Results 41 to 50 of about 138,052 (292)

Duality in non-Hermitian random matrix theory

Nuclear Physics B
We 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
doaj   +1 more source

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, Marko Ljubotina, Tomaž Prosen   +2 more
doaj   +1 more source

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, Mazène Hochane, Xueying Fan, Susana M. Chuva de Sousa Lopes, Diego Garlaschelli, Stefan Semrau   +5 more
doaj   +1 more source

Characteristic polynomials of complex random matrix models

, 2002
We calculate the expectation value of an arbitrary product of characteristic polynomials of complex random matrices and their hermitian conjugates. Using the technique of orthogonal polynomials in the complex plane our result can be written in terms of
Akemann, G, Vernizzi, G, Vernizzi, G., Akemann, Gernot   +3 more
core   +1 more source

Bernoulli Random Matrices

, 2021
Random Matrix theory has become a field on its own with a breadth of new results, techniques, and ideas in the last thirty years. In these proceedings of the 8ECM 2021, I illustrate some of these advances by describing what is known about the spectrum ...
Guionnet, Alice
core   +1 more source

Action correlations and random matrix theory [PDF]

Journal of Physics A: Mathematical and General, 2003
26 pages, 15 ...
Smilansky, Uzy, Verdene, Basile
openaire   +3 more sources

Tensor product random matrix theory

Physical Review Research
The evolution of complex correlated quantum systems such as random circuit networks is governed by the dynamical buildup of both entanglement and entropy.
Alexander Altland, Joaquim Telles de Miranda, Tobias Micklitz   +2 more
doaj   +1 more source

From mice to humans—divergent strategies for intestinal homeostasis and regeneration

FEBS Letters, EarlyView.
Recent advances such as organoid genome editing, xenotransplantation, imaging, and whole‐genome sequencing have enabled direct studies of human intestinal stem cells (ISCs). These studies reveal species‐specific features, including slower ISC proliferation, distinct injury responses, slower somatic mutation accumulation in humans, and an inverse ...
Keiko Ishikawa, Shinya Sugimoto, Toshiro Sato   +2 more
wiley   +1 more source

Enhancing Portfolio Allocation: A Random Matrix Theory Perspective

Mathematics
This paper explores the application of Random Matrix Theory (RMT) as a methodological enhancement for portfolio selection within financial markets.
Fabio Vanni, Asmerilda Hitaj, Elisa Mastrogiacomo   +2 more
doaj   +1 more source

Raney Distributions and Random Matrix Theory [PDF]

Journal of Statistical Physics, 2014
Recent works have shown that the family of probability distributions with moments given by the Fuss-Catalan numbers permit a simple parameterized form for their density. We extend this result to the Raney distribution which by definition has its moments given by a generalization of the Fuss-Catalan numbers.
Forrester, PJ, Liu, D-Z
openaire   +3 more sources