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Hurwitz and the origins of random matrix theory in mathematics
P Diaconis, PJ Forrester - Random Matrices: Theory and …, 2017 - World Scientific
The purpose of this paper is to put forward the claim that Hurwitz's paper [Über die
Erzeugung der invarianten durch integration, Nachr. Ges. Wiss. Göttingen 1897 (1897) 71 …
Erzeugung der invarianten durch integration, Nachr. Ges. Wiss. Göttingen 1897 (1897) 71 …
Pseudogap and Anderson localization of light in correlated disordered media
R Monsarrat, R Pierrat, A Tourin, A Goetschy - Physical Review Research, 2022 - APS
Among the remarkable scattering properties of correlated disordered materials, the origin of
pseudogaps and the formation of localized states are some of the most puzzling features …
pseudogaps and the formation of localized states are some of the most puzzling features …
Maxwell electromagnetism as an emergent phenomenon in condensed matter
J Rehn, R Moessner - Philosophical Transactions of the …, 2016 - royalsocietypublishing.org
The formulation of a complete theory of classical electromagnetism by Maxwell is one of the
milestones of science. The capacity of many-body systems to provide emergent mini …
milestones of science. The capacity of many-body systems to provide emergent mini …
[کتاب][B] Smart grid using big data analytics: a random matrix theory approach
RC Qiu, P Antonik - 2017 - books.google.com
This book is aimed at students in communications and signal processing who want to extend
their skills in the energy area. It describes power systems and why these backgrounds are …
their skills in the energy area. It describes power systems and why these backgrounds are …
Self-Consistent Current Response Theory of Unjamming and Vibrational Modes in Low-Temperature Amorphous Solids
F Vogel, P Baumgärtel, M Fuchs - Physical Review X, 2025 - APS
We study amorphous solids with strong elastic disorder and find an unjamming instability
that exists, inter alia, in a harmonic model built using Euclidean random matrices (ERMs) …
that exists, inter alia, in a harmonic model built using Euclidean random matrices (ERMs) …
Vibrational phenomena in glasses at low temperatures captured by field theory of disordered harmonic oscillators
F Vogel, M Fuchs - Physical Review Letters, 2023 - APS
We investigate the vibrational properties of topologically disordered materials by analytically
studying particles that harmonically oscillate around random positions. Exploiting classical …
studying particles that harmonically oscillate around random positions. Exploiting classical …
Localization transition in non-Hermitian systems depending on reciprocity and hop** asymmetry
D Kochergin, V Tiselko, A Onuchin - Physical Review E, 2024 - APS
We studied the single-particle Anderson localization problem for non-Hermitian systems on
directed graphs. Random regular graph and various undirected standard random graph …
directed graphs. Random regular graph and various undirected standard random graph …
Properties of stable ensembles of Euclidean random matrices
P Baumgärtel, F Vogel, M Fuchs - Physical Review E, 2024 - APS
We study the spectrum of a system of coupled disordered harmonic oscillators in the
thermodynamic limit. This Euclidean random matrix ensemble has been suggested as a …
thermodynamic limit. This Euclidean random matrix ensemble has been suggested as a …
Bootstrap** cascaded random matrix models: Correlations in permutations of matrix products
N Byrnes, GRW Greaves, MR Foreman - Physical Review E, 2024 - APS
Random matrix theory is a useful tool in the study of the physics of multiple scattering
systems, often striking a balance between computation speed and physical rigour …
systems, often striking a balance between computation speed and physical rigour …
Renormalization to localization without a small parameter
A Kutlin, IM Khaymovich - SciPost Physics, 2020 - scipost.org
We study the wave function localization properties in a d-dimensional model of randomly
spaced particles with isotropic hop** potential depending solely on Euclidean interparticle …
spaced particles with isotropic hop** potential depending solely on Euclidean interparticle …