Results 61 to 70 of about 1,067,783 (177)
Random Matrix Theory and Chiral Logarithms [PDF]
, 1999 Recently, the contributions of chiral logarithms predicted by quenched chiral perturbation theory have been extracted from lattice calculations of hadron masses.
Berbenni-Bitsch, M. E. +6 more
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Gap probabilities in non-Hermitian random matrix theory [PDF]
, 2009 We compute the gap probability that a circle of radius r around the origin contains exactly k complex eigenvalues. Four different ensembles of random matrices are considered: the Ginibre ensembles and their chiral complex counterparts, with both complex
Abramowitz M. +6 more
core +2 more sources
Research on Chinese Stock Market during COVID-19—Based on Random Matrix Theory
Complexity, 2023 This paper focuses on the three industries that are greatly impacted by COVID-19, including the consumption industry, the pharmaceutical industry, and the financial industry.
Wu Yaojie, Fang Tianhui
doaj +1 more source
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.
openaire +3 more sources
Large-$N_c$ gauge theory and chiral random matrix theory
, 2013 We discuss how the $1/N_c$ expansion and the chiral random matrix theory ($\chi$RMT) can be used in the study of large-$N_c$ gauge theories. We first clarify the parameter region in which each of these two approaches is valid: while the fermion mass $m ...
Hanada, Masanori +2 more
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Massive-scale gene co-expression network construction and robustness testing using random matrix theory. [PDF]
PLoS ONE, 2013 The study of gene relationships and their effect on biological function and phenotype is a focal point in systems biology. Gene co-expression networks built using microarray expression profiles are one technique for discovering and interpreting gene ...
Scott M Gibson +5 more
doaj +1 more source
Quantum chaos in perturbative super-Yang-Mills Theory
SciPost Physics, 2023 We provide numerical evidence that the perturbative spectrum of anomalous dimensions in maximally supersymmetric $SU(N)$ Yang-Mills theory is chaotic at finite values of $N$.
Tristan McLoughlin, Raul Pereira, Anne Spiering
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Law of addition in random matrix theory
, 1996 We discuss the problem of adding random matrices, which enable us to study Hamiltonians consisting of a deterministic term plus a random term. Using a diagrammatic approach and introducing the concept of ``gluon connectedness," we calculate the density ...
't Hooft +22 more
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Open quantum systems and Random Matrix Theory
, 2014 A simple model for open quantum systems is analyzed with Random Matrix Theory. The system is coupled to the continuum in a minimal way. In this paper we see the effect of opening the system on the level statistics, in particular the $\Delta_3(L ...
Mulhall, Declan
core +1 more source
Ensemble averaging in JT gravity from entanglement in Matrix Quantum Mechanics
Journal of High Energy Physics, 2023 We consider the generalization of a matrix integral with arbitrary spectral curve ρ 0(E) to a 0+1D theory of matrix quantum mechanics (MQM). Using recent techniques for 1D quantum systems at large-N, we formulate a hydrodynamical effective theory for the
Gabriele Di Ubaldo, Giuseppe Policastro
doaj +1 more source