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## Filters

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Universality in the bulk holds close to given points

2011
*
Journal of Approximation Theory
*

Thus

doi:10.1016/j.jat.2009.11.004
fatcat:wz3hxvtwprfmdilkudvdkkolwy
*universality**in**the**bulk**holds*on a sequence*close**to*ξ , without having*to*assume that µ is a regular measure. Similar results are established for sequences of measures. ... We show that one can choose uniformly for a*in*compact subsets of*the*plane. Here K n is*the*nth reproducing kernel for µ, andK n is its normalized cousin. ... Acknowledgments*The*author thanks*the*organizers of OPSFA 10 for*the*wonderful conference, and*the*kind invitation. ...##
###
Closed timelike curves in asymmetrically warped brane universes

2009
*
Physical Review D
*

*in*

*the*

*bulk*). ... We discuss causality properties of these warped brane

*universes*and argue that scenarios with two extra dimensions may allow for timelike curves which can be

*closed*via paths

*in*

*the*extra-dimensional

*bulk*... We also thank

*the*Tokkuri Tei establishment and especially Kazu Mitake for providing a stimulating environment

*in*which

*to*complete this paper. ...

##
###
Causality of the Brane Universe

2001
*
Physical Review Letters
*

Causal structure of

doi:10.1103/physrevlett.86.381
pmid:11177836
fatcat:3roisb6qtbemrhakz2v4zymidm
*the*brane*universe*with respect*to*null geodesics*in**the**bulk*spacetime is studied. ... It is*pointed*out that apparent causality violation is possible for*the*brane*universe*which contains matter energy. ... geodesics*in**the**bulk*, can carry information from a*point*on*the*brane*universe**to*another quickly. ...##
###
Why do we live in 3+1 dimensions?

2005
*
Physics Letters B
*

*In*

*the*context of string theory we argue that higher dimensional Dp-branes unwind and evaporate so that we are left with D3-branes embedded

*in*a (9+1)-dimensional

*bulk*. ... One of these D3-branes plays

*the*role of our

*Universe*. Within this picture,

*the*evaporation of

*the*higher dimensional Dp-branes provides

*the*entropy of our

*Universe*. ... Acknowledgements It is a pleasure

*to*thank Riccardo Sturani and André Lukas for useful discussions. This work is partially supported by

*the*Swiss National Science Foundation. ...

##
###
Relating Friedmann equation to Cardy formula in universes with cosmological constant

2001
*
Physics Letters B
*

A relation between

doi:10.1016/s0370-2693(01)00237-4
fatcat:gg6vjyc5tzhdbavtxp3k3verre
*the*Friedmann equation and*the*Cardy formula has been found for de Sitter*closed*and Anti de Sitter flat*universes*. ... For*the*remaining (Anti) de Sitter*universes**the*arguments fail, and we speculate whether*the*general philosophy of holography can be satisfied*in*such contents. ... This means that at*the*turning*point*HR = 1, neither*the**closed*AdS*universe*nor*the*open AdS*universe*can accommodate a*universe*-size AdS black hole*in*it. ...##
###
Universal Short-Time Behavior in Critical Dynamics near Surfaces

1995
*
Physical Review Letters
*

Shortly after

doi:10.1103/physrevlett.75.3882
pmid:10059755
fatcat:ytrjntuay5gybazqarrabyi47q
*the*quench, like*in**the**bulk*, a nonequilibrium regime governed by*universal*power laws is also found near*the*surface. ... We study*the*time evolution of classical spin systems with purely relaxational dynamics, quenched from T >> T_c*to**the*critical*point*,*in**the*semi-infinite geometry. ... This work was supported*in*part by*the*Deutsche Forschungsgemeinschaft through Sonderforschungsbereich 237. ...##
###
Noninteracting fermions in a trap and random matrix theory

2019
*
Journal of Physics A: Mathematical and Theoretical
*

*In*dimension d=1 and at zero temperature T=0, these

*universality*classes are

*in*one-

*to*-one correspondence with

*the*standard

*universality*classes found

*in*

*the*classical unitary random matrix ensembles: ... fail

*to*describe

*the*fluctuations

*close*

*to*

*the*edge of

*the*Fermi gas, where

*the*density is very small and

*the*fluctuations are thus enhanced. ... If we consider two

*points*x and y both

*close*

*to*a

*point*x

*in*

*the*

*bulk*,

*the*kernel takes

*the*scaling form K µ (x + x , x + y ) ≈ 1 (x) d K

*bulk*d |x − y | (x) (82) where (x) = 1 2 [N ρ N (x)γ d ] −1/d , ...

