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Random Matrix Time Series
In this paper, a time series model is proposed, where the coefficients take values from random matrix ensembles. Formal definitions, theoretical...
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Random matrix theory for robust topology optimization with material uncertainty
This paper presents an efficient computational method for optimal structural design in the presence of uncertain Young’s modulus modeled using...
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Test Set Sizing via Random Matrix Theory
This paper uses techniques from Random Matrix Theory to find the ideal training-testing data split for a simple linear regression with m data points,...
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JT Gravity, Random Matrix Theoryand Third-Order Phase Transition
AbstractThe partition functions of Jackiw–Teitelboim (JT) gravity corresponds to random matrix integral. And we can define three different versions...
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A new Shamir’s three pass random matrix ciphering mechanism
A new Shamir’s three pass random matrix ciphering mechanism. This new random matrix ciphering mechanism uses a three-pass protocol with encryption...
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Spreading Widths of Giant Monopole Resonance in the Lead Region: Random Matrix Approach
The microscopic calculation of the decay width of giant monopole resonance (GMR) anticipates the mixing of one-phonon states with configurations of...
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Random Matrix Impurity Model
The previous chapter was devoted to the full many-body description of correlations in a disordered host surrounding an impurity. The correlation...
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Modified Matrix Decomposition Method for Generating Multivariate Three-Dimensional Cross-Correlated Random Fields
It is essential to generate multivariate three-dimensional cross-correlated random fields since the spatial variability of geomaterials has a great...
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Krylov complexity and spectral form factor for noisy random matrix models
We study the spectral properties of two classes of random matrix models: non-Gaussian RMT with quartic and sextic potentials, and RMT with Gaussian...
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Random-Matrix Models of Monitored Quantum Circuits
We study the competition between Haar-random unitary dynamics and measurements for unstructured systems of qubits. For projective measurements, we...
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A structural approach to detecting opinion leaders in Twitter by random matrix theory
This paper presents a novel approach leveraging Random Matrix Theory (RMT) to identify influential users and uncover the underlying dynamics within...
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Robust Adaptive Beamforming Based on Covariance Matrix Reconstruction with Gaussian Random Dimensionality Reduction
The performance of adaptive beamforming will deteriorate severely under small sample support, especially when the number of snapshots is smaller than...
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Matrix-Variate Hidden Markov Regression Models: Fixed and Random Covariates
Two families of matrix-variate hidden Markov regression models (MV-HMRMs) are here introduced. The distinction between them relies on the role of the...
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Detection, differentiation and localization of replay attack and false data injection attack based on random matrix
Replay attack and false data injection attack (FDIA) are two common types of cyber-attacks against supervisory control and data acquisition systems,...
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On Random Multitraces Matrix Models
A random multitrace matrix model can provide us with a new vision to geometry emergence. Furthermore, it yields a new model of quantum gravity in two...
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Fluctuation Moments Induced by Conjugation with Asymptotically Liberating Random Matrix Ensembles
Independent Haar-unitary random matrices and independent Haar-orthogonal random matrices are known to be asymptotically liberating ensembles, and...
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Application of random matrix theory combined with the singular value decomposition to journal bearings uncertainty analysis
This paper proposes a methodology to take into account uncertainties in non-symmetric operators (matrices). It consists in randomly perturbing a...
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Pseudo-Hermitian Random Matrices
This book is a comprehensive guide to pseudo-Hermitian random matrices, their properties, and their role in many models that are relevant to physical...