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707.023
|
Positive Forms and Stability of Linear Time-Delay Systems
|
We consider the problem of constructing Lyapunov functions for linear
differential equations with delays. For such systems it is known that
exponential stability implies the existence of a positive Lyapunov function
which is quadratic on the space of continuous functions. We give an explicit
parametrization of a sequence of finite-dimensional subsets of the cone of
positive Lyapunov functions using positive semidefinite matrices. This allows
stability analysis of linear time-delay systems to be formulated as a
semidefinite program.
|
math.DS math.OC
|
we consider the problem of constructing lyapunov functions for linear differential equations with delays for such systems it is known that exponential stability implies the existence of a positive lyapunov function which is quadratic on the space of continuous functions we give an explicit parametrization of a sequence of finitedimensional subsets of the cone of positive lyapunov functions using positive semidefinite matrices this allows stability analysis of linear timedelay systems to be formulated as a semidefinite program
|
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|
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|
707.0231
|
Analysis of a four-mirror cavity enhanced Michelson interferometer
|
We investigate the shot noise limited sensitivity of a four-mirror cavity
enhanced Michelson interferometer. The intention of this interferometer
topology is the reduction of thermal lensing and the impact of the
interferometers contrast although transmissive optics are used with high
circulating powers. The analytical expressions describing the light fields and
the frequency response are derived. Although the parameter space has 11
dimensions, a detailed analysis of the resonance feature gives boundary
conditions allowing systematic parameter studies.
|
physics.optics physics.ins-det
|
we investigate the shot noise limited sensitivity of a fourmirror cavity enhanced michelson interferometer the intention of this interferometer topology is the reduction of thermal lensing and the impact of the interferometers contrast although transmissive optics are used with high circulating powers the analytical expressions describing the light fields and the frequency response are derived although the parameter space has 11 dimensions a detailed analysis of the resonance feature gives boundary conditions allowing systematic parameter studies
|
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|
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|
707.0232
|
The influence of the nuclear medium on inclusive electron and neutrino
scattering off nuclei
|
We present a model for inclusive electron and neutrino scattering off nuclei
paying special attention to the influence of in-medium effects on the
quasi-elastic scattering and pion-production mechanisms. Our results for
electron scattering off Oxygen are compared to experimental data at beam
energies ranging from 0.7-1.5 GeV. The good description of electron scattering
serves as a benchmark for neutrino scattering.
|
nucl-th hep-ph
|
we present a model for inclusive electron and neutrino scattering off nuclei paying special attention to the influence of inmedium effects on the quasielastic scattering and pionproduction mechanisms our results for electron scattering off oxygen are compared to experimental data at beam energies ranging from 0715 gev the good description of electron scattering serves as a benchmark for neutrino scattering
|
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|
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|
707.0233
|
Towards an hybrid compactification with a scalar-tensor global cosmic
string
|
We derive a solution of the gravitational equations which leads to a
braneworld scenario in six dimensions using a global cosmic string solution in
a low energy effective string theory framework. The final spacetime is composed
by one warped brane with $\mathbb{R}^{(3,1)}\times S^{1}$ topology and a power
law warp factor, and one noncompact extra dimension transverse to the brane. By
looking at the current experimental bounds, we find a range of parameters in
which, if the on-brane dimension has an acceptable size, it does not solve the
hierarchy problem. In another example this problem is smoothed by the
Brans-Dicke parameter.
|
hep-th gr-qc
|
we derive a solution of the gravitational equations which leads to a braneworld scenario in six dimensions using a global cosmic string solution in a low energy effective string theory framework the final spacetime is composed by one warped brane with mathbbr31times s1 topology and a power law warp factor and one noncompact extra dimension transverse to the brane by looking at the current experimental bounds we find a range of parameters in which if the onbrane dimension has an acceptable size it does not solve the hierarchy problem in another example this problem is smoothed by the bransdicke parameter
|
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|
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|
707.0234
|
Selection Relaying at Low Signal to Noise Ratios
|
Performance of cooperative diversity schemes at Low Signal to Noise Ratios
(LSNR) was recently studied by Avestimehr et. al. [1] who emphasized the
importance of diversity gain over multiplexing gain at low SNRs. It has also
been pointed out that continuous energy transfer to the channel is necessary
for achieving the max-flow min-cut bound at LSNR. Motivated by this we propose
the use of Selection Decode and Forward (SDF) at LSNR and analyze its
performance in terms of the outage probability. We also propose an energy
optimization scheme which further brings down the outage probability.
|
cs.IT math.IT
|
performance of cooperative diversity schemes at low signal to noise ratios lsnr was recently studied by avestimehr et al 1 who emphasized the importance of diversity gain over multiplexing gain at low snrs it has also been pointed out that continuous energy transfer to the channel is necessary for achieving the maxflow mincut bound at lsnr motivated by this we propose the use of selection decode and forward sdf at lsnr and analyze its performance in terms of the outage probability we also propose an energy optimization scheme which further brings down the outage probability
|
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|
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|
707.0235
|
Evading divergences in quantum field theory
|
Explicit solution of a Green function in a non-renormalizable toy model
demonstrates that Green functions of the interacting theory fall off much
faster than at the tree level at large momenta. This suggests a method of
calculations in quantum field theory which is free of divergences.
|
hep-th
|
explicit solution of a green function in a nonrenormalizable toy model demonstrates that green functions of the interacting theory fall off much faster than at the tree level at large momenta this suggests a method of calculations in quantum field theory which is free of divergences
|
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|
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|
707.0236
|
Fractional Quantum Hall Effect in the Second Landau Level
|
We present activation gap measurements of the fractional quantum Hall effect
(FQHE) in the second Landau level. Signatures for 14 (5) distinct
incompressible FQHE states are seen in a high (low) mobility sample with the
enigmatic 5/2 even denominator FQHE having a large activation gap of $\sim$600
($\sim$300mK) in the high (low) mobility sample. Our measured large relative
gaps for 5/2, 7/3, and 8/3 FQHE indicate emergence of exotic FQHE correlations
in the second Ladau level, possibly quite different from the well-known lowest
Landau level Laughlin correlations. Our measured 5/2 gap is found to be in
reasonable agreement with the theoretical gap once finite width and disorder
broadening corrections are taken into account.
|
cond-mat.mes-hall
|
we present activation gap measurements of the fractional quantum hall effect fqhe in the second landau level signatures for 14 5 distinct incompressible fqhe states are seen in a high low mobility sample with the enigmatic 52 even denominator fqhe having a large activation gap of sim600 sim300mk in the high low mobility sample our measured large relative gaps for 52 73 and 83 fqhe indicate emergence of exotic fqhe correlations in the second ladau level possibly quite different from the wellknown lowest landau level laughlin correlations our measured 52 gap is found to be in reasonable agreement with the theoretical gap once finite width and disorder broadening corrections are taken into account
|
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|
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|
707.0237
|
The number of imaginary quadratic fields with a given class number
|
We investigate the number ${\Cal F}(h)$ of imaginary quadratic fields with
class number $h$. We establish an asymptotic formula for the average value of
${\Cal F}(h)$. We also establish a modest non-trivial upper bound for ${\Cal
F}(h)$ and give an application to a question of Rosen and Silverman on the odd
part of the class number. Finally, we speculate on the asymptotic nature of
${\Cal F}(h)$.
|
math.NT
|
we investigate the number cal fh of imaginary quadratic fields with class number h we establish an asymptotic formula for the average value of cal fh we also establish a modest nontrivial upper bound for cal fh and give an application to a question of rosen and silverman on the odd part of the class number finally we speculate on the asymptotic nature of cal fh
|
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|
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|
707.0238
|
Spin flip lifetimes in superconducting atom chips: BCS versus Eliashberg
theory
|
We investigate theoretically the magnetic spin-flip transitions of neutral
atoms trapped near a superconducting slab. Our calculations are based on a
quantum-theoretical treatment of electromagnetic radiation near dielectric and
metallic bodies. Specific results are given for rubidium atoms near a niobium
superconductor. At the low frequencies typical of the atomic transitions, we
find that BCS theory greatly overestimates coherence effects, which are much
less pronounced when quasiparticle lifetime effects are included through
Eliashberg theory. At 4.2 K, the typical atomic spin lifetime is found to be
larger than a thousand seconds, even for atom-superconductor distances of one
micrometer. This constitutes a large enhancement in comparison with normal
metals.
|
cond-mat.supr-con
|
we investigate theoretically the magnetic spinflip transitions of neutral atoms trapped near a superconducting slab our calculations are based on a quantumtheoretical treatment of electromagnetic radiation near dielectric and metallic bodies specific results are given for rubidium atoms near a niobium superconductor at the low frequencies typical of the atomic transitions we find that bcs theory greatly overestimates coherence effects which are much less pronounced when quasiparticle lifetime effects are included through eliashberg theory at 42 k the typical atomic spin lifetime is found to be larger than a thousand seconds even for atomsuperconductor distances of one micrometer this constitutes a large enhancement in comparison with normal metals
|
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|
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|
707.0239
|
Hamiltonian Stationary Shrinkers and Expanders for Lagrangian Mean
Curvature Flows
|
We construct examples of shrinkers and expanders for Lagrangian mean
curvature flows. These examples are Hamiltonian stationary and asymptotic to
the union of two Hamiltonian stationary cones found by Schoen and Wolfson. The
Schoen-Wolfson cones $C_{p,q}$ are obstructions to the existence problems of
special Lagrangians or Lagrangian minimal surfaces in the variational approach.
It is known that these cone singularities cannot be resolved by any smooth
oriented Lagrangian submanifolds. The shrinkers and expanders that we found can
be glued together to yield solutions of the Brakke motion-a weak formulation of
the mean curvature flow. For any coprime pair $(p,q)$ other than $(2,1)$, we
construct such a solution that resolves any single Schoen-Wolfson cone
$C_{p,q}$. This thus provides an evidence to Schoen-Wolfson's conjecture that
the $(2,1)$ cone is the only area-minimizing cone. Higher dimensional
generalizations are also obtained.
|
math.DG
|
we construct examples of shrinkers and expanders for lagrangian mean curvature flows these examples are hamiltonian stationary and asymptotic to the union of two hamiltonian stationary cones found by schoen and wolfson the schoenwolfson cones c_pq are obstructions to the existence problems of special lagrangians or lagrangian minimal surfaces in the variational approach it is known that these cone singularities cannot be resolved by any smooth oriented lagrangian submanifolds the shrinkers and expanders that we found can be glued together to yield solutions of the brakke motiona weak formulation of the mean curvature flow for any coprime pair pq other than 21 we construct such a solution that resolves any single schoenwolfson cone c_pq this thus provides an evidence to schoenwolfsons conjecture that the 21 cone is the only areaminimizing cone higher dimensional generalizations are also obtained
|
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|
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|
707.024
|
A theory of bundles over posets
|
In algebraic quantum field theory the spacetime manifold is replaced by a
suitable base for its topology ordered under inclusion. We explain how certain
topological invariants of the manifold can be computed in terms of the base
poset. We develop a theory of connections and curvature for bundles over posets
in search of a formulation of gauge theories in algebraic quantum field theory.
|
math.AT math-ph math.MP
|
in algebraic quantum field theory the spacetime manifold is replaced by a suitable base for its topology ordered under inclusion we explain how certain topological invariants of the manifold can be computed in terms of the base poset we develop a theory of connections and curvature for bundles over posets in search of a formulation of gauge theories in algebraic quantum field theory
|
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|
[-0.22359891968320997, 0.15829164040596447, -0.12018156489209524, 0.10836548551303586, -0.09006950729304836, -0.1365696494541471, 0.022305715095532672, 0.3216899653216676, -0.3107009735845384, -0.2325360399803945, 0.07072596643711367, -0.18843381615385177, -0.2254644064380536, 0.14228458654889392, -0.12008747119929582, -0.018041048022467525, -0.005865619399599613, 0.12119991710734745, -0.11544194495275853, -0.25760821741636075, 0.41562338672312243, 0.0007888318505138159, 0.24063296786450322, 0.054399170560668966, 0.1030655370966073, 0.01477297686690849, 0.02187889511327422, 0.1403354782729395, -0.12899612576242478, 0.16157681935481608, 0.3094294738793184, 0.11333853200388451, 0.17773569245187062, -0.4595757985694541, -0.22973509178689075, 0.09119857223852286, 0.10676930207640879, 0.06982994109894784, -0.0013396127208594292, -0.29891782100238495, 0.13676966437035137, -0.1597016957839803, -0.14255134766599872, -0.13152984398165865, -0.024890704047200934, -0.03833582243394284, -0.21247843848097892, -0.0439550942586114, 0.051654179063108235, 0.15282051936383284, -0.07983757818805143, -0.010115182090048042, -0.02559499782584016, 0.04634603932647714, 0.0206930814569609, 0.06563283475337639, 0.10303363860363052, -0.1478730465122868, -0.18562492677971484, 0.37406824047248516, -0.072534021611015, -0.28229196880397106, 0.07505775877230224, -0.11477134559333088, -0.1535853250839171, 0.1243901854262702, 0.13564749940165452, 0.16969358566261472, -0.03057258308584255, 0.25743162830356536, -0.05016355543205189, 0.07483460667306586, 0.0595002541436799, 0.04357227927724284, 0.209567591547966, 0.104486432488239, 0.08507572235687384, 0.12923869941317076, 0.008473412385062567, -0.17720905636688547, -0.3723622758000616, -0.22176761546870694, -0.1365131087867277, 0.1409307003117329, -0.14267319030593156, -0.1935250961391758, 0.4125646274418585, 0.09791365305020933, 0.1628409803970643, 0.06520220764454394, 0.20955967213515014, 0.0891492644709254, 0.05407649954958331, 0.007866826071034349, 0.1665469759424764, 0.2899870495274959, 0.01754043460269237, -0.14408572235085543, -0.02927534892002032, 0.1851495217591051]
|
707.0241
|
Singular points of real quartic curves via computer algebra
|
There are thirteen types of singular points for irreducible real quartic
curves and seventeen types of singular points for reducible real quartic
curves. This classification is originally due to D.A. Gudkov. There are nine
types of singular points for irreducible complex quartic curves and ten types
of singular points for reducible complex quartic curves. We derive the complete
classification with proof by using the computer algebra system Maple. We
clarify that the classification is based on computing just enough of the
Puiseux expansion to separate the branches. Thus, the proof consists of a
sequence of large symbolic computations that can be done nicely using Maple.
|
math.AG
|
there are thirteen types of singular points for irreducible real quartic curves and seventeen types of singular points for reducible real quartic curves this classification is originally due to da gudkov there are nine types of singular points for irreducible complex quartic curves and ten types of singular points for reducible complex quartic curves we derive the complete classification with proof by using the computer algebra system maple we clarify that the classification is based on computing just enough of the puiseux expansion to separate the branches thus the proof consists of a sequence of large symbolic computations that can be done nicely using maple
|
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|
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|
707.0242
|
Slave boson theory for transport through magnetic molecules with
vibronic states
|
We study the electron transport through a magnetic molecular transistor in
the Kondo limit using the slave boson technique. We include the electron-phonon
coupling and analyze the cases where the spin of the molecule is either S=1/2
or S=1. We use the Schrieffer-Wolff transformation to write down a low energy
Hamiltonian for the system. In the presence of electron-phonon coupling, and
for $S\smeq1$, the resulting Kondo Hamiltonian has two active channels. At low
temperature, these two channels interfere destructively, leading to a zero
conductance.
|
cond-mat.str-el cond-mat.mes-hall
|
we study the electron transport through a magnetic molecular transistor in the kondo limit using the slave boson technique we include the electronphonon coupling and analyze the cases where the spin of the molecule is either s12 or s1 we use the schriefferwolff transformation to write down a low energy hamiltonian for the system in the presence of electronphonon coupling and for ssmeq1 the resulting kondo hamiltonian has two active channels at low temperature these two channels interfere destructively leading to a zero conductance
|
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|
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|
707.0243
|
Conformal properties of four-gluon planar amplitudes and Wilson loops
|
We present further evidence for a dual conformal symmetry in the four-gluon
planar scattering amplitude in N=4 SYM. We show that all the momentum integrals
appearing in the perturbative on-shell calculations up to five loops are dual
to true conformal integrals, well defined off shell. Assuming that the complete
off-shell amplitude has this dual conformal symmetry and using the basic
properties of factorization of infrared divergences, we derive the special form
of the finite remainder previously found at weak coupling and recently
reproduced at strong coupling by AdS/CFT. We show that the same finite term
appears in a weak coupling calculation of a Wilson loop whose contour consists
of four light-like segments associated with the gluon momenta. We also
demonstrate that, due to the special form of the finite remainder, the
asymptotic Regge limit of the four-gluon amplitude coincides with the exact
expression evaluated for arbitrary values of the Mandelstam variables.
|
hep-th hep-ph
|
we present further evidence for a dual conformal symmetry in the fourgluon planar scattering amplitude in n4 sym we show that all the momentum integrals appearing in the perturbative onshell calculations up to five loops are dual to true conformal integrals well defined off shell assuming that the complete offshell amplitude has this dual conformal symmetry and using the basic properties of factorization of infrared divergences we derive the special form of the finite remainder previously found at weak coupling and recently reproduced at strong coupling by adscft we show that the same finite term appears in a weak coupling calculation of a wilson loop whose contour consists of four lightlike segments associated with the gluon momenta we also demonstrate that due to the special form of the finite remainder the asymptotic regge limit of the fourgluon amplitude coincides with the exact expression evaluated for arbitrary values of the mandelstam variables
|
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|
[-0.17162213932001186, 0.1617876330501591, -0.08795502902754884, 0.10754217833067778, -0.071796137034671, -0.08530138368527128, 0.016040520652332992, 0.34504075031974263, -0.1778303313960278, -0.19264652382039668, 0.04932994077241184, -0.2720211708196593, -0.1490503802297279, 0.10696341156410609, 0.02885598428925154, 0.06678119457462904, 0.028310018739607555, 0.07848094993221592, -0.1219731237483365, -0.21590548267338228, 0.3324229438474636, -0.014182777349861795, 0.2571674269309502, 0.10039419725241251, 0.13008932913005944, 0.07400095680673045, -0.035559355463240516, 0.018641433431859443, -0.09736090137361894, 0.08582349629711902, 0.22526694867383715, 0.0023669629043202526, 0.13952631297034046, -0.4067900042906897, -0.14394096644681614, 0.031513738430518384, 0.20323837866439232, 0.11368893729642324, 0.025454233658025103, -0.23508341289480025, 0.05184348210667735, -0.16170672033697564, -0.22197630734102713, -0.09029274007017549, 0.01736975400801131, -0.06468138834060669, -0.2712001276221003, 0.07295239932772654, 0.017327807551490403, 0.02420744823637096, -0.03263059034265134, -0.11775678270095527, -0.06062607645729421, 0.09401120818127563, 0.11026180743406348, 0.06040552177540465, 0.0628994406210197, -0.17623613479806247, -0.11338024134655168, 0.3170679853859031, -0.09527164961007849, -0.18653811238835633, 0.12566869794421934, -0.21458486927710227, -0.1806121960502821, 0.15177434589959557, 0.08832109513051117, 0.15431895330147385, -0.1574864254289905, 0.20968513067006841, -0.04345857241924926, 0.09953264118671812, 0.1592088044098338, 0.05565424659135227, 0.17748883620693984, 0.05334391012565782, -0.024178672766942064, 0.20666673796140397, -0.050969931522510725, -0.13302465629091623, -0.4521596175896016, -0.09470212174847796, -0.1252774763335813, 0.07427462120386248, -0.17203314242162124, -0.20811446860358612, 0.34970394944130684, 0.09096157831760102, 0.20784689959551866, 0.09929723614543084, 0.2492419597723626, 0.18518057550050762, 0.14157353045221494, 0.09484652582161276, 0.28641348518431187, 0.17314162144332582, 0.03335498729859485, -0.299928934146829, -0.05063389977501915, 0.17499163804501788]
|
707.0244
|
A construction of numerical Campedelli Surfaces with \Z/6 torsion group
|
We produce a family of numerical Campedelli surfaces with \Z/6 torsion by
constructing the (Gorenstein codimension 5) canonical ring of the \'{e}tale six
to one cover using serial unprojection. In Section 2 we develop the necessary
algebraic machinery. Section 3 contains the numerical Campedelli surface
construction, while Section 4 contains remarks and open questions.
|
math.AG math.AC
|
we produce a family of numerical campedelli surfaces with z6 torsion by constructing the gorenstein codimension 5 canonical ring of the etale six to one cover using serial unprojection in section 2 we develop the necessary algebraic machinery section 3 contains the numerical campedelli surface construction while section 4 contains remarks and open questions
|
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|
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|
707.0245
|
Relating Neural Dynamics to Neural Coding
|
We demonstrate that two key theoretical objects used widely in Computational
Neuroscience, the phase-resetting curve (PRC) from dynamics and the spike
triggered average (STA) from statistical analysis, are closely related under a
wide range of stimulus conditions. We prove that the STA is proportional to the
derivative of the PRC. We compare these analytic results to numerical
calculations for the Hodgkin-Huxley neuron and we apply the method to neurons
in the olfactory bulb of mice. This observation allows us to relate the
stimulus-response properties of a neuron to its dynamics, bridging the gap
between dynamical and information theoretic approaches to understanding brain
computations and facilitating the interpretation of changes in channels and
other cellular properties as influencing the representation of stimuli.
|
q-bio.NC
|
we demonstrate that two key theoretical objects used widely in computational neuroscience the phaseresetting curve prc from dynamics and the spike triggered average sta from statistical analysis are closely related under a wide range of stimulus conditions we prove that the sta is proportional to the derivative of the prc we compare these analytic results to numerical calculations for the hodgkinhuxley neuron and we apply the method to neurons in the olfactory bulb of mice this observation allows us to relate the stimulusresponse properties of a neuron to its dynamics bridging the gap between dynamical and information theoretic approaches to understanding brain computations and facilitating the interpretation of changes in channels and other cellular properties as influencing the representation of stimuli
|
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|
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|
707.0246
|
A new graphical tool of outliers detection in regression models based on
recursive estimation
|
We present in this paper a new tool for outliers detection in the context of
multiple regression models. This graphical tool is based on recursive
estimation of the parameters. Simulations were carried out to illustrate the
performance of this graphical procedure. As a conclusion, this tool is applied
to real data containing outliers according to the classical available tools.
|
stat.ME
|
we present in this paper a new tool for outliers detection in the context of multiple regression models this graphical tool is based on recursive estimation of the parameters simulations were carried out to illustrate the performance of this graphical procedure as a conclusion this tool is applied to real data containing outliers according to the classical available tools
|
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|
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|
707.0247
|
A dynamical study of the pentaquark Theta+ state
|
this paper has been withdrawn by the author due to crucial type errors
|
hep-ph
|
this paper has been withdrawn by the author due to crucial type errors
|
[['this', 'paper', 'has', 'been', 'withdrawn', 'by', 'the', 'author', 'due', 'to', 'crucial', 'type', 'errors']]
|
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|
707.0248
|
On Newtonian frames
|
In Newtonian space-time there exist four, and only four, causal classes of
frames. Natural frames allow to extend this result to coordinate systems, so
that coordinate systems may be also locally classified in four causal classes.
These causal classes admit simple geometric descriptions and physical
interpretations. For example, one can generate representatives of the four
causal classes by means of the {\em linear synchronization group}. Of
particular interest is the {\em local Solar time synchronization}, which
reveals the limits of the frequent use of the concept of `causally oriented
oordinate', such as that of `time-like coordinate'. Classical {\em positioning
systems}, based in sound or light signals, are, by themselves, interesting
examples of location systems, i.e. of physically constructible coordinate
systems. They show that one can locate events in Newtonian space-time {\em
without} any use of the concept of synchronization. In fact, the coordinate
systems associated to positioning systems, belong to all the classes but the
standard one, i.e. the one based in the simultaneity synchronization. The
relativistic analogs of these examples, emphasize the contrast between the four
Newtonian and the one hundred and ninety nine Lorentzian causal classes of
frames of classical and relativistic space-times, respectively.
|
gr-qc
|
in newtonian spacetime there exist four and only four causal classes of frames natural frames allow to extend this result to coordinate systems so that coordinate systems may be also locally classified in four causal classes these causal classes admit simple geometric descriptions and physical interpretations for example one can generate representatives of the four causal classes by means of the em linear synchronization group of particular interest is the em local solar time synchronization which reveals the limits of the frequent use of the concept of causally oriented oordinate such as that of timelike coordinate classical em positioning systems based in sound or light signals are by themselves interesting examples of location systems ie of physically constructible coordinate systems they show that one can locate events in newtonian spacetime em without any use of the concept of synchronization in fact the coordinate systems associated to positioning systems belong to all the classes but the standard one ie the one based in the simultaneity synchronization the relativistic analogs of these examples emphasize the contrast between the four newtonian and the one hundred and ninety nine lorentzian causal classes of frames of classical and relativistic spacetimes respectively
|
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|
[-0.17590937051901187, 0.10536243486671876, -0.05628311452575219, 0.09456752256896252, -0.0865424097993244, -0.15042912134279807, -0.012576905357388733, 0.34937237470577925, -0.26208357810533833, -0.2845470090014621, 0.08976666984172203, -0.2471309072170884, -0.1610284607893286, 0.21745027739626283, -0.07193601398060145, 0.016813953378452706, 0.03783030250133612, 0.10530290016964174, -0.08290996700704384, -0.2311906968494161, 0.3495024749059947, -0.0056013099228342375, 0.24154771440304243, -0.08027110809925944, 0.11416429218071966, 0.016505818071369176, -0.056266731914514916, 0.07579478186567147, -0.07296713639273851, 0.11101557759042734, 0.2706025764728204, 0.17535106323492258, 0.23455434464730132, -0.42386111656251624, -0.2222454578162004, 0.13495186568739323, 0.1027331653289879, 0.12442090181956211, -0.003781391870087156, -0.2956139715340657, 0.04065208891167855, -0.13468245892331768, -0.12727948389947413, -0.061759782430883016, 0.01867713265789625, 0.044897317950530216, -0.1809954687141073, 0.06304079513528194, 0.10712193737093073, 0.05993268529000955, -0.0649155755348217, -0.03136158105081473, -0.0045334004343320165, 0.13752234837350746, 0.043222896256842294, -0.025125712781953507, 0.11416522597607512, -0.06418351163723482, -0.18340553315833974, 0.43419301158342605, 0.011666865164461809, -0.2478334341138506, 0.2614311614587234, -0.13635657039614252, -0.14900875395904176, 0.10877974960551513, 0.15547267228651504, 0.1434252732218458, -0.18385972206791243, 0.050884981566550545, -0.03747451385865227, 0.11938089661491223, 0.1221184900854356, 0.10747752856845275, 0.2286748184177738, 0.069032010055171, 0.043866677675396204, 0.07490592423814516, -0.05740011990195713, -0.1288121003093413, -0.33690343941532025, -0.15404915501100894, -0.11716692788072694, 0.019012103819598756, -0.12494249212195893, -0.17237991192258703, 0.39147296662036424, 0.1312721991051848, 0.17177261092150822, 0.031190859113867656, 0.24406137134438047, 0.032172233644180384, 0.08181720751886949, 0.10412775120721796, 0.2827586225878734, 0.09230383140011093, 0.048017945249254505, -0.15909839862187464, 0.021456366536231376, 0.09442222350253127]
|
707.0249
|
Eccentricity fluctuations from the Color Glass Condensate at RHIC and
LHC
|
In this brief note, we determine the fluctuations of the initial eccentricity
in heavy-ion collisions caused by fluctuations of the nucleon configurations.
