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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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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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Quasiclassical Random Matrix Theory [PDF]
Physical Review Letters, 1996 We directly combine ideas of the quasiclassical approximation with random matrix theory and apply them to the study of the spectrum, in particular to the two-level correlator.
A. L. Andreev +23 more
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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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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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Random matrix theory within superstatistics [PDF]
Physical Review E, 2005 We propose a generalization of the random matrix theory following the basic prescription of the recently suggested concept of superstatistics. Spectral characteristics of systems with mixed regular-chaotic dynamics are expressed as weighted averages of ...
A. M. Mathai +8 more
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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 In this preface to the Journal of Physics A, Special Edition on Random Matrix Theory, we give a review of the main historical developments of random matrix theory.
Forrester, P. J. +2 more
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