Results 21 to 30 of about 797,910 (276)
Rooted trees and moments of large sparse random matrices [PDF]
Discrete Mathematics & Theoretical Computer Science, 2003 In these expository paper we describe the role of the rooted trees as a base for convenient tools in studies ofrandom matrices. Regarding the Wigner ensemble of random matrices, we represent main ingredients ofthis approach.
Oleksiy Khorunzhiy
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Free random Lévy matrices [PDF]
Physical Review E, 2002 Using the theory of free random variables (FRV) and the Coulomb gas analogy, we construct stable random matrix ensembles that are random matrix generalizations of the classical one-dimensional stable L vy distributions. We show that the resolvents for the corresponding matrices obey transcendental equations in the large size limit.
Burda, Z. +5 more
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Sparse random block matrices [PDF]
Journal of Physics A: Mathematical and Theoretical, 2022 Abstract The spectral moments of ensembles of sparse random block matrices are analytically evaluated in the limit of large order. The structure of the sparse matrix corresponds to the Erdös–Renyi random graph. The blocks are i.i.d. random matrices of the classical ensembles GOE or GUE. The moments are evaluated for finite or infinite
Giovanni M Cicuta, Mario Pernici
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Stochastic differential equations for random matrices processes in the nonlinear framework [PDF]
Opuscula Mathematica, 2018 In this paper, we investigate the processes of eigenvalues and eigenvectors of a symmetric matrix valued process \(X_{t}\), where \(X_{t}\) is the solution of a general SDE driven by a \(G\)-Brownian motion matrix.
Sara Stihi +2 more
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Exploring Transition from Stability to Chaos through Random Matrices
Dynamics, 2023 This study explores the application of random matrices to track chaotic dynamics within the Chirikov standard map. Our findings highlight the potential of matrices exhibiting Wishart-like characteristics, combined with statistical insights from their ...
Roberto da Silva, Sandra Denise Prado
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Randomized Simplicial Hessian Update
Mathematics, 2021 Recently, a derivative-free optimization algorithm was proposed that utilizes a minimum Frobenius norm (MFN) Hessian update for estimating the second derivative information, which in turn is used for accelerating the search.
Árpád Bűrmen +2 more
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Chaos, complexity, and random matrices
Journal of High Energy Physics, 2017 Chaos and complexity entail an entropic and computational obstruction to describing a system, and thus are intrinsically difficult to characterize. In this paper, we consider time evolution by Gaussian Unitary Ensemble (GUE) Hamiltonians and analytically
Jordan Cotler +3 more
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Random matrices, random polynomials and Coulomb systems [PDF]
, 1999 It is well known that the joint probability density of the eigenvalues of Gaussian ensembles of random matrices may be interpreted as a Coulomb gas.
Leboeuf, P.
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Hearing random matrices and random waves
New Journal of Physics, 2013 The eigenangles of random matrices in the three standard circular ensembles are rendered as sounds in several different ways. The different fluctuation properties of these ensembles can be heard, and distinguished from the two extreme cases, of angles ...
M V Berry, Pragya Shukla
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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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