase diagram of strongly interacting gaugetheory matter where the viscosity approaches zero this paper analyses the possibility that this point represents a superfluid and that the the system near this point in the phase diagram can be described by a landau fluid superfluid vortices are constructed and the ads analogue of vorticity quantisation is described the production of vortices in the quarkgluon plasma during heavy ion collisions is discussed | [['the', 'adscft', 'correspondence', 'suggests', 'that', 'there', 'is', 'a', 'point', 'in', 'the', 'phase', 'diagram', 'of', 'strongly', 'interacting', 'gaugetheory', 'matter', 'where', 'the', 'viscosity', 'approaches', 'zero', 'this', 'paper', 'analyses', 'the', 'possibility', 'that', 'this', 'point', 'represents', 'a', 'superfluid', 'and', 'that', 'the', 'the', 'system', 'near', 'this', 'point', 'in', 'the', 'phase', 'diagram', 'can', 'be', 'described', 'by', 'a', 'landau', 'fluid', 'superfluid', 'vortices', 'are', 'constructed', 'and', 'the', 'ads', 'analogue', 'of', 'vorticity', 'quantisation', 'is', 'described', 'the', 'production', 'of', 'vortices', 'in', 'the', 'quarkgluon', 'plasma', 'during', 'heavy', 'ion', 'collisions', 'is', 'discussed']] | [-0.1863813208648935, 0.265060236203135, -0.16589923958526925, 0.06461684833629988, -0.0024301424564328045, -0.10468408093438483, 0.028540923156833743, 0.26267569760348125, -0.23717798761790618, -0.18959829261293634, 0.034948746291047425, -0.30528594634961337, -0.10904902859474533, 0.103344262461178, -0.010403469169978053, 0.006484822416678071, 0.03193802469177172, 0.031162684148875998, -0.07095644679338875, -0.18548773815855385, 0.35567684775451197, 0.021754256024723872, 0.2908133567078039, 0.07587893840391188, 0.046436249825637786, -0.03327759408566635, 0.011066580739134224, 0.04968584477901459, -0.1546161538911292, 0.012017994790585362, 0.2795312544796616, 0.011234547730418853, 0.15644934875890612, -0.39973692286293955, -0.23990220128325745, 0.08966456619091331, 0.20351592491497286, 0.13159157127083745, -0.07789268877822905, -0.2546413129079156, 0.03028095200425014, -0.19068142790347337, -0.18915375035794568, -0.03568237780127674, -0.0034552952623926104, -0.018715982639696448, -0.22555637832265346, 0.10123223509872332, 0.05735842488938943, 0.04130310795735568, -0.04662125620816369, -0.05426238952641142, -0.06214423086785246, 0.02784330873982981, 0.06960384144622367, 0.12527647207025439, 0.15725032901391386, -0.22715059762558668, -0.0795365116558969, 0.3959513606852852, -0.054189360732561906, -0.1645078777335584, 0.19434232182684355, -0.16925017539761028, -0.10743680745945312, 0.15081903418758885, 0.09707798193558119, 0.09802660358836875, -0.14792074878059794, 0.0932348518008439, -0.06992941627977416, 0.11370069213649003, 0.07025569397374057, -0.0019067244429606944, 0.3294797746697441, 0.21274141341564246, -0.019873803222435527, 0.1663735917494705, -0.06848664330900647, -0.1410611609055195, -0.37747492608614264, -0.17341557941399516, -0.19439995815046132, -0.011770328006241471, -0.06572599295723194, -0.16664429842494427, 0.36157827590359376, 0.14720933775533923, 0.1783941548259463, -0.0893465689761797, 0.2719067158177495, 0.1552087786840275, -0.00871144474367611, 0.08972595381783321, 0.3064944664249197, 0.13958762096299324, 0.1731715389963938, -0.27987229797945473, -0.027175777030061, 0.15689396836969535] |
712.2569 | A Possible Spin-Orbit Misalignment in the Transiting Eccentric Planet HD
17156b | We present simultaneous photometric and spectroscopic observations of HD
17156b spanning a transit on UT 2007 November 12. This system is of special
interest because of its 21-day period (unusually long for a transiting planet)
and its high orbital eccentricity of 0.67. By modeling the Rossiter-McLaughlin
effect, we find the angle between the sky projections of the orbital axis and
the stellar rotation axis to be $62^{\circ} \pm 25^{\circ}$. Such a large
spin-orbit misalignment, as well as the large eccentricity, could be explained
as the relic of a previous gravitational interaction with other planets.
| astro-ph | we present simultaneous photometric and spectroscopic observations of hd 17156b spanning a transit on ut 2007 november 12 this system is of special interest because of its 21day period unusually long for a transiting planet and its high orbital eccentricity of 067 by modeling the rossitermclaughlin effect we find the angle between the sky projections of the orbital axis and the stellar rotation axis to be 62circ pm 25circ such a large spinorbit misalignment as well as the large eccentricity could be explained as the relic of a previous gravitational interaction with other planets | [['we', 'present', 'simultaneous', 'photometric', 'and', 'spectroscopic', 'observations', 'of', 'hd', '17156b', 'spanning', 'a', 'transit', 'on', 'ut', '2007', 'november', '12', 'this', 'system', 'is', 'of', 'special', 'interest', 'because', 'of', 'its', '21day', 'period', 'unusually', 'long', 'for', 'a', 'transiting', 'planet', 'and', 'its', 'high', 'orbital', 'eccentricity', 'of', '067', 'by', 'modeling', 'the', 'rossitermclaughlin', 'effect', 'we', 'find', 'the', 'angle', 'between', 'the', 'sky', 'projections', 'of', 'the', 'orbital', 'axis', 'and', 'the', 'stellar', 'rotation', 'axis', 'to', 'be', '62circ', 'pm', '25circ', 'such', 'a', 'large', 'spinorbit', 'misalignment', 'as', 'well', 'as', 'the', 'large', 'eccentricity', 'could', 'be', 'explained', 'as', 'the', 'relic', 'of', 'a', 'previous', 'gravitational', 'interaction', 'with', 'other', 'planets']] | [-0.2123348681513775, 0.1371007021120254, -0.056146609485446614, 0.025421717676316746, -0.13286210708518295, -0.06678727984012282, 0.046124379876307506, 0.3785239887681413, -0.21353784537418408, -0.38257925339201665, 0.13481619770569292, -0.26593158156561486, -0.0700445857216069, 0.21071997364150716, -0.08246084000974735, 0.036089779371940627, 0.15783828526532198, -0.07709617949675451, -0.05531281761532808, -0.22298568495248317, 0.1874872571986882, 0.06811549997036444, 0.036362253951820286, 0.007450538469438857, 0.07771930696772154, 0.02938329760094193, -0.0010778847601923577, -0.05326592559589351, -0.16054757469472417, 0.008541634108157867, 0.19307476818187538, 0.08226517381820272, 0.17558326092647744, -0.28883080662010197, -0.15520642700783432, 0.0320146234775398, 0.14001591356986381, 0.05666605635308363, -0.0004249178504749657, -0.31065059586011984, 0.019839584624315513, -0.2531906418883777, -0.17425035500522465, 0.0233217750210315, 0.15367768958527991, 0.02392796452523784, -0.2770061769146234, 