Growth Quakes and Stasis Using Iterations of Inflating Complex Random Matrices by Henri Benisty

“…I extend to the case of complex matrices, rather than the case of real matrices as in a prior study, a method of iterating the operation of an “inflating random matrix” onto a state vector to describe complex growing systems. …”
Get full text

Spectral form factor of a quantum spin glass by Michael Winer, Richard Barney, Christopher L. Baldwin, Victor Galitski, Brian Swingle

“…Abstract It is widely expected that systems which fully thermalize are chaotic in the sense of exhibiting random-matrix statistics of their energy level spacings, whereas integrable systems exhibit Poissonian statistics. …”
Get full text

Higher spin JT gravity and a matrix model dual by Jorrit Kruthoff

“…The cylinder contribution to the spectral form factor then behaves as T N−1 at late times T, signaling a deviation from conventional random matrix theory. To account for this deviation, we propose that the bulk theory is dual to a matrix model consisting of N − 1 commuting matrices associated to the N − 1 conserved higher spin charges. …”
Get full text

Worldwide bilateral geopolitical interactions network inferred from national disciplinary profiles by M. G. Izzo, C. Daraio, L. Leuzzi, G. Quaglia, G. Ruocco

“…The contrast with random matrix theory proves that, beyond measurement noise, the empirical cross-correlation matrices bring genuine information. …”
Get full text

Energy-Efficient Multicast Precoding for Massive MIMO Transmission with Statistical CSI by Li You, Wenjin Wang, Xiqi Gao

“…In addition, we use the large-dimensional random matrix theory to derive the deterministic equivalent of the objective to reduce the computational complexity involved in sample averaging. …”
Get full text

Source enumeration via RMT estimator with adaptive decision criterion based on linear shrinkage estimation of noise eigenvalues using relatively few samples by Huiyue Yi

“…Abstract Estimating the number of signals embedded in noise is a fundamental problem in array signal processing. The classic random matrix theory (RMT) estimator based on RMT does not consider the bias term of the expectation of the eigenvalue being tested, and thus, its detection performance will be affected by this bias term, and it also suffers from noise uncertainty in its decision threshold. …”
Get full text

Enhancing non-melonic triangulations: A tensor model mixing melonic and planar maps by Valentin Bonzom, Thibault Delepouve, Vincent Rivasseau

“…They are matched with random matrix models which contain multi-trace invariants in their potentials: they possess a branched polymer phase and a 2D quantum gravity phase, and a transition between them whose entropy exponent is positive. …”
Get full text

Multiple-Image Reconstruction of a Fast Periodic Moving/State-Changed Object Based on Compressive Ghost Imaging by Hui Guo, Yuxiang Chen, Shengmei Zhao

“…Each group with <i>N</i> random speckle patterns is programmed as one row of a random matrix, and each row of the matrix element corresponds to one measurement of the slow bucket detector. …”
Get full text

Many-body spectral statistics of relativistic quantum billiard systems by Xianzhang Chen, Zhen-Qi Chen, Liang Huang, Celso Grebogi, Ying-Cheng Lai

“…Regardless of the type of spectral statistics to begin with, increasing the Hubbard interaction strength up to a critical value causes the statistics to approach GOE, rendering more applicable the random matrix theory. As the interaction strength increases beyond the critical value, the statistics evolve toward Poisson, due to the emergence of an energy gap rendering the quasiparticles massive. …”
Get full text

Lyapunov spectra of chaotic recurrent neural networks by Rainer Engelken, Fred Wolf, L. F. Abbott

“…We analytically approximate the full Lyapunov spectrum using random matrix theory near the onset of chaos for strong coupling and discrete-time dynamics. …”
Get full text

Two dimensional kicked quantum Ising model: dynamical phase transitions by C Pineda, T Prosen, E Villaseñor

“…Even more surprisingly, we found good agreement of level spacing distribution with the Wigner surmise of random matrix theory for almost all values of parameters except where the model is essentially non-interacting, even in regions where local observables are not ergodic or where spectral density is non-flat. …”
Get full text

From operator statistics to wormholes by Alexander Altland, Dmitry Bagrets, Pranjal Nayak, Julian Sonner, Manuel Vielma

“…For a generic quantum many-body system, the quantum ergodic regime is defined as the limit in which the spectrum of the system resembles that of a random matrix theory (RMT) in the corresponding symmetry class. …”
Get full text

FiMAP: A fast identity-by-descent mapping test for biobank-scale cohorts. by Han Chen, Ardalan Naseri, Degui Zhi

“…We used sparse linear algebra and random matrix algorithms to speed up the computation, and a genome-wide IBD mapping scan of more than 400,000 samples finished within a few hours. …”
Get full text

On the number of Hadamard matrices via anti-concentration by Ferber, Asaf, Jain, Vishesh, Zhao, Yufei

“…We present two applications of our inequalities to combinatorial (random) matrix theory: (i) we obtain the first non-trivial upper bound on the number of n×n Hadamard matrices and (ii) we improve a recent bound of Deneanu and Vu on the probability of normality of a random {±1} matrix.…”
Get full text

Hyperelliptic Curves, L-Polynomials, and Random Matrices by Kedlaya, Kiran S., Sutherland, Andrew Victor

“…In the generic case, we find experimental agreement with a predicted correspondence (based on the Katz-Sarnak random matrix model) between the distributions of Lp(T) and of characteristic polynomials of random matrices in the compact Lie group USp(2g). …”
Get full text

Weighted Statistic in Detecting Faint and Sparse Alternatives for High-Dimensional Covariance Matrices by Yang, Qing, Pan, Guangming

“…Its asymptotic null distribution is derived by large random matrix theory without assuming the existence of a limiting cumulative distribution function of the population covariance matrix. …”
Get full text
Get full text

Local pairing of Feynman histories in many-body Floquet models by Garratt, SJ, Chalker, JT

“…We focus on the behavior of the spectral form factor (SFF) and of matrix elements of local operators, averaged over an ensemble of random circuits, making comparisons with the predictions of random matrix theory (RMT) and the eigenstate thermalization hypothesis (ETH). …”

Equidistribution of high traces of random matrices over finite fields and cancellation in character sums of high conductor by Gorodetsky, O, Kovaleva, V

“…<p>Let&nbsp;g&nbsp;be a random matrix distributed according to uniform probability measure on the finite general linear group&nbsp;GLn⁢(Fq). …”

A Data-Driven Optimization Method Considering Data Correlations for Optimal Power Flow Under Uncertainty by Ren Hu, Qifeng Li

“…DPP considers the correlations between samples to find a small set of significant samples by measuring the relative weight of each sample using the random matrix theory, significantly decreasing the data samples required by the existing SS. …”
Get full text

Research on future parallel power grid architecture by Sun Fei, Fan Yeping

“…The detailed changes of the resource system are described through multi-layer nodes, and the random matrix is used to systematically analyse the operation data of the parallel power grid in the future so as to obtain the architecture mode with the highest adaptability when the actual space and virtual space are associated. …”
Get full text