Results 81 to 90 of about 1,067,783 (177)

The effect of short ray trajectories on the scattering statistics of wave chaotic systems

, 2009
In many situations, the statistical properties of wave systems with chaotic classical limits are well-described by random matrix theory. However, applications of random matrix theory to scattering problems require introduction of system specific ...
E. Ott, F. G. Tricomi, F. Haake, J. A. Hart, M. C. Gutzwiller, T. M. Antonsen   +5 more
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Optimized Tail Bounds for Random Matrix Series

Entropy
Random matrix series are a significant component of random matrix theory, offering rich theoretical content and broad application prospects. In this paper, we propose modified versions of tail bounds for random matrix series, including matrix Gaussian ...
Xianjie Gao, Mingliang Zhang, Jinming Luo   +2 more
doaj   +1 more source

PDE Methods in Random Matrix Theory [PDF]

, 2020
This article begins with a brief review of random matrix theory, followed by a discussion of how the large-$N$ limit of random matrix models can be realized using operator algebras. I then explain the notion of "Brown measure," which play the role of the eigenvalue distribution for operators in an operator algebra.
openaire   +2 more sources

Wavepacket Dynamics, Quantum Reversibility and Random Matrix Theory

, 2005
We introduce and analyze the physics of "driving reversal" experiments. These are prototype wavepacket dynamics scenarios probing quantum irreversibility.
Alhassid, Austin, Benenti, Berry, Berry, Bohigas, Borgonovi, Bulgac, Casati, Casati, Cohen, Cohen, Cohen, Cohen, Cohen, Doron Cohen, Feingol, Feingold, Feingold, Fyodorov, Haake, Hiller, Imry, Izrailev, Jacquod, Jalabert, Kottos, Kottos, Meyer, Moritz Hiller, Méndez-Bermúdez, Prosen, Prosen, Prosen, Pullen, Stöckmann, Theo Geisel, Tsampikos Kottos, Wigner, Wigner, Wilkinson, Wilkinson, Wilkinson, Wilkinson, Wisniacki   +44 more
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Sparse kronecker pascal measurement matrices for compressive imaging

Journal of the European Optical Society-Rapid Publications, 2017
Background The construction of measurement matrix becomes a focus in compressed sensing (CS) theory. Although random matrices have been theoretically and practically shown to reconstruct signals, it is still necessary to study the more promising ...
Yilin Jiang, Qi Tong, Haiyan Wang, Qingbo Ji   +3 more
doaj   +1 more source

Rare events in random matrix theory

, 2023
Alice Guionnet
openalex   +2 more sources

A Data Driven Approach to Robust Event Detection in Smart Grids Based on Random Matrix Theory and Kalman Filtering [PDF]

, 2021
Fujia Han, Phillip M. Ashton, Maozhen Li, Ioana Pisică, Gareth Taylor, Barry Rawn, Yi Ding   +6 more
openalex   +1 more source

Chaos and random matrices in supersymmetric SYK

Journal of High Energy Physics, 2018
We use random matrix theory to explore late-time chaos in supersymmetric quantum mechanical systems. Motivated by the recent study of supersymmetric SYK models and their random matrix classification, we consider the Wishart-Laguerre unitary ensemble and ...
Nicholas Hunter-Jones, Junyu Liu
doaj   +1 more source

Random-matrix theory of quantum transport

Reviews of Modern Physics, 1997
85 pages including 52 figures, to be published in Rev.Mod ...
openaire   +4 more sources

High-Dimensional Random Fields and Random Matrix Theory [PDF]

, 2013
Our goal is to discuss in detail the calculation of the mean number of stationary points and minima for random isotropic Gaussian fields on a sphere as well as for stationary Gaussian random fields in a background parabolic confinement.
Fyodorov, Yan V
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