This is done via a Monte-Carlo implementation of a Color Glass Condensate
$k_t$-factorization approach. The eccentricity fluctuations are found to nearly
saturate elliptic flow fluctuations measured recently at RHIC. Extrapolations
to LHC energies are shown.
|
nucl-th
|
in this brief note we determine the fluctuations of the initial eccentricity in heavyion collisions caused by fluctuations of the nucleon configurations this is done via a montecarlo implementation of a color glass condensate k_tfactorization approach the eccentricity fluctuations are found to nearly saturate elliptic flow fluctuations measured recently at rhic extrapolations to lhc energies are shown
|
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|
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|
707.025
|
The refined transfer, bundle structures and algebraic K-theory
|
We give new homotopy theoretic criteria for deciding when a fibration with
homotopy finite fibers admits a reduction to a fiber bundle with compact
topological manifold fibers. The criteria lead to a new and unexpected result
about homeomorphism groups of manifolds. A tool used in the proof is a
surjective splitting of the assembly map for Waldhausen's functor A(X).
We also give concrete examples of fibrations having a reduction to a fiber
bundle with compact topological manifold fibers but which fail to admit a
compact fiber smoothing. The examples are detected by algebraic K-theory
invariants.
We consider a refinement of the Becker-Gottlieb transfer. We show that a
version of the axioms described by Becker and Schultz uniquely determines the
refined transfer for the class of fibrations admitting a reduction to a fiber
bundle with compact topological manifold fibers.
In an appendix, we sketch a theory of characteristic classes for fibrations.
The classes are primary obstructions to finding a compact fiber smoothing.
|
math.AT math.KT
|
we give new homotopy theoretic criteria for deciding when a fibration with homotopy finite fibers admits a reduction to a fiber bundle with compact topological manifold fibers the criteria lead to a new and unexpected result about homeomorphism groups of manifolds a tool used in the proof is a surjective splitting of the assembly map for waldhausens functor ax we also give concrete examples of fibrations having a reduction to a fiber bundle with compact topological manifold fibers but which fail to admit a compact fiber smoothing the examples are detected by algebraic ktheory invariants we consider a refinement of the beckergottlieb transfer we show that a version of the axioms described by becker and schultz uniquely determines the refined transfer for the class of fibrations admitting a reduction to a fiber bundle with compact topological manifold fibers in an appendix we sketch a theory of characteristic classes for fibrations the classes are primary obstructions to finding a compact fiber smoothing
|
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|
[-0.1941089583662055, 0.021024865546695432, -0.1365164386698548, 0.09585069346470144, -0.1414107986558113, -0.19260597366966908, 0.0018801790747432882, 0.3869368046470079, -0.2956722854717594, -0.21470230445844232, 0.11749481153529809, -0.22676645877687202, -0.17814606991278367, 0.2223284514100285, -0.2032795093421425, -0.018412982285751597, 0.07980785013888009, 0.02998003141480203, -0.11521478544961175, -0.237400673044938, 0.4409288355172467, -0.0410028574062708, 0.21370027066984465, 0.0531832435868264, 0.17322124109327972, -0.008507216540136323, 0.008323914258630934, 0.021017925116748357, -0.18749350993280328, 0.16284000425258224, 0.31910239442783805, 0.06068566360551378, 0.17187933964793634, -0.331248796695369, -0.19241326091151614, 0.1764319204950925, 0.06652248057866504, 0.05349676089393125, -0.026992000736330884, -0.2869684794651611, 0.13685751347571196, -0.15019552458239638, -0.16789941741616365, -0.12276721876461684, 0.02893365602014783, 0.01520533227760877, -0.2183371394130066, -0.10104905240840036, 0.13911908162144584, 0.12256309655003296, -0.046847051696458496, 0.014971803189023913, -0.06366538701821929, 0.07072996724377421, -0.034064007124007444, 0.05438189639750382, 0.14063964726299233, -0.08265619675241272, -0.11727796116357912, 0.3687942196869563, -0.09355346256034067, -0.2361880971743546, 0.12515656056565158, -0.05355609632935954, -0.1909678355727044, 0.22149405520848975, 0.07072966465414125, 0.1370354499291883, -0.013875871346211379, 0.09698967508880764, -0.08180227233617572, 0.13107616491818233, 0.07912255698086126, 0.010238222627443557, 0.13358428206017114, 0.1510485804897172, 0.12478795492593546, 0.1421612088383401, -0.0093453425468634, -0.023014494064639998, -0.36351599960778813, -0.23434506290193116, -0.07898706362166251, 0.18649751621570368, -0.0969124331096728, -0.1894281801915155, 0.41578524479113216, -0.0264580611556028, 0.2090372341968443, 0.13385249437223426, 0.23947209603390338, 0.03866085122767489, 0.06764734659147101, 0.02368908773193726, 0.16569841910813074, 0.24868662465907496, 0.0033174658494984142, -0.08338007165165329, -0.09236954091556417, 0.22086404146256378]
|
707.0251
|
Orthogonal functions generalizing Jack polynomials
|
The rational Cherednik algebra $\HH$ is a certain algebra of
differential-reflection operators attached to a complex reflection group $W$.
Each irreducible representation $S^\lambda$ of $W$ corresponds to a standard
module $M(\lambda)$ for $\HH$. This paper deals with the infinite family
$G(r,1,n)$ of complex reflection groups; our goal is to study the standard
modules using a commutative subalgebra $\ttt$ of $\HH$ discovered by Dunkl and
Opdam. In this case, the irreducible $W$-modules are indexed by certain
sequences $\lambda$ of partitions. We first show that $\ttt$ acts in an upper
triangular fashion on each standard module $M(\lambda)$, with eigenvalues
determined by the combinatorics of the set of standard tableaux on $\lambda$.
As a consequence, we construct a basis for $M(\lambda)$ consisting of
orthogonal functions on $\CC^n$ with values in the representation $S^\lambda$.
For $G(1,1,n)$ with $\lambda=(n)$ these functions are the non-symmetric Jack
polynomials. We use intertwining operators to deduce a norm formula for our
orthogonal functions and give an explicit combinatorial description of the
lattice of submodules of $M(\lambda)$ in the case in which the orthogonal
functions are all well-defined.
|
math.RT math.CO
|
the rational cherednik algebra hh is a certain algebra of differentialreflection operators attached to a complex reflection group w each irreducible representation slambda of w corresponds to a standard module mlambda for hh this paper deals with the infinite family gr1n of complex reflection groups our goal is to study the standard modules using a commutative subalgebra ttt of hh discovered by dunkl and opdam in this case the irreducible wmodules are indexed by certain sequences lambda of partitions we first show that ttt acts in an upper triangular fashion on each standard module mlambda with eigenvalues determined by the combinatorics of the set of standard tableaux on lambda as a consequence we construct a basis for mlambda consisting of orthogonal functions on ccn with values in the representation slambda for g11n with lambdan these functions are the nonsymmetric jack polynomials we use intertwining operators to deduce a norm formula for our orthogonal functions and give an explicit combinatorial description of the lattice of submodules of mlambda in the case in which the orthogonal functions are all welldefined
|
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|
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|
707.0252
|
A generic rule that simplifies the derivation of the transformation
equations accounting for the properties of the photon
|
We show that the transformation equation for the tardyon velocity involves
two generic functions which in turn depend on the relative velocity of the
involved reference frames, on the tardyon velocity u and on the polar angle
which define the direction along which the tardyon moves. The same functions
are further involved in the transformation equations for the space-time
coordinates of the same event generated by a moving tardyon and for its
relativistic mass, momentum and energy. Taking the limits of these functions
for u approaching c we obtain exactly the transformation equations for the
space-time coordinates of the same event generated by a photon and for its
momentum and energy. The same procedure works also for the transition from a
plane acoustic wave to an electromagnetic wave.
|
physics.gen-ph
|
we show that the transformation equation for the tardyon velocity involves two generic functions which in turn depend on the relative velocity of the involved reference frames on the tardyon velocity u and on the polar angle which define the direction along which the tardyon moves the same functions are further involved in the transformation equations for the spacetime coordinates of the same event generated by a moving tardyon and for its relativistic mass momentum and energy taking the limits of these functions for u approaching c we obtain exactly the transformation equations for the spacetime coordinates of the same event generated by a photon and for its momentum and energy the same procedure works also for the transition from a plane acoustic wave to an electromagnetic wave
|
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|
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|
707.0253
|
Upsilonium polarization as a touchstone in understanding the proton
dynamics in QCD
|
In the framework of the k_t-factorization approach, the production of
$\Upsilon mesons at the Fermilab Tevatron and CERN LHC is considered, and the
predictions on the spin alignment parameter $\alpha$ are presented. We argue
that measuring the polarization of quarkonium states can serve as a crucial
test discriminating two competing theoretical approaches to parton dynamics in
QCD.
|
hep-ph
|
in the framework of the k_tfactorization approach the production of upsilon mesons at the fermilab tevatron and cern lhc is considered and the predictions on the spin alignment parameter alpha are presented we argue that measuring the polarization of quarkonium states can serve as a crucial test discriminating two competing theoretical approaches to parton dynamics in qcd
|
[['in', 'the', 'framework', 'of', 'the', 'k_tfactorization', 'approach', 'the', 'production', 'of', 'upsilon', 'mesons', 'at', 'the', 'fermilab', 'tevatron', 'and', 'cern', 'lhc', 'is', 'considered', 'and', 'the', 'predictions', 'on', 'the', 'spin', 'alignment', 'parameter', 'alpha', 'are', 'presented', 'we', 'argue', 'that', 'measuring', 'the', 'polarization', 'of', 'quarkonium', 'states', 'can', 'serve', 'as', 'a', 'crucial', 'test', 'discriminating', 'two', 'competing', 'theoretical', 'approaches', 'to', 'parton', 'dynamics', 'in', 'qcd']]
|
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|
707.0254
|
On the validity and breakdown of the Onsager symmetry in mesoscopic
conductors interacting with environments
|
We investigate magnetic-field asymmetries in the linear transport of a
mesoscopic conductor interacting with its environment. Interestingly, we find
that the interaction between the two systems causes an asymmetry only when the
environment is out of equilibrium. We elucidate our general result with the
help of a quantum dot capacitively coupled to a quantum Hall conductor and
discuss the asymmetry dependence on the environment bias and induced dephasing.
|
cond-mat.mes-hall
|
we investigate magneticfield asymmetries in the linear transport of a mesoscopic conductor interacting with its environment interestingly we find that the interaction between the two systems causes an asymmetry only when the environment is out of equilibrium we elucidate our general result with the help of a quantum dot capacitively coupled to a quantum hall conductor and discuss the asymmetry dependence on the environment bias and induced dephasing
|
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|
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|
707.0255
|
Station-Keeping Requirements for Constellations of Free-Flying
Collectors Used for Astronomical Imaging in Space
|
The accuracy requirements on station-keeping for constellations of
free-flying collectors coupled as (future) imaging arrays in space for
astrophysics applications are examined. The basic imaging element of these
arrays is the two-element interferometer. Accurate knowledge of two quantities
is required: the \textit{projected baseline length}, which is the distance
between the two interferometer elements projected on the plane tranverse to the
line of sight to the target; and the \textit{optical path difference}, which is
the difference in the distances from that transverse plane to the beam
combiner. ``Rules-of-thumb'' are determined for the typical accuracy required
on these parameters. The requirement on the projected baseline length is a
\textit{knowledge} requirement and depends on the angular size of the targets
of interest; it is generally at a level of half a meter for typical stellar
targets, decreasing to perhaps a few centimeters only for the widest attainable
fields of view. The requirement on the optical path difference is a
\textit{control} requirement and is much tighter, depending on the bandwidth of
the signal; it is at a level of half a wavelength for narrow (few %) signal
bands, decreasing to $\approx 0.2 \lambda$ for the broadest bandwidths expected
to be useful. Translation of these requirements into engineering requirements
on station-keeping accuracy depends on the specific details of the collector
constellation geometry. Several examples are provided to guide future
application of the criteria presented here. Some implications for the design of
such collector constellations and for the methods used to transform the
information acquired into images are discussed.
|
astro-ph
|
the accuracy requirements on stationkeeping for constellations of freeflying collectors coupled as future imaging arrays in space for astrophysics applications are examined the basic imaging element of these arrays is the twoelement interferometer accurate knowledge of two quantities is required the textitprojected baseline length which is the distance between the two interferometer elements projected on the plane tranverse to the line of sight to the target and the textitoptical path difference which is the difference in the distances from that transverse plane to the beam combiner rulesofthumb are determined for the typical accuracy required on these parameters the requirement on the projected baseline length is a textitknowledge requirement and depends on the angular size of the targets of interest it is generally at a level of half a meter for typical stellar targets decreasing to perhaps a few centimeters only for the widest attainable fields of view the requirement on the optical path difference is a textitcontrol requirement and is much tighter depending on the bandwidth of the signal it is at a level of half a wavelength for narrow few signal bands decreasing to approx 02 lambda for the broadest bandwidths expected to be useful translation of these requirements into engineering requirements on stationkeeping accuracy depends on the specific details of the collector constellation geometry several examples are provided to guide future application of the criteria presented here some implications for the design of such collector constellations and for the methods used to transform the information acquired into images are discussed
|
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|
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|
707.0256
|
BFKL Effects in Azimuthal Angle Correlations of Forward Jets
|
The azimuthal angle correlation of Mueller-Navelet jets at hadron colliders
is studied in the NLO BFKL formalism. We highlight the need of collinear
improvements in the kernel to obtain good convergence properties and we obtain
better fits for the Tevatron data than at LO accuracy. We also estimate these
correlations for larger rapidity differences available at the LHC.
|
hep-ph
|
the azimuthal angle correlation of muellernavelet jets at hadron colliders is studied in the nlo bfkl formalism we highlight the need of collinear improvements in the kernel to obtain good convergence properties and we obtain better fits for the tevatron data than at lo accuracy we also estimate these correlations for larger rapidity differences available at the lhc
|
[['the', 'azimuthal', 'angle', 'correlation', 'of', 'muellernavelet', 'jets', 'at', 'hadron', 'colliders', 'is', 'studied', 'in', 'the', 'nlo', 'bfkl', 'formalism', 'we', 'highlight', 'the', 'need', 'of', 'collinear', 'improvements', 'in', 'the', 'kernel', 'to', 'obtain', 'good', 'convergence', 'properties', 'and', 'we', 'obtain', 'better', 'fits', 'for', 'the', 'tevatron', 'data', 'than', 'at', 'lo', 'accuracy', 'we', 'also', 'estimate', 'these', 'correlations', 'for', 'larger', 'rapidity', 'differences', 'available', 'at', 'the', 'lhc']]
|
[-0.029336537672046185, 0.08520514866465638, -0.17302866251175775, 0.2584219582575566, -0.04104014795980063, -0.08089433056462941, -0.05995696881416671, 0.45079662403541393, -0.17313835111543022, -0.25638138618448686, -0.019291877501708424, -0.38774615725309686, 0.0814719721223308, 0.15799937715175852, 0.07475172172718007, 0.14449451253588858, 0.13624894445569352, -0.074670083885049, -0.15681423832951435, -0.2596455947817143, 0.2698308940463025, 0.09901359092829556, 0.2222685930800849, 0.16944634360421834, 0.08829244865297244, 0.05211636770099144, -0.050803078442876196, -0.04555968060318766, -0.1752509894411497, 0.07112890687482111, 0.3150916935289921, 0.02248136090628546, 0.15821854899921414, -0.34485451466050643, -0.05417777068013775, 0.06040082228016751, 0.17580628905702253, 0.07923595099870501, 0.0013389286247949149, -0.21536250181239228, 0.1146817035523468, -0.233903444827743, -0.17953371230898232, -0.1289957939358107, -0.04602880608932725, -0.037029149879878064, -0.3353149936181204, 0.12363988071517489, -0.031670759929793665, 0.07899651026096323, 0.07090191221153684, -0.222379588297215, -0.06588831303063138, 0.06311839897635169, 0.10011528481745385, 0.09436893291321807, 0.08961315119863841, -0.2115340260397402, -0.18020417287058582, 0.3106429597748251, -0.035242639993094634, -0.15153896481055637, 0.14278281936702994, -0.30196164977126594, -0.17647495981434297, 0.13143525340851267, 0.2618123651803311, 0.05764492970473807, -0.15467217450174664, 0.06938494224771696, 0.02356774801516841, 0.14348417064496155, 0.10169007018979254, 0.11889657569679848, 0.11267307285090973, 0.19017499527926074, 0.038482418621023154, 0.07817439053303979, -0.1380033728973699, -0.07264561633226173, -0.4487578701549049, -0.07647906270251732, -0.10218954604151177, -0.04402471445942426, -0.15688913146105138, -0.03747300172610016, 0.3919442041359585, 0.19337732549596193, 0.2618387070773491, 0.0525281871026703, 0.3442332409001116, 0.08314169582043743, 0.08372841439017191, 0.11575063180925067, 0.3540750464809866, 0.10864815704026741, 0.1959458562979025, -0.2543120586497966, 0.09074585590961165, 0.0717249545750433]
|
707.0257
|
LAMN property for hidden processes: the case of integrated diffusions
|
In this paper we prove the Local Asymptotic Mixed Normality (LAMN) property
for the statistical model given by the observation of local means of a
diffusion process $X$. Our data are given by $ \int_0^1 X_{\frac{s+i}{n}} \dd
\mu (s)$ for $i=0,...,n-1$ and the unknown parameter appears in the diffusion
coefficient of the process $X$ only. Although the data are nor Markovian
neither Gaussian we can write down, with help of Malliavin calculus, an
explicit expression for the log-likelihood of the model, and then study the
asymptotic expansion. We actually find that the asymptotic information of this
model is the same one as for a usual discrete sampling of $X$.
|
math.PR math.ST stat.TH
|
in this paper we prove the local asymptotic mixed normality lamn property for the statistical model given by the observation of local means of a diffusion process x our data are given by int_01 x_fracsin dd mu s for i0n1 and the unknown parameter appears in the diffusion coefficient of the process x only although the data are nor markovian neither gaussian we can write down with help of malliavin calculus an explicit expression for the loglikelihood of the model and then study the asymptotic expansion we actually find that the asymptotic information of this model is the same one as for a usual discrete sampling of x
|
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|
[-0.09450901705658564, 0.06381814673947685, -0.12410066454706467, 0.08411979918244744, -0.05309847822272271, -0.11606788340042222, 0.08655706142132469, 0.34351629382856014, -0.3148680764408606, -0.24348681355070956, 0.12992606514335592, -0.24859593758131113, -0.1292775369618299, 0.14194564404238438, -0.061711788133559924, 0.039028621247952, 0.017731583009491552, 0.09702406523591083, -0.0652479937295693, -0.22090310763286533, 0.31392463462598585, 0.016665346525117475, 0.2489665900269207, -0.0093138894979965, 0.1311109530913011, 0.02010462846923268, -0.04736939389346484, -0.038309777682682254, -0.15568206435815432, 0.10546860788105372, 0.2054080036776316, 0.10561128256442728, 0.2616717189480111, -0.38588202523313603, -0.19677135994370132, 0.14726990840907367, 0.1436039120011594, 0.06354744545895746, 0.006452096707433603, -0.26415050957672614, 0.10460796298564605, -0.1424677637317833, -0.14105287663647378, -0.07864589317449706, 0.006775934987191884, 0.04084824034197362, -0.3608409808948636, 0.11842345727941478, 0.13422323649591011, 0.03794131415702824, -0.01939844265404456, -0.10984539360967728, -0.028683670144088846, 0.08898219636219712, 0.0630417012369023, 0.008830213081311294, 0.07107474947049511, -0.10264360153924604, -0.07561658500838708, 0.3018202915664692, -0.09307546191299686, -0.2403337741490313, 0.12054409175882784, -0.18397182915008292, -0.14046600387203242, 0.10938980428387744, 0.11449411818054768, 0.1437255090063016, -0.19135953516716947, 0.16785563150187954, -0.033051424563141925, 0.12735303665318018, 0.0433346555164119, 0.01390592100643465, 0.11030224802956548, 0.14382622428985206, 0.05163718534651089, 0.11814923783026214, -0.09546187115099528, -0.08766597497083668, -0.3643425887292427, -0.19756837008479228, -0.21201312891207635, 0.08717162263475882, -0.15586305818523782, -0.1693268896350725, 0.3281834302118646, 0.14310739651972534, 0.20763139955189852, 0.08957617605140186, 0.25138344685547054, 0.16907833920097645, -0.019204111282168975, 0.0652046772752414, 0.16083818525603077, 0.12651762887747642, 0.06405081528783688, -0.19910555401430377, 0.13747761354184235, 0.061980549307575204]
|
707.0258
|
Yang-Mills Connections On Orientable and Nonorientable Surfaces
|
In math.SG/0605587, we studied Yang-Mills functional on the space of
connections on a principal G_R-bundle over a closed, connected, nonorientable
surface, where G_R is any compact connected Lie group. In this sequel, we
generalize the discussion in "The Yang-Mills equations over Riemann surfaces"
by Atiyah and Bott, and math.SG/0605587. We obtain explicit descriptions (as
representation varieties) of Morse strata of Yang-Mills functional on
orientable and nonorientable surfaces for non-unitary classical groups SO(n)
and Sp(n). It turns out to be quite different from the unitary case. we use
Laumon and Rapoport's method in "The Langlands lemma and the Betti numbers of
stacks of G-bundles on a curve" to invert the Atiyah-Bott recursion relation,
and write down explicit formulas of rational equivariant Poincar\'{e} series of
the semistable stratum of the space of holomorphic structures on a principal
$SO(n,\bC)$-bundle or a principal $Sp(n,\bC)$-bundle.
|
math.SG math.DG
|
in mathsg0605587 we studied yangmills functional on the space of connections on a principal g_rbundle over a closed connected nonorientable surface where g_r is any compact connected lie group in this sequel we generalize the discussion in the yangmills equations over riemann surfaces by atiyah and bott and mathsg0605587 we obtain explicit descriptions as representation varieties of morse strata of yangmills functional on orientable and nonorientable surfaces for nonunitary classical groups son and spn it turns out to be quite different from the unitary case we use laumon and rapoports method in the langlands lemma and the betti numbers of stacks of gbundles on a curve to invert the atiyahbott recursion relation and write down explicit formulas of rational equivariant poincare series of the semistable stratum of the space of holomorphic structures on a principal sonbcbundle or a principal spnbcbundle
|
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|
[-0.19863995103471316, 0.05131906196614033, -0.14157262376036994, 0.1111596677853698, -0.12524857562132624, -0.13378739829258576, 0.03169621287761673, 0.3187106607313296, -0.258863392425006, -0.211259219941419, 0.0970761342358136, -0.2212030398989541, -0.20963485673619017, 0.22309880817496677, -0.15861786761155627, -0.007737764456212076, 0.009625206301822814, 0.09074194786319537, -0.1440681588571908, -0.30970737292433903, 0.41837924678545835, -0.09365102922571684, 0.24026358503945616, 0.04211375441348116, 0.1199604765174966, 0.03350707073695958, -0.03226046797944539, -0.04586915755357746, -0.12227206506571774, 0.16288694946804264, 0.33781314249247757, 0.003267714819773587, 0.11826334534727259, -0.4555475393713299, -0.16601760051241005, 0.1595882965397757, 0.11527948800140797, 0.0011413099188635597, 0.0741417874649876, -0.28601865841374635, 0.058290177112321, -0.12829147527731066, -0.15641032921023487, -0.11211723622991078, 0.044507104618502644, -0.02661399133746693, -0.15089847396280784, -0.00844012388834424, 0.0638469791060675, 0.1539926510860226, -0.07978032755234571, -0.08747253956884812, -0.11246815619211811, 0.08080275838937499, 0.020133850327606048, 0.06951371137289081, 0.10233608007069621, -0.10208360107664241, -0.0900799626994482, 0.34004334879538684, -0.09693762794599187, -0.2581470977626185, 0.11796646056272812, -0.12859710520428758, -0.20411083033767097, 0.11452959507439675, 0.11335937696536864, 0.19611799659263066, 0.014061514187409585, 0.20767928520260975, -0.12218280744029959, 0.04285962172651858, 0.13884493499671094, -0.09023778271903075, 0.15544478258694897, 0.08521619023504987, 0.08129182322048095, 0.11667098145525374, 0.005053150834195983, -0.057001303306280345, -0.3941284016108335, -0.27716445273705825, -0.11458083169896212, 0.1673144337220757, -0.13090220418571472, -0.18250120928990585, 0.4298103824049346, 0.034066854678563525, 0.17136113389409077, 0.16534200927534543, 0.21425378448497104, 0.036896680715431306, 0.06768256266351177, 0.0713238600353057, 0.09440652759912521, 0.3065944198786573, -0.037795730786564855, -0.13598453157074028, -0.09860561568978062, 0.2544586332723387]
|
707.0259
|
On the affineness of Deligne-Lusztig varieties
|
We prove that the Deligne-Lusztig variety associated to minimal length
elements in any $\d$-conjugacy class of the Weyl group is affine, which was
conjectured by Orlik and Rapoport in \cite{OR}.