0.12291478312034358, 0.03036988279478813, 0.18873290243023572, -0.10216821937950606, -0.15386695629159147, -0.11126801964797159, 0.08368343244643604, 0.09873531733768338, 0.11098463757538256, 0.08712429636742602, -0.027266537371844528, -0.05008050228315505, 0.4187927185260552, -0.11074619051168098, -0.043576711917573466, 0.1686809306686863, -0.2373408783138036, -0.13671569422164814, 0.12815438713903163, 0.19885709707453683, 0.12879650645884388, -0.10113062576806926, 0.01647168755880557, -0.026564971343837084, 0.20868774196331172, 0.07317720377381812, 0.06129463807620267, 0.41977993767470756, 0.11437110341076016, 0.07121330309173766, 0.03703058525446822, -0.30250938312754905, -0.004965641704249255, -0.1622555677362896, -0.10355934802878727, -0.187912258943741, 0.07493010341645555, -0.13877807849813178, -0.12073161422294822, 0.3820015006163653, 0.12987125628414822, 0.2538390840785182, 0.007834680061391059, 0.3115615950961736, 0.07746310272263958, 0.0712889160812607, 0.05077957252456628, 0.3708875001348714, 0.15987291662864625, 0.12177245727581705, -0.2784597356209254, 0.09739213501737315, -0.041418407404636766] |
712.257 | Constraining Slow-Roll Inflation in the Presence of Dynamical Dark
Energy | In this paper we perform a global analysis of the constraints on the
inflationary parameters in the presence of dynamical dark energy models from
the current observations, including the three-year Wilkinson Microwave
Anisotropy Probe (WMAP3) data, Boomerang-2K2, CBI, VSA, ACBAR, SDSS LRG, 2dFGRS
and ESSENCE (192 sample). We use the analytic description of the inflationary
power spectra in terms of the Horizon-flow parameters $\{\epsilon_i\}$. With
the first order approximation in the slow-roll expansion, we find that the
constraints on the Horizon-flow parameters are $\epsilon_1<0.014 (95% C.L.)$
and $\epsilon_2=0.034\pm0.024 (1\sigma)$ in the $\Lambda$CDM model. In the
framework of dynamical dark energy models, the constraints become obviously
weak, $\epsilon_1<0.022 (95% C.L.)$ and $\epsilon_2=-0.006\pm0.039 (1\sigma)$,
and the inflation models with a "blue" tilt, which are excluded about $2\sigma$
in the $\Lambda$CDM model, are allowed now. With the second order
approximation, the constraints on the Horizon-flow parameters are significantly
relaxed further. If considering the non-zero $\epsilon_3$, the large running of
the scalar spectral index is found for the $\Lambda$CDM model, as well as the
dynamical dark energy models.
| astro-ph | in this paper we perform a global analysis of the constraints on the inflationary parameters in the presence of dynamical dark energy models from the current observations including the threeyear wilkinson microwave anisotropy probe wmap3 data boomerang2k2 cbi vsa acbar sdss lrg 2dfgrs and essence 192 sample we use the analytic description of the inflationary power spectra in terms of the horizonflow parameters epsilon_i with the first order approximation in the slowroll expansion we find that the constraints on the horizonflow parameters are epsilon_10014 95 cl and epsilon_20034pm0024 1sigma in the lambdacdm model in the framework of dynamical dark energy models the constraints become obviously weak epsilon_10022 95 cl and epsilon_20006pm0039 1sigma and the inflation models with a blue tilt which are excluded about 2sigma in the lambdacdm model are allowed now with the second order approximation the constraints on the horizonflow parameters are significantly relaxed further if considering the nonzero epsilon_3 the large running of the scalar spectral index is found for the lambdacdm model as well as the dynamical dark energy models | [['in', 'this', 'paper', 'we', 'perform', 'a', 'global', 'analysis', 'of', 'the', 'constraints', 'on', 'the', 'inflationary', 'parameters', 'in', 'the', 'presence', 'of', 'dynamical', 'dark', 'energy', 'models', 'from', 'the', 'current', 'observations', 'including', 'the', 'threeyear', 'wilkinson', 'microwave', 'anisotropy', 'probe', 'wmap3', 'data', 'boomerang2k2', 'cbi', 'vsa', 'acbar', 'sdss', 'lrg', '2dfgrs', 'and', 'essence', '192', 'sample', 'we', 'use', 'the', 'analytic', 'description', 'of', 'the', 'inflationary', 'power', 'spectra', 'in', 'terms', 'of', 'the', 'horizonflow', 'parameters', 'epsilon_i', 'with', 'the', 'first', 'order', 'approximation', 'in', 'the', 'slowroll', 'expansion', 'we', 'find', 'that', 'the', 'constraints', 'on', 'the', 'horizonflow', 'parameters', 'are', 'epsilon_10014', '95', 'cl', 'and', 'epsilon_20034pm0024', '1sigma', 'in', 'the', 'lambdacdm', 'model', 'in', 'the', 'framework', 'of', 'dynamical', 'dark', 'energy', 'models', 'the', 'constraints', 'become', 'obviously', 'weak', 'epsilon_10022', '95', 'cl', 'and', 'epsilon_20006pm0039', '1sigma', 'and', 'the', 'inflation', 'models', 'with', 'a', 'blue', 'tilt', 'which', 'are', 'excluded', 'about', '2sigma', 'in', 'the', 'lambdacdm', 'model', 'are', 'allowed', 'now', 'with', 'the', 'second', 'order', 'approximation', 'the', 'constraints', 'on', 'the', 'horizonflow', 'parameters', 'are', 'significantly', 'relaxed', 'further', 'if', 'considering', 'the', 'nonzero', 'epsilon_3', 'the', 'large', 'running', 'of', 'the', 'scalar', 'spectral', 'index', 'is', 'found', 'for', 'the', 'lambdacdm', 'model', 'as', 'well', 'as', 'the', 'dynamical', 'dark', 'energy', 'models']] | [-0.11107816914724704, 0.09820580513067764, -0.06809584240114988, 0.1149096305801715, -0.0930443725923418, -0.09239310439408774, 0.020325139060908565, 0.2844112936528565, -0.1918920559282332, -0.36807675297046905, 0.07294225684758386, -0.29895673523596406, -0.037051141162860325, 0.1821431120314784, 0.0477327767390339, 0.02553191300503601, 0.03759735356396362, -0.0030774461358961972, -0.027915004075962233, -0.28023252934258785, 0.2638153392523968, 0.12158087689220112, 0.25250238253453955, -0.026529093206854613, 0.05302784633588531, -0.07937257295507474, -0.054536484763268715, -0.004325380927701233, -0.22063028850592156, 0.0710597998206366, 0.16746680202493347, 0.12193559537181553, 0.17807294317444003, -0.36003196979548263, -0.21486314301263298, 0.15512674654966233, 0.10596702035692845, 0.10754824022434585, 0.00893154830090459, -0.2948578926982612, 0.051518200461328385, -0.18094481063246198, -0.08683528916458406, -0.04032667228103389, -0.06523909403242656, 0.0038091088286959208, -0.2904922006804683, 0.18400659337750025, -0.012749372109923699, -0.005169681734928983, -0.12205251235206276, -0.12657002765222414, -0.09423461913120156, 0.014379659751650585, 0.05657507062782175, 0.011540409373174581, 0.10744445205021363, -0.15723241071048683, -0.046158113487246695, 0.4245075687281126, -0.15701558083480432, -0.12708157587372118, 0.1023098456827626, -0.179604402511827, -0.20397144335889694, 0.04906017473518584, 0.13166220445384288, 0.028063852116796215, -0.1535402458703928, 0.1957833230503719, 0.015034821344616674, 0.23704809754998726, 0.041831507032031756, 0.02102760453956455, 0.2681756118014896, 0.14311487118564767, 0.04437375044761523, 0.0545949201959257, -0.13452953770488071, -0.08119961688261942, -0.35149149322529605, -0.011543561572197979, -0.13292802766946382, 0.015225251142580349, -0.20328742623592302, -0.13955853365777754, 0.4280227292329073, 0.1701617889965956, 0.2383858417904765, 0.08978288679193573, 0.34756237057935907, 0.113669304082104, 0.029569797537471416, 0.04391998482989313, 0.3463262408398665, 0.10991608150876485, 0.09397981634650093, -0.1828740191173715, 0.015806045215136025, -0.01692258448222206] |
