Results 11 to 20 of about 797,910 (276)
Products of Random Matrices [PDF]
Physical Review E, 2002 We derive analytic expressions for infinite products of random 2x2 matrices. The determinant of the target matrix is log-normally distributed, whereas the remainder is a surprisingly complicated function of a parameter characterizing the norm of the ...
A. D. Jackson +6 more
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Introduction to Random Matrices [PDF]
, 1992 These notes provide an introduction to the theory of random matrices. The central quantity studied is $\tau(a)= det(1-K)$ where $K$ is the integral operator with kernel $1/\pi} {\sin\pi(x-y)\over x-y} \chi_I(y)$. Here $I=\bigcup_j(a_{2j-1},a_{2j})$ and $\
A. D. Stone +35 more
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Truncations of Random Orthogonal Matrices [PDF]
Physical Review E, 2010 Statistical properties of non--symmetric real random matrices of size $M$, obtained as truncations of random orthogonal $N\times N$ matrices are investigated.
Boris A. Khoruzhenko +5 more
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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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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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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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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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Calabi-Yau CFTs and random matrices
Journal of High Energy Physics, 2022 Using numerical methods for finding Ricci-flat metrics, we explore the spectrum of local operators in two-dimensional conformal field theories defined by sigma models on Calabi-Yau targets at large volume.
Nima Afkhami-Jeddi +2 more
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