Results 41 to 50 of about 129,650 (250)
Generalized spectral form factors and the statistics of heavy operators
Journal of High Energy Physics, 2022 The spectral form factor is a powerful probe of quantum chaos that diagnoses the statistics of energy levels, but is blind to other features of a theory such as matrix elements of operators or OPE coefficients in conformal field theories.
Alexandre Belin +3 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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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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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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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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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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Design and analysis strategies for robust microbiome ageing research
FEBS Letters, EarlyView.The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik +5 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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