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Superstatistics in Random Matrix Theory
Published 2012-12-01Subjects: “…Chaotic dynamics, Quantum systems, Random matrix theory, Superstatistics.…”
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Crystallization of random matrix orbits
Published 2020“…In the second order, we observe a version of the discrete Gaussian Free Field put on top of this lattice, which provides a new explanation as to why the (continuous) Gaussian Free Field governs the global asymptotics of random matrix ensembles. ©2020…”
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Nuclei, Primes and the Random Matrix Connection
Published 2009-09-01Subjects: “…Random Matrix Theory…”
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Beyond universality in random matrix theory
Published 2018Get full text
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Random Matrix Theory and Its Innovative Applications
Published 2018“…Recently more and more disciplines of science and engineering have found Random Matrix Theory valuable. Some disciplines use the limiting densities to indicate the cutoff between "noise" and "signal." …”
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Random matrix theory, numerical computation and applications
Published 2018“…We thereby provide new insights into the deeper mathematics underlying random matrix theory.…”
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On the Cartan decomposition for classical random matrix ensembles
Published 2022“…<jats:p> We complete Dyson’s dream by cementing the links between symmetric spaces and classical random matrix ensembles. Previous work has focused on a one-to-one correspondence between symmetric spaces and many but not all of the classical random matrix ensembles. …”
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Appearance of random matrix theory in deep learning
Published 2021“…These results shed new light on the applicability of Random Matrix Theory to modelling neural networks and suggest a role for it in the study of loss surfaces in deep learning.…”
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Random Matrix Transformation and Its Application in Image Hiding
Published 2023-01-01Subjects: “…random matrix…”
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Random matrix approach to the dynamics of stock inventory variations
Published 2012-01-01“…We find that the largest and the second largest eigenvalues ( λ _1 and λ _2 ) of the correlation matrix cannot be explained by random matrix theory and the projections of investors' inventory variations on the first eigenvector u ( λ _1 ) are linearly correlated with stock returns, where individual investors play a dominating role. …”
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A random matrix model with localization and ergodic transitions
Published 2015-01-01Subjects: Get full text
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Universal Chern number statistics in random matrix fields
Published 2023-07-01“…We investigate the probability distribution of Chern numbers (quantum Hall conductance integers) for a parametric version of the GUE random matrix ensemble, which is a model for a chaotic or disordered system. …”
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Conditional random matrix ensembles and the stability of dynamical systems
Published 2015-01-01“…Random matrix theory (RMT) has found applications throughout physics and applied mathematics, in subject areas as diverse as communications networks, population dynamics, neuroscience, and models of the banking system. …”
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