Results 1 to 10 of about 797,910 (276)

Interval-Valued Random Matrices [PDF]

Entropy
This paper introduces a novel approach that combines symbolic data analysis with matrix theory through the concept of interval-valued random matrices.
Abdolnasser Sadeghkhani, Ali Sadeghkhani
doaj   +4 more sources

Random matrices and random graphs* [PDF]

ESAIM: Proceedings and Surveys, 2023
We collect recent results on random matrices and random graphs. The topics covered are: fluctuations of the empirical measure of random matrices, finite-size effects of algorithms involving random matrices, characteristic polynomial of sparse matrices ...
Capitaine Mireille, Coste Simon, Gabriel Franck, Maillard Pascal, Mailler Cécile   +4 more
doaj   +3 more sources

On Products of Random Matrices [PDF]

Entropy, 2020
We introduce a family of models, which we name matrix models associated with children’s drawings—the so-called dessin d’enfant. Dessins d’enfant are graphs of a special kind drawn on a closed connected orientable surface (in the sky).
Natalia Amburg, Aleksander Orlov, Dmitry Vasiliev   +2 more
doaj   +2 more sources

Black holes and random matrices [PDF]

Journal of High Energy Physics, 2017
We argue that the late time behavior of horizon fluctuations in large anti-de Sitter (AdS) black holes is governed by the random matrix dynamics characteristic of quantum chaotic systems.
Jordan S. Cotler, Guy Gur-Ari, Masanori Hanada, Joseph Polchinski, Phil Saad, Stephen H. Shenker, Douglas Stanford, Alexandre Streicher, Masaki Tezuka   +8 more
doaj   +5 more sources

Growth Quakes and Stasis Using Iterations of Inflating Complex Random Matrices [PDF]

Entropy, 2023
I extend to the case of complex matrices, rather than the case of real matrices as in a prior study, a method of iterating the operation of an “inflating random matrix” onto a state vector to describe complex growing systems. I show that the process also
Henri Benisty
doaj   +2 more sources

Fuzzballs and random matrices

Journal of High Energy Physics, 2023
Black holes are believed to have the fast scrambling properties of random matrices. If the fuzzball proposal is to be a viable model for quantum black holes, it should reproduce this expectation.
Suman Das, Sumit K. Garg, Chethan Krishnan, Arnab Kundu   +3 more
doaj   +3 more sources

A Spectral Investigation of Criticality and Crossover Effects in Two and Three Dimensions: Short Timescales with Small Systems in Minute Random Matrices [PDF]

Entropy
Random matrix theory, particularly using matrices akin to the Wishart ensemble, has proven successful in elucidating the thermodynamic characteristics of critical behavior in spin systems across varying interaction ranges.
Eliseu Venites Filho, Roberto da Silva, José Roberto Drugowich de Felício   +2 more
doaj   +2 more sources

$S$-constrained random matrices [PDF]

Discrete Mathematics & Theoretical Computer Science, 2006
Let $S$ be a set of $d$-dimensional row vectors with entries in a $q$-ary alphabet. A matrix $M$ with entries in the same $q$-ary alphabet is $S$-constrained if every set of $d$ columns of $M$ contains as a submatrix a copy of the vectors in $S$, up to ...
Sylvain Gravier, Bernard Ycart
doaj   +1 more source

Statistical Topology—Distribution and Density Correlations of Winding Numbers in Chiral Systems

Entropy, 2023
Statistical Topology emerged as topological aspects continue to gain importance in many areas of physics. It is most desirable to study topological invariants and their statistics in schematic models that facilitate the identification of universalities ...
Thomas Guhr
doaj   +1 more source

Sparse block-structured random matrices: universality

Journal of Physics: Complexity, 2023
We study ensembles of sparse block-structured random matrices generated from the adjacency matrix of a Erdös–Renyi random graph with N vertices of average degree Z , inserting a real symmetric d  ×  d random block at each non-vanishing entry. We consider
Giovanni M Cicuta, Mario Pernici
doaj   +1 more source