Simple and Efficient Algorithm for Improving the MDL Estimator of the Number of Sources by Dayan A. Guimarães, Rausley A. A. de Souza

“…Comparisons are also made with the well-known AIC (Akaike information criterion) estimator and with a recently-proposed estimator based on the random matrix theory (RMT). It is shown that our algorithm can also outperform the AIC and the RMT-based estimator in some situations.…”
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SINGULARITY OF RANDOM SYMMETRIC MATRICES—A COMBINATORIAL APPROACH TO IMPROVED BOUNDS by ASAF FERBER, VISHESH JAIN

“…The proof utilizes and extends a novel combinatorial approach to discrete random matrix theory, which has been recently introduced by the authors together with Luh and Samotij.…”
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Testing the criterion for correct convergence in the complex Langevin method by Keitaro Nagata, Jun Nishimura, Shinji Shimasaki

“…Here we demonstrate the usefulness of this criterion in two solvable theories with many dynamical degrees of freedom, i.e., two-dimensional Yang-Mills theory with a complex coupling constant and the chiral Random Matrix Theory for finite density QCD, which were studied by the CLM before. …”
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The spectra of type IIB flux compactifications at large complex structure by Brodie, C, Marsh, M

“…We contrast these results with the expectations from the much-used continuous flux approximation, and comment on the applicability of Random Matrix Theory to the statistical modelling of the string theory landscape.…”

On optimising personal network size to manage information flow by Lu, Y, Roberts, S, Cheng, T, Dunbar, R, Lió, P, Crowcroft, J

“…We analyse degree distributions from two personal network datasets and seek to characterise PN size variations. Random matrix analysis is used to demonstrate that the specific mixture of PN sizes plays an important role in shaping the pattern of information dissemination in complete social networks. …”

Density of quasiparticle states for a two-dimensional disordered system: Metallic, insulating, and critical behavior in the class D thermal quantum Hall effect by Mildenberger, A, Evers, F, Mirlin, A, Chalker, J

“…Finite size effects lead to superimposed oscillations, as expected from random matrix theory. In the thermal insulator and quantized thermal Hall conductor, we find that $\varrho(E)$ is finite at E=0. …”

Spectra, pseudospectra, and localization for random bidiagonal matrices by Trefethen, L, Contedini, M, Embree, M

“…Here, in addition to eigenvalues, pseudospectra are analyzed, making it possible to treat the non-periodic analogues of these random matrix problems. Inside the bubble, the resolvent norm grows exponentially with the dimension. …”

Estimating the probability that a given vector is in the convex hull of a random sample by Hayakawa, S, Lyons, T, Oberhauser, H

“…Another application is the determination of the canonical convex body included in a random convex polytope given by independent copies of X, where our combinatorial approach allows us to generalize existing results in random matrix community significantly.…”

Nonintersecting Brownian interfaces and Wishart random matrices. by Nadal, C, Majumdar, SN

“…Exploiting this analogy to random matrix, we calculate analytically (i) the average density of states of the interfaces, (ii) the height distribution of the uppermost and lowermost interfaces (extrema), and (iii) the asymptotic (large-N) distribution of the center of mass of the interfaces. …”

Entanglement entropy production in Quantum Neural Networks by Marco Ballarin, Stefano Mangini, Simone Montangero, Chiara Macchiavello, Riccardo Mengoni

“…We certify the randomness of the quantum states also by measuring the expressibility of the circuits, as well as using tools from random matrix theory. We show a universal behavior for the rate at which entanglement is created in any given QNN architecture, and consequently introduce a new measure to characterize the entanglement production in QNNs: the entangling speed. …”
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Video Compressive Sensing Reconstruction Using Unfolded LSTM by Kaiguo Xia, Zhisong Pan, Pengqiang Mao

“…In the measurement part, we train a measurement matrix rather than a pre-prepared random matrix, which fits the video reconstruction task better. …”
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Entanglement measures of bipartite quantum gates and their thermalization under arbitrary interaction strength by Bhargavi Jonnadula, Prabha Mandayam, Karol Życzkowski, Arul Lakshminarayan

“…This quantity shows an exponential saturation to the value predicted by the random matrix theory, indicating “thermalization” in the entanglement properties of sequentially applied quantum gates that can have arbitrarily small, but nonzero, entanglement to begin with. …”
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Spectral Form Factor and Dynamical Localization by Črt Lozej

“…The transport time is obtained from the point when the spectral form factor transitions from the non-universal to the universal regime predicted by random matrix theory. We study the dependence of the transport time on the parameter value and show the level repulsion exponents, which are known to be a good measure of dynamical localization, depend linearly on the transport times obtained in this way.…”
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Sparse Random Hamiltonians Are Quantumly Easy by Chi-Fang Chen, Alexander M. Dalzell, Mario Berta, Fernando G. S. L. Brandão, Joel A. Tropp

“…The main technical argument is based on some new results in nonasymptotic random matrix theory. In particular, a refined concentration bound for the spectral density is required to obtain complexity guarantees for these random Hamiltonians.…”
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A Proposed Quantum Framework for Low-Complexity Quantum Simulation and Spectrum Estimation of Hankel-Patterned Systems by Mostafizur Rahaman Laskar, Amit Kumar Dutta

“…Numerical results are reported adopting random matrix theory in its fold to evaluate the efficacy of the proposed architecture and algorithm for large-dimensional systems, including an example application in delay estimation for ranging operations in a wireless communication system.…”
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Reactivity of complex communities can be more important than stability by Yuguang Yang, Katharine Z. Coyte, Kevin R. Foster, Aming Li

“…Here, we challenge this focus, showing that short-term dynamics can be a better predictor of outcomes for complex ecosystems. Using random matrix theory, we study how complex ecosystems behave immediately after small perturbations. …”
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Gaussian determinantal processes: A new model for directionality in data by Ghosh, Subhroshekhar, Rigollet, Philippe

“…These theoretical investigations unveil intriguing questions for further examination in random matrix theory, stochastic geometry, and related topics.…”
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Beta-ensembles with covariance by Dubbs, Alexander

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Random matrices, boundaries and branes by Niedner, B

“…<p>This thesis is devoted to the application of random matrix theory to the study of random surfaces, both discrete and continuous; special emphasis is placed on surface boundaries and the associated boundary conditions in this formalism. …”

Continuous hidden Markov models and the sequential probability ratio test by Darwin, O

“…We show relationships between the execution time of such an algorithm and Lyapunov exponents of random matrix products. Further, we give complexity results about the execution time taken by the Sequential Probability Ratio Test.…”