Results 41 to 50 of about 1,067,783 (177)

Odd-flavored QCD_3 and Random Matrix Theory [PDF]

, 1998
We consider QCD_3 with an odd number of flavors in the mesoscopic scaling region where the field theory finite-volume partition function is equivalent to a random matrix theory partition function.
Akemann, Akemann, Damgaard, Damgaard, Guhr, Jackiw, Jesper Christiansen, Kanzieper, Leutwyler, Osborn, Pisarski, Redlich, Redlich, Shuryak, Sohnius, Verbaarschot, Zinn-Justin   +16 more
core   +2 more sources

Staggered chiral random matrix theory

, 2011
We present a random matrix theory (RMT) for the staggered lattice QCD Dirac operator. The staggered RMT is equivalent to the zero-momentum limit of the staggered chiral Lagrangian and includes all taste breaking terms at their leading order.
B. Svetitsky, James C. Osborn
core   +1 more source

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

Non-Hermitian Euclidean random matrix theory [PDF]

Physical Review E, 2011
11 pages, 9 ...
Goetschy, A., Skipetrov, S. E.
openaire   +4 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

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

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
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