Results 31 to 40 of about 128,402 (249)
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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Dynamical phases in a ``multifractal'' Rosenzweig-Porter model
SciPost Physics, 2021 We consider the static and the dynamic phases in a Rosenzweig-Porter (RP) random matrix ensemble with a distribution of off-diagonal matrix elements of the form of the large-deviation ansatz.
Ivan M. Khaymovich, Vladimir E. Kravtsov
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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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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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Pseudo‐Hermitian random matrix theory [PDF]
Fortschritte der Physik, 2012 AbstractComplex extension of quantum mechanics and the discovery of pseudo‐unitarily invariant random matrix theory has set the stage for a number of applications of these concepts in physics. We briefly review the basic ideas and present applications to problems in statistical mechanics where new results have become possible.
Srivastava, S. C. L., Jain, S. R.
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Many-Body Quantum Chaos: Analytic Connection to Random Matrix Theory
Physical Review X, 2018 A key goal of quantum chaos is to establish a relationship between widely observed universal spectral fluctuations of clean quantum systems and random matrix theory (RMT).
Pavel Kos +2 more
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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,
Blaizot, Jean-Paul, Nowak, Maciej A.
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Tensor product random matrix theory
Physical Review ResearchThe evolution of complex correlated quantum systems such as random circuit networks is governed by the dynamical buildup of both entanglement and entropy.
Alexander Altland +2 more
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FEBS Letters, EarlyView.The physical dimensions and shape of bacterial cells define the surface area available to acquire nutrients and the volume available for synthesizing proteins and DNA. Here, we use computational systems biology to decode the importance of cell geometry as a major determinant of prokaryotic phenotype, including growth rate and metabolic efficiency. This
Ross P. Carlson +6 more
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Enhancing Portfolio Allocation: A Random Matrix Theory Perspective
MathematicsThis paper explores the application of Random Matrix Theory (RMT) as a methodological enhancement for portfolio selection within financial markets.
Fabio Vanni +2 more
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