|
math.RT
|
we prove that the delignelusztig variety associated to minimal length elements in any dconjugacy class of the weyl group is affine which was conjectured by orlik and rapoport in citeor
|
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|
[-0.19639564832222872, 0.12306169314502642, -0.07175172178138947, 0.014983455431727886, -0.11679755119157248, -0.13251533073469482, -0.02902085182321226, 0.3165528773779756, -0.3317720504028016, -0.19604963343590498, 0.06828913012326791, -0.22549769385107632, -0.21067342881498666, 0.22090572452750698, -0.21403493648716088, 0.015462035794967207, -0.01666227393133309, 0.09977799416359129, -0.08081729892352275, -0.3414588174943266, 0.3959926592892614, -0.039441929295145235, 0.26448016379285477, 0.035165334955371656, 0.10022596411150077, 0.04175963885439881, -0.005390062414366624, 0.004074680233566925, -0.13561326279109223, 0.13124762594314485, 0.34282954037189484, 0.05255141484165757, 0.17627533049932842, -0.33219889917507256, -0.17845795289131589, 0.20449693051391635, 0.09221315149474761, 0.05837613778943517, -0.02304712542461167, -0.2768247165428153, 0.17873935973079041, -0.17480002523496233, -0.22088857982628818, 0.021397571496922393, 0.09737059024387393, -0.004439584461265597, -0.21884789561917042, -0.041897924584818294, 0.10420341947083843, 0.14565401251331486, -0.03152430442900493, -0.07647436487905938, -0.04577667895576049, 0.04184609446032294, 0.0013734923338453318, 0.047472750992867456, 0.037849788393439915, -0.0746979601038941, -0.15687683260004068, 0.3585278355869754, -0.04719117481325721, -0.16936112914619775, 0.12961515744120397, -0.1488547208076664, -0.168596550147852, 0.13068168443338624, 0.04837013980181053, 0.07287020743663969, -0.04704883707494571, 0.2261835001388982, -0.18844328547731556, 0.03581726820818309, 0.11445519543285, -0.036523061563614116, 0.08968531150884669, 0.015985169431901182, 0.02883950646581321, 0.12073886343117418, 0.011444376008825955, 0.01181076316901579, -0.33121923463226394, -0.28614448980781537, -0.13163960216053086, 0.1355232163733835, -0.07591493424491812, -0.14725419904651313, 0.37601542472839355, 0.04366341798469938, 0.14459469220761595, 0.10951125455201315, 0.08725242419489498, 0.03983309129574176, 0.11428992697519474, 0.07604041350363143, 0.12647270266737404, 0.22238169513755188, -0.10807775979026638, -0.2122470293322514, 0.04710811988354243, 0.29925704317103174]
|
707.026
|
Near UV properties of Early-Type Galaxies at z~1
|
We have used spectral fits to SSP-based atmosphere models to derive an
estimate of the average stellar age for an almost complete sample of 15
Early-Type Galaxies (ETG) at 0.88<z<1.3. The results are in only partial
agreement with the age estimates previously obtained for the same objects from
an analysis of the M/L_B ratio, derived from the Fundamental Plane (FP)
parameters. In particular spectral fits seem to underestimate the age of the
most luminous ETG, and therefore do not reproduce the downsizing effect, which
is clear for the FP ages. We also analyse the relationship between the
spectral-fit ages and various near-UV spectral indices.
|
astro-ph
|
we have used spectral fits to sspbased atmosphere models to derive an estimate of the average stellar age for an almost complete sample of 15 earlytype galaxies etg at 088z13 the results are in only partial agreement with the age estimates previously obtained for the same objects from an analysis of the ml_b ratio derived from the fundamental plane fp parameters in particular spectral fits seem to underestimate the age of the most luminous etg and therefore do not reproduce the downsizing effect which is clear for the fp ages we also analyse the relationship between the spectralfit ages and various nearuv spectral indices
|
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|
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|
707.0261
|
Photons and Dileptons at LHC
|
We discuss real and virtual photon sources in heavy ion collisions and
present results for dilepton yields in Pb+Pb collisions at the LHC at
intermediate and large transverse momentum p_T.
|
nucl-th
|
we discuss real and virtual photon sources in heavy ion collisions and present results for dilepton yields in pbpb collisions at the lhc at intermediate and large transverse momentum p_t
|
[['we', 'discuss', 'real', 'and', 'virtual', 'photon', 'sources', 'in', 'heavy', 'ion', 'collisions', 'and', 'present', 'results', 'for', 'dilepton', 'yields', 'in', 'pbpb', 'collisions', 'at', 'the', 'lhc', 'at', 'intermediate', 'and', 'large', 'transverse', 'momentum', 'p_t']]
|
[-0.05110916780928771, 0.3450425728379438, -0.14317389869441588, 0.16416254558910925, 0.08411185046037038, -0.11378990771869818, -0.12389945720788091, 0.38792172918717066, -0.1453758616000414, -0.2735112117603421, -0.14380550296821942, -0.40011694316441815, 0.215043019130826, 0.19638139394422371, 0.07149587753228843, 0.11777752191992477, 0.2273599129791061, -0.05013557734588782, 0.007827904168516397, -0.1620288151782006, 0.32571220174431803, 0.09884118751312296, 0.18563780533149837, 0.2814825853953759, 0.1383776939784487, 0.14896488135370115, -0.04646634502957265, -0.04291655073563258, -0.10035965430239836, 0.02114918562777651, 0.36945671687523524, -0.017417356682320435, 0.0908084316800038, -0.30988242427508034, -0.024378179293125867, 0.105365783876429, 0.19073398352290194, 0.15590845762441555, -0.16596001296614607, -0.2233592494080464, 0.18259894823034603, -0.2706400295409063, -0.15058509968221187, -0.056019605199495955, -0.01118585445607702, 0.006533549353480339, -0.33696082391155263, 0.16881012090792258, -0.09149786919976274, 0.14324085482706625, 0.004229525849223137, -0.22523008218655985, -0.09905362368250886, -0.06739875053366025, 0.10077127336213985, 0.05826522428542376, 0.20569889714630943, -0.19249106801580637, -0.220897942284743, 0.3637026180823644, 0.039621228755762176, -0.09542757552117109, 0.25796202880640823, -0.2791628827651342, -0.1902035454598566, 0.15794221442192793, 0.404923500182728, 0.07526980563998223, -0.13272724042957026, 0.05419150082743727, 0.031068878589818875, 0.10084647433698896, 0.12654335346693793, 0.17273550983518363, 0.1534662480155627, 0.16868509358416, -0.04396273560511569, 0.12763867097334394, -0.1865314941232403, -0.04329323219135404, -0.49035821110010147, -0.11879499054824312, -0.10742402343700329, 0.02910589650273323, -0.10559444734681164, 0.0296739114933492, 0.34925713495661814, 0.0860704829916358, 0.36822683130546163, -0.02399611067182074, 0.35750432188312214, 0.11045350680748621, 0.020145368793358407, 0.18363880816226205, 0.2698676697909832, 0.06713065269092719, 0.3639329074261089, -0.2495485944673419, -0.02643953120956818, 0.04754406400024891]
|
707.0262
|
Investigation of a0-f0 mixing
|
We investigate the isospin-violating mixing of the light scalar mesons
a0(980) and f0(980) within the unitarized chiral approach. Isospin-violating
effects are considered to leading order in the quark mass differences and
electromagnetism. In this approach both mesons are generated through
meson-meson dynamics. Our results provide a description of the mixing
phenomenon within a framework consistent with chiral symmetry and unitarity,
where these resonances are not predominantly q q-bar states. Amongst the
possible experimental signals, we discuss observable consequences for the
reaction J/Psi -> phi pi0 eta in detail. In particular we demonstrate that the
effect of a0-f0 mixing is by far the most important isospin-breaking effect in
the resonance region and can indeed be extracted from experiment.
|
hep-ph hep-ex nucl-th
|
we investigate the isospinviolating mixing of the light scalar mesons a0980 and f0980 within the unitarized chiral approach isospinviolating effects are considered to leading order in the quark mass differences and electromagnetism in this approach both mesons are generated through mesonmeson dynamics our results provide a description of the mixing phenomenon within a framework consistent with chiral symmetry and unitarity where these resonances are not predominantly q qbar states amongst the possible experimental signals we discuss observable consequences for the reaction jpsi phi pi0 eta in detail in particular we demonstrate that the effect of a0f0 mixing is by far the most important isospinbreaking effect in the resonance region and can indeed be extracted from experiment
|
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|
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|
707.0263
|
Review of Bu leptonic decays
|
This paper reviews the status of searches and measurements of Bu leptonic
decays, concentrating on the most recent results obtained at B-factories. We
will describe studies of decays of the type B+ -> ell+ nu and B+ -> ell+ nu
gamma.
|
hep-ex
|
this paper reviews the status of searches and measurements of bu leptonic decays concentrating on the most recent results obtained at bfactories we will describe studies of decays of the type b ell nu and b ell nu gamma
|
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|
[-0.1525658764040623, 0.22790594837174583, -0.018256500649910707, -0.004547165578398376, -0.08403936783090615, -0.19611447187474904, 0.11787338055467281, 0.22969188297597262, -0.21820773465188745, -0.18841191567480564, 0.0238969011638218, -0.38877286568570596, -0.021166796294542458, 0.18988883925171998, 0.0772585656780463, 0.047983505825798675, 0.14521428173742232, 0.025005159565271474, -0.09164663260945907, -0.1847267952055121, 0.2513765321137049, 0.053715319969715215, 0.15982176521076605, 0.060180870744471364, -0.10757903427554247, -0.007952015046985486, -0.21983292270212984, -0.058375656604766846, -0.3336607261728018, 0.060230953696494303, 0.18127248985454059, 0.1802704592521947, 0.1601318325369786, -0.30456608321326667, -0.04744063570904426, 0.1868617003544783, 0.16073727732500395, -0.009443391424914202, -0.02210625940754723, -0.35151593828908145, 0.16031622655021074, -0.11708855977616249, -0.06589435652280465, -0.05192963466143761, 0.10860982150412522, -0.03853107126763998, -0.3311687187076761, 0.05392181940185718, 0.01647662612585685, 0.03558701465431696, 0.0036316115994197437, -0.3226175549893807, 0.08016506389070016, 0.05637340739560433, 0.18459613014681217, 0.10089899347617458, 0.14255204568736446, -0.1928651374227439, -0.24415609837533572, 0.35132709097785825, -0.10063745890958951, -0.12629730951709625, 0.2129414594756105, -0.2989174714550758, -0.23716953091132334, 0.08337767341007025, 0.23117409042345408, 0.10092629531684977, -0.11736488977494912, 0.2083835237605784, -0.05060592003596517, 0.06239665294877994, 0.016172978662861846, 0.0827119102080663, 0.15786788786928624, 0.19325816775791538, -0.048750618687615946, 0.016529914212580293, -0.1504934075443695, 0.09469059446396735, -0.4499807411279434, -0.124728406755588, -0.1177011020660687, 0.14324829182945764, 0.06104831304475784, -0.008505286863790108, 0.4178994571169217, 0.04551198752895475, 0.24947513219637749, 0.02451961836180626, 0.2605897421017289, 0.0316625802915018, -0.03402421476307492, 0.07134092747209927, 0.2688785109233159, 0.14082557607728702, 0.14031095137724128, -0.2406676417359939, 0.014140202607123706, 0.02179057738528802]
|
707.0264
|
Magnetar-energized supernova explosions and GRB-jets
|
In this paper we report on the early evolution of core-collapse supernova
explosion following the birth of a magnetar with the dipolar magnetic field of
B=10^{15}G and the rotational period of 2ms, which was studied by means of
axisymmetric general relativistic MHD simulations. The numerical models exhibit
highly collimated magnetically-driven jets very early on. The jets are
super-Alfvenic but remain sub-fast until the end of the simulations (t=0.2s).
The power released in the jets is about 3x10^{50}erg/s which implies the
spin-down time of ~37s. The total rotational energy of the magnetar,
E~10^{52}erg, is sufficient to drive hypernova but it is not clear as to how
large a fraction of this energy can be transfered to the stellar envelope.
Given the observed propagation speed of the jets, v_p~0.17c, they are expected
to traverse the progenitor in few seconds and after this most of the released
rotational energy would be simply carried away by these jets into the
surrounding space. Our results provide the first more or less self-consistent
numerical model of a central engine capable of producing, in the supernova
setting and on a long-term basis, collimated jets with sufficient power to
explain long duration GRBs and their afterglows. Although the flow speed of our
jets is relatively low, v_j~0.5c$, the cooling of proto-neutron star will
eventually result in much higher magnetization of its magnetospheres and
ultra-relativistic asymptotic speeds of the jets. Given the relatively long
cooling time-scale we still expect the jets to be only weakly relativistic by
the time of break out. This leads to a model of GRB jets with systematic
longitudinal variation of Lorentz factor which may have specific observational
signatures both in the prompt and the afterglow emission.
|
astro-ph
|
in this paper we report on the early evolution of corecollapse supernova explosion following the birth of a magnetar with the dipolar magnetic field of b1015g and the rotational period of 2ms which was studied by means of axisymmetric general relativistic mhd simulations the numerical models exhibit highly collimated magneticallydriven jets very early on the jets are superalfvenic but remain subfast until the end of the simulations t02s the power released in the jets is about 3x1050ergs which implies the spindown time of 37s the total rotational energy of the magnetar e1052erg is sufficient to drive hypernova but it is not clear as to how large a fraction of this energy can be transfered to the stellar envelope given the observed propagation speed of the jets v_p017c they are expected to traverse the progenitor in few seconds and after this most of the released rotational energy would be simply carried away by these jets into the surrounding space our results provide the first more or less selfconsistent numerical model of a central engine capable of producing in the supernova setting and on a longterm basis collimated jets with sufficient power to explain long duration grbs and their afterglows although the flow speed of our jets is relatively low v_j05c the cooling of protoneutron star will eventually result in much higher magnetization of its magnetospheres and ultrarelativistic asymptotic speeds of the jets given the relatively long cooling timescale we still expect the jets to be only weakly relativistic by the time of break out this leads to a model of grb jets with systematic longitudinal variation of lorentz factor which may have specific observational signatures both in the prompt and the afterglow emission
|
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|
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|
707.0265
|
Long term ordering kinetics of the two dimensional q-state Potts model
|
We studied the non-equilibrium dynamics of the q-state Potts model in the
square lattice, after a quench to sub-critical temperatures. By means of a
continuous time Monte Carlo algorithm (non-conserved order parameter dynamics)
we analyzed the long term behavior of the energy and relaxation time for a wide
range of quench temperatures and system sizes. For q>4 we found the existence
of different dynamical regimes, according to quench temperature range. At low
(but finite) temperatures and very long times the Lifshitz-Allen-Cahn domain
growth behavior is interrupted with finite probability when the system stuck in
highly symmetric non-equilibrium metastable states, which induce activation in
the domain growth, in agreement with early predictions of Lifshitz [JETP 42,
1354 (1962)]. Moreover, if the temperature is very low, the system always gets
stuck at short times in a highly disordered metastable states with finite life
time, which have been recently identified as glassy states. The finite size
scaling properties of the different relaxation times involved, as well as their
temperature dependency are analyzed in detail.
|
cond-mat.stat-mech
|
we studied the nonequilibrium dynamics of the qstate potts model in the square lattice after a quench to subcritical temperatures by means of a continuous time monte carlo algorithm nonconserved order parameter dynamics we analyzed the long term behavior of the energy and relaxation time for a wide range of quench temperatures and system sizes for q4 we found the existence of different dynamical regimes according to quench temperature range at low but finite temperatures and very long times the lifshitzallencahn domain growth behavior is interrupted with finite probability when the system stuck in highly symmetric nonequilibrium metastable states which induce activation in the domain growth in agreement with early predictions of lifshitz jetp 42 1354 1962 moreover if the temperature is very low the system always gets stuck at short times in a highly disordered metastable states with finite life time which have been recently identified as glassy states the finite size scaling properties of the different relaxation times involved as well as their temperature dependency are analyzed in detail
|
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|
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|
707.0266
|
Increasing entanglement through engineered disorder in the random Ising
chain
|
The ground state entanglement entropy between block of sites in the random
Ising chain is studied by means of the Von Neumann entropy. We show that in
presence of strong correlations between the disordered couplings and local
magnetic fields the entanglement increases and becomes larger than in the
ordered case. The different behavior with respect to the uncorrelated
disordered model is due to the drastic change of the ground state properties.
The same result holds also for the random 3-state quantum Potts model.
|
cond-mat.other quant-ph
|
the ground state entanglement entropy between block of sites in the random ising chain is studied by means of the von neumann entropy we show that in presence of strong correlations between the disordered couplings and local magnetic fields the entanglement increases and becomes larger than in the ordered case the different behavior with respect to the uncorrelated disordered model is due to the drastic change of the ground state properties the same result holds also for the random 3state quantum potts model
|
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|
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|
707.0267
|
Quantum Attractor Flows
|
Motivated by the interpretation of the Ooguri-Strominger-Vafa conjecture as a
holographic correspondence in the mini-superspace approximation, we study the
radial quantization of stationary, spherically symmetric black holes in four
dimensions. A key ingredient is the classical equivalence between the radial
evolution equation and geodesic motion of a fiducial particle on the moduli
space M^*_3 of the three-dimensional theory after reduction along the time
direction. In the case of N=2 supergravity, M^*_3 is a para-quaternionic-Kahler
manifold; in this case, we show that BPS black holes correspond to a particular
class of geodesics which lift holomorphically to the twistor space Z of M^*_3,
and identify Z as the BPS phase space. We give a natural quantization of the
BPS phase space in terms of the sheaf cohomology of Z, and compute the exact
wave function of a BPS black hole with fixed electric and magnetic charges in
this framework. We comment on the relation to the topological string amplitude,
extensions to N>2 supergravity theories, and applications to automorphic black
hole partition functions.
|
hep-th gr-qc
|
motivated by the interpretation of the ooguristromingervafa conjecture as a holographic correspondence in the minisuperspace approximation we study the radial quantization of stationary spherically symmetric black holes in four dimensions a key ingredient is the classical equivalence between the radial evolution equation and geodesic motion of a fiducial particle on the moduli space m_3 of the threedimensional theory after reduction along the time direction in the case of n2 supergravity m_3 is a paraquaternionickahler manifold in this case we show that bps black holes correspond to a particular class of geodesics which lift holomorphically to the twistor space z of m_3 and identify z as the bps phase space we give a natural quantization of the bps phase space in terms of the sheaf cohomology of z and compute the exact wave function of a bps black hole with fixed electric and magnetic charges in this framework we comment on the relation to the topological string amplitude extensions to n2 supergravity theories and applications to automorphic black hole partition functions
|
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|
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|
707.0268
|
Quantum Imaging
|
One of the most surprising consequences of quantum mechanics is the
entanglement of two or more distant particles. Although questions regarding
fundamental issues of quantum theory still exist, quantum entanglement has
started to play important roles in practical engineering applications. Quantum
imaging is one of these exciting areas. Quantum imaging has demonstrated two
peculiar features: (1) reproducing "ghost" images in a "nonlocal" manner, and
(2) enhancing the spatial resolution of imaging beyond the diffraction limit.
In this article, we start with the review of classical imaging to establish the
basic concepts and formalisms of imaging. We then analyze two-photon imaging
with particular emphasis on the physics of spatial resolution enhancement and
the "ghost" imaging phenomenon.
|
quant-ph
|
one of the most surprising consequences of quantum mechanics is the entanglement of two or more distant particles although questions regarding fundamental issues of quantum theory still exist quantum entanglement has started to play important roles in practical engineering applications quantum imaging is one of these exciting areas quantum imaging has demonstrated two peculiar features 1 reproducing ghost images in a nonlocal manner and 2 enhancing the spatial resolution of imaging beyond the diffraction limit in this article we start with the review of classical imaging to establish the basic concepts and formalisms of imaging we then analyze twophoton imaging with particular emphasis on the physics of spatial resolution enhancement and the ghost imaging phenomenon
|
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|
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|
707.0269
|
Star formation in young star cluster NGC 1893
|
We present a comprehensive multi-wavelength study of the star-forming region
NGC 1893 to explore the effects of massive stars on low-mass star formation.
Using near-infrared colours, slitless spectroscopy and narrow-band $H\alpha$
photometry in the cluster region we have identified candidate young stellar
objects (YSOs) distributed in a pattern from the cluster to one of the nearby
nebulae Sim 129. The $V, (V-I)$ colour-magnitude diagram of the YSOs indicates
that majority of these objects have ages between 1 to 5 Myr. The spread in the
ages of the YSOs may indicate a non-coeval star formation in the cluster. The
slope of the KLF for the cluster is estimated to be $0.34\pm0.07$, which agrees
well with the average value ($\sim 0.4$) reported for young clusters. For the
entire observed mass range $0.6 < M/M_\odot \le 17.7$ the value of the slope of
the initial mass function, $`\Gamma$', comes out to be $-1.27\pm0.08$, which is
in agreement with the Salpeter value of -1.35 in the solar neighborhood.
However, the value of $`\Gamma$' for PMS phase stars (mass range $0.6 <
M/M_\odot \le 2.0$) is found to be $-0.88\pm0.09$ which is shallower than the
value ($-1.71\pm0.20$) obtained for MS stars having mass range $2.5 < M/M_\odot
\le 17.7$ indicating a break in the slope of the mass function at $\sim 2
M_\odot$. Estimated $`\Gamma$' values indicate an effect of mass segregation
for main-sequence stars, in the sense that massive stars are preferentially
located towards the cluster center. The estimated dynamical evolution time is
found to be greater than the age of the cluster, therefore the observed mass
segregation in the cluster may be the imprint of the star formation process.
There is evidence for triggered star formation in the region, which seems to
govern initial morphology of the cluster.
|
astro-ph
|
we present a comprehensive multiwavelength study of the starforming region ngc 1893 to explore the effects of massive stars on lowmass star formation using nearinfrared colours slitless spectroscopy and narrowband halpha photometry in the cluster region we have identified candidate young stellar objects ysos distributed in a pattern from the cluster to one of the nearby nebulae sim 129 the v vi colourmagnitude diagram of the ysos indicates that majority of these objects have ages between 1 to 5 myr the spread in the ages of the ysos may indicate a noncoeval star formation in the cluster the slope of the klf for the cluster is estimated to be 034pm007 which agrees well with the average value sim 04 reported for young clusters for the entire observed mass range 06 mm_odot le 177 the value of the slope of the initial mass function gamma comes out to be 127pm008 which is in agreement with the salpeter value of 135 in the solar neighborhood however the value of gamma for pms phase stars mass range 06 mm_odot le 20 is found to be 088pm009 which is shallower than the value 171pm020 obtained for ms stars having mass range 25 mm_odot le 177 indicating a break in the slope of the mass function at sim 2 m_odot estimated gamma values indicate an effect of mass segregation for mainsequence stars in the sense that massive stars are preferentially located towards the cluster center the estimated dynamical evolution time is found to be greater than the age of the cluster therefore the observed mass segregation in the cluster may be the imprint of the star formation process there is evidence for triggered star formation in the region which seems to govern initial morphology of the cluster
|
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|
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|
707.027
|
The Sagnac effect in superfluids
|
We comment on the interpretation of absolute rotation measurements with
superfluids, which involve the Sagnac effect. This effect, first observed in
rotating optical interferometers, has now been seen in a host of different
physical systems, ranging from atomic clocks to electrons, neutrons, atomic
beams, ... We show that the time-honored explanation of this effect based on
general relativity provides a common explanation for all these systems,
including superfluids, in contradistinction with the views expressed in a
recent review article.
|
gr-qc cond-mat.other
|
we comment on the interpretation of absolute rotation measurements with superfluids which involve the sagnac effect this effect first observed in rotating optical interferometers has now been seen in a host of different physical systems ranging from atomic clocks to electrons neutrons atomic beams we show that the timehonored explanation of this effect based on general relativity provides a common explanation for all these systems including superfluids in contradistinction with the views expressed in a recent review article
|
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|
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|
707.0271
|
Maximum Likelihood Estimator for Hidden Markov Models in continuous time
|
The paper studies large sample asymptotic properties of the Maximum
Likelihood Estimator (MLE) for the parameter of a continuous time Markov chain,
observed in white noise. Using the method of weak convergence of likelihoods
due to I.Ibragimov and R.Khasminskii, consistency, asymptotic normality and
convergence of moments are established for MLE under certain strong ergodicity
conditions of the chain.
|
math.PR math.ST stat.TH
|
the paper studies large sample asymptotic properties of the maximum likelihood estimator mle for the parameter of a continuous time markov chain observed in white noise using the method of weak convergence of likelihoods due to iibragimov and rkhasminskii consistency asymptotic normality and convergence of moments are established for mle under certain strong ergodicity conditions of the chain
|
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|
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|
707.0272
|
Solitary wave dynamics in time-dependent potentials
|
We rigorously study the long time dynamics of solitary wave solutions of the
nonlinear Schr\"odinger equation in {\it time-dependent} external potentials.
