Results 11 to 20 of about 801,980 (275)
Spectra of Euclidean Random Matrices [PDF]
Nuclear Physics B, 1999 We study the spectrum of a random matrix, whose elements depend on the Euclidean distance between points randomly distributed in space. This problem is widely studied in the context of the Instantaneous Normal Modes of fluids and is particularly relevant
A. Zee +14 more
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Singular-Value Statistics of Non-Hermitian Random Matrices and Open Quantum Systems
PRX Quantum, 2023 The spectral statistics of non-Hermitian random matrices are of importance as a diagnostic tool for chaotic behavior in open quantum systems. Here, we investigate the statistical properties of singular values in non-Hermitian random matrices as an ...
Kohei Kawabata +3 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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Physical Review E, 2008 We present a Gaussian ensemble of random cyclic matrices on the real field and study their spectral fluctuations. These cyclic matrices are shown to be pseudo-symmetric with respect to generalized parity. We calculate the joint probability distribution function of eigenvalues and the spacing distributions analytically and numerically.
Jain, Sudhir R. +1 more
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$S$-constrained random matrices [PDF]
Discrete Mathematics & Theoretical Computer Science, 2006 Let $S$ be a set of $d$-dimensional row vectors with entries in a $q$-ary alphabet. A matrix $M$ with entries in the same $q$-ary alphabet is $S$-constrained if every set of $d$ columns of $M$ contains as a submatrix a copy of the vectors in $S$, up to ...
Sylvain Gravier, Bernard Ycart
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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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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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Sparse block-structured random matrices: universality
Journal of Physics: Complexity, 2023 We study ensembles of sparse block-structured random matrices generated from the adjacency matrix of a Erdös–Renyi random graph with N vertices of average degree Z , inserting a real symmetric d × d random block at each non-vanishing entry. We consider
Giovanni M Cicuta, Mario Pernici
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Statistical Topology—Distribution and Density Correlations of Winding Numbers in Chiral Systems
Entropy, 2023 Statistical Topology emerged as topological aspects continue to gain importance in many areas of physics. It is most desirable to study topological invariants and their statistics in schematic models that facilitate the identification of universalities ...
Thomas Guhr
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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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