High-Dimensional Random Matrices from the Classical Matrix Groups, and Generalized Hypergeometric Functions of Matrix Argument by Donald St. P. Richards

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$S$-constrained random matrices by Sylvain Gravier, Bernard Ycart

Subjects: “…random matrix…”
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Analysis of biclusters with applications to gene expression data by Gahyun Park, Wojciech Szpankowski

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Construction of Structured Random Measurement Matrices in Semi-Tensor Product Compressed Sensing Based on Combinatorial Designs by Junying Liang, Haipeng Peng, Lixiang Li, Fenghua Tong

“…A random matrix needs large storage space and is difficult to be implemented in hardware, and a deterministic matrix has large reconstruction error. …”
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N $$ \mathcal{N} $$ = 2 JT supergravity and matrix models by Gustavo J. Turiaci, Edward Witten

“…Abstract Generalizing previous results for N $$ \mathcal{N} $$ = 0 and N $$ \mathcal{N} $$ = 1, we analyze N $$ \mathcal{N} $$ = 2 JT supergravity on asymptotically AdS2 spaces with arbitrary topology and show that this theory of gravity is dual, in a holographic sense, to a certain random matrix ensemble in which supermultiplets of different R-charge are statistically independent and each is described by its own N $$ \mathcal{N} $$ = 2 random matrix ensemble. …”
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AdS3/RMT2 duality by Gabriele Di Ubaldo, Eric Perlmutter

“…Abstract We introduce a framework for quantifying random matrix behavior of 2d CFTs and AdS3 quantum gravity. …”
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Topics in linear spectral statistics of random matrices by Lodhia, Asad

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Chaos and ergodicity in extended quantum systems with noisy driving by Kos, P, Bertini, B, Prosen, T

“…We argue that the presence of quantum chaos implies that at large times the time evolution operator becomes e�ectively a random matrix in the many-body Hilbert space. To quantify this phenomenon we compute analytically the squared magnitude of the trace of the evolution operator � the generalised spectral form factor � and compare it with the prediction of Random Matrix Theory (RMT). …”

Topics in probabilistic number theory by Kovaleva, V

“…In this work we explore three distinct problems on the interface of number theory and random matrix theory. First, we compute the average of two shifted squares of the Riemann zeta on the critical line with shifts up to size T 6/5−ε. …”

Hyper-Chaotic Color Image Encryption Based on Transformed Zigzag Diffusion and RNA Operation by Duzhong Zhang, Lexing Chen, Taiyong Li

“…Second, plaintext color image would be permuted by using the first pseudo-random matrix to convert to an initial cipher image. …”
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Application of RMT-RNN improved decomposition onto defected system by Xie, Wanqin, Ph. D. Massachusetts Institute of Technology

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Random Triangle Theory with Geometry and Applications by Edelman, Alan, Strang, Gilbert

“…We explore this old question from a modern viewpoint, taking into account linear algebra, shape theory, numerical analysis, random matrix theory, the Hopf fibration, and much more. …”
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Quantum chaos in perturbative super-Yang-Mills Theory by Tristan McLoughlin, Raul Pereira, Anne Spiering

“…We further study the spectral rigidity for these models and show that it is also well described by random matrix theory. Finally we demonstrate that the finite-$N$ eigenvectors possess properties of chaotic states.…”
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Non-ergodic delocalized phase with Poisson level statistics by Weichen Tang, Ivan M. Khaymovich

“…On the above example, we formulate general conditions to a single-particle and random-matrix models in order to carry such states, based on the transparent generalization of the Anderson localization of single-particle states and multiple resonances.…”
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Spectrum of non-Hermitian deep-Hebbian neural networks by Zijian Jiang, Ziming Chen, Tianqi Hou, Haiping Huang

“…The model with non-normal neuron interactions is theoretically studied by deriving a random matrix theory of the Jacobian matrix in neural dynamics. …”
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Gaussian asymptotics of discrete β β -ensembles by Borodin, Alexei, Gorin, Vadim, Guionnet, Alice

“…We introduce and study stochastic N-particle ensembles which are discretizations for general-β log-gases of random matrix theory. The examples include random tilings, families of non-intersecting paths, (z, w) -measures, etc. …”
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Temporal evolution of financial-market correlations by Fenn, D, Porter, M, Williams, S, McDonald, M, Johnson, N, Jones, N

“…We investigate financial market correlations using random matrix theory and principal component analysis. …”

Double-descent curves in neural networks: a new perspective using Gaussian processes by El Harzli, O, Cuenca Grau, B, Valle-Pérez, G, Louis, AA

“…In this paper, we use techniques from random matrix theory to characterize the spectral distribution of the empirical feature covariance matrix as a width-dependent perturbation of the spectrum of the neural network Gaussian process (NNGP) kernel, thus establishing a novel connection between the NNGP literature and the random matrix theory literature in the context of neural networks. …”

Temporal evolution of financial-market correlations. by Fenn, D, Porter, M, Williams, S, McDonald, M, Johnson, N, Jones, N

“…We investigate financial market correlations using random matrix theory and principal component analysis. …”

Multifractality in Quasienergy Space of Coherent States as a Signature of Quantum Chaos by Qian Wang, Marko Robnik

“…The onset of chaos is clearly identified by the phase-space-averaged multifractal dimensions, which are well described by random matrix theory in a strongly chaotic regime. We further investigate the probability distribution of expansion coefficients, and show that the deviation between the numerical results and the prediction of random matrix theory behaves as a reliable detector of quantum chaos.…”
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