To set the stage, we first establish the well-posedness of the Cauchy problem
for a generalized nonautonomous nonlinear Schr\"odinger equation. We then show
that in the {\it space-adiabatic} regime where the external potential varies
slowly in space compared to the size of the soliton, the dynamics of the center
of the soliton is described by Hamilton's equations, plus terms due to
radiation damping. We finally remark on two physical applications of our
analysis. The first is adiabatic transportation of solitons, and the second is
Mathieu instability of trapped solitons due to time-periodic perturbations.
|
math-ph math.MP
|
we rigorously study the long time dynamics of solitary wave solutions of the nonlinear schrodinger equation in it timedependent external potentials to set the stage we first establish the wellposedness of the cauchy problem for a generalized nonautonomous nonlinear schrodinger equation we then show that in the it spaceadiabatic regime where the external potential varies slowly in space compared to the size of the soliton the dynamics of the center of the soliton is described by hamiltons equations plus terms due to radiation damping we finally remark on two physical applications of our analysis the first is adiabatic transportation of solitons and the second is mathieu instability of trapped solitons due to timeperiodic perturbations
|
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|
[-0.17403149320498892, 0.09267816862516236, -0.07844278705714826, 0.07154250313964951, -0.06156942575532747, -0.0812105043799404, -0.042959555746628006, 0.290189527751257, -0.3004726848908161, -0.21487962829537297, 0.11549077016707886, -0.28616101675454464, -0.1798963786854425, 0.1828928120197369, 0.0010466628530258803, 0.09414435575487451, 0.04572008587746767, 0.031059776763676814, -0.03027230932728567, -0.21402347013517692, 0.3817170842268847, -0.00505539019726903, 0.2306267069775219, 0.027747028654343205, 0.10335141225521893, -0.006804980666442006, 0.023260527127013916, -0.039904271608081715, -0.16857264871667435, 0.040870395624854915, 0.18390715372247782, 0.03851954587081676, 0.3142488400468178, -0.4589365259172362, -0.25233452370913145, 0.09945183441761815, 0.1601283782766315, 0.18726311478633106, -0.026982959356820702, -0.33900843526588004, 0.024223372001168236, -0.12446176958384744, -0.2410272596926804, -0.05591444595177707, 0.0807440717982357, 0.10884341697020684, -0.22711200635316536, 0.12814378212185643, 0.07718750655553058, -0.03270716792413671, -0.1830177574986265, 0.010138305069535579, -0.046237680141961106, 0.03879916229644757, 0.07704181748589403, -0.0012479136726541217, 0.06766936171538475, -0.13623863938999803, -0.06450073363380956, 0.40195388284822303, -0.14183668565391072, -0.2330883082753995, 0.15304723350722302, -0.11923915872415691, -0.057685601508669686, 0.11235248486168291, 0.19786619939923025, 0.13314364161015602, -0.11718324656810677, 0.1026663170845208, -0.009203979565650673, 0.15784492914916196, 0.12321990992253025, -0.008527733169071246, 0.11631703313864898, 0.17670440427109338, 0.08958674252458047, 0.16593815341005674, -0.02121113763056009, -0.15540653336466403, -0.3351009411312509, -0.11778072620693006, -0.17948313890711257, 0.08051498209903928, -0.08407592697244183, -0.16558711200527715, 0.4361411745893859, 0.1433334494042292, 0.13313168809308032, 0.016020776551796876, 0.25990224824483066, 0.22207648284631687, -0.008585813550254036, 0.09225828821051932, 0.26832991765746683, 0.1752970260751777, 0.15775710885543703, -0.2999121993575899, -0.06483514000776044, 0.097647899761796]
|
707.0273
|
Quantum gravity and the Coulomb potential
|
We apply a singularity resolution technique utilized in loop quantum gravity
to the polymer representation of quantum mechanics on R with the singular
-1/|x| potential. On an equispaced lattice, the resulting eigenvalue problem is
identical to a finite difference approximation of the Schrodinger equation. We
find numerically that the antisymmetric sector has an energy spectrum that
converges to the usual Coulomb spectrum as the lattice spacing is reduced. For
the symmetric sector, in contrast, the effect of the lattice spacing is similar
to that of a continuum self-adjointness boundary condition at x=0, and its
effect on the ground state is significant even if the spacing is much below the
Bohr radius. Boundary conditions at the singularity thus have a significant
effect on the polymer quantization spectrum even after the singularity has been
regularized.
|
gr-qc
|
we apply a singularity resolution technique utilized in loop quantum gravity to the polymer representation of quantum mechanics on r with the singular 1x potential on an equispaced lattice the resulting eigenvalue problem is identical to a finite difference approximation of the schrodinger equation we find numerically that the antisymmetric sector has an energy spectrum that converges to the usual coulomb spectrum as the lattice spacing is reduced for the symmetric sector in contrast the effect of the lattice spacing is similar to that of a continuum selfadjointness boundary condition at x0 and its effect on the ground state is significant even if the spacing is much below the bohr radius boundary conditions at the singularity thus have a significant effect on the polymer quantization spectrum even after the singularity has been regularized
|
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|
[-0.12976565156692177, 0.11843638636256722, -0.12696723372122287, 0.059722090214385855, -0.04618444723511269, -0.14439524593587993, -0.005468294630177263, 0.36314022816941705, -0.2539335827280144, -0.20701993338385583, 0.11123788165439732, -0.3182235402370194, -0.09704620879374556, 0.11174645819666243, -0.02945376163054454, 0.05277499283403088, 0.07370773968776982, 0.09882728005514334, -0.09954440398876996, -0.207300189761725, 0.3344721583005293, 0.08042405024205887, 0.2774720630675022, 0.1148479238250538, 0.07661249862346602, -0.0073005383242537875, 0.11165039399568748, 0.01799480876136095, -0.13350403180455964, 0.05392215519100148, 0.15991939372502098, -0.01984123328413562, 0.25960717756385193, -0.39877651302017886, -0.21982380876639732, 0.11185206305865843, 0.14671304151135728, 0.12654178791077234, 0.0025636635027489717, -0.2463731130346992, 0.10190582444499198, -0.14289783354309438, -0.18391001767906032, -0.019496572834152476, 0.02744215318961139, -0.08190711309321057, -0.2527683148295374, 0.10778435412094109, 0.039420303487730096, 0.03684423973125623, -0.053492456381349245, -0.12243629243098815, -0.03461155892678894, 0.10142346015690189, 0.033888714260218625, 0.03266739305739004, 0.09103152464683119, -0.12186230872442624, -0.05579330205490211, 0.4058445646459083, -0.06967540174596627, -0.21984492940478084, 0.12400955542277797, -0.1661055033214222, -0.0765279800617101, 0.15500734003148692, 0.09379064200684092, 0.09457222787187175, -0.08010713124815795, 0.17657912121271657, -0.03441329360711984, 0.18130025686958762, 0.09406517054605529, 0.023564232915947985, 0.20521003505060995, 0.12350205344820213, 0.11853198352605945, 0.13902990067643778, -0.0851175979837159, -0.1417067614208935, -0.3048468043509507, -0.11233346283968006, -0.24494568869135433, 0.09473063708528091, -0.11069552061186064, -0.2084769106547075, 0.379015933802129, 0.10880063132635016, 0.16415890239186137, 0.03232941365471684, 0.2583328130956095, 0.19628444944483867, 0.08034452275352034, 0.0174676449172885, 0.2438330474568713, 0.15702393236114903, 0.0999243825838614, -0.29674926836785853, -0.03303438343310771, 0.0993435470163262]
|
707.0274
|
QCD and spin effects in black hole airshowers
|
In models with large extra dimensions, black holes may be produced in
high-energy particle collisions. We revisit the physics of black hole formation
in extensive airshowers from ultrahigh-energy cosmic rays, focusing on
collisional QCD and black hole emissivity effects. New results for rotating
black holes are presented. Monte Carlo simulations show that QCD effects and
black hole spin produce no observable signatures in airshowers. These results
further confirm that the main characteristics of black hole-induced airshowers
do not depend on the fine details of micro black hole models.
|
hep-ph astro-ph gr-qc hep-th
|
in models with large extra dimensions black holes may be produced in highenergy particle collisions we revisit the physics of black hole formation in extensive airshowers from ultrahighenergy cosmic rays focusing on collisional qcd and black hole emissivity effects new results for rotating black holes are presented monte carlo simulations show that qcd effects and black hole spin produce no observable signatures in airshowers these results further confirm that the main characteristics of black holeinduced airshowers do not depend on the fine details of micro black hole models
|
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|
[-0.07674037903250958, 0.2053304659123321, -0.0664881693453274, 0.22834304088345644, -0.057897821550299836, -0.08531178101905178, -0.027918819507414646, 0.3713412963234904, -0.11338307720143348, -0.3340390877459537, 0.046718512746420776, -0.3835472213951024, -0.03178753795906563, 0.24243856678367592, 0.01545312213288112, 0.015987279802423225, 0.09223176364321262, -0.08780624871327415, -0.07078416071387685, -0.19743263715116138, 0.33690215193730016, 0.20507124585194766, 0.17357435534623536, 0.06895569039095956, 0.05231338028203358, -0.024051164557353, -0.04628141986375505, 0.034603648988360707, -0.18944378546786372, 0.007212931567086012, 0.17754667182825043, 0.1051217684712769, 0.12055815146727995, -0.4723482033745809, -0.2757585515183481, 0.07709719783055004, 0.1655518819779073, 0.16539633655073968, -0.2048624035060956, -0.2576550444672731, 0.07910137483850121, -0.24379936543250966, -0.14044970317362723, -0.037746985638725826, -0.029903184230947358, 0.014119887917279977, -0.18670548376923596, 0.10982813067543744, 0.04401602214321346, -0.08159210880032995, -0.09004072762962262, -0.08819077621658587, -0.06585025028008121, 0.053980701572568665, 0.16025122664524877, -0.011836421601897613, 0.2533357935290868, -0.09919219098016831, -0.24299140121597287, 0.3413373745596883, -0.017651329496981238, -0.14062295050825924, 0.22454592051640662, -0.33302050680768763, -0.18465324006551367, 0.16724430161147294, 0.2287484609352594, 0.2009933769692328, -0.14522704673634673, 0.10009227235224732, 0.0274285124826499, 0.20514723000285978, 0.08493662456749007, 0.07968263881974219, 0.47659602837467735, 0.1507990094092251, -0.067636163488549, 0.09769711648881309, -0.08896392944999124, -0.06301614165898752, -0.2889553762930022, -0.09468758375574411, -0.16891328760274602, 0.12811035791624323, -0.1635729590353466, -0.1733102321112793, 0.284280613720925, 0.16845250262651296, 0.16460821758532387, -0.07133896466852589, 0.2419859237631747, -0.01332383542004126, -0.0027970265126152135, 0.12606469784143634, 0.37441092770843004, 0.08795805034143003, 0.1313634283777157, -0.27207078780735505, -0.03854643722297624, 0.09765052643541078]
|
707.0275
|
Global QCD Analysis and Collider Phenomenology--CTEQ
|
An overview is given of recent progress on a variety of fronts in the global
QCD analysis of the parton structure of the nucleon and its implication for
collider phenomenology, carried out by various subgroups of the CTEQ
collaboration.
|
hep-ph
|
an overview is given of recent progress on a variety of fronts in the global qcd analysis of the parton structure of the nucleon and its implication for collider phenomenology carried out by various subgroups of the cteq collaboration
|
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|
[-0.11725318379318103, 0.09510936692263036, -0.16745677129484904, 0.0676475025098532, -0.06312174412111442, 0.04411024827128037, 0.023899704337311097, 0.3445100581798798, -0.20252174912736967, -0.23974176147618356, 0.10044640332209663, -0.28507298942750847, -0.0600005950874243, 0.19090251008478495, 0.09033853973811254, 0.12294852251085477, 0.10089401974796484, -0.009929893789096521, -0.08535970162409239, -0.24521907303744975, 0.3774259312030597, 0.12641967732745868, 0.26240435195489764, 0.17162373420806268, 0.08148939954713942, 0.034050736719599135, -0.1484598313482144, -0.019145752682398338, -0.12204984267457174, 0.13755053718789265, 0.24069686921743247, 0.16173144388131988, 0.1959509983814011, -0.43563778550387955, -0.17550440216198182, 0.07417159749624821, 0.10009390004098606, 0.062361183552405774, -0.09896123608968292, -0.32405466815600026, 0.07285669394649374, -0.2737889553253085, -0.16746066024717995, -0.08364319063436526, 0.021410399665817235, 0.018095237370102834, -0.20076672882826713, -0.00977327741491489, -0.005969779064448981, 0.12107368974158397, 0.023775098078215543, -0.22283555500400373, -0.014582334662405536, 0.04812092664770973, 0.1215103005644125, 0.0942426730807011, 0.11597685501552545, -0.27143641146353614, -0.189848388139254, 0.40780563404162723, 0.013383102459976306, -0.1108537602942819, 0.13758409326711002, -0.18496186113080534, -0.20482482455479792, 0.10675233336261068, 0.22094610111358073, 0.06628605484580383, -0.1602539325816533, 0.15511675756753016, -0.1021927235624156, 0.1218323002402217, 0.031021763522846576, 0.02852490496559021, 0.24800404407179508, 0.27700699727313643, 0.017020304603740957, 0.07666133582974091, -0.01696415442095783, -0.09958200949506882, -0.4044485681523115, -0.07892139174808295, -0.08171590522695811, 0.050931060259851314, -0.04886404349646256, -0.09273967017921117, 0.4687168928197561, 0.08889274089000164, 0.23313791698847824, -0.04849997529377922, 0.24859443741540113, 0.0013970152403299625, -0.009456974217662206, 0.00780877210789372, 0.24058108967848313, 0.20154307703845775, 0.11366991656951797, -0.24955527222930238, 0.035192375492232926, 0.07577313685741945]
|
707.0276
|
Transverse momentum broadening of vector bosons in heavy ion collisions
at the LHC
|
We calculate in perturbative QCD the transverse momentum broadening of vector
bosons in heavy ion collisions at the Large Hadron Collider (LHC). We predict
transverse momentum broadening of $W/Z$ bosons constructed from their leptonic
decay channels, which should be a clean probe of initial-state medium effect.
We also predict the upper limit of transverse momentum broadening of J/$\psi$
and $\Upsilon$ production as a function of N$_{\rm part}$ at the LHC energy.
|
hep-ph
|
we calculate in perturbative qcd the transverse momentum broadening of vector bosons in heavy ion collisions at the large hadron collider lhc we predict transverse momentum broadening of wz bosons constructed from their leptonic decay channels which should be a clean probe of initialstate medium effect we also predict the upper limit of transverse momentum broadening of jpsi and upsilon production as a function of n_rm part at the lhc energy
|
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|
[-0.07210690307457157, 0.33874467846898126, -0.1513488103674961, 0.17583577306022946, -0.048475410841720204, -0.11106563818601656, -0.028337014812818716, 0.336595664600986, -0.2082178729100966, -0.22321018009958132, -0.1084098448832585, -0.33345187847620583, 0.16085047680150036, 0.09884149240802081, 0.14753242831965777, 0.11656012791405682, 0.13010037157841972, -0.039129504140361517, -0.04158842642988327, -0.1751705664537952, 0.29609861148809885, 0.0981763603533028, 0.20110697852132817, 0.2161625732707096, 0.0538969014731931, 0.10079439524167651, -0.04177781215395031, -0.05807917457546147, -0.13441696160958266, -0.017720142841375183, 0.25019360910838756, -0.0464743851900468, 0.1204656640093931, -0.3063935045100434, -0.08810520190483248, 0.13100986668682643, 0.20459895491809912, 0.16247660365500027, -0.026439492498904888, -0.2557712315096402, 0.051652350449855895, -0.292308490513496, -0.15816504468905254, -0.0627371414866246, -0.0007868284346457099, -0.049806935922570635, -0.33806607426262236, 0.12899057704481479, -0.069759746554347, 0.05946947932923803, -0.009341719661983596, -0.19650226154915568, -0.13373174990238754, -0.07213934182687859, 0.11606709210490676, 0.08271380203684241, 0.23430636937034802, -0.21263333366901785, -0.17725411260789128, 0.38066473031337833, -0.09882106710697564, -0.1741117049225042, 0.13142165676100362, -0.2693774551153183, -0.1454910192127064, 0.18934629231848768, 0.37170333677614237, 0.04532776012177199, -0.13590321788223278, 0.1024774793186225, 0.0075093518981946186, 0.1239861453333349, 0.06984931726375936, 0.1911668567196794, 0.2388394235593962, 0.16759230847090062, -0.07519430441545769, 0.08825994039820934, -0.14980100127409252, -0.009886589530907887, -0.45681513197274065, -0.13786741297587124, -0.14503911330403996, 0.11397327644206111, -0.04972743449554759, -0.08101749021402548, 0.38590334605058313, 0.08738303475711547, 0.34211911505061976, -0.033338698494562904, 0.33835213982933005, 0.16116218746174127, 0.043950733258536503, 0.1079058173991015, 0.3368197438687506, 0.19411260249342402, 0.21442660533259034, -0.29970708329142004, -0.01853813840942064, 0.06677436527634584]
|
707.0277
|
Magnetic phases in the correlated Kondo-lattice model
|
We study magnetic ordering of an extended Kondo-lattice model including an
additional on-site Coulomb interaction between the itinerant states. The model
is solved in the dynamical mean-field theory using Wilson's numerical
renormalization group approach as impurity solver. For a bipartite lattice we
find at half filling the expected antiferromagnetic phase. Upon doping this
phase is gradually suppressed and hints towards phase separation are observed.
For large doping the model exhibits ferromagnetism, the appearance of which can
at first sight be explained by Rudermann-Kittel-Kasuya-Yosida interaction.
However, for large values of the Kondo coupling $J$ significant differences to
a simple Rudermann-Kittel-Kasuya-Yosida picture can be found. We furthermore
observe signs of quantum critical points for antiferromagnetic Kondo coupling
between the local spins and band states.
|
cond-mat.str-el
|
we study magnetic ordering of an extended kondolattice model including an additional onsite coulomb interaction between the itinerant states the model is solved in the dynamical meanfield theory using wilsons numerical renormalization group approach as impurity solver for a bipartite lattice we find at half filling the expected antiferromagnetic phase upon doping this phase is gradually suppressed and hints towards phase separation are observed for large doping the model exhibits ferromagnetism the appearance of which can at first sight be explained by rudermannkittelkasuyayosida interaction however for large values of the kondo coupling j significant differences to a simple rudermannkittelkasuyayosida picture can be found we furthermore observe signs of quantum critical points for antiferromagnetic kondo coupling between the local spins and band states
|
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|
[-0.19125041458374042, 0.2144480870722232, -0.05435202767208451, 0.09058744329138521, -0.008453236977700607, -0.19487094267397417, 0.10995614655663213, 0.3732270995559568, -0.2705015002207861, -0.31015985555275055, -0.011906632520907299, -0.3276575116104767, -0.12713434385349515, 0.10784841337447344, 0.08062242921188625, -0.058292776527389935, -0.01297872515822776, -0.033556574070062795, -0.14324634619912163, -0.2052341784917383, 0.2821640761064119, 0.012530933232542861, 0.24173275129339986, 0.13060606435441305, 0.012157359775957331, 0.020377273220935316, 0.12178019326577177, 0.05086837317336534, -0.10511204309486707, -0.010329454355743393, 0.2529882295047635, -0.09823505764483134, 0.21129215907183338, -0.41104575681698613, -0.19204675498586454, 0.024333286492276143, 0.1641251197100052, 0.19005816501897346, -0.06701005217676494, -0.3242734726671068, -0.0021831936691505986, -0.17709654886141937, -0.1430888449110961, -0.11349220297558875, -0.02641063554166648, -0.059778234531118184, -0.2960681159766849, 0.13249106872368788, 0.04827937436338751, 0.11260656181142711, -0.07796532360333033, -0.11390426953430058, -0.06046958982975024, 0.07399842634674955, 0.04264111573460558, 0.07401370191679443, 0.09660394507227466, -0.11568985813675205, -0.1202398695750162, 0.3701183404620798, -0.04969793799634809, -0.0752492134524204, 0.17890968678622185, -0.15393028335386247, -0.1025429754059945, 0.15403026439603532, 0.11415544244247015, 0.04166171111578702, -0.1074920662938327, 0.10768766204261633, -0.02016682470156277, 0.19542810249096546, -0.029089488873456713, 0.030527409570688595, 0.2670939789749071, 0.18699622884789696, 0.07402776235897766, 0.13131578274636116, -0.09938094146610772, -0.1515032125171274, -0.24623034428805113, -0.10598057487761968, -0.23458545849673818, 0.0463788727771674, -0.13232256880494744, -0.15922603032505903, 0.4006694040948727, 0.17899495010935992, 0.18845570999861802, -0.03622848843319769, 0.1937777366160919, 0.15526458846508204, 0.06230865802890698, 0.04399537165328616, 0.2611514549763476, 0.1382652392599457, 0.07358580471978324, -0.3170592766331478, 0.05381308871771774, 0.09066400109250175]
|
707.0278
|
Headgroup dimerization in methanethiol monolayers on the Au(111)
surface: a density functional theory study
|
A long-standing controversy related to the dimer pattern formed by S atoms in
methanethiol ($CH_{3}SH$) on the Au(111) surface has been resolved using
density functional theory. For the first time, dimerization of methanethiol
adsorbates on the Au(111) surface is established by computational modeling. For
methylthiolate ($CH_{3}S$), it is shown that the S atoms do not dimerize at
high coverage but reveal a dimer pattern at intermediate coverage. Molecular
dynamics simulation at high coverage demonstrates that the observed dialkyl
disulfide species are formed during the desorption process, and thus are not
attached to the surface.
|
cond-mat.mtrl-sci
|
a longstanding controversy related to the dimer pattern formed by s atoms in methanethiol ch_3sh on the au111 surface has been resolved using density functional theory for the first time dimerization of methanethiol adsorbates on the au111 surface is established by computational modeling for methylthiolate ch_3s it is shown that the s atoms do not dimerize at high coverage but reveal a dimer pattern at intermediate coverage molecular dynamics simulation at high coverage demonstrates that the observed dialkyl disulfide species are formed during the desorption process and thus are not attached to the surface
|
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|
[-0.0941148285456102, 0.1350258669605659, -0.06362654011876832, 0.03281852098063942, 0.041932507152719206, -0.15280949954263945, 0.07874225820439758, 0.4348416224883128, -0.2393611420286439, -0.3137167112961892, 0.012462863702357056, -0.29368237159665556, -0.1068227837608266, 0.11802771840161914, 0.012962793798050693, -0.008081344116519215, 0.05874731928430578, -0.03986905892980435, -0.037699775835399026, -0.23836597971145942, 0.22789161167137564, 0.10773163098060796, 0.30134540511876023, 0.14788898929793348, 0.05216769056434753, -0.038471340680169754, 0.05410719760293041, -0.006202203058888034, -0.18388537278537193, 0.09397431919651647, 0.25375685471069986, 0.004582545652444805, 0.19854670796062676, -0.49827278261223146, -0.280315682221885, -0.015147062794615826, 0.14285822119563818, 0.1216217240228528, -0.06624081248407482, -0.24738265393722442, 0.04732912695736334, -0.08383867424732495, -0.10272072616123384, -0.022393091018461892, 0.0375278643883204, 0.0062585513831006105, -0.18454620424377663, 0.08033352607600791, -0.0017075869905692274, 0.103020604379395, -0.042208981312190495, -0.12448071126115098, -0.13830352091400694, 0.07825453449992002, -0.007284669078178003, 0.04850924131710843, 0.16650014885410827, -0.0777609335478916, -0.05083417249292696, 0.3591806141419276, -0.08663197797823256, -0.11992811179289253, 0.2419201991250438, -0.19370191212322924, -0.15252128782712163, 0.2435540938549625, 0.06950040469046241, 0.12060933188605373, -0.11469701913896427, 0.07231970824318767, -0.029346584700741453, 0.1880434476419963, 0.1397171121250878, -0.007134724919113421, 0.2528465232381257, 0.19712784851310394, 0.059931770435244, 0.08365670755826017, -0.13670369194349855, -0.08586693435697065, -0.18053504433082315, -0.1536849956178377, -0.24044445046894652, 0.023478476093113123, 0.021183955334333492, -0.14617198327229539, 0.3152630925579097, 0.03370495756990426, 0.17342453988228915, -0.017979335392855348, 0.20299124381234568, 0.07882264210411938, 0.07760258574759768, -0.004826410803743588, 0.18911629512665734, 0.13807185933053975, 0.05835243141258596, -0.28257901358458226, 0.15019430483250767, 0.03351389993512903]
|
707.0279
|
Accelerating Cosmologies with an Anisotropic Equation of State
|
If the dark energy equation of state is anisotropic, the expansion rate of
the universe becomes direction-dependent at late times. We show that such
models are not only cosmologically viable but that they could explain some of
the observed anomalies in the CMB, and shed some light into the coincidence
problem. The possible anisotropy can then be constrained by studying its
effects on the luminosity distance-redshift relation inferred from several
observations. A vector field action for dark energy is also presented as an
example of such possibility.
|
astro-ph gr-qc hep-ph
|
if the dark energy equation of state is anisotropic the expansion rate of the universe becomes directiondependent at late times we show that such models are not only cosmologically viable but that they could explain some of the observed anomalies in the cmb and shed some light into the coincidence problem the possible anisotropy can then be constrained by studying its effects on the luminosity distanceredshift relation inferred from several observations a vector field action for dark energy is also presented as an example of such possibility
|
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|
[-0.11255941105653243, 0.17493509979341207, -0.11948424113657453, 0.15362685400960518, -0.11960036059220631, -0.10070408237348685, -0.02412603029060638, 0.3671310033606387, -0.2901675419817711, -0.3166803326136593, 0.12222718178085855, -0.2730204131850309, -0.09861903018906884, 0.23273283081535978, 0.021273298820630573, -0.02156575643002516, 0.02845653730856747, 0.0483362481169317, -0.03391711682752952, -0.26327584139553123, 0.3113185071678104, 0.09311758237088034, 0.22433876006692732, 0.07666191575385031, 0.10170657249253201, -0.07848395091941816, -0.031639181773296034, 0.035508764747144844, -0.12852842026024164, 0.023130898822859014, 0.20265879880439727, 0.1536471388722909, 0.1795408687468661, -0.4140444601318617, -0.26375591332071474, 0.18141464689554482, 0.15562625238457803, 0.12544333623807835, -0.07646828993282484, -0.26374911812358887, 0.036000315099954605, -0.1390930119548635, -0.14502969529244236, -0.0558926057198952, 0.011703889299151969, -0.01951760022590558, -0.22309285707654025, 0.1271690182229263, 0.008380226496521426, -0.061057553872808645, -0.11597437891525741, -0.08839406022780585, -0.04030702683282481, 0.02406477234486876, 0.11190802147397878, 0.014785611335637754, 0.11294810713172473, -0.17823680845656614, -0.0600918939232762, 0.4205395854238806, -0.10173323601698396, -0.1281702671243191, 0.13690343021211782, -0.15897144674291386, -0.13216009005989837, 0.09103615255758765, 0.13578913874132023, 0.07324615045953756, -0.15339493365615778, 0.09249097170862208, -0.016942053209005416, 0.1645924657711695, 0.03575894290624165, 0.056676370145260606, 0.3073224152127902, 0.1348014691651895, 0.03984205687054615, 0.058992170599615736, -0.09504402737834373, -0.026563143668744457, -0.3352278882915946, -0.14285090091991529, -0.16578790442696933, 0.07026584007280166, -0.13162793472242654, -0.09242847114373212, 0.37524756476358007, 0.14688631090945725, 0.24174013113517356, 0.016229754097053205, 0.28190797165400167, 0.12673903784270388, 0.05434106128161837, 0.06738904825058477, 0.31960738807095046, 0.09285993482542877, 0.06766231580177086, -0.25140547747830805, 0.061772698632858954, -0.010511265114891803]
|
707.028
|
Spin-lattice instability to a fractional magnetization state in the
spinel HgCr2O4
|
Magnetic systems are fertile ground for the emergence of exotic states when
the magnetic interactions cannot be satisfied simultaneously due to the
topology of the lattice - a situation known as geometrical frustration.