712.2571 | Ultracold atomic gas in non-Abelian "magnetic" fields: the quantum Hall
effect supremacy | Nowadays it is experimentally feasible to create artificial, and in
particular, non-Abelian gauge potentials for ultracold atoms trapped in optical
lattices. Motivated by this fact, we investigate the fundamental properties of
an ultracold Fermi gas in a non-Abelian U(2) gauge potential characterized by a
\emph{constant} Wilson loop. Under this specific condition, the energy spectrum
exhibits a robust band structure with large gaps and reveals a new fractal
figure. The transverse conductivity is related to topological invariants and is
shown to be quantized when the Fermi energy lies inside a gap of the spectrum.
We demonstrate that the analogue of the integer quantum Hall effect for neutral
atoms survives the non-Abelian coupling and leads to a striking fractal phase
diagram. Moreover, this coupling induces an anomalous Hall effect as observed
in graphene.
| cond-mat.mes-hall | nowadays it is experimentally feasible to create artificial and in particular nonabelian gauge potentials for ultracold atoms trapped in optical lattices motivated by this fact we investigate the fundamental properties of an ultracold fermi gas in a nonabelian u2 gauge potential characterized by a emphconstant wilson loop under this specific condition the energy spectrum exhibits a robust band structure with large gaps and reveals a new fractal figure the transverse conductivity is related to topological invariants and is shown to be quantized when the fermi energy lies inside a gap of the spectrum we demonstrate that the analogue of the integer quantum hall effect for neutral atoms survives the nonabelian coupling and leads to a striking fractal phase diagram moreover this coupling induces an anomalous hall effect as observed in graphene | [['nowadays', 'it', 'is', 'experimentally', 'feasible', 'to', 'create', 'artificial', 'and', 'in', 'particular', 'nonabelian', 'gauge', 'potentials', 'for', 'ultracold', 'atoms', 'trapped', 'in', 'optical', 'lattices', 'motivated', 'by', 'this', 'fact', 'we', 'investigate', 'the', 'fundamental', 'properties', 'of', 'an', 'ultracold', 'fermi', 'gas', 'in', 'a', 'nonabelian', 'u2', 'gauge', 'potential', 'characterized', 'by', 'a', 'emphconstant', 'wilson', 'loop', 'under', 'this', 'specific', 'condition', 'the', 'energy', 'spectrum', 'exhibits', 'a', 'robust', 'band', 'structure', 'with', 'large', 'gaps', 'and', 'reveals', 'a', 'new', 'fractal', 'figure', 'the', 'transverse', 'conductivity', 'is', 'related', 'to', 'topological', 'invariants', 'and', 'is', 'shown', 'to', 'be', 'quantized', 'when', 'the', 'fermi', 'energy', 'lies', 'inside', 'a', 'gap', 'of', 'the', 'spectrum', 'we', 'demonstrate', 'that', 'the', 'analogue', 'of', 'the', 'integer', 'quantum', 'hall', 'effect', 'for', 'neutral', 'atoms', 'survives', 'the', 'nonabelian', 'coupling', 'and', 'leads', 'to', 'a', 'striking', 'fractal', 'phase', 'diagram', 'moreover', 'this', 'coupling', 'induces', 'an', 'anomalous', 'hall', 'effect', 'as', 'observed', 'in', 'graphene']] | [-0.19664272136287764, 0.24925145561178572, -0.067940131896211, 0.057749416081959964, -0.04741179559180755, -0.16256139212721632, 0.049652051608049745, 0.36306312921961753, -0.2715146715418642, -0.2604736797369391, -0.002098651633078929, -0.25828570974919635, -0.17372753909070984, 0.17795666319296788, -0.0347063549774706, 0.04316695910373717, -0.007992371205837671, 0.006927522487639812, -0.0706634272284493, -0.21728536368966217, 0.3212496798542392, 0.03975427150281985, 0.31769507796368524, 0.13380694026900597, 0.07218560262384136, -0.028007104530759896, 0.0681151695645464, 0.04166404084206509, -0.1275187058800068, 0.09091909574469167, 0.21093395973008325, -0.10293234902512254, 0.17317872801049122, -0.3899336868527395, -0.2013062522888809, 0.08844996634373115, 0.13588477932769832, 0.14084637258024105, -0.07595971557276167, -0.3022593391645088, 0.01890126509122721, -0.1584594924685382, -0.18009151175141846, -0.1129971669261692, 0.05162157625926815, -0.07848982732407109, -0.23756111293314877, 0.086997534841555, 0.034338498752891224, 0.08614471233436546, -0.05324225764337728, -0.05547842709703072, -0.02577186487117455, 0.046085949638149284, 0.011276727465855825, 0.02635781054975081, 0.1161628557099847, -0.18499689240129452, -0.12935964709844525, 0.4246253011222104, -0.09053205396048725, -0.14942080319240575, 0.1657225010305188, -0.17188396148085025, -0.1069863515244868, 0.13987329084609895, 0.10934941011360129, 0.04007884535497723, -0.09479747148053383, 0.14938135853726844, -0.08013875468257274, 0.14844481571833426, 0.05035966025658293, 0.08190868256386113, 0.2795466905218044, 0.14962897519403287, 0.07537297108957103, 0.2098298090508293, -0.09946701406120884, -0.07739412077553286, -0.2607566399769929, -0.19984175914983826, -0.2353158664448855, 0.0954640557978814, -0.035978939929418974, -0.1921485896435129, 0.4085949107663322, 0.12458930051192829, 0.20776634435133853, -0.06367270612399599, 0.23777135947847183, 0.1521777791523851, 0.09139786159107817, 0.04726544478446074, 0.2411152177511622, 0.16244149858217316, 0.07277626643767794, -0.29659858329989414, -0.044793377609084584, 0.06565630694367845] |
712.2572 | Influence of Rotation on the Amount of Phantom Matter around wormholes | Static (spherically symmetrical) and stationary solutions for wormholes are
considered. The visibility horizon, which characterizes the differences between
black holes and passing wormholes, is determined in an invariant way. It is
shown that the rotation of wormholes does not affect the amount of phantom
matter that surrounds them.
