Results 21 to 30 of about 167,620 (262)
Random antagonistic matrices [PDF]
The ensemble of antagonistic matrices is introduced and studied. In antagonistic matrices the entries $\mathcal A_{i,j}$ and $\mathcal A_{j,i}$ are real and have opposite signs, or are both zero, and the diagonal is zero. This generalization of antisymmetric matrices is suggested by the linearized dynamics of competitive species in ecology.
G. M. Cicuta, L.G. Molinari
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Exploring Transition from Stability to Chaos through Random Matrices
This study explores the application of random matrices to track chaotic dynamics within the Chirikov standard map. Our findings highlight the potential of matrices exhibiting Wishart-like characteristics, combined with statistical insights from their ...
Roberto da Silva, Sandra Denise Prado
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Random bistochastic matrices [PDF]
22 pages, 4 ...
Cappellini, Valerio +3 more
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Chaos, complexity, and random matrices
Chaos and complexity entail an entropic and computational obstruction to describing a system, and thus are intrinsically difficult to characterize. In this paper, we consider time evolution by Gaussian Unitary Ensemble (GUE) Hamiltonians and analytically
Jordan Cotler +3 more
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Randomized Simplicial Hessian Update
Recently, a derivative-free optimization algorithm was proposed that utilizes a minimum Frobenius norm (MFN) Hessian update for estimating the second derivative information, which in turn is used for accelerating the search.
Árpád Bűrmen +2 more
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Hearing random matrices and random waves
The eigenangles of random matrices in the three standard circular ensembles are rendered as sounds in several different ways. The different fluctuation properties of these ensembles can be heard, and distinguished from the two extreme cases, of angles ...
M V Berry, Pragya Shukla
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Black holes and random matrices
We argue that the late time behavior of horizon fluctuations in large anti-de Sitter (AdS) black holes is governed by the random matrix dynamics characteristic of quantum chaotic systems.
Jordan S. Cotler +8 more
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Relating Entropies of Quantum Channels
In this work, we study two different approaches to defining the entropy of a quantum channel. One of these is based on the von Neumann entropy of the corresponding Choi–Jamiołkowski state.
Dariusz Kurzyk +2 more
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Introduction to random matrices [PDF]
44 ...
Tracy, Craig A., Widom, Harold
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Generalized Ensemble of Random Matrices [PDF]
9 ...
Moshe, Moshe +2 more
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