Spinels, AB2O4, can realize the most highly frustrated network of
corner-sharing tetrahedra. Several novel states have been discovered in
spinels, such as composite spin clusters and novel charge-ordered states. Here
we use neutron and synchrotron X-ray scattering to characterize the fractional
magnetization state of HgCr2O4 under an external magnetic field, H. When the
field is applied in its Neel ground state, a phase transition occurs at H ~ 10
Tesla at which each tetrahedron changes from a canted Neel state to a
fractional spin state with the total spin, Stet, of S/2 and the lattice
undergoes orthorhombic to cubic symmetry change. Our results provide the
microscopic one-to-one correspondence between the spin state and the lattice
distortion.
|
cond-mat.str-el
|
magnetic systems are fertile ground for the emergence of exotic states when the magnetic interactions cannot be satisfied simultaneously due to the topology of the lattice a situation known as geometrical frustration spinels ab2o4 can realize the most highly frustrated network of cornersharing tetrahedra several novel states have been discovered in spinels such as composite spin clusters and novel chargeordered states here we use neutron and synchrotron xray scattering to characterize the fractional magnetization state of hgcr2o4 under an external magnetic field h when the field is applied in its neel ground state a phase transition occurs at h 10 tesla at which each tetrahedron changes from a canted neel state to a fractional spin state with the total spin stet of s2 and the lattice undergoes orthorhombic to cubic symmetry change our results provide the microscopic onetoone correspondence between the spin state and the lattice distortion
|
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|
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|
707.0281
|
On Fox quotients of arbitrary group algebras
|
For a group $G$, N-series $\cal G$ of $G$ and commutative ring $R$ let
$I^n_{R,\cal G}(G)$, $n\ge 0$, denote the filtration of the group algebra
$R(G)$ induced by $\cal G$, and $I_R(G)$ its augmentation ideal. For subgroups
$H$ of $G$, left ideals $J$ of $R(H)$ and right $H$-submodules $M$ of $I_Z(G)$
the quotients $I_R(G)J/MJ$ are studied by homological methods, notably for $M=
I_Z(G)I_Z(H)$, $I_Z(H)I_Z(G) + I_Z([H,G])Z(G)$ and $Z(G)I_Z(N) +I^n_{Z,\cal
G}(G)$ with $N \lhd G$ where the group $I_R(G)J/MJ$ is completely determined
for $n=2$. The groups $I^{n-1}_{Z,\cal G}(G)I_Z(H)/I^n_{Z,\cal G}(G)I_Z(H)$ are
studied and explicitly computed for $n\le 3$ in terms of enveloping rings of
certain graded Lie rings and of torsion products of abelian groups.
|
math.GR math.RA
|
for a group g nseries cal g of g and commutative ring r let in_rcal gg nge 0 denote the filtration of the group algebra rg induced by cal g and i_rg its augmentation ideal for subgroups h of g left ideals j of rh and right hsubmodules m of i_zg the quotients i_rgjmj are studied by homological methods notably for m i_zgi_zh i_zhi_zg i_zhgzg and zgi_zn in_zcal gg with n lhd g where the group i_rgjmj is completely determined for n2 the groups in1_zcal ggi_zhin_zcal ggi_zh are studied and explicitly computed for nle 3 in terms of enveloping rings of certain graded lie rings and of torsion products of abelian groups
|
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|
[-0.23022577285089277, 0.14318423271367345, -0.01211395776934094, -0.03811551047597231, -0.04957525846501342, -0.19098337972066318, -0.06689664943501203, 0.35641559006439316, -0.332624409423031, -0.2448391362723678, 0.12266185220608469, -0.2505046951800886, -0.033815161106317784, 0.1537054018070451, -0.08914526946127715, -0.09533307162369836, 0.010935811650459513, 0.16862399104248846, -0.0711486177316707, -0.27200298140712104, 0.3505823889164009, -0.05114713842707752, 0.12888124060371392, -0.014402766773157348, 0.06762002786913078, 0.012616057039445473, -0.050935858202101, 0.01365210691165894, -0.218990361374436, 0.08195822136453118, 0.3117970717421761, 0.0076950166487332545, 0.17010770358775526, -0.35116268194873224, -0.09100764628612634, 0.2266550495035269, 0.16739410666203258, -0.15370111392265318, 0.01656977773874509, -0.25658424780939265, 0.19543345724091385, -0.22056683493458262, -0.11424289252891233, -0.021192717638732206, 0.23466726399092663, -0.028457023909508317, -0.31865648916837847, 0.011699021690421633, 0.0883970603704302, 0.15818092921240764, 0.03846051486919286, -0.17075639675757048, -0.1587620610653451, 0.07691610020801726, -0.0654010144038822, 0.008554748207744624, 0.12158612902699546, -0.12833318728106943, -0.10833169869911584, 0.42635204844327285, -0.0830613760973769, -0.1400674245743001, 0.06842182107702499, -0.24257625541602723, -0.1401452354221332, 0.102697036953436, 0.00876907039095055, 0.21949988486941416, 0.038337884997629156, 0.32507211539654457, -0.13828940499859693, -0.02435030334516231, 0.08449595269154418, -0.03196964327321209, 0.084175962935945, 0.05333969434911404, 0.04067246613564261, 0.07985003484469472, 0.06512927265856604, 0.15778186692470553, -0.36710026856474204, -0.17150514776997192, -0.12371818430138508, 0.164867803804968, -0.13684500114330223, -0.08503742130811918, 0.3674088619047343, 0.03888372216147907, 0.13497029305106462, 0.10014497710278991, 0.12592673471028154, 0.023166970632067234, 0.059855210524278155, 0.11761088161305948, 0.026793962278676153, 0.3274983902593529, -0.15586199204089365, -0.21090566312583783, -0.09269938945789079, 0.22904448642988096]
|
707.0282
|
Directed Feedback Vertex Set is Fixed-Parameter Tractable
|
We resolve positively a long standing open question regarding the
fixed-parameter tractability of the parameterized Directed Feedback Vertex Set
problem. In particular, we propose an algorithm which solves this problem in
$O(8^kk!*poly(n))$.
|
cs.DS cs.CC
|
we resolve positively a long standing open question regarding the fixedparameter tractability of the parameterized directed feedback vertex set problem in particular we propose an algorithm which solves this problem in o8kkpolyn
|
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|
[-0.17238455247734824, 0.044666605299778075, 0.04728534973917469, 0.10493832211866375, -0.1534757922974325, -0.19355103347991262, 0.09093168714354115, 0.4191665320146468, -0.4327491501406316, -0.33759811983233495, 0.07038524654513646, -0.19444991455924127, -0.1461785216965983, 0.10651968553241703, -0.1504155848355543, 0.099550764587137, 0.13949625398362836, -0.03689531874542515, 0.042310907535495296, -0.2991967222863628, 0.34898368125000306, 0.01816322367578264, 0.12071928760457423, 0.1893421823699628, 0.13649862286664785, 0.04094886213480946, -0.03870879786629831, 0.12008465101356589, -0.21318484870191182, 0.0791518154869517, 0.29384168105260017, 0.24524415602847452, 0.38616380142048, -0.40366844063804996, -0.16929081803367985, 0.166306538582449, 0.20232295016607932, 0.1433629400900475, -0.038409008614478574, -0.21670178095659903, 0.033500934440282085, -0.09163768613530744, -0.13045520688437165, 0.0691489290085531, 0.03631695353936765, -0.0956775639367533, -0.21126170282162005, 0.0013543905111991108, 0.14193414650376765, -0.04923766641126525, -0.08667128515099326, -0.058721467311824524, 0.18783641363974782, 0.11882817500361031, -0.026430852786307375, 0.1388404085751503, -0.0626600010530843, -0.18284861105794628, -0.22290957956424645, 0.3366254303724535, 0.033456575245626514, -0.23670679384902601, 0.0937875380078631, -0.07175975172750411, -0.22377976799203503, 0.07493161386059176, 0.1757294181659217, 0.19098249450325966, -0.14897940836606488, 0.15714973749052133, -0.21729601982740626, 0.1500083370727577, 0.09772634713519965, -0.07404693351277421, 0.14633953102654026, 0.23107405294544034, 0.16836842894554138, 0.23853891523134324, 0.06449371287899633, -0.06897000688683963, -0.225816979309574, -0.04061440111047799, -0.0766465525713659, 0.04665422634852509, -0.04170614967663442, -0.24399569330196227, 0.44049965097538885, 0.1874906401480398, 0.22285696984298767, 0.08652479511370222, 0.24780263932001206, 0.11719468962673413, -0.08005641115995522, 0.1989557355522148, 0.11642105801917252, 0.13854502309714595, 0.04270870280602286, -0.30602101597093767, 0.09774981144695513, 0.11125297850418475]
|
707.0283
|
What SWIFT has taught us about X-ray flashes and long-duration gamma-ray
bursts
|
Recent data gathered and triggered by the SWIFT satellite have greatly
improved our knowledge of long-duration gamma ray bursts (GRBs) and X-ray
flashes (XRFs). This is particularly the case for the X-ray data at all times,
and for UV and optical data at very early times. I show that the optical and
X-ray observations are in excellent agreement with the predictions of the
"cannonball" model of GRBs and XRFs. Elementary physics and just two mechanisms
underlie these predictions: inverse Compton scattering and synchrotron
radiation, generally dominant at early and late times, respectively. I put this
result in its proper context and dedicate the paper to those who planed, built
and operate SWIFT, a true flying jewel.
|
astro-ph hep-ph
|
recent data gathered and triggered by the swift satellite have greatly improved our knowledge of longduration gamma ray bursts grbs and xray flashes xrfs this is particularly the case for the xray data at all times and for uv and optical data at very early times i show that the optical and xray observations are in excellent agreement with the predictions of the cannonball model of grbs and xrfs elementary physics and just two mechanisms underlie these predictions inverse compton scattering and synchrotron radiation generally dominant at early and late times respectively i put this result in its proper context and dedicate the paper to those who planed built and operate swift a true flying jewel
|
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|
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|
707.0284
|
A statistical theory for the measurement and estimation of Rayleigh
fading channel
|
In this paper, we propose a statistical theory on measurement and estimation
of Rayleigh fading channels in wireless communications and provide complete
solutions to the fundamental problems: What is the optimum estimator for the
statistical parameters associated with the Rayleigh fading channel, and how
many measurements are sufficient to estimate these parameters with the
prescribed margin of error and confidence level? Our proposed statistical
theory suggests that two testing signals of different strength be used. The
maximum likelihood (ML) estimator is obtained for estimation of the statistical
parameters of the Rayleigh fading channel that is both sufficient and complete
statistic. Moreover, the ML estimator is the minimum variance (MV) estimator
that in fact achieves the Cramer-Rao lower bound.
|
math.ST math.PR stat.AP stat.TH
|
in this paper we propose a statistical theory on measurement and estimation of rayleigh fading channels in wireless communications and provide complete solutions to the fundamental problems what is the optimum estimator for the statistical parameters associated with the rayleigh fading channel and how many measurements are sufficient to estimate these parameters with the prescribed margin of error and confidence level our proposed statistical theory suggests that two testing signals of different strength be used the maximum likelihood ml estimator is obtained for estimation of the statistical parameters of the rayleigh fading channel that is both sufficient and complete statistic moreover the ml estimator is the minimum variance mv estimator that in fact achieves the cramerrao lower bound
|
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|
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|
707.0285
|
A Generalized Sampling Theorem for Frequency Localized Signals
|
A generalized sampling theorem for frequency localized signals is presented.
The generalization in the proposed model of sampling is twofold: (1) It applies
to various prefilters effecting a "soft" bandlimitation, (2) an approximate
reconstruction from sample values rather than a perfect one is obtained (though
the former might be "practically perfect" in many cases). For an arbitrary
finite-energy signal the frequency localization is performed by a prefilter
realizing a crosscorrelation with a function of prescribed properties. The
range of the filter, the so-called localization space, is described in some
detail. Regular sampling is applied and a reconstruction formula is given. For
the reconstruction error a general error estimate is derived and connections
between a critical sampling interval and notions of "soft bandwidth" for the
prefilter are indicated. Examples based on the sinc-function, Gaussian
functions and B-splines are discussed.
|
cs.IT math.IT
|
a generalized sampling theorem for frequency localized signals is presented the generalization in the proposed model of sampling is twofold 1 it applies to various prefilters effecting a soft bandlimitation 2 an approximate reconstruction from sample values rather than a perfect one is obtained though the former might be practically perfect in many cases for an arbitrary finiteenergy signal the frequency localization is performed by a prefilter realizing a crosscorrelation with a function of prescribed properties the range of the filter the socalled localization space is described in some detail regular sampling is applied and a reconstruction formula is given for the reconstruction error a general error estimate is derived and connections between a critical sampling interval and notions of soft bandwidth for the prefilter are indicated examples based on the sincfunction gaussian functions and bsplines are discussed
|
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|
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|
707.0286
|
The relative second Fox and third dimension subgroup of arbitrary groups
|
Let $I_R(G)$ denote the augmentation ideal of the group algebra $R(G)$ of a
group $G$ with coefficients in a commutative ring $R$. We give a complete
description of the third relative dimension subgroup
$G\cap(1+I_R(K)I_R(G)+I^3_R(G))$ and the second relative Fox subgroup
$G\cap(1+I_R(K)I_R(H)+I^2_R(G)I_R(H))$ for any subgroups $K$ and $H$ of $G$.
|
math.GR math.RA
|
let i_rg denote the augmentation ideal of the group algebra rg of a group g with coefficients in a commutative ring r we give a complete description of the third relative dimension subgroup gcap1i_rki_rgi3_rg and the second relative fox subgroup gcap1i_rki_rhi2_rgi_rh for any subgroups k and h of g
|
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|
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|
707.0287
|
Monitoring the Variable Interstellar Absorption toward HD 219188 with
HST/STIS
|
We discuss the results of continued spectroscopic monitoring of the variable
intermediate-velocity (IV) absorption at v = -38 km/s toward HD 219188. After
reaching maxima in mid-2000, the column densities of both Na I and Ca II in
that IV component declined by factors >= 2 by the end of 2006. Comparisons
between HST/STIS echelle spectra obtained in 2001, 2003, and 2004 and HST/GHRS
echelle spectra obtained in 1994--1995 indicate the following: (1) The
absorption from the dominant species S II, O I, Si II, and Fe II is roughly
constant in all four sets of spectra -- suggesting that the total N(H) and the
(mild) depletions have not changed significantly over a period of nearly ten
years. (2) The column densities of the trace species C I (both ground and
excited fine-structure states) and of the excited state C II* all increased by
factors of 2--5 between 1995 and 2001 -- implying increases in the hydrogen
density n_H (from about 20 cm^{-3} to about 45 cm^{-3}) and in the electron
density n_e (by a factor >= 3) over that 6-year period. (3) The column
densities of C I and C II* -- and the corresponding inferred n_H and n_e --
then decreased slightly between 2001 and 2004. (4) The changes in C I and C II*
are very similar to those seen for Na I and Ca II. The relatively low total
N(H) and the modest n_H suggest that the -38 km/s cloud toward HD 219188 is not
a very dense knot or filament. Partial ionization of hydrogen appears to be
responsible for the enhanced abundances of Na I, C I, Ca II, and C II*. In this
case, the variations in those species appear to reflect differences in density
and ionization [and not N(H)] over scales of tens of AU.
|
astro-ph
|
we discuss the results of continued spectroscopic monitoring of the variable intermediatevelocity iv absorption at v 38 kms toward hd 219188 after reaching maxima in mid2000 the column densities of both na i and ca ii in that iv component declined by factors 2 by the end of 2006 comparisons between hststis echelle spectra obtained in 2001 2003 and 2004 and hstghrs echelle spectra obtained in 19941995 indicate the following 1 the absorption from the dominant species s ii o i si ii and fe ii is roughly constant in all four sets of spectra suggesting that the total nh and the mild depletions have not changed significantly over a period of nearly ten years 2 the column densities of the trace species c i both ground and excited finestructure states and of the excited state c ii all increased by factors of 25 between 1995 and 2001 implying increases in the hydrogen density n_h from about 20 cm3 to about 45 cm3 and in the electron density n_e by a factor 3 over that 6year period 3 the column densities of c i and c ii and the corresponding inferred n_h and n_e then decreased slightly between 2001 and 2004 4 the changes in c i and c ii are very similar to those seen for na i and ca ii the relatively low total nh and the modest n_h suggest that the 38 kms cloud toward hd 219188 is not a very dense knot or filament partial ionization of hydrogen appears to be responsible for the enhanced abundances of na i c i ca ii and c ii in this case the variations in those species appear to reflect differences in density and ionization and not nh over scales of tens of au
|
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|
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|
707.0288
|
The clustering of merging star-forming haloes: dust emission as high
frequency arcminute CMB foreground
|
Future observations of CMB anisotropies will be able to probe high multipole
regions of the angular power spectrum, corresponding to a resolution of a few
arcminutes. Dust emission from merging haloes is one of the foregrounds that
will affect such very small scales. We estimate the contribution to CMB angular
fluctuations from objects that are bright in the sub-millimeter band due to
intense star formation bursts following merging episodes. We base our approach
on the Lacey-Cole merger model and on the Kennicutt relation which connects the
star formation rate in galaxies with their infrared luminosity. We set the free
parameters of the model in order to not exceed the SCUBA source counts, the
Madau plot of star formation rate in the universe and COBE/FIRAS data on the
intensity of the sub-millimeter cosmic background radiation. We show that the
angular power spectrum arising from the distribution of such star-forming
haloes will be one of the most significant foregrounds in the high frequency
channels of future CMB experiments, such as PLANCK, ACT and SPT. The
correlation term, due to the clustering of multiple haloes at redshift z~2-6,
is dominant in the broad range of angular scales 200<l<3000. Poisson
fluctuations due to bright sub-millimeter sources are more important at higher
l, but since they are generated from the bright sources, such contribution
could be strongly reduced if bright sources are excised from the sky maps. The
contribution of the correlation term to the angular power spectrum depends
strongly on the redshift evolution of the escape fraction of UV photons and the
resulting temperature of the dust. The measurement of this signal will
therefore give important information about galaxies in the early stage of their
evolution.
|
astro-ph
|
future observations of cmb anisotropies will be able to probe high multipole regions of the angular power spectrum corresponding to a resolution of a few arcminutes dust emission from merging haloes is one of the foregrounds that will affect such very small scales we estimate the contribution to cmb angular fluctuations from objects that are bright in the submillimeter band due to intense star formation bursts following merging episodes we base our approach on the laceycole merger model and on the kennicutt relation which connects the star formation rate in galaxies with their infrared luminosity we set the free parameters of the model in order to not exceed the scuba source counts the madau plot of star formation rate in the universe and cobefiras data on the intensity of the submillimeter cosmic background radiation we show that the angular power spectrum arising from the distribution of such starforming haloes will be one of the most significant foregrounds in the high frequency channels of future cmb experiments such as planck act and spt the correlation term due to the clustering of multiple haloes at redshift z26 is dominant in the broad range of angular scales 200l3000 poisson fluctuations due to bright submillimeter sources are more important at higher l but since they are generated from the bright sources such contribution could be strongly reduced if bright sources are excised from the sky maps the contribution of the correlation term to the angular power spectrum depends strongly on the redshift evolution of the escape fraction of uv photons and the resulting temperature of the dust the measurement of this signal will therefore give important information about galaxies in the early stage of their evolution
|
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|
[-0.08601713030906727, 0.1301504980618899, -0.08248596995170894, 0.10912392951722723, -0.09461452164687216, -0.010051390192737536, -0.018996347748075744, 0.38751347667670677, -0.21870808574146525, -0.32812726497026495, 0.07371186957004414, -0.3454334489635325, -0.018675140926123796, 0.20340748946265583, 0.005821110162651166, -0.03531367291787839, 0.02152212657051028, -0.061703066690824926, -0.008751817085327015, -0.2563052834131148, 0.32547151468378227, 0.1812021496007219, 0.2258533897975992, 0.022722012250285063, 0.08176541463513526, -0.09584350344126245, -0.11644227528512212, -0.03308055528073705, -0.12057039826860481, 0.03813290151883848, 0.2567921688048435, 0.13401093370630407, 0.18957137819600445, -0.3653208474204543, -0.21604955359112604, 0.13384986114355601, 0.1671797704866289, 0.09490129115750148, -0.031830232533320665, -0.2571174742604074, 0.050829552304847835, -0.15521901121329781, -0.11028486572239282, 0.04403781353446123, 0.010351667704526335, 0.04670709408320753, -0.2226605199975893, 0.16043317312058727, 0.02362800635788257, 0.004186657541764102, -0.07740084973962179, -0.07514551101817883, -0.07383585201709399, 0.10202792755111918, 0.03897454234039677, 0.06808298803807702, 0.1944968317951342, -0.18166370672157167, -0.029052723148821055, 0.3981580314193187, -0.07918933197049358, -0.061305047101840114, 0.1894039500438209, -0.25813298816293745, -0.17064283703553623, 0.16980334112969495, 0.17738391670760134, 0.08741705651461545, -0.11315024665382226, 0.018614691666360678, 0.03983161670704638, 0.2222228477243334, 0.06962607311933035, 0.11269420260297401, 0.35576753821889207, 0.09324456915866385, 0.07500719081311087, 0.1047320272790135, -0.20988449302302406, -0.010030935728822701, -0.27479619549308804, -0.041065635673502195, -0.1863140548346564, 0.09627741091706932, -0.1361885499672748, -0.11085401035649868, 0.3818453470843711, 0.16049430208846127, 0.22702765006771577, 0.06011167360078876, 0.3236843746887254, 0.09442350597845299, 0.1005032614688389, 0.059882647984029196, 0.2896276162272053, 0.1238873801318862, 0.09349816016412141, -0.24137166122091003, 0.02825791502171861, -0.03820875924596164]
|
707.0289
|
Transport through single-level quantum dot in a magnetic field
|
We study the effect of an external magnetic field on the transport properties
of a quantum dot using a recently developed extension of the functional
renormalization group approach to non-equilibrium situations. We discuss in
particular the interplay and competition of the different energy scales of the
dot and the magnetic field on the stationary non-equilibrium current and
conductance. As rather interesting behavior we find a switching behavior of the
magnetic field for intermediate correlations and bias voltage.
|
cond-mat.mes-hall
|
we study the effect of an external magnetic field on the transport properties of a quantum dot using a recently developed extension of the functional renormalization group approach to nonequilibrium situations we discuss in particular the interplay and competition of the different energy scales of the dot and the magnetic field on the stationary nonequilibrium current and conductance as rather interesting behavior we find a switching behavior of the magnetic field for intermediate correlations and bias voltage
|
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|
[-0.20389539207779356, 0.14116911237697305, -0.11102858308533375, 0.08541863813826983, -0.022262071706838422, -0.08296215090320094, 0.051884567035458885, 0.3516282615336505, -0.29403178442221184, -0.3259615544955452, 0.0352364707202953, -0.24228036025079427, -0.15622757885653477, 0.20763109595357598, 0.041425094737175414, 0.004796355079811115, -0.03476917217546082, 0.04026526105045885, -0.06614513651168506, -0.15768854646616942, 0.36072692321008676, 0.016410089882586586, 0.3176453433108407, 0.09529735628733194, 0.0935288971991508, 0.024501452431106914, 0.07320722607538926, 0.11179100721620942, -0.14321918547298615, 0.0581128456170199, 0.16802449938962116, -0.045538838517356225, 0.2684806162527726, -0.4637747730987219, -0.19972066661076887, 0.02824824371423524, 0.10906130934811452, 0.1403556123569414, -0.09652424256873691, -0.281656273362505, 0.01862619508831919, -0.16719853178924554, -0.09302078310835671, -0.07978961311958054, 0.024045858814913248, 0.05875747270168519, -0.2745415104504723, 0.09701234350198662, 0.040224783228371634, 0.10109244401917442, -0.06173870271652356, -0.05726612520754918, 0.004929094103636679, 0.13358674345382296, 0.06834831531461957, 0.023377977635155058, 0.22681251992531992, -0.19766353690004967, -0.12752866607110996, 0.29315451955930755, -0.07592785365686014, -0.12690992733197554, 0.19164525501599367, -0.17739140706789958, -0.10685353190335747, 0.042891121572246414, 0.1675753817446046, 0.11731556369983531, -0.15950296739382402, 0.11865329498413031, 0.010948705910281702, 0.11578865603289822, -0.019735654888602048, 0.06250207982473559, 0.20739996810625125, 0.18065028460756816, 0.05106405245575618, 0.17053480218950803, -0.12370208684088928, -0.12914464328825087, -0.29301829382099887, -0.1693214237956064, -0.15934126708027604, 0.12204422316719572, -0.07133033240815721, -0.19962747248687915, 0.48874114840230964, 0.20201596731392593, 0.174112612200151, -0.028088121856381366, 0.2688171323630717, 0.16892642054295579, 0.01863639484244314, 0.0377985518546654, 0.22311756796167267, 0.20354573917272803, 0.11241482385712398, -0.3511779648917062, 0.02137119077484716, -0.009604784115761905]
|
707.029
|
Neutrino Mass Hierarchy and Stepwise Spectral Swapping of Supernova
Neutrino Flavors
|
We examine a phenomenon recently predicted by numerical simulations of
supernova neutrino flavor evolution: the swapping of supernova $\nu_e$ and
$\nu_{\mu,\tau}$ energy spectra below (above) energy $\EC$ for the normal
(inverted) neutrino mass hierarchy. We present the results of large-scale
numerical calculations which show that in the normal neutrino mass hierarchy
case, $\EC$ decreases as the assumed $\nu_e\rightleftharpoons\nu_{\mu,\tau}$
effective $2\times 2$ vacuum mixing angle ($\simeq \theta_{1 3}$) is decreased.
