Results 11 to 20 of about 1,191,216 (267)
Non-Equilibrium Random Matrix Theory : Transition Probabilities [PDF]
Physical Review E, 2016 In this letter 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.
Pedro, Francisco Gil +1 more
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Supersymmetric SYK model and random matrix theory
Journal of High Energy Physics, 2017 In 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
Tianlin Li +3 more
doaj +3 more sources
Logarithmic Universality in Random Matrix Theory [PDF]
Nuclear Physics B, 1998 Universality in unitary invariant random matrix ensembles with complex matrix elements is considered. We treat two general ensembles which have a determinant factor in the weight.
Akemann +20 more
core +5 more sources
Path counting and random matrix theory [PDF]
The Electronic Journal of Combinatorics, 2003 We establish three identities involving Dyck paths and alternating Motzkin paths, whose proofs are based on variants of the same bijection. We interpret these identities in terms of closed random walks on the halfline.
Dumitriu, Ioana, Rassart, Etienne
core +4 more sources
Random Matrix Theory and Quantum Chromodynamics [PDF]
, 2016 These notes are based on the lectures delivered at the Les Houches Summer School in July 2015. They are addressed at a mixed audience of physicists and mathematicians with some basic working knowledge of random matrix theory. The first part is devoted to
Akemann, Gernot
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Many-Body Quantum Chaos: Analytic Connection to Random Matrix Theory
Physical Review X, 2018 A key goal of quantum chaos is to establish a relationship between widely observed universal spectral fluctuations of clean quantum systems and random matrix theory (RMT).
Pavel Kos +2 more
doaj +2 more sources
Massive-scale gene co-expression network construction and robustness testing using random matrix theory. [PDF]
PLoS ONE, 2013 The study of gene relationships and their effect on biological function and phenotype is a focal point in systems biology. Gene co-expression networks built using microarray expression profiles are one technique for discovering and interpreting gene ...
Scott M Gibson +5 more
doaj +2 more sources
Random-matrix theory of quantum transport
Reviews of Modern Physics, 1997 85 pages including 52 figures, to be published in Rev.Mod ...
Carlo Beenakker
openaire +6 more sources
Portfolio Optimization and Random Matrix Theory in Stock Exchange [PDF]
مدیریت نوآوری و راهبردهای عملیاتی, 2021 Purpose: This study aimed to optimize the stock portfolio based on stochastic matrix theory in the stock market and to answer whether the relevant information will exist using the Marčenko–Pastur distribution.Methodology: The data of 31 shares in the ...
mostafa heidari haratemeh
doaj +1 more source
Random matrix theory of the isospectral twirling
SciPost Physics, 2021 We present a systematic construction of probes into the dynamics of isospectral ensembles of Hamiltonians by the notion of Isospectral twirling, expanding the scopes and methods of ref.[1].
Salvatore F. E. Oliviero, Lorenzo Leone, Francesco Caravelli, Alioscia Hamma
doaj +1 more source