| astro-ph | static spherically symmetrical and stationary solutions for wormholes are considered the visibility horizon which characterizes the differences between black holes and passing wormholes is determined in an invariant way it is shown that the rotation of wormholes does not affect the amount of phantom matter that surrounds them | [['static', 'spherically', 'symmetrical', 'and', 'stationary', 'solutions', 'for', 'wormholes', 'are', 'considered', 'the', 'visibility', 'horizon', 'which', 'characterizes', 'the', 'differences', 'between', 'black', 'holes', 'and', 'passing', 'wormholes', 'is', 'determined', 'in', 'an', 'invariant', 'way', 'it', 'is', 'shown', 'that', 'the', 'rotation', 'of', 'wormholes', 'does', 'not', 'affect', 'the', 'amount', 'of', 'phantom', 'matter', 'that', 'surrounds', 'them']] | [-0.1992295033778646, 0.0971060950860192, -0.12535513135177703, 0.14973089396274494, -0.09016710114277278, -0.14567032208045325, -0.05710294322731594, 0.3628988345541681, -0.1780935728068774, -0.30690114145788056, 0.05345868050305095, -0.30141700400660437, -0.0911057085710733, 0.13797477395079719, -0.0967314966255799, 0.024723692855332047, -0.025832808983977884, 0.04965220235559779, -0.0852014764774746, -0.19900759528779113, 0.4027826321932177, 0.06015225890344785, 0.31325713545084, 0.014214583818102255, 0.09257023854055053, -0.04613668111657413, -0.009750762369852358, 0.1064965592425627, -0.16071062405202005, -0.019128106359858066, 0.17554533345780024, 0.2021016366488766, 0.147802560289468, -0.3944660777536531, -0.2226059246265019, 0.16594694543164223, 0.20469369826605543, 0.13625329614296788, -0.1074053654835249, -0.31140006127922487, 0.10678155016891348, -0.20926564827338248, -0.1826428658872222, -0.032072787813376635, 0.11662316396056364, -0.00595636426199538, -0.17709248638129793, 0.11182967132481281, 0.08209739703064163, -0.09288390912115574, -0.13477517632418312, 0.024795996616982546, -0.06170114467386156, 0.1184416643033425, 0.1269683100496574, -0.03932239854475483, 0.19762403662510528, -0.1297788511486336, -0.05469941797976693, 0.3640148506965488, -0.007441022899001837, -0.27065032624705054, 0.1484672475295762, -0.2147966211584086, -0.029999461511579284, 0.13963994978985284, 0.07724717423358622, 0.20183052524225786, -0.1406473163891254, 0.12121638637957706, -0.037754540874933205, 0.2016259867620344, 0.17270403433940373, 0.0009709345176815987, 0.4009935002153118, 0.0358324529370293, 0.05494802248237344, 0.1411690927343443, -0.02875959269355614, -0.16577727158437483, -0.35201609146315604, -0.14946599851828068, -0.15387666824972257, 0.03432205637151734, -0.11850874831179681, -0.23380238388381258, 0.28145229125705856, 0.059314887485622116, 0.11914904417547707, -0.018536572982460104, 0.24107264291198285, 0.031355779831452914, 0.04399383450315023, 0.18232051995194828, 0.3767263259117802, 0.1073593400651589, 0.11895938163312773, -0.21948908331008474, 0.04051391206060847, -0.01708606715934972] |
712.2573 | Speckle Interferometry of Nearby Multiple Stars. IV. Measurements in
2004 and New Orbits | The results of speckle interferometric observations of 104 binary and 6
triple stars performed at the BTA 6 m telescope in 2004 October are presented.
Nearby low-mass stars are mostly observed for the program, among which 59 there
are new binaries recently discovered by the Hipparcos astrometric satellite.