However, these calculations also indicate that $\EC$ is essentially independent
of the vacuum mixing angle in the inverted neutrino mass hierarchy case. With a
good neutrino signal from a future Galactic supernova, the above results could
be used to determine the neutrino mass hierarchy even if $\theta_{13}$ is too
small to be detected in terrestrial neutrino oscillation experiments.
|
astro-ph hep-ph
|
we examine a phenomenon recently predicted by numerical simulations of supernova neutrino flavor evolution the swapping of supernova nu_e and nu_mutau energy spectra below above energy ec for the normal inverted neutrino mass hierarchy we present the results of largescale numerical calculations which show that in the normal neutrino mass hierarchy case ec decreases as the assumed nu_erightleftharpoonsnu_mutau effective 2times 2 vacuum mixing angle simeq theta_1 3 is decreased however these calculations also indicate that ec is essentially independent of the vacuum mixing angle in the inverted neutrino mass hierarchy case with a good neutrino signal from a future galactic supernova the above results could be used to determine the neutrino mass hierarchy even if theta_13 is too small to be detected in terrestrial neutrino oscillation experiments
|
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|
[-0.08252769073523167, 0.2906571766768124, 0.039438373727043945, 0.20539112904918425, -0.0455627137174209, -0.12078611128076557, 0.07643225820299002, 0.33085486349014065, -0.23028917996848505, -0.33115253902395214, 0.06183210449636958, -0.27088658666258514, -0.060491900807911794, 0.2120508283546697, 0.060598175403558545, -0.003466442466661748, 0.10370992058573941, -0.010702654867181702, -0.1564332267231611, -0.1910518794209652, 0.3027496176350507, 0.13096383212818874, 0.2212852874682063, 0.06266914012413176, 0.06529517097782994, -0.11756311861857299, -0.04208253279683136, -0.0715483478566129, -0.12807749944684993, -0.045485236001984466, 0.2131103849719188, 0.1328215967657184, 0.09699433295440579, -0.36595110601139447, -0.18743335272348116, 0.17830611072805902, 0.18053820432304213, 0.06246024750575926, -0.10017529100046627, -0.2739986335703482, 0.07662073284570527, -0.2305665258207314, -0.17990960716177518, -0.0007660855032828828, -0.04107128029748324, -0.04146055986509762, -0.31736285650422646, 0.14556634268170918, -0.030652845341209618, -0.03846493034195321, -0.04570078354565397, -0.18481078442363513, -0.026881249957821436, 0.03664158721960756, 0.1361676532542333, -0.011554668291604944, 0.11255088966618854, -0.11507954785511607, -0.043061261397919486, 0.406746674536003, -0.07872345871181183, -0.11134847173768019, 0.1046803882012942, -0.21738126828512622, -0.08930809355695687, 0.14691976856233346, 0.12389161004241378, 0.036873914848362645, -0.1267717376587883, 0.06913721562494406, -0.13083421875767054, 0.19173135361929852, 0.0749167893839527, -0.04852708799369303, 0.26329452562467415, 0.23155564255273295, 0.10299023133628661, -0.062119174362455926, -0.16933349431270645, -0.01581676580780555, -0.30962067655849435, -0.07675863894456554, -0.12817606459268266, 0.1243333540162042, -0.09923745996292425, -0.09025021423659628, 0.38983681747719406, 0.11366652111921992, 0.18069012287915462, 0.01652947501907687, 0.27834401809285203, 0.10110674761438979, 0.05753177720018559, 0.047832988834540756, 0.3497293171665025, 0.16378191163179479, 0.1263697295032057, -0.29720797121251324, 0.0441107912403014, 0.03651253075619775]
|
707.0291
|
On the second cohomology of semidirect products
|
Let $G$ be a group which is the semidirect product of a normal subgroup $N$
and a subgroup $T$, and let $M$ be a $G$-module with not necessarily trivial
$G$-action. Then we embed the simultaneous restriction map
$res=(res^G_N,res^G_T)^t : H^2(G,M) \to H^2(N,M)^T \times H^2(T,M)$ into a
natural five term exact sequence consisting of one and two-dimensional
cohomology groups of the factors $N$ and $T$. The elements of $H^2(G,M)$ are
represented in terms of group extensions of $G$ by $M$ constructed from
extensions of $N$ and $T$.
|
math.GR
|
let g be a group which is the semidirect product of a normal subgroup n and a subgroup t and let m be a gmodule with not necessarily trivial gaction then we embed the simultaneous restriction map resresg_nresg_tt h2gm to h2nmt times h2tm into a natural five term exact sequence consisting of one and twodimensional cohomology groups of the factors n and t the elements of h2gm are represented in terms of group extensions of g by m constructed from extensions of n and t
|
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|
[-0.19489984256328968, 0.14172931104080705, -0.06999690252606099, -0.055026076692894735, -0.08698267991109411, -0.1490960638095602, 0.0422620497283344, 0.32833006123944025, -0.32871696891308555, -0.2645222546714472, 0.10448529657470516, -0.2675951420352226, -0.07276104309698339, 0.14402785538922905, -0.08369870612783949, -0.10371302927861263, 0.031551679698523225, 0.16253259771208212, -0.10036304297788841, -0.24232467382623837, 0.33402040893802554, -0.08818825660273433, 0.16924854766622913, -0.052365138195455074, 0.11702683908728564, -0.014906176581706216, -0.016934256319229197, 0.022035682159362406, -0.10094213972958486, 0.08056131911623042, 0.27383813041648486, 0.055888218123738356, 0.2148323622418613, -0.36515635558653897, -0.16784990340380407, 0.24011784723800858, 0.14855060518276308, -0.0871948917955728, 0.017578146807997058, -0.285600200749752, 0.13578255572810588, -0.20079795171637316, -0.0954012580772453, -0.04421338919413889, 0.12995470133212553, -0.03389049212948033, -0.32405067953599115, -0.015795914887836795, 0.08707280622237283, 0.07903760302209908, 0.005446414948049251, -0.12958826567614223, -0.07751972079504191, 0.12241643762056965, -0.023386222392706792, 0.08737648883834481, 0.08857310299368337, -0.047573715062221376, -0.099000305039581, 0.4401758048206386, -0.1566559727156035, -0.20732585336195258, 0.10657828530614696, -0.19240350325637293, -0.15463958304693423, 0.11103098108092459, 0.09214209117813081, 0.17227546246040884, -0.037026661800266036, 0.22910544094161084, -0.12342262074987335, 0.10233164477593652, 0.04615570679193408, -0.010219235120840916, 0.13867599216130813, 0.08948860446377317, 0.06687378145118313, 0.10855611565625067, 0.07170103041159852, 0.08247564396843678, -0.3583369884503687, -0.19705631015339595, -0.1302108559558713, 0.1718841500173212, -0.10058713715048592, -0.1454161571526173, 0.4007037172048557, 0.0010991216319181571, 0.22171806246496556, 0.09828088453136066, 0.18299474830671056, 0.05252356330932277, 0.0894071057143553, 0.11350282009622854, -0.016099231010984358, 0.23764857752305432, -0.1308327856297582, -0.16331287989997667, -0.035058014850109454, 0.19200526269879648]
|
707.0292
|
Constraints on oscillating dark energy models
|
The oscillating scenario of route to Lambda was recently proposed by us
arXiv:0704.1651 as an alternative to a cosmological constant in a explanation
of the current accelerating universe. In this scenario phantom scalar field
conformally coupled to gravity drives the accelerating phase of the universe.
In our model $\Lambda$CDM appears as a global attractor in the phase space. In
this paper we investigate observational constraints on this scenario from
recent measurements of distant supernovae type Ia, CMB R shift, BAO and $H(z)$
observational data. The Bayesian methods of model selection are used in
comparison the model with concordance $\Lambda$CDM one as well as with model
with dynamical dark energy parametrised by linear form. We conclude that
$\Lambda$CDM is favoured over FRW model with dynamical oscillating dark energy.
Our analysis also demonstrate that FRW model with oscillating dark energy is
favoured over FRW model with decaying dark energy parametrised in linear way.
|
astro-ph
|
the oscillating scenario of route to lambda was recently proposed by us arxiv07041651 as an alternative to a cosmological constant in a explanation of the current accelerating universe in this scenario phantom scalar field conformally coupled to gravity drives the accelerating phase of the universe in our model lambdacdm appears as a global attractor in the phase space in this paper we investigate observational constraints on this scenario from recent measurements of distant supernovae type ia cmb r shift bao and hz observational data the bayesian methods of model selection are used in comparison the model with concordance lambdacdm one as well as with model with dynamical dark energy parametrised by linear form we conclude that lambdacdm is favoured over frw model with dynamical oscillating dark energy our analysis also demonstrate that frw model with oscillating dark energy is favoured over frw model with decaying dark energy parametrised in linear way
|
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|
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|
707.0293
|
Irrational vs. rational charge and statistics in two-dimensional quantum
systems
|
We show that quasiparticle excitations with irrational charge and irrational
exchange statistics exist in tight-biding systems described, in the continuum
approximation, by the Dirac equation in (2+1)-dimensional space and time. These
excitations can be deconfined at zero temperature, but when they are, the
charge re-rationalizes to the value 1/2 and the exchange statistics to that of
"quartons" (half-semions).
|
cond-mat.str-el cond-mat.mes-hall hep-th math-ph math.MP
|
we show that quasiparticle excitations with irrational charge and irrational exchange statistics exist in tightbiding systems described in the continuum approximation by the dirac equation in 21dimensional space and time these excitations can be deconfined at zero temperature but when they are the charge rerationalizes to the value 12 and the exchange statistics to that of quartons halfsemions
|
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|
[-0.15950780810195614, 0.26909308414906263, -0.09501773709092629, 0.10238992541351101, 0.00633600384674289, -0.14105659362606027, 0.07577185366641391, 0.35240776240825655, -0.2513387738811699, -0.2840710405514322, 0.04275711399968714, -0.3649597711691802, -0.07996443212032318, 0.12295497740534218, 0.026600398698990994, 0.020226549137045035, -0.04336222155358304, 0.04212486842139201, -0.07240863087883388, -0.23920709795572542, 0.3107793189585209, -0.017128572850064798, 0.26399105357175523, 0.09678349941968918, 0.04749093178543262, 0.006841224948452278, 0.07748103976588358, 0.027922642209291967, -0.11760272135751702, 0.010844807394526222, 0.28533488539132207, -0.03880495435812257, 0.16848591960627923, -0.4075972003015605, -0.19733700916509736, 0.08487196766178716, 0.18721504384990442, 0.13518693558871747, -0.013317444920539856, -0.26860404881564054, 0.05943858675150709, -0.1588202552319589, -0.16405921298163859, -0.13764047919010575, 0.010773032243278894, 0.04416575709527189, -0.22555541362274778, 0.137281972525472, 0.053729298668490216, 0.029612194949930365, -0.07506633943200788, -0.1048089206896045, -0.09096759936179627, 0.08653352091099474, 0.0773360242897814, 0.03017970673231916, 0.10585083833641627, -0.14059060155837375, -0.12491327887400985, 0.37180839009921657, -0.0837072676809674, -0.2413015772334554, 0.14848879350518637, -0.2376248238904571, -0.08346766327423129, 0.16037766266275535, 0.1143381893571297, 0.06594425171444362, -0.08903190952180673, 0.10952422041141703, -0.011181404560127041, 0.1585784920575944, 0.03404158246280117, 0.07249991546638987, 0.2563593402166258, 0.043095551647076555, 0.041113624171438545, 0.05687621782576157, -0.04662847777151249, -0.1634635008151897, -0.30146955722434954, -0.12639019168405372, -0.23643882272087716, 0.07557987774383615, -0.047083362097989516, -0.17619084834375165, 0.3596643046983941, 0.15684638359499248, 0.16472713686525822, -0.003624863520433957, 0.21617010948671536, 0.21511098786511204, 0.04795087643221698, 0.12774174640124494, 0.2214890564283864, 0.11753095636059614, 0.11969007927585731, -0.258402151520237, -0.054845856020057746, 0.07088180788877335]
|
707.0294
|
Lifetime Difference in B_s mixing: Standard Model and beyond
|
We present a calculation of 1/m^2_b corrections to the lifetime differences
of B_s mesons \Delta \Gamma_s in the heavy-quark expansion. We find that they
are small to significantly affect \Delta \Gamma_s and present the result for
lifetime difference including non-perturbative 1/m_b and 1/m_b^2 corrections.
We also analyze the generic \Delta B = 1 New Physics contributions to \Delta
\Gamma_s and provide several examples.
|
hep-ph
|
we present a calculation of 1m2_b corrections to the lifetime differences of b_s mesons delta gamma_s in the heavyquark expansion we find that they are small to significantly affect delta gamma_s and present the result for lifetime difference including nonperturbative 1m_b and 1m_b2 corrections we also analyze the generic delta b 1 new physics contributions to delta gamma_s and provide several examples
|
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|
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|
707.0295
|
A Note on Heterotic Dualities via M-theory
|
We show that a class of torsional compactifications of the heterotic string
are dual to conventional Kahler heterotic string compactifications. This
observation follows from the recently proposed analogue of the c-map for the
heterotic string.
|
hep-th
|
we show that a class of torsional compactifications of the heterotic string are dual to conventional kahler heterotic string compactifications this observation follows from the recently proposed analogue of the cmap for the heterotic string
|
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|
[-0.12215663625725678, 0.1194958195356386, -0.03241371171815055, 0.19087657655389714, -0.19957315841955797, -0.14555051304133876, 0.00016365455729620796, 0.2660063003855092, -0.16526735589972563, -0.21588162098612104, 0.0817705188013081, -0.24269796439579555, -0.20481701658240387, 0.17562939977007253, -0.2040191195106932, 0.0005496000871062279, -0.0390975132850664, 0.05354513718214418, -0.12954631884848433, -0.3210557387343475, 0.40329468510712363, -0.00446123331785202, 0.4030299135084663, 0.006016240694693156, 0.12346291023173503, -0.12302491324288505, 0.01613692007958889, -0.008452100838933671, -0.13603371017982552, 0.2289437453661646, 0.29017476620418686, 0.07817082689476333, -0.024430256549801146, -0.4826424213392394, -0.29791096448898313, 0.1246366140831794, 0.1406803758681885, 0.20272219558246435, -0.003654401177274329, -0.2507904316165617, 0.12083527363969811, -0.14419585624709724, -0.09730081165076367, -0.05661557401929583, 0.04100137156035219, -0.05504247716494969, -0.19376061388424465, -0.052306784489857296, 0.03744746877678803, -0.014637582190334796, -0.07994594895280897, -0.03441394857530083, -0.052234961411782674, -0.017395540925541093, 0.22628748369004045, 0.11204627997108868, 0.11057533902515258, -0.18632216110958585, -0.22245094989027295, 0.30139258384172407, -0.1097819416650704, -0.1641592588275671, 0.037552258212651526, -0.046299397253564425, -0.26259269956499337, 0.10220198447683028, 0.015427898455943381, 0.22389905684228453, -0.04956798907369375, 0.3044463312253356, -0.0989734978548118, 0.0918157323928816, 0.1272792506297784, 0.05040826532723648, 0.28674655830753704, 0.17720454442980035, 0.045413879491388795, 0.15893233833568438, -0.08496351231421743, -0.1452272566301482, -0.5371887743473053, -0.09652888097168345, -0.06386765944106239, 0.26518606560836944, -0.10363778529156531, -0.23080936340349062, 0.3722567209175655, -0.007542736242924418, 0.17348035595911954, 0.12844884281179736, 0.10708828046917915, 0.012889999417322023, 0.05047463487301554, 0.022618796975751008, 0.2612613905753408, 0.16737631998424018, 0.07965328861027957, -0.2789552502533687, -0.267843802765544, 0.2971422231623105]
|
707.0296
|
Translations and dynamics
|
We analyze the role played by local translational symmetry in the context of
gauge theories of fundamental interactions. Translational connections and
fields are introduced, with special attention being paid to their universal
coupling to other variables, as well as to their contributions to field
equations and to conserved quantities.
|
gr-qc
|
we analyze the role played by local translational symmetry in the context of gauge theories of fundamental interactions translational connections and fields are introduced with special attention being paid to their universal coupling to other variables as well as to their contributions to field equations and to conserved quantities
|
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|
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|
707.0297
|
Fractal valence bond loops in a long-range Heisenberg model at
criticality
|
We present a valence bond theory of the spin-S quantum Heisenberg model. For
nonfrustracting, local exchange and dimension d > 1, it predicts a resonating
ground state with bond amplitudes h(r) ~ (a^2+r^2)^(-p/2) and decay exponent
p=d+1. Different values of p can be achieved by introducing frustrating (p >
d+1) or nonfrustrating (p < d+1) long-range interactions. For d=2, but not d=3,
there is a critical value of the decay exponent p_c above which the ground
state is a spin liquid. The phase transition is analogous to quantum
percolation, with fractal valence bond loops playing the role of percolating
clusters. The critical exponents are continuously tunable along the phase
boundary p=p_c(a,S).
|
cond-mat.str-el
|
we present a valence bond theory of the spins quantum heisenberg model for nonfrustracting local exchange and dimension d 1 it predicts a resonating ground state with bond amplitudes hr a2r2p2 and decay exponent pd1 different values of p can be achieved by introducing frustrating p d1 or nonfrustrating p d1 longrange interactions for d2 but not d3 there is a critical value of the decay exponent p_c above which the ground state is a spin liquid the phase transition is analogous to quantum percolation with fractal valence bond loops playing the role of percolating clusters the critical exponents are continuously tunable along the phase boundary pp_cas
|
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|
[-0.18567227191390254, 0.35020833771425086, -0.05466433741933612, 0.054531870304624766, 0.018829949962449834, -0.25339689403055954, 0.10485010831101906, 0.35382243926086143, -0.23332933683503562, -0.21730090824600595, 0.03324367061409598, -0.33835705419859063, -0.09774759752326645, 0.06818500463626921, 0.09916447048397878, 0.050412462588960455, -0.037501957413041964, 0.07784185861237347, -0.06037831115267741, -0.2094929412795374, 0.2980944482169434, -0.03877796703510775, 0.2588875297851001, 0.0822912025032565, -0.01199161189679916, 0.03552402237479468, 0.13693218384511197, 0.002438496180380193, -0.20743411439112747, 0.07020962605747627, 0.2230365235859958, -0.04521036745147565, 0.175003060981488, -0.34343035959710294, -0.21082183629131088, 0.1065528847281642, 0.15271138330437958, 0.11860223255867962, 0.02977018868058132, -0.3142904816598345, 0.03645560210302042, -0.15721005812744038, -0.20225166253154525, -0.06801281292707874, 0.07808930982047549, -0.05021737606735909, -0.2990185898737624, 0.12951723639315998, 0.08246985841273832, 0.11124145187652455, -0.063402286571755, -0.15036377670744863, -0.056364543337482385, 0.1396926011981962, 0.008047948986551581, 0.12361487561765198, 0.12180009524588688, -0.12940015454884046, -0.1505722397302564, 0.3369653440246251, 0.004530932937856191, -0.1325569765333337, 0.14306275055367643, -0.18451705021121037, -0.10058712049906787, 0.16300067661974865, 0.056099484817912944, 0.04852870563403345, -0.04132459630133011, 0.1143473670135091, 0.028714624960020255, 0.24203667891337177, 0.04880747683077621, -0.0060092318118012585, 0.18023330772456786, 0.14074576144608167, 0.08949763135303958, 0.14282986146393412, -0.09902360465373651, -0.18366068435044816, -0.27483515799618685, -0.14284342383213627, -0.22839049385556093, 0.09955043581444792, -0.17096732503957285, -0.17309084307187453, 0.3226920606640096, 0.06570766404127845, 0.17586598831705766, 0.006247545181675098, 0.13566380406085116, 0.1214624315751, 0.024897395507790722, 0.06415729225801232, 0.22085025739103842, 0.15082358807334317, 0.0701066881704789, -0.2251926341604513, 0.0872840916003602, 0.1336564055594723]
|
707.0298
|
Dimers and Orientifolds
|
We introduce new techniques based on brane tilings to investigate D3-branes
probing orientifolds of toric Calabi-Yau singularities. With these new tools,
one can write down many orientifold models and derive the resulting low-energy
gauge theories living on the D-branes. Using the set of ideas in this paper one
recovers essentially all orientifolded theories known so far. Furthermore, new
orientifolds of non-orbifold toric singularities are obtained. The possible
applications of the tools presented in this paper are diverse. One particular
application is the construction of models which feature dynamical supersymmetry
breaking as well as the computation of D-instanton induced superpotential
terms.
|
hep-th
|
we introduce new techniques based on brane tilings to investigate d3branes probing orientifolds of toric calabiyau singularities with these new tools one can write down many orientifold models and derive the resulting lowenergy gauge theories living on the dbranes using the set of ideas in this paper one recovers essentially all orientifolded theories known so far furthermore new orientifolds of nonorbifold toric singularities are obtained the possible applications of the tools presented in this paper are diverse one particular application is the construction of models which feature dynamical supersymmetry breaking as well as the computation of dinstanton induced superpotential terms
|
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|
[-0.11917961542843841, 0.0934420099388808, -0.049313233361463066, 0.1559974722226616, -0.11440948987845331, -0.18833741526701486, -0.024391060674097388, 0.2710964373999741, -0.21631826284108682, -0.2792288620304316, 0.13369667191873305, -0.23996858309023084, -0.2085623226733878, 0.1553322770842351, -0.14358269066986395, 0.017708769384771585, -0.01869482269976288, -0.014500964130274952, -0.08876525209809188, -0.3328601516853087, 0.3958391090296209, -0.024302720744162797, 0.2686139986664057, 0.06923391874879599, 0.10745701883919537, -0.027863722476176918, -0.034683755647856744, -0.015196067724900786, -0.1621306584123522, 0.15836492334492505, 0.26244833584038135, 0.11103237771429121, 0.07182956047356129, -0.4641662728600204, -0.2210205893937382, 0.11362377203186043, 0.1998462055809796, 0.19414310924359598, -0.014780574108008294, -0.26760920248925685, 0.06037244673469104, -0.1515080446563661, -0.1890708514896687, -0.1399210992269218, -0.06592897406313568, -0.016786567037925124, -0.18786404184065758, -0.025159571275580675, 0.022182258758402896, 0.08765600622165948, 0.008615176863968373, -0.0876605205796659, -0.08986042596865446, 0.08068585958797485, 0.1215618525701575, 0.04425034958869219, 0.1385407289257273, -0.18002629255875946, -0.19957975341938436, 0.3858569900691509, -0.009024581327103078, -0.2071015203364368, 0.18528536163736134, -0.07052241911645979, -0.21360357819590717, 0.07560778591781854, 0.10736156109720468, 0.22832851960323752, -0.13716233543120324, 0.2131325594795635, -0.009519744962453842, 0.06270377606502735, 0.1083955781441182, 0.09847397664561867, 0.24841689480701462, 0.13779409836512058, 0.05068376087525394, 0.12600646619219333, -0.036028355271555484, -0.10028829429356848, -0.41668079121038315, -0.09645341885538074, -0.10589955944218672, 0.13433285949053242, -0.11657039644182078, -0.20306665937416254, 0.39741613138467075, 0.11433975184569135, 0.17977725721895696, 0.05335609999136068, 0.23769099222961812, 0.043642711133143164, 0.06934445773251355, -0.00565904104616493, 0.19647946799523197, 0.10990902364253997, 0.05899543032282963, -0.1625596844323445, -0.1130482793552801, 0.1968866359582171]
|
707.0299
|
The distribution of smooth numbers in arithmetic progressions
|
For a wide range of $x$ and $y$ we show that ${\Cal S}(x,y)$, the set of
integers below $x$ composed only of prime factors below $y$, is equidistributed
in the reduced residue classes $\pmod q$ for all $q<y^{4\sqrt{e}-\epsilon}$.
This improves earlier work of Granville; any improvement of this range of $q$
would have interesting consequences for Vinogradov's conjecture on the least
quadratic non-residue. For larger ranges of $q$ we prove the existence of a
large subgroup of the group of reduced residues such that ${\Cal S}(x,y)$ is
equidistributed within cosets of that subgroup.
|
math.NT
|
for a wide range of x and y we show that cal sxy the set of integers below x composed only of prime factors below y is equidistributed in the reduced residue classes pmod q for all qy4sqrteepsilon this improves earlier work of granville any improvement of this range of q would have interesting consequences for vinogradovs conjecture on the least quadratic nonresidue for larger ranges of q we prove the existence of a large subgroup of the group of reduced residues such that cal sxy is equidistributed within cosets of that subgroup
|
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|
[-0.23430893053908064, 0.13778515641435818, -0.035558870133093515, 0.026111501927042136, -0.01606875877705929, -0.12442238905224139, 0.052539666689446436, 0.2908306338459901, -0.262402964720462, -0.2695624308417673, 0.03175105663578269, -0.2897227790748255, -0.08003400028278322, 0.23174758101611034, -0.09811113695563424, 0.010054874934924199, 0.03728744570348088, 0.08416088652270644, -0.11775246835263121, -0.3204759162010463, 0.31730094280741783, -0.05592741232122416, 0.16678459540454912, 0.045706889513973656, 0.09866209244153099, 0.035950578415118485, 0.06558667292879165, -0.009730475990142188, -0.15875014761814268, 0.10357929421487548, 0.2948682193072391, 0.09824263687377148, 0.259499374761894, -0.27853395236635825, -0.1674746938641993, 0.24183347711906486, 0.17755495412427041, -0.056530549889430404, -0.008931728822695415, -0.18409809703766572, 0.24685907156748252, -0.16410943852869145, -0.1450349710901956, -0.05301453317920475, 0.1661712240083548, 0.02579272277754448, -0.3111476091789487, 0.05619010596495608, 0.11847003066466878, 0.12632311659905573, -0.0027717545871501384, -0.26287078198409924, -0.015143982931951305, 0.06599643629084787, 0.0647380681273163, 0.08877305354310563, 0.08044243718335486, -0.0875069775932428, -0.07342420718835099, 0.34616982633166987, -0.08668080753768267, -0.13574236183953675, 0.0783723617458473, -0.22583232845341705, -0.1897048142981594, 0.18016168029735918, 0.1292404618377433, 0.17453587904531995, 0.006563585281938962, 0.21376466773306121, -0.16540480662850945, 0.16930916993980014, 0.1075386526189623, 0.032979372407957584, 0.1085361380474237, 0.08761057637267462, 0.08117813907776271, 0.10341691653973059, -0.005901503789177893, 0.04558733928665195, -0.3787740617990494, -0.17126005753348378, -0.14223006425511456, 0.13485869338467676, -0.1353895468281458, -0.14890079983793522, 0.35039104521274567, 0.10985917194604712, 0.18786011324782917, 0.10945514761640326, 0.1486166543630964, 0.08833839468871188, 0.06148736724508521, 0.05097612982069183, 0.13683483956138726, 0.15540605418019646, -0.08094045686353322, -0.16231991860600511, 8.622327637251304e-05, 0.09083050595717909]
|
707.03
|
Categorical aspects of toric topology
|
We argue for the addition of category theory to the toolkit of toric
topology, by surveying recent examples and applications. Our case is made in
terms of toric spaces X_K, such as moment-angle complexes Z_K, quasitoric
manifolds M, and Davis-Januszkiewicz spaces DJ(K). We first exhibit X_K as the
homotopy colimit of a diagram of spaces over the small category cat(K), whose
objects are the faces of a finite simplicial complex K and morphisms their
inclusions. Then we study the corresponding cat(K)-diagrams in various
algebraic Quillen model categories, and interpret their homotopy colimits as
algebraic models for X_K. Such models encode many standard algebraic
invariants, and their existence is assured by the Quillen structure. We provide
several illustrative calculations, often over the rationals, including proofs
that quasitoric manifolds (and various generalisations) are rationally formal;
that the rational Pontrjagin ring of the loop space \Omega DJ(K) is isomorphic
to the quadratic dual of the Stanley-Reisner algebra Q[K] for flag complexes K;
and that DJ(K) is coformal precisely when K is flag. We conclude by describing
algebraic models for the loop space \Omega DJ(K) for any complex K, which mimic
our previous description as a homotopy colimit of topological monoids.
|
math.AT math.CT
|
we argue for the addition of category theory to the toolkit of toric topology by surveying recent examples and applications our case is made in terms of toric spaces x_k such as momentangle complexes z_k quasitoric manifolds m and davisjanuszkiewicz spaces djk we first exhibit x_k as the homotopy colimit of a diagram of spaces over the small category catk whose objects are the faces of a finite simplicial complex k and morphisms their inclusions then we study the corresponding catkdiagrams in various algebraic quillen model categories and interpret their homotopy colimits as algebraic models for x_k such models encode many standard algebraic invariants and their existence is assured by the quillen structure we provide several illustrative calculations often over the rationals including proofs that quasitoric manifolds and various generalisations are rationally formal that the rational pontrjagin ring of the loop space omega djk is isomorphic to the quadratic dual of the stanleyreisner algebra qk for flag complexes k and that djk is coformal precisely when k is flag we conclude by describing algebraic models for the loop space omega djk for any complex k which mimic our previous description as a homotopy colimit of topological monoids
|
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|
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|
707.0301
|
Anatomy of the binary black hole recoil: A multipolar analysis
|
We present a multipolar analysis of the gravitational recoil computed in
recent numerical simulations of binary black hole (BH) coalescence, for both
unequal masses and non-zero, non-precessing spins. We show that multipole
moments up to and including l=4 are sufficient to accurately reproduce the
final recoil velocity (within ~2%) and that only a few dominant modes
contribute significantly to it (within ~5%). We describe how the relative
amplitudes, and more importantly, the relative phases, of these few modes
control the way in which the recoil builds up throughout the inspiral, merger,
and ringdown phases. We also find that the numerical results can be reproduced
by an ``effective Newtonian'' formula for the multipole moments obtained by
replacing the radial separation in the Newtonian formulae with an effective
radius computed from the numerical data. Beyond the merger, the numerical
results are reproduced by a superposition of three Kerr quasi-normal modes
(QNMs). Analytic formulae, obtained by expressing the multipole moments in
terms of the fundamental QNMs of a Kerr BH, are able to explain the onset and
amount of ``anti-kick'' for each of the simulations. Lastly, we apply this
multipolar analysis to help explain the remarkable difference between the
amplitudes of planar and non-planar kicks for equal-mass spinning black holes.
