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Universality in the bulk holds close to given points

D.S. Lubinsky
2011 Journal of Approximation Theory  
Thus 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.  ... 
doi:10.1016/j.jat.2009.11.004 fatcat:wz3hxvtwprfmdilkudvdkkolwy

Closed timelike curves in asymmetrically warped brane universes

Heinrich Päs, Sandip Pakvasa, James Dent, Thomas J. Weiler
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.  ... 
doi:10.1103/physrevd.80.044008 fatcat:zkdxnuds7zddvp4z2ucefzw2oy

Causality of the Brane Universe

Hideki Ishihara
2001 Physical Review Letters  
Causal structure of 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.  ... 
doi:10.1103/physrevlett.86.381 pmid:11177836 fatcat:3roisb6qtbemrhakz2v4zymidm

Why do we live in 3+1 dimensions?

R. Durrer, M. Kunz, M. Sakellariadou
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.  ... 
doi:10.1016/j.physletb.2005.04.023 fatcat:qmaizrdblfdgnay5xwmusyn64i

Relating Friedmann equation to Cardy formula in universes with cosmological constant

Bin Wang, Elcio Abdalla, Ru-Keng Su
2001 Physics Letters B  
A relation between 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.  ... 
doi:10.1016/s0370-2693(01)00237-4 fatcat:gg6vjyc5tzhdbavtxp3k3verre

Universal Short-Time Behavior in Critical Dynamics near Surfaces

U. Ritschel, P. Czerner
1995 Physical Review Letters  
Shortly after 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.  ... 
doi:10.1103/physrevlett.75.3882 pmid:10059755 fatcat:ytrjntuay5gybazqarrabyi47q

Noninteracting fermions in a trap and random matrix theory

David Stanley Dean, Pierre le Doussal, satya majumdar, Gregory Schehr
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 ,  ... 
doi:10.1088/1751-8121/ab098d fatcat:bs6pmal6r5f3hd3nha3y3au5vy

Near-Surface Long-Range Order at the Ordinary Transition

Uwe Ritschel, Peter Czerner
1996 Physical Review Letters  
We study 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.  ... 
doi:10.1103/physrevlett.77.3645 pmid:10062272 fatcat:xteawpmv6fhppk35p7e2lvxlyi

A comment on the Wigner-Dyson-Mehta bulk universality conjecture for Wigner matrices [article]

Laszlo Erdos, Horng-Tzer Yau
2012 arXiv   pre-print
Tao and Vu TV5 gave a proof that for 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] .  ... 
arXiv:1201.5619v3 fatcat:aq25bgm2gfghbcqhggcazlg3iu

Universal Signature from Integrability to Chaos in Dissipative Open Quantum Systems [article]

Gernot Akemann, Mario Kieburg, Adam Mielke, Tomaz Prosen
2019 arXiv   pre-print
We collect mathematical evidence for 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.  ... 
arXiv:1910.03520v4 fatcat:uwzrinn3cbbnpbwmzbyhjdvrpe

Finite-size interaction amplitudes and their universality: Exact, mean-field, and renormalization-group results

J. O. Indekeu, M. P. Nightingale, W. V. Wang
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.  ... 
doi:10.1103/physrevb.34.330 pmid:9939266 fatcat:k4t2h63ikvgrrjqrrfdrqwoe6a

Qualitative viscous cosmology

A. A. Coley, R. J. van den Hoogen, R. Maartens
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.  ... 
doi:10.1103/physrevd.54.1393 pmid:10020816 fatcat:6zzen3bv4zafhhlhm67732ynzi

Renormalization group approach to causal bulk viscous cosmological models

J A Belinch$oacute$n, T Harko, M K Mak
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.  ... 
doi:10.1088/0264-9381/19/11/316 fatcat:axno564oy5d33mwjqzuz53rbee

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

Norihiro Iizuka, Akihiro Ishibashi, Kengo Maeda
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.  ... 
doi:10.1007/jhep10(2020)106 fatcat:j26blmjsrvgmzclxyajfpwfppu

Universal Signature from Integrability to Chaos in Dissipative Open Quantum Systems

Gernot Akemann, Mario Kieburg, Adam Mielke, Tomaž Prosen
2019 Physical Review Letters  
We collect mathematical evidence for 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.  ... 
doi:10.1103/physrevlett.123.254101 pmid:31922808 fatcat:2iffpdwkxbganbwzutcnkneuhm
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