Bootstrapping ground state correlators in matrix theory. Part I
Sign Up to like & getrecommendations! Published in 2024 at "Journal of High Energy Physics"
DOI: 10.1007/jhep01(2025)190
Abstract: The D0-brane/Banks-Fischler-Shenker-Susskind matrix theory is a strongly coupled quantum system with an interesting gravity dual. We develop a scheme to derive bootstrap bounds on simple correlators in the matrix theory at infinite N at zero… read more here.
Keywords: bootstrapping ground; ground state; correlators matrix; matrix theory ... See more keywords
Spin Matrix theory string backgrounds and Penrose limits of AdS/CFT
Sign Up to like & getrecommendations! Published in 2020 at "Journal of High Energy Physics"
DOI: 10.1007/jhep03(2021)129
Abstract: Abstract Spin Matrix theory (SMT) limits provide a way to capture the dynamics of the AdS/CFT correspondence near BPS bounds. On the string theory side, these limits result in non-relativistic sigma models that can be… read more here.
Keywords: ads cft; theory; penrose limits; string backgrounds ... See more keywords
A bound on quantum chaos from Random Matrix Theory with Gaussian Unitary Ensemble
Sign Up to like & getrecommendations! Published in 2019 at "Journal of High Energy Physics"
DOI: 10.1007/jhep05(2019)149
Abstract: A bstractIn this article, using the principles of Random Matrix Theory (RMT) with Gaussian Unitary Ensemble (GUE), we give a measure of quantum chaos by quantifying Spectral From Factor (SFF) appearing from the computation of… read more here.
Keywords: random matrix; chaos; matrix theory; sff ... See more keywords
Supersymmetric SYK model and random matrix theory
Sign Up to like & getrecommendations! Published in 2017 at "Journal of High Energy Physics"
DOI: 10.1007/jhep06(2017)111
Abstract: A bstractIn this paper, we investigate the effect of supersymmetry on the symmetry classification of random matrix theory ensembles. We mainly consider the random matrix behaviors in the N=1$$ \mathcal{N}=1 $$ supersymmetric generalization of Sachdev-Ye-Kitaev… read more here.
Keywords: matrix theory; model; random matrix; syk model ... See more keywords
The AKS theorem, A.C.I. systems and random matrix theory
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/aad82d
Abstract: This paper gives the most general form of the Adler-Kostant-Symes Theorem, and many applications of it, both finite and infinite dimensional, the former yielding algebraic completely integrable (a.c.i.) systems, and the latter examples in random… read more here.
Keywords: theorem systems; random matrix; systems random; matrix theory ... See more keywords
Noninteracting fermions in a trap and random matrix theory
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/ab098d
Abstract: We review recent advances in the theory of trapped fermions using techniques borrowed from random matrix theory (RMT) and, more generally, from the theory of determinantal point processes. In the presence of a trap, and… read more here.
Keywords: theory; random matrix; edge; matrix theory ... See more keywords
The Moduli Space of Twisted Laplacians and Random Matrix Theory
Sign Up to like & getrecommendations! Published in 2024 at "International Mathematics Research Notices"
DOI: 10.1093/imrn/rnae239
Abstract: Rudnick recently proved that the spectral number variance for the Laplacian of a large compact hyperbolic surface converges, in a certain scaling limit and when averaged with respect to the Weil–Petersson measure on moduli space,… read more here.
Keywords: moduli space; matrix theory; random matrix; twisted laplacians ... See more keywords
Implementing nonuniversal features with a random matrix theory approach: Application to space-to-configuration multiplexing.
Sign Up to like & getrecommendations! Published in 2020 at "Physical Review E"
DOI: 10.1103/physreve.102.010201
Abstract: We consider the efficiency of multiplexing spatially encoded information across random configurations of a metasurface-programmable chaotic cavity in the microwave domain. The distribution of the effective rank of the channel matrix is studied to quantify… read more here.
Keywords: implementing nonuniversal; nonuniversal features; random matrix; matrix theory ... See more keywords
Matrix H-theory approach to stock market fluctuations.
Sign Up to like & getrecommendations! Published in 2025 at "Physical review. E"
DOI: 10.1103/physreve.111.034101
Abstract: We introduce matrix H theory, a framework for analyzing collective behavior arising from multivariate stochastic processes with hierarchical structure. The theory models the joint distribution of the multiple variables (the measured signal) as a compound… read more here.
Keywords: theory approach; matrix theory; approach stock; theory ... See more keywords
Nonequilibrium random matrix theory: Transition probabilities.
Sign Up to like & getrecommendations! Published in 2017 at "Physical Review E"
DOI: 10.1103/physreve.95.032144
Abstract: In this paper we present an analytic method for calculating the transition probability between two random Gaussian matrices with given eigenvalue spectra in the context of Dyson Brownian motion. We show that in the Coulomb… read more here.
Keywords: transition; transition probabilities; random matrix; matrix theory ... See more keywords
Universality in chaos: Lyapunov spectrum and random matrix theory.
Sign Up to like & getrecommendations! Published in 2018 at "Physical Review E"
DOI: 10.1103/physreve.97.022224
Abstract: We propose the existence of a new universality in classical chaotic systems when the number of degrees of freedom is large: the statistical property of the Lyapunov spectrum is described by random matrix theory. We… read more here.
Keywords: lyapunov spectrum; random matrix; matrix theory; theory ... See more keywords