Results 61 to 70 of about 1,526,545 (357)
QUANTUM DYNAMICS AND RANDOM MATRIX THEORY [PDF]
Lattice Statistics and Mathematical Physics, 2002 We compute the survival probability of an initial state, with an energy in a certain window, by means of random matrix theory. We determine its probability distribution and show that is is universal, i.e. characterised only by the symmetry class of the hamiltonian and independent of the initial state.
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Phiclust: a clusterability measure for single-cell transcriptomics reveals phenotypic subpopulations
Genome Biology, 2022 The ability to discover new cell phenotypes by unsupervised clustering of single-cell transcriptomes has revolutionized biology. Currently, there is no principled way to decide whether a cluster of cells contains meaningful subpopulations that should be ...
Maria Mircea +5 more
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Analysis of Collective Behavior of Iran Banking Sector by Random Matrix Theory [PDF]
Iranian Journal of Finance, 2019 Banked based financial sector of Iran leads us to focus on the banking industry and its components. One of the important aspects of this industry is its coupling structure. In this paper, we have analyzed the collective behavior of Iran banking sector by
Reza Raei, Ali Namaki, Hanie Vahabi
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Duality in non-Hermitian random matrix theory
Nuclear Physics BWe consider 9 Gaussian matrix ensembles characterized by single symmetry among the 38-fold symmetry classification classes of non-Hermitian random matrices, and establish exact duality formulae of certain observables between them.
Dang-Zheng Liu, Lu Zhang
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Hydrodynamic Theory of the Connected Spectral form Factor
Physical Review X, 2022 One manifestation of quantum chaos is a random-matrix-like fine-grained energy spectrum. Prior to the inverse level spacing time, random matrix theory predicts a “ramp” of increasing variance in the connected part of the spectral form factor. However, in
Michael Winer, Brian Swingle
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Quartic Anharmonic Oscillator and Random Matrix Theory [PDF]
, 1995 In this paper the relationship between the problem of constructing the ground state energy for the quantum quartic oscillator and the problem of computing mean eigenvalue of large positively definite random hermitean matrices is established.
Cicuta, G. M. +2 more
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Applications of mesoscopic CLTs in random matrix theory [PDF]
The Annals of Applied Probability, 2018 We present some applications of central limit theorems on mesoscopic scales for random matrices. When combined with the recent theory of "homogenization" for Dyson Brownian Motion, this yields the universality of quantities which depend on the behavior ...
B. Landon, Philippe Sosoe
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Universal shocks in random matrix theory [PDF]
Physical Review E, 2010 We link the appearance of universal kernels in random matrix ensembles to the phenomenon of shock formation in some fluid dynamical equations. Such equations are derived from Dyson's random walks after a proper rescaling of the time. In the case of the Gaussian Unitary Ensemble, on which we focus in this letter, we show that the orthogonal polynomials,
Maciej A. Nowak, Jean-Paul Blaizot
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A Big Data Architecture Design for Smart Grids Based on Random Matrix Theory [PDF]
IEEE Transactions on Smart Grid, 2015 Model-based analysis tools, built on assumptions and simplifications, are difficult to handle smart grids with data characterized by volume, velocity, variety, and veracity (i.e., 4Vs data).
Xing He +5 more
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Quantum graphs and random-matrix theory [PDF]
Journal of Physics A: Mathematical and Theoretical, 2015 For simple connected graphs with incommensurate bond lengths and with unitary symmetry we prove the Bohigas-Giannoni-Schmit conjecture in its most general form. Using supersymmetry and taking the limit of infinite graph size, we show that the generating function for every (P, Q) correlation function for both closed and open graphs coincides with the ...
Hans A. Weidenmüller, Z. Pluhař
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