##
###
Near-Surface Long-Range Order at the Ordinary Transition

1996
*
Physical Review Letters
*

We study

doi:10.1103/physrevlett.77.3645
pmid:10062272
fatcat:xteawpmv6fhppk35p7e2lvxlyi
*the*spatial dependence of*the*order parameter near surfaces belonging*to**the**universality*class of*the*ordinary transition. ... These results are*closely*related*to*experimental findings where exponents of*the*ordinary transition were observed*in*Fe_3 Al, while superstructure reflections revealed*the*existence of long-range order ... Diehl for leaving us*the*manuscript Ref. [12] prior*to*publication. This work was supported*in*part by*the*Deutsche Forschungsgemeinschaft through Sonderforschungsbereich 237. ...##
###
A comment on the Wigner-Dyson-Mehta bulk universality conjecture for Wigner matrices
[article]

2012
*
arXiv
*
pre-print

Tao and Vu TV5 gave a proof that for

arXiv:1201.5619v3
fatcat:aq25bgm2gfghbcqhggcazlg3iu
*the*special case of Hermitian Wigner matrices*the*convergence can be strengthened*to*vague convergence at any fixed energy*in**the**bulk*. ... Recently we proved (EPRSY, ERSTVY, ESY4, ESYY, EYY, EYY2, EYYrigi) that*the*eigenvalue correlation functions of a general class of random matrices converge, weakly with respect*to**the*energy,*to**the*corresponding ...*In*particular,*the**bulk**universality*for Hermitian Wigner matrices with smooth distributions, at a fixed energy, was first proved [3] . ...##
###
Universal Signature from Integrability to Chaos in Dissipative Open Quantum Systems
[article]

2019
*
arXiv
*
pre-print

We collect mathematical evidence for

arXiv:1910.03520v4
fatcat:uwzrinn3cbbnpbwmzbyhjdvrpe
*the**universality*of*the*full level spacing distribution*in**the*fully chaotic limit at β=2. ...*The*repulsion between*the*complex eigenvalues of*the*corresponding Liouville operator*in*radial distance s is used as a*universal*measure. ... It is therefore natural*to*ask if this agreement continues*to**hold**in**the**bulk*or not. ...##
###
Finite-size interaction amplitudes and their universality: Exact, mean-field, and renormalization-group results

1986
*
Physical Review B (Condensed Matter)
*

*In*

*the*case of

*the*twodimensional Ising model we address

*the*

*universality*with respect

*to*anisotropy. ...

*In*mean-field theory we display

*the*mechanism for this

*universality*and for that with respect

*to*

*the*surface coupling enhancement. ... will be critical

*close*

*to*, but not at,

*bulk*criticality. ...

##
###
Qualitative viscous cosmology

1996
*
Physical Review D, Particles and fields
*

*The*Full (non--truncated) Israel--Stewart theory of

*bulk*viscosity is applied

*to*dissipative FRW spacetimes. ... Entropy production

*in*these models is also discussed. ...

*to*model

*the*

*bulk*viscous pressure. ...

##
###
Renormalization group approach to causal bulk viscous cosmological models

2002
*
Classical and quantum gravity
*

*The*renormalization group method is applied

*to*

*the*study of homogeneous and flat Friedmann-Robertson-Walker type

*Universes*, filled with a causal

*bulk*viscous cosmological fluid. ... For a cosmological model with

*bulk*viscosity coefficient proportional

*to*

*the*Hubble parameter, we perform

*the*analysis of

*the*renormalization group flow around

*the*scale invariant fixed

*point*, therefore ... Acknowledgements

*The*authors would like

*to*thank

*to*

*the*two anonymous referees, whose comments helped

*to*significantly improve

*the*manuscript. ...

##
###
The averaged null energy conditions in even dimensional curved spacetimes from AdS/CFT duality

2020
*
Journal of High Energy Physics
*

*In*two-dimensions, we derive

*the*ANEC by applying

*the*no-

*bulk*-shortcut principle. ... We consider averaged null energy conditions (ANEC) for strongly coupled quantum field theories

*in*even (two and four) dimensional curved spacetimes by applying

*the*no-

*bulk*-shortcut principle

*in*

*the*context ...

*In*this section, we study if

*the*equality

*in*eq. (4.19)

*holds*for a deformed static Einstein boundary

*universe*by performing linear perturbations

*in*

*the*global AdS vacuum

*bulk*. ...

##
###
Universal Signature from Integrability to Chaos in Dissipative Open Quantum Systems

2019
*
Physical Review Letters
*

We collect mathematical evidence for

doi:10.1103/physrevlett.123.254101
pmid:31922808
fatcat:2iffpdwkxbganbwzutcnkneuhm
*the**universality*of*the*full level spacing distribution*in**the*fully chaotic limit at β=2. ...*The*repulsion between*the*complex eigenvalues of*the*corresponding Liouville operator*in*radial distance s is used as a*universal*measure. ... It is therefore natural*to*ask if this agreement continues*to**hold**in**the**bulk*or not. ...
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