Results 31 to 40 of about 2,230,753 (183)
Black holes and random matrices
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 +8 more
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Relating Entropies of Quantum Channels
Entropy, 2021 In this work, we study two different approaches to defining the entropy of a quantum channel. One of these is based on the von Neumann entropy of the corresponding Choi–Jamiołkowski state.
Dariusz Kurzyk +2 more
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Random bistochastic matrices [PDF]
Journal of Physics A: Mathematical and Theoretical, 2009 22 pages, 4 ...
Cappellini, Valerio +3 more
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Introduction to random matrices [PDF]
, 2005 44 ...
Tracy, Craig A., Widom, Harold
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Generalized Ensemble of Random Matrices [PDF]
Physical Review Letters, 1994 9 ...
Moshe, Moshe +2 more
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A Note on Cumulant Technique in Random Matrix Theory
Entropy, 2023 We discuss the cumulant approach to spectral properties of large random matrices. In particular, we study in detail the joint cumulants of high traces of large unitary random matrices and prove Gaussian fluctuation for pair-counting statistics with non ...
Alexander Soshnikov, Chutong Wu
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RANDOM MATRICES: THE CIRCULAR LAW [PDF]
Communications in Contemporary Mathematics, 2008 Let x be a complex random variable with mean zero and bounded variance σ2. Let Nn be a random matrix of order n with entries being i.i.d. copies of x. Let λ1, …, λn be the eigenvalues of [Formula: see text]. Define the empirical spectral distributionμn of Nn by the formula [Formula: see text] The following well-known conjecture has been open since ...
Tao, Terence, Van, Vu
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Resilience of the rank of random matrices [PDF]
Combinatorics, Probability and Computing, 2020 AbstractLet M be an n × m matrix of independent Rademacher (±1) random variables. It is well known that if $n \leq m$, then M is of full rank with high probability. We show that this property is resilient to adversarial changes to M. More precisely, if $m \ge n + {n^{1 - \varepsilon /6}}$, then even after changing the sign of (1 – ε)m/2 entries, M is ...
Asaf Ferber, Kyle Luh, Gweneth McKinley
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Interpolation between Airy and Poisson statistics for unitary chiral non-Hermitian random matrix ensembles [PDF]
, 2010 We consider a family of chiral non-Hermitian Gaussian random matrices in the unitarily invariant symmetry class. The eigenvalue distribution in this model is expressed in terms of Laguerre polynomials in the complex plane.
Akemann, G, Bender, M
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Incremental universality of Wigner random matrices [PDF]
Royal Society Open ScienceProperties of universality have essential relevance for the theory of random matrices usually called the Wigner ensemble. The issue was analysed up to recent years with detailed and relevant results.
Giovanni M. Cicuta, Mario Pernici
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