Results 11 to 20 of about 8,430,397 (275)
Riemann Zeros and Random Matrix Theory [PDF]
Milan Journal of Mathematics, 2010 This is a survey article on the interaction between zeta functions and random matrix theory. Their connection originates from \textit{H. L. Montgomery}'s pair-correlation conjecture [in: Analytic Number Theory, Proc. Sympos. Pure Math. 24, 181--193 (1973; Zbl 0268.10023)], from which the story starts.
N C Snaith
exaly +7 more sources
A Note on Cumulant Technique in Random Matrix Theory [PDF]
Entropy, 2023 We discuss the cumulant approach to spectral properties of large random matrices. In particular, we study in detail the joint cumulants of high traces of large unitary random matrices and prove Gaussian fluctuation for pair-counting statistics with non ...
Alexander Soshnikov, Chutong Wu
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Variability in mRNA translation: a random matrix theory approach [PDF]
Scientific Reports, 2021 The rate of mRNA translation depends on the initiation, elongation, and termination rates of ribosomes along the mRNA. These rates depend on many “local” factors like the abundance of free ribosomes and tRNA molecules in the vicinity of the mRNA molecule.
Michael Margaliot +2 more
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Superstatistics in Random Matrix Theory [PDF]
Sultan Qaboos University Journal for Science, 2012 Random matrix theory (RMT) provides a successful model for quantum systems, whose classical counterpart has chaotic dynamics. It is based on two assumptions: (1) matrix-element independence, and (2) base invariance.
A.Y. Abul-Magd
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Dynamic Functional Connectivity Change-Point Detection With Random Matrix Theory Inference [PDF]
Frontiers in Neuroscience, 2021 To study the dynamic nature of brain activity, functional magnetic resonance imaging (fMRI) data is useful including some temporal dependencies between the corresponding neural activity estimates.
Jaehee Kim +3 more
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A Random Matrix Theory Approach to Denoise Single-Cell Data [PDF]
Patterns, 2020 Summary: Single-cell technologies provide the opportunity to identify new cellular states. However, a major obstacle to the identification of biological signals is noise in single-cell data. In addition, single-cell data are very sparse. We propose a new
Luis Aparicio +3 more
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Random matrix theory of the isospectral twirling [PDF]
SciPost Physics, 2021 We present a systematic construction of probes into the dynamics of isospectral ensembles of Hamiltonians by the notion of Isospectral twirling, expanding the scopes and methods of ref.[1].
Salvatore F. E. Oliviero, Lorenzo Leone, Francesco Caravelli, Alioscia Hamma
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Extremal correlators and random matrix theory [PDF]
Journal of High Energy Physics, 2021 We study the correlation functions of Coulomb branch operators of four-dimensional N $$ \mathcal{N} $$ = 2 Superconformal Field Theories (SCFTs).
Alba Grassi +2 more
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Uncovering functional signature in neural systems via random matrix theory. [PDF]
PLoS Computational Biology, 2019 Neural systems are organized in a modular way, serving multiple functionalities. This multiplicity requires that both positive (e.g. excitatory, phase-coherent) and negative (e.g.
Assaf Almog +6 more
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Developments in random matrix theory [PDF]
Journal of Physics A: Mathematical and General, 2003 22 pages ...
Forrester, PJ +2 more
openaire +3 more sources