Results 41 to 50 of about 801,980 (275)
, 2016 Random matrix theory is a well-developed area of probability theory that has numerous connections with other areas of mathematics and its applications. Much of the literature in this area is concerned with matrices that possess many exact or approximate ...
F. Lust-Piquard +12 more
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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.
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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
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Rotationally invariant ensembles of integrable matrices [PDF]
, 2016 We construct ensembles of random integrable matrices with any prescribed number of nontrivial integrals and formulate integrable matrix theory (IMT) -- a counterpart of random matrix theory (RMT) for quantum integrable models.
Scaramazza, Jasen A. +2 more
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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
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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
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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
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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].
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Small-Deviation Inequalities for Sums of Random Matrices
, 2018 Random matrices have played an important role in many fields including machine learning, quantum information theory and optimization. One of the main research focuses is on the deviation inequalities for eigenvalues of random matrices. Although there are
Gao, Xianjie +2 more
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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
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