Results 41 to 50 of about 2,230,753 (183)

Infinite Series of Singularities in the Correlated Random Matrices Product

open access: yesFrontiers in Physics, 2021
We consider the product of a large number of two 2 × 2 matrices chosen randomly (with some correlation): at any round there are transition probabilities for the matrix type, depending on the choice at previous round. Previously, a functional equation has
Ruben Poghosyan, David B. Saakian
doaj   +1 more source

THE SPECTRUM OF RANDOM INNER-PRODUCT KERNEL MATRICES

open access: yes, 2013
We consider nxn matrices whose (i, j)th entry is f(X-i(T) X-j), where X-1,..., X-n are i.i.d. standard Gaussian in R-p, and f is a real-valued function. The weak limit of the eigenvalue distribution of these random matrices is studied at the limit when p,
Cheng, Xiuyuan, Singer, Amit
core   +1 more source

The Smallest Singular Value Anomaly and the Condition Number Anomaly

open access: yesAxioms, 2022
Let A be an arbitrary matrix in which the number of rows, m, is considerably larger than the number of columns, n. Let the submatrix Ai,i=1,…,m, be composed of the first i rows of A.
Achiya Dax
doaj   +1 more source

Superstatistical generalisations of Wishart-Laguerre ensembles of random matrices [PDF]

open access: yes, 2008
Using Beck and Cohen's superstatistics, we introduce in a systematic way a family of generalized Wishart–Laguerre ensembles of random matrices with Dyson index β = 1, 2 and 4. The entries of the data matrix are Gaussian random variables whose variances η
Akemann, G   +5 more
core   +1 more source

Spectra of euclidean random matrices [PDF]

open access: yesNuclear Physics B, 1999
10 pages, 4 ...
Mézard, M., Parisi, G., Zee, A.
openaire   +3 more sources

Random matrices and holographic tensor models

open access: yesJournal of High Energy Physics, 2017
We further explore the connection between holographic O(n) tensor models and random matrices. First, we consider the simplest non-trivial uncolored tensor model and show that the results for the density of states, level spacing and spectral form factor ...
Chethan Krishnan   +2 more
doaj   +1 more source

Truncations of random orthogonal matrices [PDF]

open access: yesPhysical Review E, 2010
4 pages, final revised version (one reference added, minor changes in Introduction)
Khoruzhenko, BA   +2 more
openaire   +5 more sources

Universality for random band matrices

open access: yes, 2020
Random band matrices (RBM) are natural intermediate models to study eigenvalue statistics and quantum propagation in disordered systems, since they interpolate between mean-field type Wigner matrices and random Schrodinger operators. In particular, RBM
Shcherbyna, Tatyana
core   +1 more source

RANDOM MATRICES WITH SLOW CORRELATION DECAY

open access: yesForum of Mathematics, Sigma, 2019
We consider large random matrices with a general slowly decaying correlation among its entries. We prove universality of the local eigenvalue statistics and optimal local laws for the resolvent away from the spectral edges, generalizing the recent result
LÁSZLÓ ERDŐS   +2 more
doaj   +1 more source

Universality of some models of random matrices and random processes [PDF]

open access: yes, 2012
Naumov A. Universality of some models of random matrices and random processes.
Naumov, Alexey
core  

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