Concurrently with the diffraction-limited position measurements we obtained 154
brightness ratio measurements of binary and multiple star components in
different bands of the visible spectrum. New, first-resolved binaries are the
symbiotic star CH Cyg with a weak companion at 0.043'' separation and the pair
of red dwarfs, GJ 913 = HIP 118212. In addition, we derived the orbital
parameters for two interferometric systems: the CN-giant pair HD 210211 = HIP
109281 (P=10.7 yr) and the G2V-K2V binary GJ 9830 = HIP 116259 (P=15.7 yr).
| astro-ph | the results of speckle interferometric observations of 104 binary and 6 triple stars performed at the bta 6 m telescope in 2004 october are presented nearby lowmass stars are mostly observed for the program among which 59 there are new binaries recently discovered by the hipparcos astrometric satellite concurrently with the diffractionlimited position measurements we obtained 154 brightness ratio measurements of binary and multiple star components in different bands of the visible spectrum new firstresolved binaries are the symbiotic star ch cyg with a weak companion at 0043 separation and the pair of red dwarfs gj 913 hip 118212 in addition we derived the orbital parameters for two interferometric systems the cngiant pair hd 210211 hip 109281 p107 yr and the g2vk2v binary gj 9830 hip 116259 p157 yr | [['the', 'results', 'of', 'speckle', 'interferometric', 'observations', 'of', '104', 'binary', 'and', '6', 'triple', 'stars', 'performed', 'at', 'the', 'bta', '6', 'm', 'telescope', 'in', '2004', 'october', 'are', 'presented', 'nearby', 'lowmass', 'stars', 'are', 'mostly', 'observed', 'for', 'the', 'program', 'among', 'which', '59', 'there', 'are', 'new', 'binaries', 'recently', 'discovered', 'by', 'the', 'hipparcos', 'astrometric', 'satellite', 'concurrently', 'with', 'the', 'diffractionlimited', 'position', 'measurements', 'we', 'obtained', '154', 'brightness', 'ratio', 'measurements', 'of', 'binary', 'and', 'multiple', 'star', 'components', 'in', 'different', 'bands', 'of', 'the', 'visible', 'spectrum', 'new', 'firstresolved', 'binaries', 'are', 'the', 'symbiotic', 'star', 'ch', 'cyg', 'with', 'a', 'weak', 'companion', 'at', '0043', 'separation', 'and', 'the', 'pair', 'of', 'red', 'dwarfs', 'gj', '913', 'hip', '118212', 'in', 'addition', 'we', 'derived', 'the', 'orbital', 'parameters', 'for', 'two', 'interferometric', 'systems', 'the', 'cngiant', 'pair', 'hd', '210211', 'hip', '109281', 'p107', 'yr', 'and', 'the', 'g2vk2v', 'binary', 'gj', '9830', 'hip', '116259', 'p157', 'yr']] | [-0.15107960667422352, 0.14344593360923075, -0.02883750693096469, 0.017939302263160546, -0.09808516723957533, -0.11991325969380948, 0.09215418893533449, 0.3869992087284724, -0.11259468305700769, -0.39566907205153257, 0.051659829696291126, -0.34334164634346964, -0.050337283969080694, 0.23001400421878013, -0.08788717999802126, 0.03948633047984913, 0.23802836082759313, -0.06496696744191771, -0.05363020710259055, -0.2806980529838862, 0.24703101001796313, 0.038566594826988876, 0.04266758868470788, -0.12771792140168448, 0.06296185474687567, -0.04164577078772709, -0.08513149621042733, -0.11234426113466421, -0.16242515821553147, -0.02147270373922462, 0.2603257094354679, 0.1233915274691147, 0.12373900296709811, -0.25778307287643354, -0.1447652854025364, 0.0045399322174489495, 0.12070310291989396, -0.0592387255213301, -0.021534726277847464, -0.3186866146502628, 0.1150467253367727, -0.19928230081374446, -0.14081587800368045, 0.08584959334984887, 0.10520529448986053, 0.03033059446218734, -0.2352051052885751, 0.10105530122139801, 0.029154613645126424, 0.16989452879255015, -0.185632821880669, -0.18968209861583699, -0.0678409730908849, 0.07632958857575431, -0.040535435753796874, 0.10123543394341444, 0.0700796840673623, -0.033423588391936696, -0.03395484987801562, 0.3817615800226728, -0.10758540968721111, 0.034765601478284225, 0.2622620745038148, -0.2222571419357943, -0.2342805218611223, 0.12306982673471793, 0.12079240219512334, 0.19033000085813304, -0.21779061421596754, -0.05810543396704209, 0.0035832033686650296, 0.2131470814618903, 0.11678856251722512, 0.11326350069527204, 0.37782673598267136, 0.09171458084601909, -0.02763500177394841, 0.046541361012108005, -0.38215079801157115, -0.018127366542466918, -0.1632200550836084, -0.0831166502107711, -0.11615226400996713, 0.032031616143649445, -0.14204347498744027, -0.05258884696910779, 0.30833964227543526, 0.0383106753899483, 0.18652049213803062, -0.020626878551168678, 0.2976748696217934, 0.06999470336789576, 0.08982911658046457, 0.10707785264433672, 0.40071548238629473, 0.2191000613151118, 0.1478143151985326, -0.237741263404799, 0.017491523669256517, -0.0036218025411168735] |
712.2574 | Event-by-event simulation of quantum phenomena | In this talk, I discuss recent progress in the development of simulation
algorithms that do not rely on any concept of quantum theory but are
nevertheless capable of reproducing the averages computed from quantum theory
through an event-by-event simulation. The simulation approach is illustrated by
applications to single-photon Mach-Zehnder interferometer experiments and
Einstein-Podolsky-Rosen-Bohm experiments with photons.
