Results 21 to 30 of about 2,230,753 (183)
QCD Effective Locality: A Theoretical and Phenomenological Review
Universe, 2021 About ten years ago, the use of standard functional manipulations was demonstrated to imply an unexpected property satisfied by the fermionic Green’s functions of QCD and dubbed Effective Locality.
Herbert M. Fried +3 more
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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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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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Tridiagonalizing random matrices
Physical Review D, 2023 The Hungarian physicist Eugene Wigner introduced random matrix models in physics to describe the energy spectra of atomic nuclei. As such, the main goal of random matrix theory (RMT) has been to derive the eigenvalue statistics of matrices drawn from a given distribution.
Vijay Balasubramanian +2 more
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Spectra of random matrices [PDF]
, 2022 The recent interest of the scientific community about the properties of networks is based on the possibility to study complex real world systems by renouncing the exact knowledge of the nature of system itself.
Martina, Silvia
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Random antagonistic matrices [PDF]
Journal of Physics A: Mathematical and Theoretical, 2016 The ensemble of antagonistic matrices is introduced and studied. In antagonistic matrices the entries $\mathcal A_{i,j}$ and $\mathcal A_{j,i}$ are real and have opposite signs, or are both zero, and the diagonal is zero. This generalization of antisymmetric matrices is suggested by the linearized dynamics of competitive species in ecology.
G. M. Cicuta, L.G. Molinari
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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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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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