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
Janossy densities for chiral random matrix ensembles and their applications to two-color QCD
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DOI: 10.1007/jhep08(2019)053
Abstract: Abstract We compute individual distributions of low-lying eigenvalues of massive chiral random matrix ensembles by the Nyström-type quadrature method for evaluating the Fredholm determinant and Pfaffian that represent the analytic continuation of the Janossy densities… read more here.
Keywords: random matrix; matrix ensembles; chiral random; two color ... See more keywords
On the dimension of Furstenberg measure for $${ SL}_{2}(\mathbb {R})$$SL2(R) random matrix products
Sign Up to like & getrecommendations! Published in 2017 at "Inventiones mathematicae"
DOI: 10.1007/s00222-017-0740-6
Abstract: Let $$\mu $$μ be a measure on $${ SL}_{2}({\mathbb {R}})$$SL2(R) generating a non-compact and totally irreducible subgroup, and let $$\nu $$ν be the associated stationary (Furstenberg) measure for the action on the projective line. We… read more here.
Keywords: furstenberg measure; mathbb sl2; measure; random matrix ... See more keywords
Riemannian Gaussian distributions, random matrix ensembles and diffusion kernels
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DOI: 10.1016/j.nuclphysb.2021.115582
Abstract: We show that the Riemannian Gaussian distributions on symmetric spaces, introduced in recent years, are of standard random matrix type. We exploit this to compute analytically marginals of the probability density functions. This can be… read more here.
Keywords: riemannian gaussian; diffusion; random matrix; case ... See more keywords
Determinants of block Hankel matrices for random matrix-valued measures
Sign Up to like & getrecommendations! Published in 2019 at "Stochastic Processes and their Applications"
DOI: 10.1016/j.spa.2019.02.010
Abstract: Abstract We consider the moment space M 2 n + 1 d n of moments up to the order 2 n + 1 of d n × d n real matrix measures defined on the… read more here.
Keywords: matrix valued; random matrix; hankel matrices; determinants block ... See more keywords
Exact finite-size scaling for the random-matrix representation of bond percolation on square lattice.
Sign Up to like & getrecommendations! Published in 2022 at "Chaos"
DOI: 10.1063/5.0079323
Abstract: We report on the exact treatment of a random-matrix representation of a bond-percolation model on a square lattice in two dimensions with occupation probability p. The percolation problem is mapped onto a random complex matrix… read more here.
Keywords: percolation; matrix representation; representation bond; square lattice ... See more keywords
Buses of Cuernavaca—an agent-based model for universal random matrix behavior minimizing mutual information
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/aac39d
Abstract: The public transportation system of Cuernavaca, Mexico, exhibits random matrix theory statistics [1]. In particular, the fluctuation of times between the arrival of buses on a given bus stop, follows the Wigner surmise for the… read more here.
Keywords: information; random matrix; mutual information; 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
From noncommutative geometry to random matrix theory
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/ac8fc5
Abstract: We review recent progress in the analytic study of random matrix models suggested by noncommutative geometry. One considers fuzzy spectral triples where the space of possible Dirac operators is assigned a probability distribution. These ensembles… read more here.
Keywords: geometry random; random matrix; noncommutative geometry; geometry ... See more keywords