| quant-ph | in this talk i discuss recent progress in the development of simulation algorithms that do not rely on any concept of quantum theory but are nevertheless capable of reproducing the averages computed from quantum theory through an eventbyevent simulation the simulation approach is illustrated by applications to singlephoton machzehnder interferometer experiments and einsteinpodolskyrosenbohm experiments with photons | [['in', 'this', 'talk', 'i', 'discuss', 'recent', 'progress', 'in', 'the', 'development', 'of', 'simulation', 'algorithms', 'that', 'do', 'not', 'rely', 'on', 'any', 'concept', 'of', 'quantum', 'theory', 'but', 'are', 'nevertheless', 'capable', 'of', 'reproducing', 'the', 'averages', 'computed', 'from', 'quantum', 'theory', 'through', 'an', 'eventbyevent', 'simulation', 'the', 'simulation', 'approach', 'is', 'illustrated', 'by', 'applications', 'to', 'singlephoton', 'machzehnder', 'interferometer', 'experiments', 'and', 'einsteinpodolskyrosenbohm', 'experiments', 'with', 'photons']] | [-0.07084743814526259, 0.15459257897522807, -0.13953121964420592, 0.01708948368572497, 0.0066835165156849796, -0.13719526209336305, -0.03953803109054986, 0.42003832843952943, -0.15595566443101103, -0.2961870177449392, 0.05677402429864742, -0.27962931032691685, -0.19682796369306743, 0.3110349071399209, -0.050786363725949614, 0.10573601155816245, 0.1649979302559846, -0.03790922645878579, -0.06022304420808463, -0.2481245290754097, 0.2888754502637312, 0.1321129574166012, 0.3267332788922691, 0.06470644467377237, 0.13512755111774563, 0.023837322011656528, -0.09311022335064731, 0.00012671817967202514, -0.11082907775731396, 0.12306461127341858, 0.28555833438544403, 0.1726486684471768, 0.26602137747353743, -0.5283125061874411, -0.23611500195693225, 0.06349302954705698, 0.12649780570895278, 0.14225266747442739, -0.09485132053669076, -0.34148358545332613, 0.032351972127798945, -0.1720848646613636, -0.09480592843777101, -0.11846592417194708, -0.06232802309594782, 0.0218132795000981, -0.18785017111804336, 0.030282437801361084, -0.005493321913361017, 0.07526199333369732, 0.06303093382406846, -0.07195782233195912, 0.10457594988734595, 0.052712421057679294, -0.0426488272122307, 0.004639808936709804, 0.15619423115016876, -0.1432153657868704, -0.2688879696984908, 0.34523544394012007, -0.03141586183171187, -0.1845602827753672, 0.144696040918851, -0.13813739922729187, -0.12233760187103014, 0.08010479980813605, 0.14098304942516343, 0.12177428890468686, -0.09949603342517678, 0.09837273982183044, -0.03801556279151035, 0.17609313189417922, 0.0006220853288791009, 0.06187262834698361, 0.19496283427413022, 0.1559096955627735, -0.020582128869136795, 0.06368429092357733, -0.034921616864656765, -0.18508279142302594, -0.37154573135610136, -0.12935019958032562, -0.24766427724223053, 0.0342606021235302, -0.006565753045963772, -0.11822623163295377, 0.317856693939705, 0.2536979134227814, 0.1430110629381878, 0.0014536285307258368, 0.36729544387864216, 0.08294081434723921, 0.019154963848580207, 0.010357109671791218, 0.24825558572358983, 0.1336731565991483, 0.1066262167878449, -0.23909420284326188, 0.04621536075761209, 0.04155205649190715] |
712.2575 | On the Fundamental Properties of Coupled Oscillating Systems | The present paper presents a new general conception of interaction between
physical systems, differing significantly from that of both classical physics
and quantum physics as generally understood. We believe this conception could
provide the basis for a coherent understanding of several classes of natural
phenomena that until now have been studied only in a piece-meal fashion. These
include 1) the universal tendency for physical systems to associate together
into stable dynamic formations; 2) the seemingly unlimited capacity for
generation of physical objects in Nature, including the emergence of coherent,
quantized states in physical systems of the most varied nature; 3) the
existence of close couplings between processes whose characteristic
length-scales, frequency- and energy-ranges differ by many orders of magnitude.
The proposed conception first emerged in connection with experimental studies
of the nonlinear behavior of coupled electromagnetic oscillators, and the
discovery of two fundamental phenomena that had been overlooked in the
classical theory of oscillations. The essential features of these phenomena are
summarized in the first two sections of the paper, after which we indicate how
the underlying physical principles can be combined under a single notion of
interaction, providing a mechanism by which a practically unlimited wealth of
physical objects could be generated by the interaction of just a few. The final
section puts forward some preliminary ideas about the electromagneto-mechanical
dual nature of physical objects as oscillatory processes, suggesting a
universal scope for the proposed conceptions.
| physics.gen-ph | the present paper presents a new general conception of interaction between physical systems differing significantly from that of both classical physics and quantum physics as generally understood we believe this conception could provide the basis for a coherent understanding of several classes of natural phenomena that until now have been studied only in a piecemeal fashion these include 1 the universal tendency for physical systems to associate together into stable dynamic formations 2 the seemingly unlimited capacity for generation of physical objects in nature including the emergence of coherent quantized states in physical systems of the most varied nature 3 the existence of close couplings between processes whose characteristic lengthscales frequency and energyranges differ by many orders of magnitude the proposed conception first emerged in connection with experimental studies of the nonlinear behavior of coupled electromagnetic oscillators and the discovery of two fundamental phenomena that had been overlooked in the classical theory of oscillations the essential features of these phenomena are summarized in the first two sections of the paper after which we indicate how the underlying physical principles can be combined under a single notion of interaction providing a mechanism by which a practically unlimited wealth of physical objects could be generated by the interaction of just a few the final section puts forward some preliminary ideas about the electromagnetomechanical dual nature of physical objects as oscillatory processes suggesting a universal scope for the proposed conceptions | [['the', 'present', 'paper', 'presents', 'a', 'new', 'general', 'conception', 'of', 'interaction', 'between', 'physical', 'systems', 'differing', 'significantly', 'from', 'that', 'of', 'both', 'classical', 'physics', 'and', 'quantum', 'physics', 'as', 'generally', 'understood', 'we', 'believe', 'this', 'conception', 'could', 'provide', 'the', 'basis', 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712.2576 | Forming Galaxies with MOND | Beginning with a simple model for the growth of structure, I consider the
dissipationless evolution of a MOND-dominated region in an expanding Universe
by means of a spherically symmetric N-body code. I demonstrate that the final
virialized objects resemble elliptical galaxies with well-defined relationships
between the mass, radius, and velocity dispersion. These calculations suggest
that, in the context of MOND, massive elliptical galaxies may be formed early
(z > 10) as a result of monolithic dissipationless collapse. Then I reconsider
the classic argument that a galaxy of stars results from cooling and
fragmentation of a gas cloud on a time scale shorter than that of dynamical
collapse. Qualitatively, the results are similar to that of the traditional
picture; moreover, the existence, in MOND, of a density-temperature relation
for virialized, near isothermal objects as well as a mass-temperature relation
implies that there is a definite limit to the mass of a gas cloud where this
condition can be met-- an upper limit corresponding to that of presently
observed massive galaxies.
