Pseudo-hermitian random matrix models: General formalism by Joshua Feinberg, Roman Riser

“…As such, they can be used, in the usual spirit of random matrix theory, to model chaotic or disordered PT-symmetric quantum systems, or their gain-loss-balanced classical analogs, in the phase of broken PT-symmetry. …”
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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. …”
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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. …”
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Energy-Efficient Resource Allocation for Massive MIMO Amplify-and-Forward Relay Systems by Hui Gao, Tiejun Lv, Xin Su, Hong Yang, John M. Cioffi

“…The system energy efficiency (EE) is theoretically analyzed by employing large system analysis and random matrix theory. This analytical result provides excellent approximation for the system with a moderate number of antennas, and it also enables several efficient algorithms, working with a different knowledge of channel state information (CSI), to maximize the system EE by scheduling the optimal numbers of relay antennas and UE pairs as well as the corresponding relay transmission power. …”
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Stochastic Airy semigroup through tridiagonal matrices by Gorin, Vadim, Shkolnikov, Mykhaylo

“…The result provides a novel expression in terms of functionals of Brownian motions for the Laplace transform of the Airy β process, which describes the largest eigenvalues in the β ensembles of random matrix theory. Another consequence is a Feynman-Kac formula for the stochastic Airy operator of Edelman-Sutton and Ramirez-Rider-Virag. …”
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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.…”
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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. …”
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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). …”

Differential Training Tasks Trigger the Decrease of Concatenation between Cardiovascular Parameters by Deivydas Velička, Gilija Bernotienė, Kristina Poderienė, Alfonsas Vainoras, Jonas Poderys

“…The changeable parametric interactions and its dynamics during exercise tasks while monitoring ECG parameters and its data sequences analysis based on mathematical method based on matrix theory were applied, the concatenation between ECG parameters were analysed. …”
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Speeding Up Velocity Consensus Control with Small World Communication Topology for Unmanned Aerial Vehicle Swarms by Xiang Ji, Wanpeng Zhang, Shaofei Chen, Junren Luo, Lina Lu, Weilin Yuan, Zhenzhen Hu, Jing Chen

“…Our analytical framework was based on tools using matrix theory and algebraic graph theory. We established connections between algebraic connectivity and the speed of converging on a velocity. …”
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Linearly Tunable Fano Resonance Modes in a Plasmonic Nanostructure with a Waveguide Loaded with Two Rectangular Cavities Coupled by a Circular Cavity by Qiong Wang, Zhengbiao Ouyang, Yiling Sun, Mi Lin, Qiang Liu

“…In this paper, a kind of plasmonic nanostructure with a waveguide loaded with two rectangular cavities coupled by a circular cavity is proposed to produce four Fano resonance modes. The transfer matrix theory is employed to analyze the coupled-waveguide-cavity system. …”
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Interaction Mechanism for Multiple Active Power Filters in DC Distribution Networks by WANG Hao, HUANG Wentao, TAI Nengling, YU Moduo, SUN Guoliang

“…This paper establishes a Norton equivalent grid-connected model of multiple filters and proposes a method for analyzing the interaction mechanism of multiple filters based on the relative gain matrix theory. This method establishes the matrix relationship between the change in the output current of the filter and the change in the harmonic source current and analyzes the influence of the grid parameters and controller parameters in the multi-filter grid-connected system on the filtering effect of the filter, and proposes a reasonable parameter selection method. …”
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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. …”
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Super-Resolution Community Detection for Layer-Aggregated Multilayer Networks by Dane Taylor, Rajmonda S. Caceres, Peter J. Mucha

“…Focusing on the problem of detecting small communities in multilayer networks, we study the effects of layer aggregation by developing random-matrix theory for modularity matrices associated with layer-aggregated networks with N nodes and L layers, which are drawn from an ensemble of Erdős–Rényi networks with communities planted in subsets of layers. …”
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Echoes of chaos from string theory black holes by Vijay Balasubramanian, Ben Craps, Bartlomiej Czech, Gábor Sárosi

“…To find a prescription for temporal coarse-graining of these late fluctuations we appeal to random matrix theory, where we show that a progressive time-average smooths the spectral form factor (a proxy for the 2-point function) in a typical draw of a random matrix. …”
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AdS3/RMT2 duality by Gabriele Di Ubaldo, Eric Perlmutter

“…The Cotler-Jensen wormhole of AdS3 pure gravity is shown to be extremal among wormhole amplitudes: it is the minimal completion of the random matrix theory correlator compatible with Virasoro symmetry and SL(2, ℤ)-invariance. …”
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Unreliable communication in high-performance distributed multi-agent systems: A ingenious scheme in high computing by Ali Mustafa, Muhammad Najam ul Islam, Salman Ahmed, Muhammad Ahsan Tufail

“…The proposed algorithm paces up the rate of convergence by reducing the number of iteration, along with sure convergence of the designed algorithm using the concepts of stochastic differential equation theory, control system theory, algebraic graph theory, and algebraic matrix theory. Finally, in the end, simulation results are provided which are clear evidence to validate the effectiveness of theoretical results of the proposed algorithm in comparison to previously known consensus algorithms in terms of different performance parameters.…”
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The free vibration characteristics of isotropic coupled conical-cylindrical shells based on the precise integration transfer matrix method by Pang Fuzhen, Wu Chuang, Song Hongbao, Li Haichao

“…Based on the transfer matrix theory and precise integration method, the precise integration transfer matrix method (PITMM) is implemented to investigate the free vibration characteristics of isotropic coupled conicalcylindrical shells. …”
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Memorizing without overfitting: Bias, variance, and interpolation in overparameterized models by Jason W. Rocks, Pankaj Mehta

“…We synthesize these results to construct a holistic understanding of generalization error and the bias-variance trade-off in overparameterized models and relate our results to random matrix theory.…”
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Secure Performance Analysis for Multi-Pair AF Relaying Massive MIMO Systems in Ricean Channels by Xianyu Zhang, Daoxing Guo, Kefeng Guo

“…With the imperfect estimated channel state information, maximum ratio combining (MRC)/maximal ratio transmission (MRT) are employed for AF relaying. Based on random matrix theory, we first derive tractable analytical expressions of the end-to-end signal-to-interferenceplus-noise ratios (SINRs) at the intended user and Eve, respectively. …”
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