|
gr-qc astro-ph
|
we present a multipolar analysis of the gravitational recoil computed in recent numerical simulations of binary black hole bh coalescence for both unequal masses and nonzero nonprecessing spins we show that multipole moments up to and including l4 are sufficient to accurately reproduce the final recoil velocity within 2 and that only a few dominant modes contribute significantly to it within 5 we describe how the relative amplitudes and more importantly the relative phases of these few modes control the way in which the recoil builds up throughout the inspiral merger and ringdown phases we also find that the numerical results can be reproduced by an effective newtonian formula for the multipole moments obtained by replacing the radial separation in the newtonian formulae with an effective radius computed from the numerical data beyond the merger the numerical results are reproduced by a superposition of three kerr quasinormal modes qnms analytic formulae obtained by expressing the multipole moments in terms of the fundamental qnms of a kerr bh are able to explain the onset and amount of antikick for each of the simulations lastly we apply this multipolar analysis to help explain the remarkable difference between the amplitudes of planar and nonplanar kicks for equalmass spinning black holes
|
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|
[-0.11100126870577157, 0.14342795719738752, -0.061229542419674314, 0.09755936660410179, -0.05399771391049675, -0.057589839407746736, 0.009342689748745466, 0.3249936030169832, -0.16983156183122652, -0.2999271398819623, 0.04030997521167504, -0.2850505070657366, -0.1043923650664721, 0.2372874005018297, 0.01915424718670007, 0.02547121466618877, 0.05937069401444174, 0.0143737622777423, -0.12393585296577193, -0.20013711843957363, 0.30224777972723577, 0.052176171015601625, 0.15796030467097166, -0.0009609052049814934, 0.07042216418754166, -0.008788301067309823, -0.0245247603909243, 0.014126098132129885, -0.1609667572299351, 0.08110759114612631, 0.2368276949144072, 0.10249907861054304, 0.16815846622169325, -0.4226996293966321, -0.1695931454926981, 0.029136025569523157, 0.2005904007518601, 0.18419102766238388, -0.0691248267451903, -0.26234128438487453, 0.09711452210850671, -0.2527357711825646, -0.1692363343939437, -0.13668319254951633, 0.06514734207935956, 0.036797094001358256, -0.2564328894747988, 0.14338984702343172, 0.08123767360318554, -0.047435810890696616, -0.08603158510618523, -0.0929324862677694, -0.02834141275458542, 0.10640198703751796, 0.10360453738622898, 0.007059188298701088, 0.12154005317395364, -0.07607392416698948, -0.1270295008342119, 0.37230569078105585, -0.06376376704893251, -0.1780206647562088, 0.1629006960676704, -0.2525903360046737, -0.08192863181044442, 0.1565247491038076, 0.16969660057231856, 0.1559136679827951, -0.12393890263953927, 0.014264300506357283, 0.048763552079413644, 0.17918477459599214, 0.14230232900750917, -0.007427042565007069, 0.3143825720059843, 0.07838605808157131, -0.035217300671544195, 0.11832459514863915, -0.10992458936474893, -0.07673909937162042, -0.30098869179146015, -0.08215764083490136, -0.18325125397596922, 0.031194338743160997, -0.16997281570109293, -0.12281525714529885, 0.3890774642895673, 0.13463046459496866, 0.19617776956031288, 0.06414932944836625, 0.30917478638123913, 0.11171643360285088, 0.04688277171591774, 0.08527793316508009, 0.3576677496081605, 0.17869096206150192, 0.06000250814848687, -0.29124217871902736, -0.02462705871672932, 0.06730371297692547]
|
707.0302
|
Muon Acceleration to 750 GeV in the Tevatron Tunnel for a 1.5 TeV mu+
mu- Collider
|
Muon acceleration from 30 to 750 GeV in 72 orbits using two rings in the
1000m radius Tevatron tunnel is explored. The first ring ramps at 400 Hz and
accelerates muons from 30 to 400 GeV in 28 orbits using 14 GV of 1.3 GHz
superconducting RF. The ring duplicates the Fermilab 400 GeV main ring FODO
lattice, which had a 61m cell length. Muon survival is 80%. The second ring
accelerates muons from 400 to 750 GeV in 44 orbits using 8 GV of 1.3 GHz
superconducting RF. The 30 T/m main ring quadrupoles are lengthened 87% to
3.3m. The four main ring dipoles in each half cell are replaced by three
dipoles which ramp at 550 Hz from -1.8T to +1.8T interleaved with two 8T fixed
superconducting dipoles. The ramping and superconducting dipoles oppose each
other at 400 GeV and act in unison at 750 GeV. Muon survival is 92%. Two mm
copper wire, 0.28mm grain oriented silicon steel laminations, and a low duty
cycle mitigate eddy current losses. Low emittance muon bunches allow small
aperatures and permit magnets to ramp with a few thousand volts. Little civil
construction is required. The tunnel exists.
|
physics.acc-ph
|
muon acceleration from 30 to 750 gev in 72 orbits using two rings in the 1000m radius tevatron tunnel is explored the first ring ramps at 400 hz and accelerates muons from 30 to 400 gev in 28 orbits using 14 gv of 13 ghz superconducting rf the ring duplicates the fermilab 400 gev main ring fodo lattice which had a 61m cell length muon survival is 80 the second ring accelerates muons from 400 to 750 gev in 44 orbits using 8 gv of 13 ghz superconducting rf the 30 tm main ring quadrupoles are lengthened 87 to 33m the four main ring dipoles in each half cell are replaced by three dipoles which ramp at 550 hz from 18t to 18t interleaved with two 8t fixed superconducting dipoles the ramping and superconducting dipoles oppose each other at 400 gev and act in unison at 750 gev muon survival is 92 two mm copper wire 028mm grain oriented silicon steel laminations and a low duty cycle mitigate eddy current losses low emittance muon bunches allow small aperatures and permit magnets to ramp with a few thousand volts little civil construction is required the tunnel exists
|
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|
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|
707.0303
|
Learning from dependent observations
|
In most papers establishing consistency for learning algorithms it is assumed
that the observations used for training are realizations of an i.i.d. process.
In this paper we go far beyond this classical framework by showing that support
vector machines (SVMs) essentially only require that the data-generating
process satisfies a certain law of large numbers. We then consider the
learnability of SVMs for $\a$-mixing (not necessarily stationary) processes for
both classification and regression, where for the latter we explicitly allow
unbounded noise.
|
stat.ML stat.ME
|
in most papers establishing consistency for learning algorithms it is assumed that the observations used for training are realizations of an iid process in this paper we go far beyond this classical framework by showing that support vector machines svms essentially only require that the datagenerating process satisfies a certain law of large numbers we then consider the learnability of svms for amixing not necessarily stationary processes for both classification and regression where for the latter we explicitly allow unbounded noise
|
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|
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|
707.0304
|
Cold Disks: Spitzer Spectroscopy of Disks around Young Stars with Large
Gaps
|
We have identified four circumstellar disks with a deficit of dust emission
from their inner 15-50 AU. All four stars have F-G spectral type, and were
uncovered as part of the Spitzer Space Telescope ``Cores to Disks'' Legacy
Program Infrared Spectrograph (IRS) first look survey of ~100 pre-main sequence
stars. Modeling of the spectral energy distributions indicates a reduction in
dust density by factors of 100-1000 from disk radii between ~0.4 and 15-50 AU,
but with massive gas-rich disks at larger radii. This large contrast between
the inner and outer disk has led us to use the term `cold disks' to distinguish
these unusual systems. However, hot dust [0.02-0.2 Mmoon] is still present
close to the central star (R ~0.8 AU). We introduce the 30/13 micron, flux
density ratio as a new diagnostic for identifying cold disks. The mechanisms
for dust clearing over such large gaps are discussed. Though rare, cold disks
are likely in transition from an optically thick to an optically thin state,
and so offer excellent laboratories for the study of planet formation.
|
astro-ph
|
we have identified four circumstellar disks with a deficit of dust emission from their inner 1550 au all four stars have fg spectral type and were uncovered as part of the spitzer space telescope cores to disks legacy program infrared spectrograph irs first look survey of 100 premain sequence stars modeling of the spectral energy distributions indicates a reduction in dust density by factors of 1001000 from disk radii between 04 and 1550 au but with massive gasrich disks at larger radii this large contrast between the inner and outer disk has led us to use the term cold disks to distinguish these unusual systems however hot dust 00202 mmoon is still present close to the central star r 08 au we introduce the 3013 micron flux density ratio as a new diagnostic for identifying cold disks the mechanisms for dust clearing over such large gaps are discussed though rare cold disks are likely in transition from an optically thick to an optically thin state and so offer excellent laboratories for the study of planet formation
|
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|
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|
707.0305
|
The Quasar Accretion Disk Size - Black Hole Mass Relation
|
We use the microlensing variability observed for nine gravitationally lensed
quasars to show that the accretion disk size at 2500 Angstroms is related to
the black hole mass by log(R_2500/cm) = (15.6+-0.2) +
(0.54+-0.28)log(M_BH/10^9M_sun). This scaling is consistent with the
expectation from thin disk theory (R ~ M_BH^(2/3)), but it implies that black
holes radiate with relatively low efficiency, log(eta) = -1.29+-0.44 +
log(L/L_E) where eta=L/(Mdot c^2). These sizes are also larger, by a factor of
~3, than the size needed to produce the observed 0.8 micron quasar flux by
thermal radiation from a thin disk with the same T ~ R^(-3/4) temperature
profile. More sophisticated disk models are clearly required, particularly as
our continuing observations improve the precision of the measurements and yield
estimates of the scaling with wavelength and accretion rate.
|
astro-ph
|
we use the microlensing variability observed for nine gravitationally lensed quasars to show that the accretion disk size at 2500 angstroms is related to the black hole mass by logr_2500cm 15602 054028logm_bh109m_sun this scaling is consistent with the expectation from thin disk theory r m_bh23 but it implies that black holes radiate with relatively low efficiency logeta 129044 logll_e where etalmdot c2 these sizes are also larger by a factor of 3 than the size needed to produce the observed 08 micron quasar flux by thermal radiation from a thin disk with the same t r34 temperature profile more sophisticated disk models are clearly required particularly as our continuing observations improve the precision of the measurements and yield estimates of the scaling with wavelength and accretion rate
|
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|
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|
707.0306
|
The Nature of Stellar Winds in the Star-Disk Interaction
|
Stellar winds may be important for angular momentum transport from accreting
T Tauri stars, but the nature of these winds is still not well-constrained. We
present some simulation results for hypothetical, hot (~1e6 K) coronal winds
from T Tauri stars, and we calculate the expected emission properties. For the
high mass loss rates required to solve the angular momentum problem, we find
that the radiative losses will be much greater than can be powered by the
accretion process. We place an upper limit to the mass loss rate from
accretion-powered coronal winds of ~1e-11 solar masses per year. We conclude
that accretion powered stellar winds are still a promising scenario for solving
the stellar angular momentum problem, but the winds must be cool (~1e4 K) and
thus are not driven by thermal pressure.
|
astro-ph
|
stellar winds may be important for angular momentum transport from accreting t tauri stars but the nature of these winds is still not wellconstrained we present some simulation results for hypothetical hot 1e6 k coronal winds from t tauri stars and we calculate the expected emission properties for the high mass loss rates required to solve the angular momentum problem we find that the radiative losses will be much greater than can be powered by the accretion process we place an upper limit to the mass loss rate from accretionpowered coronal winds of 1e11 solar masses per year we conclude that accretion powered stellar winds are still a promising scenario for solving the stellar angular momentum problem but the winds must be cool 1e4 k and thus are not driven by thermal pressure
|
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|
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|
707.0307
|
Quasi-angular momentum of Bose and Fermi gases in rotating optical
lattices
|
The notion of quasi-angular momentum is introduced to label the eigenstates
of a Hamiltonian with a discrete rotational symmetry. This concept is recast in
an operatorial form where the creation and annihilation operators of a Hubbard
Hamiltonian carry units of quasi-angular momentum. Using this formalism, the
ground states of ultracold gases of non-interacting fermions in rotating
optical lattices are studied as a function of rotation, and transitions between
states of different quasi-angular momentum are identified. In addition,
previous results for strongly-interacting bosons are re-examined and compared
to the results for non-interacting fermions. Quasi-angular momentum can be used
to distinguish between these two cases. Finally, an experimentally accessible
signature of quasi-angular momentum is identified in the momentum distributions
of single-particle eigenstates.
|
cond-mat.other
|
the notion of quasiangular momentum is introduced to label the eigenstates of a hamiltonian with a discrete rotational symmetry this concept is recast in an operatorial form where the creation and annihilation operators of a hubbard hamiltonian carry units of quasiangular momentum using this formalism the ground states of ultracold gases of noninteracting fermions in rotating optical lattices are studied as a function of rotation and transitions between states of different quasiangular momentum are identified in addition previous results for stronglyinteracting bosons are reexamined and compared to the results for noninteracting fermions quasiangular momentum can be used to distinguish between these two cases finally an experimentally accessible signature of quasiangular momentum is identified in the momentum distributions of singleparticle eigenstates
|
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|
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|
707.0308
|
The Teichm\"uller distance between finite index subgroups of
$PSL_2(\mathbb{Z})$
|
For a given $\epsilon >0$, we show that there exist two finite index
subgroups of $PSL_2(\mathbb{Z})$ which are $(1+\epsilon)$-quasisymmetrically
conjugated and the conjugation homeomorphism is not conformal. This implies
that for any $\epsilon>0$ there are two finite regular covers of the Modular
once punctured torus $T_0$ (or just the Modular torus) and a
$(1+\epsilon)$-quasiconformal between them that is not homotopic to a conformal
map. As an application of the above results, we show that the orbit of the
basepoint in the Teichm\"uller space $T(\S)$ of the punctured solenoid $\S$
under the action of the corresponding Modular group (which is the mapping class
group of $\S$ \cite{NS}, \cite{Odd}) has the closure in $T(\S)$ strictly larger
than the orbit and that the closure is necessarily uncountable.
|
math.CV math.GT
|
for a given epsilon 0 we show that there exist two finite index subgroups of psl_2mathbbz which are 1epsilonquasisymmetrically conjugated and the conjugation homeomorphism is not conformal this implies that for any epsilon0 there are two finite regular covers of the modular once punctured torus t_0 or just the modular torus and a 1epsilonquasiconformal between them that is not homotopic to a conformal map as an application of the above results we show that the orbit of the basepoint in the teichmuller space ts of the punctured solenoid s under the action of the corresponding modular group which is the mapping class group of s citens citeodd has the closure in ts strictly larger than the orbit and that the closure is necessarily uncountable
|
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|
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|
707.0309
|
Dynamic range of hypercubic stochastic excitable media
|
We study the response properties of d-dimensional hypercubic excitable
networks to a stochastic stimulus. Each site, modelled either by a three-state
stochastic susceptible-infected-recovered-susceptible system or by the
probabilistic Greenberg-Hastings cellular automaton, is continuously and
independently stimulated by an external Poisson rate h. The response function
(mean density of active sites rho versus h) is obtained via simulations (for
d=1, 2, 3, 4) and mean field approximations at the single-site and pair levels
(for all d). In any dimension, the dynamic range of the response function is
maximized precisely at the nonequilibrium phase transition to self-sustained
activity, in agreement with a reasoning recently proposed. Moreover, the
maximum dynamic range attained at a given dimension d is a decreasing function
of d.
|
q-bio.NC cond-mat.dis-nn cond-mat.stat-mech nlin.CG physics.bio-ph
|
we study the response properties of ddimensional hypercubic excitable networks to a stochastic stimulus each site modelled either by a threestate stochastic susceptibleinfectedrecoveredsusceptible system or by the probabilistic greenberghastings cellular automaton is continuously and independently stimulated by an external poisson rate h the response function mean density of active sites rho versus h is obtained via simulations for d1 2 3 4 and mean field approximations at the singlesite and pair levels for all d in any dimension the dynamic range of the response function is maximized precisely at the nonequilibrium phase transition to selfsustained activity in agreement with a reasoning recently proposed moreover the maximum dynamic range attained at a given dimension d is a decreasing function of d
|
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|
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|
707.031
|
Path integral representations in noncommutative quantum mechanics and
noncommutative version of Berezin-Marinov action
|
It is known that actions of field theories on a noncommutative space-time can
be written as some modified (we call them $\theta$-modified) classical actions
already on the commutative space-time (introducing a star product). Then the
quantization of such modified actions reproduces both space-time
noncommutativity and usual quantum mechanical features of the corresponding
field theory. The $\theta$-modification for arbitrary finite-dimensional
nonrelativistic system was proposed by Deriglazov (2003). In the present
article, we discuss the problem of constructing $\theta$-modified actions for
relativistic QM. We construct such actions for relativistic spinless and
spinning particles. The key idea is to extract $\theta$-modified actions of the
relativistic particles from path integral representations of the corresponding
noncommtative field theory propagators. We consider Klein-Gordon and Dirac
equations for the causal propagators in such theories. Then we construct for
the propagators path-integral representations. Effective actions in such
representations we treat as $\theta$-modified actions of the relativistic
particles. To confirm the interpretation, we quantize canonically these
actions. Thus, we obtain the Klein-Gordon and Dirac equations in the
noncommutative field theories. The $\theta$-modified action of the relativistic
spinning particle is just a generalization of the Berezin-Marinov
pseudoclassical action for the noncommutative case.
|
hep-th
|
it is known that actions of field theories on a noncommutative spacetime can be written as some modified we call them thetamodified classical actions already on the commutative spacetime introducing a star product then the quantization of such modified actions reproduces both spacetime noncommutativity and usual quantum mechanical features of the corresponding field theory the thetamodification for arbitrary finitedimensional nonrelativistic system was proposed by deriglazov 2003 in the present article we discuss the problem of constructing thetamodified actions for relativistic qm we construct such actions for relativistic spinless and spinning particles the key idea is to extract thetamodified actions of the relativistic particles from path integral representations of the corresponding noncommtative field theory propagators we consider kleingordon and dirac equations for the causal propagators in such theories then we construct for the propagators pathintegral representations effective actions in such representations we treat as thetamodified actions of the relativistic particles to confirm the interpretation we quantize canonically these actions thus we obtain the kleingordon and dirac equations in the noncommutative field theories the thetamodified action of the relativistic spinning particle is just a generalization of the berezinmarinov pseudoclassical action for the noncommutative case
|
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|
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|
707.0311
|
On the maximum size of an anti-chain of linearly separable sets and
convex pseudo-discs
|
We show that the maximum cardinality of an anti-chain composed of
intersections of a given set of n points in the plane with half-planes is close
to quadratic in n. We approach this problem by establishing the equivalence
with the problem of the maximum monotone path in an arrangement of n lines. For
a related problem on antichains in families of convex pseudo-discs we can
establish the precise asymptotic bound: it is quadratic in n. The sets in such
a family are characterized as intersections of a given set of n points with
convex sets, such that the difference between the convex hulls of any two sets
is nonempty and connected.
|
math.MG
|
we show that the maximum cardinality of an antichain composed of intersections of a given set of n points in the plane with halfplanes is close to quadratic in n we approach this problem by establishing the equivalence with the problem of the maximum monotone path in an arrangement of n lines for a related problem on antichains in families of convex pseudodiscs we can establish the precise asymptotic bound it is quadratic in n the sets in such a family are characterized as intersections of a given set of n points with convex sets such that the difference between the convex hulls of any two sets is nonempty and connected
|
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|
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|
707.0312
|
Stellar Populations in the Outskirts of the Small Magellanic Cloud: No
Outer Edge Yet
|
We report the detection of intermediate-age and old stars belonging to the
SMC at 6.5 kpc from the SMC center in the southern direction. We show, from the
analysis of three high quality 34\arcmin $\times$ 33\arcmin CMDs, that the age
composition of the stellar population is similar at galactocentric distances of
$\thicksim$4.7 kpc, $\thicksim$5.6 kpc, and $\thicksim$6.5 kpc. The surface
brightness profile of the SMC follows an exponential law, with no evidence of
truncation, all the way out to 6.5 kpc. These results, taken together, suggest
that the SMC `disk' population is dominating over a possible old Milky Way-like
stellar halo, and that the SMC may be significantly larger than previously
thought.
|
astro-ph
|
we report the detection of intermediateage and old stars belonging to the smc at 65 kpc from the smc center in the southern direction we show from the analysis of three high quality 34arcmin times 33arcmin cmds that the age composition of the stellar population is similar at galactocentric distances of thicksim47 kpc thicksim56 kpc and thicksim65 kpc the surface brightness profile of the smc follows an exponential law with no evidence of truncation all the way out to 65 kpc these results taken together suggest that the smc disk population is dominating over a possible old milky waylike stellar halo and that the smc may be significantly larger than previously thought
|
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|
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|
707.0313
|
Differential Equations Driven by Gaussian Signals I
|
We consider multi-dimensional Gaussian processes and give a new condition on
the covariance, simple and sharp, for the existence of stochastic area(s).
Gaussian rough paths are constructed with a variety of weak and strong
approximation results. Together with a new RKHS embedding, we obtain a powerful
- yet conceptually simple - framework in which to analysize differential
equations driven by Gaussian signals in the rough paths sense.
|
math.PR
|
we consider multidimensional gaussian processes and give a new condition on the covariance simple and sharp for the existence of stochastic areas gaussian rough paths are constructed with a variety of weak and strong approximation results together with a new rkhs embedding we obtain a powerful yet conceptually simple framework in which to analysize differential equations driven by gaussian signals in the rough paths sense
|
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|
[-0.07285277911796584, 0.088320568218478, -0.11251146086578956, 0.12054851550783496, -0.1298939604748739, -0.15651262711617164, 0.046123772030114196, 0.3757074086170178, -0.3190687820315361, -0.23411091133311857, 0.06945562109103776, -0.21633134735748172, -0.1921757963427808, 0.2363944129756419, -0.09298594004940242, 0.07202544860047055, 0.07909677566203754, -0.018234612158266827, -0.06549057296069805, -0.20539105730131269, 0.34473084869046033, -0.0013392540131462738, 0.2562543273088522, -0.016088236108771525, 0.16592946095624939, 0.047215136597515084, -0.0563666376110632, 0.04325033334316686, -0.18899941017116362, 0.16004818933288334, 0.23053920836537145, 0.08221003953804029, 0.2858507504570298, -0.4385905790986726, -0.25332166335283546, 0.09528161687921965, 0.07507972775738381, 0.10247290714141855, -0.09924310968744976, -0.3124035856599221, 0.05827784435314243, -0.08357984671602026, -0.1426699248040677, -0.12657360088996938, -0.02331376587972045, 0.05437122119474225, -0.34472786253900267, 0.08334163911058567, 0.11310754619626096, 0.020002029541501543, -0.010600560715829488, -0.07617477311214316, 0.06503073645581026, 0.050501742196502164, -0.02873976018418034, -0.0017449011702410644, 0.03426772014790913, -0.09655302089231554, -0.13171921922366892, 0.3069628022640245, -0.13291452300472884, -0.26796704705338925, 0.22800645700772293, -0.10294787791644922, -0.12569923030241625, 0.14755169537238544, 0.2017568559240317, 0.10846276153461076, -0.2424236999140703, 0.09856899146416254, -0.06597581288951915, 0.06655805329501163, 0.038186380443221424, 0.031760517609654926, 0.13900582891801605, 0.13733076406060718, 0.13133336375904037, 0.13898305477414397, -0.04249138002705877, -0.14729267009533942, -0.34300691639055003, -0.11451420106459409, -0.12771212354346062, 0.05727644471335225, -0.1318777256667545, -0.2508986956672743, 0.3522047812730307, 0.07139534805901349, 0.2531193082832033, 0.09695779848152597, 0.28249307998339646, 0.17660100855573546, -0.016769554931670427, 0.0768551172077423, 0.17767958156764507, 0.2112311892597063, 0.06860784158925526, -0.06756790986491978, 0.06648379643229418, 0.0865680053975666]
|
707.0314
|
Interpolation of SUSY quantum mechanics
|
Interpolation of two adjacent Hamiltonians in SUSY quantum mechanics
$H_s=(1-s)A^{\dagger}A + sAA^{\dagger}$, $0\le s\le 1$ is discussed together
with related operators. For a wide variety of shape-invariant degree one
quantum mechanics and their `discrete' counterparts, the interpolation
Hamiltonian is also shape-invariant, that is it takes the same form as the
original Hamiltonian with shifted coupling constant(s).
|
math-ph hep-th math.MP nucl-th
|
interpolation of two adjacent hamiltonians in susy quantum mechanics h_s1sadaggera saadagger 0le sle 1 is discussed together with related operators for a wide variety of shapeinvariant degree one quantum mechanics and their discrete counterparts the interpolation hamiltonian is also shapeinvariant that is it takes the same form as the original hamiltonian with shifted coupling constants
|
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|
[-0.12207074206814451, 0.1859582307976934, -0.061197694531589186, 0.09017163490270318, -0.07173320215705009, -0.25331420060422905, -0.0618775705806911, 0.36879427513142804, -0.2904397936291852, -0.22372231172081433, 0.056614178995039524, -0.2872799518781732, -0.15573248003591905, 0.18433746895840708, -0.017668487433836144, 0.11509922663417627, 0.041556947376965636, 0.04328904733202368, -0.10459987549901993, -0.21478932073234386, 0.2835812529302993, -0.04632867384649251, 0.1858666155065568, 0.0037113043374188666, 0.09778409663868963, 0.052674077363368474, 0.0823239048872635, -0.035735282502224984, -0.12324135099114292, 0.12632603041897966, 0.238528911015546, 0.05703933763686778, 0.22904754308807962, -0.36624883582710094, -0.2009771857937833, 0.10040426354433568, 0.12470102224516559, 0.10173224169268923, -0.0030666845543134325, -0.26385856013885645, 0.006326701738080889, -0.12160861675593483, -0.1680155890589615, -0.082907049969401, 0.028037209924802464, 0.02508535271264472, -0.21663472435946735, 0.07265858018698329, 0.07630078184620459, 0.0742445290440096, -0.0511844627699762, -0.13111287114684875, -0.04481257062475636, 0.07299572263651018, -0.02577543361024615, 0.032359486241508625, 0.06638513268235158, -0.0851574618509918, -0.15591075797213838, 0.4593934037564498, 0.011802017609676663, -0.25854804844788787, 0.18700915638287113, -0.10839590340641872, -0.15840623000601553, 0.09772881330869529, 0.056774537781921194, 0.07935078522653917, -0.11893795005414846, 0.21450128949155048, 0.0036017908275408567, 0.11132433040524428, 0.07101521003147904, 0.08922827395803805, 0.1553432582262552, 0.035540346832691146, 0.07412280460362727, 0.11454086882536704, 0.022248045583079867, -0.2507546041863707, -0.36710150339552816, -0.18711715541727278, -0.259957238645205, 0.106604349202002, -0.16631543072229382, -0.16174641809478965, 0.4224298839009244, 0.10833492238109685, 0.19207157121690097, 0.04553330566663787, 0.20568946804763433, 0.2064233469174964, 0.09385927787538231, 0.002362764660128445, 0.22113530485416358, 0.179624140438325, 0.06187088015700146, -0.18699800221574545, -0.0438549048706608, 0.12771783361896732]
|
707.0315
|
How many random edges make a dense hypergraph non-2-colorable?