| astro-ph | beginning with a simple model for the growth of structure i consider the dissipationless evolution of a monddominated region in an expanding universe by means of a spherically symmetric nbody code i demonstrate that the final virialized objects resemble elliptical galaxies with welldefined relationships between the mass radius and velocity dispersion these calculations suggest that in the context of mond massive elliptical galaxies may be formed early z 10 as a result of monolithic dissipationless collapse then i reconsider the classic argument that a galaxy of stars results from cooling and fragmentation of a gas cloud on a time scale shorter than that of dynamical collapse qualitatively the results are similar to that of the traditional picture moreover the existence in mond of a densitytemperature relation for virialized near isothermal objects as well as a masstemperature relation implies that there is a definite limit to the mass of a gas cloud where this condition can be met an upper limit corresponding to that of presently observed massive galaxies | [['beginning', 'with', 'a', 'simple', 'model', 'for', 'the', 'growth', 'of', 'structure', 'i', 'consider', 'the', 'dissipationless', 'evolution', 'of', 'a', 'monddominated', 'region', 'in', 'an', 'expanding', 'universe', 'by', 'means', 'of', 'a', 'spherically', 'symmetric', 'nbody', 'code', 'i', 'demonstrate', 'that', 'the', 'final', 'virialized', 'objects', 'resemble', 'elliptical', 'galaxies', 'with', 'welldefined', 'relationships', 'between', 'the', 'mass', 'radius', 'and', 'velocity', 'dispersion', 'these', 'calculations', 'suggest', 'that', 'in', 'the', 'context', 'of', 'mond', 'massive', 'elliptical', 'galaxies', 'may', 'be', 'formed', 'early', 'z', '10', 'as', 'a', 'result', 'of', 'monolithic', 'dissipationless', 'collapse', 'then', 'i', 'reconsider', 'the', 'classic', 'argument', 'that', 'a', 'galaxy', 'of', 'stars', 'results', 'from', 'cooling', 'and', 'fragmentation', 'of', 'a', 'gas', 'cloud', 'on', 'a', 'time', 'scale', 'shorter', 'than', 'that', 'of', 'dynamical', 'collapse', 'qualitatively', 'the', 'results', 'are', 'similar', 'to', 'that', 'of', 'the', 'traditional', 'picture', 'moreover', 'the', 'existence', 'in', 'mond', 'of', 'a', 'densitytemperature', 'relation', 'for', 'virialized', 'near', 'isothermal', 'objects', 'as', 'well', 'as', 'a', 'masstemperature', 'relation', 'implies', 'that', 'there', 'is', 'a', 'definite', 'limit', 'to', 'the', 'mass', 'of', 'a', 'gas', 'cloud', 'where', 'this', 'condition', 'can', 'be', 'met', 'an', 'upper', 'limit', 'corresponding', 'to', 'that', 'of', 'presently', 'observed', 'massive', 'galaxies']] | [-0.10074960017415784, 0.11986383573869439, -0.14298440089789471, 0.10388284309315467, -0.061962036393627434, -0.06274053852790465, 0.009841881433089159, 0.34016500573192615, -0.16577155242289254, -0.3010052489339859, 0.05699666211741257, -0.21820904647451853, -0.08132084043038462, 0.1937587729175603, 0.005549381407428098, -0.021295269385180966, 0.052806283177216785, -0.028353946447974728, -0.08944292037613957, -0.2293196443543619, 0.3669719339186649, 0.049807409382241215, 0.17697816288578297, -0.03216054685404078, 0.05907387194407736, -0.09491937301919132, -0.004643034619351704, 0.046031151287547666, -0.1627948632922416, 0.02162335254251957, 0.1932885116551763, 0.12300484491132958, 0.24962975380490507, -0.39092807721591993, -0.19999886720934826, 0.07382369059009734, 0.20992018838697477, 0.09837059322634815, -0.10805758404542698, -0.2629476287151257, 0.0885305277662335, -0.20925400367642413, -0.21015789234330376, 0.04612635534178622, 0.05205267216608731, 0.0231990682725895, -0.24375840357796172, 0.18101660140251885, 0.08569257587600851, 0.012174402789655769, -0.0946182249097187, -0.041740768965512154, -0.06619082033929755, 0.04730362774146174, 0.017176012324537346, 0.047770778921817594, 0.1888715345022118, -0.16301193740776557, -0.048337600082382116, 0.44136670961262225, -0.07502240817730725, -0.0773909986827768, 0.2233819659146854, -0.18760451295240196, -0.13803049398329623, 0.09060223349704669, 0.15818910984723958, 0.08775545376168932, -0.13372282198146487, 0.03659487351103167, -0.09361202668602171, 0.1780251188414216, 0.06398787905746502, 0.01866250319978359, 0.32436943893504894, 0.14201303828831116, 0.019130761735141277, 0.06290637128596044, -0.07409633209365615, -0.10904620049387484, -0.29330076921931997, -0.1564407081909277, -0.1699010890484704, 0.09026583507629167, -0.13017592525223276, -0.16719431895762682, 0.29997277427130115, 0.11675041450067664, 0.2583706360589155, 0.09893056552984032, 0.3030096391706677, 0.0864365300265403, 0.09803813937939927, 0.11817110801801577, 0.2760585561355654, 0.15012111026420075, 0.06267319517321661, -0.22367841228257174, 0.03389796207541834, 0.023005580809106772] |
712.2577 | Is the injectivity of the global function of a cellular automaton in the
hyperbolic plane undecidable? | In this paper, we look at the following question. We consider cellular
automata in the hyperbolic plane and we consider the global function defined on
all possible configurations. Is the injectivity of this function undecidable?
The problem was answered positively in the case of the Euclidean plane by
Jarkko Kari, in 1994. In the present paper, we give a partial answer: when the
configurations are restricted to a certain condition, the problem is
undecidable.
