Results 41 to 50 of about 797,910 (276)
Invertibility of symmetric random matrices [PDF]
, 2011 We study n by n symmetric random matrices H, possibly discrete, with iid above-diagonal entries. We show that H is singular with probability at most exp(-n^c), and the spectral norm of the inverse of H is O(sqrt{n}).
Alon +19 more
core +3 more sources
Proceedings of the International Congress of Mathematicians (ICM 2018), 2019 We survey recent mathematical results about the spectrum of random band matrices. We start by exposing the Erd{\H o}s-Schlein-Yau dynamic approach, its application to Wigner matrices, and extension to other mean-field models. We then introduce random band matrices and the problem of their Anderson transition.
openaire +2 more sources
The Smallest Singular Value Anomaly and the Condition Number Anomaly
Axioms, 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
RANDOM MATRICES WITH SLOW CORRELATION DECAY
Forum 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
Generating random density matrices
, 2011 We study various methods to generate ensembles of random density matrices of a fixed size N, obtained by partial trace of pure states on composite systems.
Armstrong D. +13 more
core +3 more sources
Random polynomials, random matrices, and $L$-functions
, 2006 We show that the Circular Orthogonal Ensemble of random matrices arises naturally from a family of random polynomials. This sheds light on the appearance of random matrix statistics in the zeros of the Riemann zeta-function.Comment: Added background ...
David W Farmer +19 more
core +1 more source
Universality of Wigner Random Matrices [PDF]
, 2009 We consider $N\times N$ symmetric or hermitian random matrices with independent, identically distributed entries where the probability distribution for each matrix element is given by a measure $\nu$ with a subexponential decay.
Erdos, Laszlo
core +2 more sources
Replicas for random matrices [PDF]
International Journal of Modern Physics A, 2022 We discuss the use of the replica ansatz in computing free energies in random matrix theory and confirm a conjectured condition on analytic continuation in the replica index at large-[Formula: see text].
openaire +3 more sources
FEBS Letters, EarlyView.The Ile181Asn variant of human UDP‐xylose synthase (hUXS1), associated with a short‐stature genetic syndrome, has previously been reported as inactive. Our findings demonstrate that Ile181Asn‐hUXS1 retains catalytic activity similar to the wild‐type but exhibits reduced stability, a looser oligomeric state, and an increased tendency to precipitate ...
Tuo Li +2 more
wiley +1 more source
Cell wall target fragment discovery using a low‐cost, minimal fragment library
FEBS Letters, EarlyView.LoCoFrag100 is a fragment library made up of 100 different compounds. Similarity between the fragments is minimized and 10 different fragments are mixed into a single cocktail, which is soaked to protein crystals. These crystals are analysed by X‐ray crystallography, revealing the binding modes of the bound fragment ligands.
Kaizhou Yan +5 more
wiley +1 more source