Results 1 to 10 of about 182,487 (307)
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 +4 more
doaj +6 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 +2 more
doaj +6 more sources
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 +3 more
doaj +3 more sources
Interval-Valued Random Matrices [PDF]
EntropyThis 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 +2 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
A Spectral Investigation of Criticality and Crossover Effects in Two and Three Dimensions: Short Timescales with Small Systems in Minute Random Matrices [PDF]
EntropyRandom 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 +2 more
doaj +2 more sources
, 2023 Random Matrix theory has become a field on its own with a breadth of new results, techniques, and ideas in the last thirty years. In these proceedings of the 8ECM 2021, I illustrate some of these advances by describing what is known about the spectrum and the eigenvectors of Bernoulli matrices.
Guionnet, Alice
openaire +5 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
Products of random matrices [PDF]
Physical Review E, 2002 9 pages, 1 ...
Jackson, A. D. +3 more
openaire +3 more sources