Results 11 to 20 of about 685,164 (300)
, 2015 This article focuses on free probability theory, which is useful for dealing with asymptotic eigenvalue distributions in situations involving several matrices. In particular, it considers some of the basic ideas and results of free probability theory, mostly from the random matrix perspective.
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Effective Action in Free Probability
Markov Processes And Related Fields, 2023 Recent works have explored relations between classical and quantum statistical physics on the one hand and Voiculescu's theory of free probability on the other. Motivated by these results, the present work focuses on the notion of effective action, which is closely related to the large deviation rate function in classical probability and one-particle ...
Ebrahimi-Fard, Kurusch, Patras, Frederic
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Physical Review XUnitary designs have become a vital tool for investigating pseudorandomness, since they approximate the statistics of the uniform Haar ensemble. Despite their central role in quantum information, their relations to quantum chaotic evolution and, in ...
Michele Fava +2 more
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Eigenstate Thermalization Hypothesis and Free Probability
Physical Review Letters, 2022 5 pages, 2 figures and 5 pages of supplementary material. This paper has been submitted simultaneously with "Dynamics of Fluctuations in the Open Quantum SSEP and Free Probability" by L. Hruza and D.
Pappalardi, Silvia +2 more
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Certain group dynamical systems induced by Hecke algebras [PDF]
Opuscula Mathematica, 2016 In this paper, we study dynamical systems induced by a certain group \(\mathfrak{T}_{N}^{K}\) embedded in the Hecke algebra \(\mathcal{H}(G_{p})\) induced by the generalized linear group \(G_{p} = GL_{2}(\mathbb{Q}_{p})\) over the \(p\)-adic number ...
Ilwoo Cho
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S-transform in finite free probability
Advances in Mathematics45 ...
Arizmendi, Octavio +3 more
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Deformation of semicircular and circular laws via p-adic number fields and sampling of primes [PDF]
Opuscula Mathematica, 2019 In this paper, we study semicircular elements and circular elements in a certain Banach \(*\)-probability space \((\mathfrak{LS},\tau ^{0})\) induced by analysis on the \(p\)-adic number fields \(\mathbb{Q}_{p}\) over primes \(p\).
Ilwoo Cho, Palle E. T. Jorgensen
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Limit theorems in free probability theory II
Open Mathematics, 2008 Chistyakov G, Götze F. Limit theorems in free probability theory II. CENTRAL EUROPEAN JOURNAL OF MATHEMATICS. 2008;6(1):87-117.Based on an analytical approach to the definition of multiplicative free convolution on probability measures on the nonnegative
Chistyakov Gennadii, Götze Friedrich
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Banach-Space Operators Acting on Semicircular Elements Induced by p-Adic Number Fields over Primes p
Mathematics, 2019 In this paper, we study certain Banach-space operators acting on the Banach *-probability space ( LS , τ 0 ) generated by semicircular elements Θ p , j induced by p-adic number fields Q p over the set P of all
Ilwoo Cho
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