Results 61 to 70 of about 8,436,612 (364)

Eigenstate Thermalization, Random Matrix Theory, and Behemoths. [PDF]

open access: yesPhysical Review Letters, 2018
The eigenstate thermalization hypothesis (ETH) is one of the cornerstones of contemporary quantum statistical mechanics. The extent to which ETH holds for nonlocal operators is an open question that we partially address in this Letter.
Ivan M Khaymovich, M. Haque, P. McClarty
semanticscholar   +1 more source

On the moments of the characteristic polynomial of a Ginibre random matrix [PDF]

open access: yesProceedings of the London Mathematical Society, 2017
In this article, we study the large N asymptotics of complex moments of the absolute value of the characteristic polynomial of an N×N complex Ginibre random matrix with the characteristic polynomial evaluated at a point in the unit disk.
Christian Webb, M. Wong
semanticscholar   +1 more source

Random block matrices and matrix orthogonal polynomials [PDF]

open access: yes, 2008
In this paper we consider random block matrices, which generalize the general beta ensembles, which were recently investigated by Dumitriu and Edelmann (2002, 2005).
Holger Dette   +2 more
core   +2 more sources

Quaternions, números complexos e os ensembles de matrizes aleatórias

open access: yesRevista Brasileira de Ensino de Física
Neste trabalho dois ensembles de matrizes aleatórias são construídos com detalhes refinados. São eles: o Ensemble Gaussiano Unitário cujos elementos das matrizes são números complexos e o Ensemble Gaussiano Simplético, cujos elementos das matrizes são ...
A.C Bertuola
doaj   +1 more source

Recursive Noise Adaptive Extended Object Tracking by Variational Bayesian Approximation

open access: yesIEEE Access, 2019
This paper proposes an adaptive extended object tracking algorithm with unknown time-varying sensor error covariance in linear state-space models. The proposed algorithm employs Inverse Wishart distribution to describe the full covariance.
Zhifei Li   +3 more
doaj   +1 more source

Reactive Power Optimization of Distribution Network Based on Random Matrix and Historical Scenario Matching

open access: yesZhongguo dianli, 2020
Reactive power optimization and voltage management of distribution networks is very important for the optimal operation of distribution networks. By introducing big data theory into reactive power optimization of distribution networks, a reactive power ...
Ran AN   +6 more
doaj   +1 more source

Random Matrix Theory Approach to Chaotic Coherent Perfect Absorbers. [PDF]

open access: yesPhysical Review Letters, 2017
We employ random matrix theory in order to investigate coherent perfect absorption (CPA) in lossy systems with complex internal dynamics. The loss strength γ_{CPA} and energy E_{CPA}, for which a CPA occurs, are expressed in terms of the eigenmodes of ...
Huanan Li   +4 more
semanticscholar   +1 more source

Random Perturbations of Matrix Polynomials [PDF]

open access: yesJournal of Theoretical Probability, 2020
AbstractA sum of a large-dimensional random matrix polynomial and a fixed low-rank matrix polynomial is considered. The main assumption is that the resolvent of the random polynomial converges to some deterministic limit. A formula for the limit of the resolvent of the sum is derived, and the eigenvalues are localised.
Patryk Pagacz, Michał Wojtylak
openaire   +3 more sources

On the spectrum of noisy blown-up matrices

open access: yesSpecial Matrices, 2020
We study the eigenvalues of large perturbed matrices. We consider a pattern matrix P, we blow it up to get a large block-matrix Bn. We can observe only a noisy version of matrix Bn. So we add a random noise Wn to obtain the perturbed matrix An = Bn + Wn.
Fazekas István, Pecsora Sándor
doaj   +1 more source

Randomized Matrix Computations

open access: yes, 2012
58 ...
Pan, Victor Y.   +2 more
openaire   +2 more sources

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