|
We study a model of random uniform hypergraphs, where a random instance is
obtained by adding random edges to a large hypergraph of a given density. We
obtain a tight bound on the number of random edges required to ensure
non-2-colorability. We prove that for any k-uniform hypergraph with
Omega(n^{k-epsilon}) edges, adding omega(n^{k epsilon/2}) random edges makes
the hypergraph almost surely non-2-colorable. This is essentially tight, since
there is a 2-colorable hypergraph with Omega(n^{k-\epsilon}) edges which almost
surely remains 2-colorable even after adding o(n^{k \epsilon / 2}) random
edges.
|
math.CO
|
we study a model of random uniform hypergraphs where a random instance is obtained by adding random edges to a large hypergraph of a given density we obtain a tight bound on the number of random edges required to ensure non2colorability we prove that for any kuniform hypergraph with omegankepsilon edges adding omegank epsilon2 random edges makes the hypergraph almost surely non2colorable this is essentially tight since there is a 2colorable hypergraph with omegankepsilon edges which almost surely remains 2colorable even after adding onk epsilon 2 random edges
|
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|
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|
707.0316
|
Occupation time fluctuations of Poisson and equilibrium branching
systems in critical and large dimensions
|
Limit theorems are presented for the rescaled occupation time fluctuation
process of a critical finite variance branching particle system in
$\mathbb{R}^{d}$ with symmetric $\alpha$-stable motion starting off from either
a standard Poisson random field or the equilibrium distribution for critical
$d=2\alpha$ and large $d>2\alpha$ dimensions. The limit processes are
generalised Wiener processes. The obtained convergence is in space-time,
finite-dimensional distributions sense. With the addtional assumption on the
branching law we obtain functional convergence.
|
math.PR
|
limit theorems are presented for the rescaled occupation time fluctuation process of a critical finite variance branching particle system in mathbbrd with symmetric alphastable motion starting off from either a standard poisson random field or the equilibrium distribution for critical d2alpha and large d2alpha dimensions the limit processes are generalised wiener processes the obtained convergence is in spacetime finitedimensional distributions sense with the addtional assumption on the branching law we obtain functional convergence
|
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|
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|
707.0317
|
Signatures of black holes at the LHC
|
Signatures of black hole events at CERN's Large Hadron Collider are
discussed. Event simulations are carried out with the Fortran Monte Carlo
generator CATFISH. Inelasticity effects, exact field emissivities, color and
charge conservation, corrections to semiclassical black hole evaporation,
gravitational energy loss at formation and possibility of a black hole remnant
are included in the analysis.
|
hep-ph gr-qc hep-th
|
signatures of black hole events at cerns large hadron collider are discussed event simulations are carried out with the fortran monte carlo generator catfish inelasticity effects exact field emissivities color and charge conservation corrections to semiclassical black hole evaporation gravitational energy loss at formation and possibility of a black hole remnant are included in the analysis
|
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|
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|
707.0318
|
Pressure induced enhancement of ferroelectricity in multiferroic
$R$Mn$_2$O$_5$($R$=Tb,Dy, and Ho)
|
Measurements of ferroelectric polarization and dielectric constant were done
on $R$Mn$_2$O$_5$ ($R$=Tb, Dy, and Ho) with applied hydrostatic pressures of up
to 18 kbar. At ambient pressure, distinctive anomalies were observed in the
temperature profile of both physical properties at critical temperatures
marking the onset of long range AFM order (T$_{N1}$), ferroelectricity
(T$_{C1}$) as well as at temperatures when anomalous changes in the
polarization, dielectric constant and spin wave commensurability have been
previously reported. In particular, the step in the dielectric constant at low
temperatures (T$_{C2}$), associated with both a drop in the ferroelectric
polarization and an incommensurate magnetic structure, was shown to be suddenly
quenched upon passing an $R$-dependent critical pressure. This was shown to
correlate with the stabilization of the high ferroelectric polarization state
which is coincident with the commensurate magnetic structure. The observation
is suggested to be due to a pressure induced phase transition into a
commensurate magnetic structure as exemplified by the pressure-temperature
($p$-$T$) phase diagrams constructed in this work. The $p$-$T$ phase diagrams
are determined for all three compounds.
|
cond-mat.str-el
|
measurements of ferroelectric polarization and dielectric constant were done on rmn_2o_5 rtb dy and ho with applied hydrostatic pressures of up to 18 kbar at ambient pressure distinctive anomalies were observed in the temperature profile of both physical properties at critical temperatures marking the onset of long range afm order t_n1 ferroelectricity t_c1 as well as at temperatures when anomalous changes in the polarization dielectric constant and spin wave commensurability have been previously reported in particular the step in the dielectric constant at low temperatures t_c2 associated with both a drop in the ferroelectric polarization and an incommensurate magnetic structure was shown to be suddenly quenched upon passing an rdependent critical pressure this was shown to correlate with the stabilization of the high ferroelectric polarization state which is coincident with the commensurate magnetic structure the observation is suggested to be due to a pressure induced phase transition into a commensurate magnetic structure as exemplified by the pressuretemperature pt phase diagrams constructed in this work the pt phase diagrams are determined for all three compounds
|
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|
[-0.1573609189309672, 0.25005632917943343, -0.027243680007563068, -0.02384324196656502, -0.035721115074816276, -0.10745744703969137, 0.07371231389697641, 0.4367498208383291, -0.25696573303423653, -0.309480103974541, 0.0621118683785457, -0.29366383471943697, -0.09730840712684025, 0.13170363977096503, 0.07412278181445067, 0.03576831770030482, -0.1318397793608407, 0.024489955207528332, -0.1313745410431808, -0.20075952744876815, 0.2631959248315436, 0.0498473634505136, 0.28744156578363017, 0.09807018836928082, 0.045724013214378925, -0.06586405769226024, 0.11085638145905459, 0.0528386289330103, -0.1357841658213272, -0.0657519027834538, 0.2539373382674423, -0.09488511253442701, 0.14382531718838018, -0.3925565381523693, -0.22766106791095808, 0.012021730445196917, 0.09219598680756044, 0.11798527311826736, -0.04968857755178677, -0.27295505842086915, 0.0556432053650162, -0.10514870921053507, -0.16089581224221694, -0.099525428715633, 0.010372679568184861, 0.0011533970848239701, -0.24812703749838008, 0.09226607891193045, 0.04609247561926878, 0.13954572249926497, -0.13969107549075552, -0.15310680735374577, -0.08823921418904017, 0.06309301763904768, 0.06758669135629082, 0.14206879098910366, 0.15146663519500317, -0.08400990445455857, -0.08881705246153876, 0.3640071701033619, -0.06277384318614743, -0.022585422595950838, 0.17009820833390085, -0.23367346952476636, -0.09833073978922491, 0.24455711069709524, 0.12185652862335074, 0.07001772024615228, -0.13366036356338795, 0.04592788602167275, 0.07943956036899766, 0.18230645295671433, 0.12478192334983969, 0.00972859741017308, 0.23803584838029127, 0.1697482960118013, 0.0036011311629032395, 0.1612438190094163, -0.09661661774815253, -0.045141460794163334, -0.22657275094982537, -0.1345151367737114, -0.1763049953559617, 0.029626028724907945, -0.08982153361209604, -0.17762264903001193, 0.34467702669937206, 0.11054033716476855, 0.2159934637906838, -0.0705113494347235, 0.2539238145109266, 0.10015003824734996, 0.08948632399953002, 0.03913717692177315, 0.2992854215493747, 0.19811147254297573, 0.18248917489719374, -0.2799979904362124, 0.13204439645151383, -0.012284648317165255]
|
707.0319
|
Amorphous silica modeled with truncated and screened Coulomb
interactions: A molecular dynamics simulation study
|
We show that finite-range alternatives to the standard long-range BKS pair
potential for silica might be used in molecular dynamics simulations. We study
two such models that can be efficiently simulated since no Ewald summation is
required. We first consider the Wolf method, where the Coulomb interactions are
truncated at a cutoff distance r_c such that the requirement of charge
neutrality holds. Various static and dynamic quantities are computed and
compared to results from simulations using Ewald summations. We find very good
agreement for r_c ~ 10 Angstroms. For lower values of r_c, the long--range
structure is affected which is accompanied by a slight acceleration of dynamic
properties. In a second approach, the Coulomb interaction is replaced by an
effective Yukawa interaction with two new parameters determined by a force
fitting procedure. The same trend as for the Wolf method is seen. However,
slightly larger cutoffs have to be used in order to obtain the same accuracy
with respect to static and dynamic quantities as for the Wolf method.
|
cond-mat.stat-mech
|
we show that finiterange alternatives to the standard longrange bks pair potential for silica might be used in molecular dynamics simulations we study two such models that can be efficiently simulated since no ewald summation is required we first consider the wolf method where the coulomb interactions are truncated at a cutoff distance r_c such that the requirement of charge neutrality holds various static and dynamic quantities are computed and compared to results from simulations using ewald summations we find very good agreement for r_c 10 angstroms for lower values of r_c the longrange structure is affected which is accompanied by a slight acceleration of dynamic properties in a second approach the coulomb interaction is replaced by an effective yukawa interaction with two new parameters determined by a force fitting procedure the same trend as for the wolf method is seen however slightly larger cutoffs have to be used in order to obtain the same accuracy with respect to static and dynamic quantities as for the wolf method
|
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|
[-0.0936143143072037, 0.11662850208614102, -0.09668181060953343, 0.11230724690540228, -0.01750797978837952, -0.15338955219790695, 0.017580279688228898, 0.3982952968827227, -0.2314398439678674, -0.3287839510473229, 0.04089457057749054, -0.26663646618336706, -0.12472946999090102, 0.2005534725529807, 0.004264160888158672, 0.03701974044859179, 0.041764689475669345, 0.008602607219169537, -0.08622839426555272, -0.21218505335993887, 0.27599550021564245, 0.06466525281402505, 0.2246233254076547, 0.07882595755481384, 0.03783141582694259, 0.01185564381809118, -0.0015932551711254443, 0.09317384352297745, -0.11714610958209787, 0.06539694404602328, 0.18972928782016293, 0.037993341185418625, 0.2565298658626575, -0.4146541233972779, -0.21201907940364131, 0.07990215673565954, 0.14706459638407632, 0.11897450259892225, -0.05346530830554132, -0.2464526862826287, 0.1043648789539778, -0.19462417981482022, -0.15019725194655448, -0.10369988570025834, 0.019909087867875184, 0.0491003701123797, -0.34501678095139576, 0.1321961772924364, 0.0015040246265319486, 0.03972764878666827, -0.06519124400247597, -0.11847035034415535, -0.011006618639969799, 0.1082792306038928, 0.04494720154893696, 0.04546119908281114, 0.11741439295500251, -0.10279011458624154, -0.08707259837371696, 0.40908065406117766, -0.08075615983883229, -0.18726777764078134, 0.2005132146060489, -0.09292761408904057, -0.0777444447795417, 0.13609254343152447, 0.10810852723218323, 0.12368024618453569, -0.15831087697664598, 0.06656822332955753, 0.009495800555062791, 0.1863523310430104, 0.07887249037559654, -0.0003914158120269782, 0.17549216358297381, 0.13383038344770848, 0.033993840601483714, 0.11226928830520981, -0.09871852251446744, -0.12431349513852703, -0.2683405378165411, -0.09786278215393568, -0.21936126374584136, 0.0059619602203990025, -0.13141258539941364, -0.13817842043880818, 0.3283069512874049, 0.16987028512604802, 0.21236038059162507, 0.047593536041815585, 0.28365615373920827, 0.13017172873203112, 0.12583767316426106, 0.05642541036165009, 0.28230828671145164, 0.10100866466555522, 0.05331993878020772, -0.20427575821512228, 0.04580964757839129, 0.09384309117116832]
|
707.032
|
Heavy Quark Mass Effects in PQCD and Heavy Flavor Parton Distributions
|
The systematic treatment of heavy quark mass effects in DIS in current CTEQ
global analysis is summarized. Applications of this treatment to the comparison
between theory and experimental data on DIS charm production are described. The
possibility of intrinsic charm in the nucleon is studied. The issue of
determining the charm mass in global analysis is discussed.
|
hep-ph
|
the systematic treatment of heavy quark mass effects in dis in current cteq global analysis is summarized applications of this treatment to the comparison between theory and experimental data on dis charm production are described the possibility of intrinsic charm in the nucleon is studied the issue of determining the charm mass in global analysis is discussed
|
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|
[-0.04625578222616592, 0.16812452392881377, -0.08524668178308689, 0.18554308697205493, -0.01325489302868383, -0.0160893963551835, 0.07164724573713581, 0.31710785186212315, -0.18991547907915032, -0.2562530220143105, 0.027280374952967753, -0.33908104653094423, 0.01206872978231363, 0.153408791379709, -0.0012169712991045233, 0.09940908074771103, 0.08131123575826917, -0.02492560165231688, -0.08159444035079919, -0.20605529632353992, 0.3490459409444348, 0.03166905592048639, 0.2780473522123015, 0.23344842390271656, -0.003919427052319965, 0.07096020819868468, -0.18264770657620638, -0.04408300030780466, -0.09577929689303825, 0.08684230858884882, 0.24592856990414458, 0.08928962292460103, 0.17052790986602767, -0.3836680442552295, -0.13783947966192245, 0.06609399023612864, 0.11526418451154441, 0.11820348501899852, -0.09968374865007047, -0.2550906671309157, 0.08869272903661783, -0.21063042285018846, -0.17841065227331823, -0.10169586763074397, -0.02188459150656535, -0.034251925192381204, -0.26587461216146485, 0.14660315734044274, -0.05196504246672256, 0.06587466402714581, -0.05254714014907286, -0.22695403836928962, -0.06330927222836435, 0.07233693664117406, 0.16468352422918797, 0.09765898666687702, 0.15930498507396693, -0.22031834146024235, -0.1296377580024694, 0.39811020566706073, 0.009681328673634613, -0.18622426182979293, 0.11071106319299392, -0.19195286483552895, -0.18105764813688502, 0.02244805410635053, 0.2578243210160157, 0.06398775138516437, -0.25858940485570775, 0.09362451709194718, -0.06275914857784907, 0.1540575760310483, 0.02089733489086492, 0.07229586172718228, 0.18686228930100537, 0.3293258546148999, -0.05966087131711997, 0.011006956037722136, -0.0750651796769122, -0.1357728570552641, -0.376859998167084, -0.07209059378753106, -0.07918764608340305, 0.048646166222169995, -0.0640875266437529, -0.11062087548341144, 0.3972917961838998, 0.11246440669096876, 0.20522480827282397, -0.0908261007351572, 0.3476883883408287, 0.09154292333282922, 0.02942123194633607, 0.04262679432142984, 0.30397466936132367, 0.21421130622426668, 0.1478380079609914, -0.31159146037769686, 0.08170329594806965, 0.060138170064116515]
|
707.0321
|
Spreading of a density front in the K\"untz-Lavall\'ee model of porous
media
|
We analyze spreading of a density front in the K\"untz-Lavall\'ee model of
porous media. In contrast to previous studies, where unusual properties of the
front were attributed to anomalous diffusion, we find that the front evolution
is controlled by normal diffusion and hydrodynamic flow, the latter being
responsible for apparent enhancement of the front propagation speed. Our
finding suggests that results of several recent experiments on porous media,
where anomalous diffusion was reported based on the density front propagation
analysis, should be reconsidered to verify the role of a fluid flow.
|
physics.flu-dyn physics.class-ph
|
we analyze spreading of a density front in the kuntzlavallee model of porous media in contrast to previous studies where unusual properties of the front were attributed to anomalous diffusion we find that the front evolution is controlled by normal diffusion and hydrodynamic flow the latter being responsible for apparent enhancement of the front propagation speed our finding suggests that results of several recent experiments on porous media where anomalous diffusion was reported based on the density front propagation analysis should be reconsidered to verify the role of a fluid flow
|
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|
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|
707.0322
|
Consistency of support vector machines for forecasting the evolution of
an unknown ergodic dynamical system from observations with unknown noise
|
We consider the problem of forecasting the next (observable) state of an
unknown ergodic dynamical system from a noisy observation of the present state.
Our main result shows, for example, that support vector machines (SVMs) using
Gaussian RBF kernels can learn the best forecaster from a sequence of noisy
observations if (a) the unknown observational noise process is bounded and has
a summable $\alpha$-mixing rate and (b) the unknown ergodic dynamical system is
defined by a Lipschitz continuous function on some compact subset of
$\mathbb{R}^d$ and has a summable decay of correlations for Lipschitz
continuous functions. In order to prove this result we first establish a
general consistency result for SVMs and all stochastic processes that satisfy a
mixing notion that is substantially weaker than $\alpha$-mixing.
|
stat.ME math.DS math.ST stat.TH
|
we consider the problem of forecasting the next observable state of an unknown ergodic dynamical system from a noisy observation of the present state our main result shows for example that support vector machines svms using gaussian rbf kernels can learn the best forecaster from a sequence of noisy observations if a the unknown observational noise process is bounded and has a summable alphamixing rate and b the unknown ergodic dynamical system is defined by a lipschitz continuous function on some compact subset of mathbbrd and has a summable decay of correlations for lipschitz continuous functions in order to prove this result we first establish a general consistency result for svms and all stochastic processes that satisfy a mixing notion that is substantially weaker than alphamixing
|
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|
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|
707.0323
|
Interference Alignment and the Degrees of Freedom for the K User
Interference Channel
|
While the best known outerbound for the K user interference channel states
that there cannot be more than K/2 degrees of freedom, it has been conjectured
that in general the constant interference channel with any number of users has
only one degree of freedom. In this paper, we explore the spatial degrees of
freedom per orthogonal time and frequency dimension for the K user wireless
interference channel where the channel coefficients take distinct values across
frequency slots but are fixed in time. We answer five closely related
questions. First, we show that K/2 degrees of freedom can be achieved by
channel design, i.e. if the nodes are allowed to choose the best constant,
finite and nonzero channel coefficient values. Second, we show that if channel
coefficients can not be controlled by the nodes but are selected by nature,
i.e., randomly drawn from a continuous distribution, the total number of
spatial degrees of freedom for the K user interference channel is almost surely
K/2 per orthogonal time and frequency dimension. Thus, only half the spatial
degrees of freedom are lost due to distributed processing of transmitted and
received signals on the interference channel. Third, we show that interference
alignment and zero forcing suffice to achieve all the degrees of freedom in all
cases. Fourth, we show that the degrees of freedom $D$ directly lead to an
$\mathcal{O}(1)$ capacity characterization of the form
$C(SNR)=D\log(1+SNR)+\mathcal{O}(1)$ for the multiple access channel, the
broadcast channel, the 2 user interference channel, the 2 user MIMO X channel
and the 3 user interference channel with M>1 antennas at each node. Fifth, we
characterize the degree of freedom benefits from cognitive sharing of messages
on the 3 user interference channel.
|
cs.IT math.IT
|
while the best known outerbound for the k user interference channel states that there cannot be more than k2 degrees of freedom it has been conjectured that in general the constant interference channel with any number of users has only one degree of freedom in this paper we explore the spatial degrees of freedom per orthogonal time and frequency dimension for the k user wireless interference channel where the channel coefficients take distinct values across frequency slots but are fixed in time we answer five closely related questions first we show that k2 degrees of freedom can be achieved by channel design ie if the nodes are allowed to choose the best constant finite and nonzero channel coefficient values second we show that if channel coefficients can not be controlled by the nodes but are selected by nature ie randomly drawn from a continuous distribution the total number of spatial degrees of freedom for the k user interference channel is almost surely k2 per orthogonal time and frequency dimension thus only half the spatial degrees of freedom are lost due to distributed processing of transmitted and received signals on the interference channel third we show that interference alignment and zero forcing suffice to achieve all the degrees of freedom in all cases fourth we show that the degrees of freedom d directly lead to an mathcalo1 capacity characterization of the form csnrdlog1snrmathcalo1 for the multiple access channel the broadcast channel the 2 user interference channel the 2 user mimo x channel and the 3 user interference channel with m1 antennas at each node fifth we characterize the degree of freedom benefits from cognitive sharing of messages on the 3 user interference channel
|
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|
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|
707.0324
|
Quantum Nash Equilibria and Quantum Computing
|
In this paper we review our earlier work on quantum computing and the Nash
Equilibrium, in particular, tracing the history of the discovery of new Nash
Equilibria and then reviewing the ways in which quantum computing may be
expected to generate new classes of Nash equilibria. We then extend this work
through a substantive analysis of examples provided by Meyer, Flitney, Iqbal
and Weigert and Cheon and Tsutsui with respect to quantized games, quantum game
strategies and the extension of Nash Equilibrium to solvable games in Hilbert
space. Finally, we review earlier work by Sato, Taiji and Ikegami on non-linear
computation and computational classes by way of reference to coherence,
decoherence and quantum computating systems.
|
q-fin.GN physics.comp-ph physics.soc-ph q-fin.CP
|
in this paper we review our earlier work on quantum computing and the nash equilibrium in particular tracing the history of the discovery of new nash equilibria and then reviewing the ways in which quantum computing may be expected to generate new classes of nash equilibria we then extend this work through a substantive analysis of examples provided by meyer flitney iqbal and weigert and cheon and tsutsui with respect to quantized games quantum game strategies and the extension of nash equilibrium to solvable games in hilbert space finally we review earlier work by sato taiji and ikegami on nonlinear computation and computational classes by way of reference to coherence decoherence and quantum computating systems
|
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|
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|
707.0325
|
Excited state quantum phase transitions in many-body systems
|
Phenomena analogous to ground state quantum phase transitions have recently
been noted to occur among states throughout the excitation spectra of certain
many-body models. These excited state phase transitions are manifested as
simultaneous singularities in the eigenvalue spectrum (including the gap or
level density), order parameters, and wave function properties. In this
article, the characteristics of excited state quantum phase transitions are
investigated. The finite-size scaling behavior is determined at the mean field
level. It is found that excited state quantum phase transitions are universal
to two-level bosonic and fermionic models with pairing interactions.
|
quant-ph nucl-th
|
phenomena analogous to ground state quantum phase transitions have recently been noted to occur among states throughout the excitation spectra of certain manybody models these excited state phase transitions are manifested as simultaneous singularities in the eigenvalue spectrum including the gap or level density order parameters and wave function properties in this article the characteristics of excited state quantum phase transitions are investigated the finitesize scaling behavior is determined at the mean field level it is found that excited state quantum phase transitions are universal to twolevel bosonic and fermionic models with pairing interactions
|
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|
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|
707.0326
|
Projective Coordinates and Projective Space Limit
|
The "projective lightcone limit" has been proposed as an alternative
holographic dual of an AdS space. It is a new type of group contraction for a
coset G/H preserving the isometry group G but changing H. In contrast to the
usual group contraction, which changes G preserving the spacetime dimension, it
reduces the dimensions of the spacetime on which G is realized. The obtained
space is a projective space on which the isometry is realized as a linear
fractional transformation. We generalize and apply this limiting procedure to
the "Hopf reduction" and obtain (n-1)-dimensional complex projective space from
(2n-1)-dimensional sphere preserving SU(n) symmetry.
|
hep-th
|
the projective lightcone limit has been proposed as an alternative holographic dual of an ads space it is a new type of group contraction for a coset gh preserving the isometry group g but changing h in contrast to the usual group contraction which changes g preserving the spacetime dimension it reduces the dimensions of the spacetime on which g is realized the obtained space is a projective space on which the isometry is realized as a linear fractional transformation we generalize and apply this limiting procedure to the hopf reduction and obtain n1dimensional complex projective space from 2n1dimensional sphere preserving sun symmetry
|
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|
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|
707.0327
|
Fault-tolerant linear optical quantum computing with small-amplitude
coherent states
|
Quantum computing using two optical coherent states as qubit basis states has
been suggested as an interesting alternative to single photon optical quantum
computing with lower physical resource overheads. These proposals have been
questioned as a practical way of performing quantum computing in the short term
due to the requirement of generating fragile diagonal states with large
coherent amplitudes. Here we show that by using a fault-tolerant error
correction scheme, one need only use relatively small coherent state amplitudes
($\alpha > 1.2$) to achieve universal quantum computing. We study the effects
of small coherent state amplitude and photon loss on fault tolerance within the
error correction scheme using a Monte Carlo simulation and show the quantity of
resources used for the first level of encoding is orders of magnitude lower
than the best known single photon scheme. %We study this reigem using a Monte
Carlo simulation and incorporate %the effects of photon loss in this
simulation.
|
quant-ph
|
quantum computing using two optical coherent states as qubit basis states has been suggested as an interesting alternative to single photon optical quantum computing with lower physical resource overheads these proposals have been questioned as a practical way of performing quantum computing in the short term due to the requirement of generating fragile diagonal states with large coherent amplitudes here we show that by using a faulttolerant error correction scheme one need only use relatively small coherent state amplitudes alpha 12 to achieve universal quantum computing we study the effects of small coherent state amplitude and photon loss on fault tolerance within the error correction scheme using a monte carlo simulation and show the quantity of resources used for the first level of encoding is orders of magnitude lower than the best known single photon scheme we study this reigem using a monte carlo simulation and incorporate the effects of photon loss in this simulation
|
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|
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|
707.0328
|
What's the matter at RHIC?
|
I present here a concise review of the experimental results obtained at the
Relativistic Heavy Ion Collider (RHIC), which shed light on the hot and dense
quark gluon matter produced at these high temperature and density conditions.
|
nucl-ex
|
i present here a concise review of the experimental results obtained at the relativistic heavy ion collider rhic which shed light on the hot and dense quark gluon matter produced at these high temperature and density conditions
|
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|
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|
707.0329
|
Expected Anomalies in the Fossil Record
|
The problem of intermediates in the fossil record has been frequently
discussed ever since Darwin. The extent of `gaps' (missing transitional stages)
has been used to argue against gradual evolution from a common ancestor.
Traditionally, gaps have often been explained by the improbability of
fossilization and the discontinuous selection of found fossils. Here we take an
analytical approach and demonstrate why, under certain sampling conditions, we
may not expect intermediates to be found. Using a simple null model, we show
mathematically that the question of whether a taxon sampled from some time in
the past is likely to be morphologically intermediate to other samples (dated
earlier and later) depends on the shape and dimensions of the underlying
phylogenetic tree that connects the taxa, and the times from which the fossils
are sampled.
|
q-bio.PE
|
the problem of intermediates in the fossil record has been frequently discussed ever since darwin the extent of gaps missing transitional stages has been used to argue against gradual evolution from a common ancestor traditionally gaps have often been explained by the improbability of fossilization and the discontinuous selection of found fossils here we take an analytical approach and demonstrate why under certain sampling conditions we may not expect intermediates to be found using a simple null model we show mathematically that the question of whether a taxon sampled from some time in the past is likely to be morphologically intermediate to other samples dated earlier and later depends on the shape and dimensions of the underlying phylogenetic tree that connects the taxa and the times from which the fossils are sampled
|
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|
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|
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