| cs.DM cs.LO | in this paper we look at the following question we consider cellular automata in the hyperbolic plane and we consider the global function defined on all possible configurations is the injectivity of this function undecidable the problem was answered positively in the case of the euclidean plane by jarkko kari in 1994 in the present paper we give a partial answer when the configurations are restricted to a certain condition the problem is undecidable | [['in', 'this', 'paper', 'we', 'look', 'at', 'the', 'following', 'question', 'we', 'consider', 'cellular', 'automata', 'in', 'the', 'hyperbolic', 'plane', 'and', 'we', 'consider', 'the', 'global', 'function', 'defined', 'on', 'all', 'possible', 'configurations', 'is', 'the', 'injectivity', 'of', 'this', 'function', 'undecidable', 'the', 'problem', 'was', 'answered', 'positively', 'in', 'the', 'case', 'of', 'the', 'euclidean', 'plane', 'by', 'jarkko', 'kari', 'in', '1994', 'in', 'the', 'present', 'paper', 'we', 'give', 'a', 'partial', 'answer', 'when', 'the', 'configurations', 'are', 'restricted', 'to', 'a', 'certain', 'condition', 'the', 'problem', 'is', 'undecidable']] | [-0.18225512907815142, 0.08901113843092241, 0.0018779081166596025, 0.12800029273824515, -0.04469363487678001, -0.103939636685961, 0.052963419477581174, 0.35198013997963956, -0.2960789379336544, -0.2290818342196478, 0.11952132657264687, -0.24954201198006803, -0.18343738015942476, 0.14047971160176234, -0.13727916666382067, 0.048436252947745694, 0.04544498727380021, 0.046408475030565985, -0.048120314621121145, -0.31362555544143794, 0.4002364961669554, -0.011463931856072834, 0.20639223946459792, 0.09530835448940461, 0.06924558550471792, 0.05554475877795847, -0.019931911685931926, 0.05816991695177716, -0.20455276596712302, 0.0777596575302399, 0.27785441802965627, 0.18017381330876536, 0.26884334336500615, -0.38628027432069584, -0.15584295783569482, 0.16566353729246436, 0.11695818887469736, 0.0936477054917329, -0.0023850665657428674, -0.2267581833797079, 0.11865100432564882, -0.10213650580545938, -0.13955040780097447, 0.04520931739259411, 0.036541807792476705, -0.02282550832810434, -0.20494701260247747, 0.03333270766873013, 0.14021405210164753, 0.06943029773459342, -0.10954176087712718, -0.0469040950835758, 0.05577132870392824, 0.10211297364258899, 0.00043249831935247276, 0.05831983463989722, 0.02318766158124482, -0.06557810188875206, -0.11948221720553734, 0.41190683489312996, -0.01490017494526566, -0.2829214271812423, 0.12841106484316894, -0.17632401739939343, -0.1698747347171947, 0.05276721628458315, 0.16066228139931588, 0.18498441377478475, -0.11569177233271861, 0.1797072807054753, -0.18575249276300138, 0.11875630034813406, 0.11951667490113224, -0.05676521805140215, 0.1521165307235237, 0.15295318132455185, 0.12122619343367783, 0.2472800188037139, 0.01185112668286279, -0.046242389507824555, -0.2657969298118071, -0.1383901775336346, -0.0925954120356363, 0.05086239240119687, 0.010663550757493107, -0.16996051148335273, 0.39781072154339103, 0.1385975252534892, 0.19084811542887944, 0.11059603566379361, 0.24471078865934867, 0.13989492986945914, -0.027262086061307707, 0.06569312184394614, 0.19057053717709072, 0.10695451174271167, 0.11564108292018441, -0.16832196061826638, 0.037642220872127125, 0.14126451153660546] |
712.2578 | Convex Entropy Decay via the Bochner-Bakry-Emery approach | We develop a method, based on a Bochner-type identity, to obtain estimates on
the exponential rate of decay of the relative entropy from equilibrium of
Markov processes in discrete settings. When this method applies the relative
entropy decays in a convex way. The method is shown to be rather powerful when
applied to a class of birth and death processes. We then consider other
examples, including inhomogeneous zero-range processes and Bernoulli-Laplace
models. For these two models, known results were limited to the homogeneous
case, and obtained via the martingale approach, whose applicability to
inhomogeneous models is still unclear.
| math.PR | we develop a method based on a bochnertype identity to obtain estimates on the exponential rate of decay of the relative entropy from equilibrium of markov processes in discrete settings when this method applies the relative entropy decays in a convex way the method is shown to be rather powerful when applied to a class of birth and death processes we then consider other examples including inhomogeneous zerorange processes and bernoullilaplace models for these two models known results were limited to the homogeneous case and obtained via the martingale approach whose applicability to inhomogeneous models is still unclear | [['we', 'develop', 'a', 'method', 'based', 'on', 'a', 'bochnertype', 'identity', 'to', 'obtain', 'estimates', 'on', 'the', 'exponential', 'rate', 'of', 'decay', 'of', 'the', 'relative', 'entropy', 'from', 'equilibrium', 'of', 'markov', 'processes', 'in', 'discrete', 'settings', 'when', 'this', 'method', 'applies', 'the', 'relative', 'entropy', 'decays', 'in', 'a', 'convex', 'way', 'the', 'method', 'is', 'shown', 'to', 'be', 'rather', 'powerful', 'when', 'applied', 'to', 'a', 'class', 'of', 'birth', 'and', 'death', 'processes', 'we', 'then', 'consider', 'other', 'examples', 'including', 'inhomogeneous', 'zerorange', 'processes', 'and', 'bernoullilaplace', 'models', 'for', 'these', 'two', 'models', 'known', 'results', 'were', 'limited', 'to', 'the', 'homogeneous', 'case', 'and', 'obtained', 'via', 'the', 'martingale', 'approach', 'whose', 'applicability', 'to', 'inhomogeneous', 'models', 'is', 'still', 'unclear']] | [-0.0025708665964383707, 0.10381921827888155, -0.09673113050889603, 0.12826491988439837, -0.03759071862382092, -0.1669421171750493, 0.07110060894225097, 0.37177599601599637, -0.2958923963145638, -0.22038942649342805, 0.1282508131568035, -0.23416307540040235, -0.129197622335763, 0.24775294505287798, -0.05436231520939238, 0.06972961212812485, 0.04336540732646779, 0.0520564568305046, -0.04268157682666669, -0.25126478455518847, 0.3339599295761626, 0.013807905647827655, 0.28516317441660377, 0.04086901622406226, 0.09672494887431361, -0.029092259087352728, -0.05241488389034128, 0.016233650995988627, -0.15077479905330063, 0.12973094326075718, 0.20171756058368132, 0.11937597113642462, 0.27147059545529134, -0.39342647933458186, -0.2262095656645085, 0.155393770766416, 0.12971085112313835, 0.13694281742090778, -0.032183779215877305, -0.2849826197097154, 0.054369390564400474, -0.16974165360443294, -0.13605731898652657, -0.08728222121313518, 0.005587921363814753, 0.05211031625085339, -0.3354602450010728, 0.12736178489820082, 0.09473109031075312, -0.00024205606254958074, -0.08113773996295522, -0.08711427360017575, 0.022106433905570825, 0.07227040613272075, 0.07312308544440348, -0.01440696509516969, 0.11164601743031217, -0.09585554525256157, -0.14270264340792688, 0.35950021042811625, -0.09260327367549193, -0.24990611342827276, 0.2584533595636829, -0.1284733992830223, -0.13511266641565883, 0.11297460704357648, 0.20610128447582127, 0.1817756054058139, -0.19102594380567506, 0.10048360047132555, 0.004574336496428872, 0.09956442857427257, 0.00808833781344702, -0.009452487351562905, 0.13157659033741043, 0.14081826714124074, 0.06641942564854209, 0.1838090755538397, -0.04520954642497117, -0.16983248115688257, -0.2764206542348375, -0.1218092313834599, -0.16530557965850268, 0.09209504178059953, -0.06122028944513176, -0.17269014995824308, 0.34719206991947577, 0.14544995295416033, 0.20000159573190066, 0.08737849276892994, 0.26987061811116886, 0.13284755999944647, 0.0217990842077653, 0.06223242892312036, 0.1803053829590885, 0.1882808325189755, 0.060861958072007616, -0.17812114591206596, 0.10505596879983739, 0.09947549687147293] |
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