Results 31 to 40 of about 797,910 (276)
Structured random measurements in signal processing [PDF]
, 2014 Compressed sensing and its extensions have recently triggered interest in randomized signal acquisition. A key finding is that random measurements provide sparse signal reconstruction guarantees for efficient and stable algorithms with a minimal number ...
Krahmer, Felix, Rauhut, Holger
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A Note on Cumulant Technique in Random Matrix Theory
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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, 2023 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 and the eigenvectors of Bernoulli matrices.
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Volumes And Random Matrices [PDF]
The Quarterly Journal of Mathematics, 2021 AbstractThis article is an introduction to newly discovered relations between volumes of moduli spaces of Riemann surfaces or super Riemann surfaces, simple models of gravity or supergravity in two dimensions, and random matrix ensembles. (The article is based on a lecture at the conference on the Mathematics of Gauge Theory and String Theory ...
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Universality classes of non-Hermitian random matrices
Physical Review Research, 2020 Non-Hermitian random matrices have been utilized in such diverse fields as dissipative and stochastic processes, mesoscopic physics, nuclear physics, and neural networks.
Ryusuke Hamazaki +3 more
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Singularity of random symmetric matrices – simple proof
Comptes Rendus. Mathématique, 2021 In this paper we give a simple, short, and self-contained proof for a non-trivial upper bound on the probability that a random $\pm 1$ symmetric matrix is singular.
Ferber, Asaf
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Semicircle law on short scales and delocalization of eigenvectors for Wigner random matrices
, 2007 We consider $N\times N$ Hermitian random matrices with i.i.d. entries. The matrix is normalized so that the average spacing between consecutive eigenvalues is of order $1/N$.
Benjamin Schlein +3 more
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Random matrices and holographic tensor models
Journal of High Energy Physics, 2017 We further explore the connection between holographic O(n) tensor models and random matrices. First, we consider the simplest non-trivial uncolored tensor model and show that the results for the density of states, level spacing and spectral form factor ...
Chethan Krishnan +2 more
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Infinite Series of Singularities in the Correlated Random Matrices Product
Frontiers in Physics, 2021 We consider the product of a large number of two 2 × 2 matrices chosen randomly (with some correlation): at any round there are transition probabilities for the matrix type, depending on the choice at previous round. Previously, a functional equation has
Ruben Poghosyan, David B. Saakian
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, 2016 Random matrix theory is a well-developed area of probability theory that has numerous connections with other areas of mathematics and its applications. Much of the literature in this area is concerned with matrices that possess many exact or approximate ...
F. Lust-Piquard +12 more
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