Results 21 to 30 of about 182,487 (307)
Stochastic differential equations for random matrices processes in the nonlinear framework [PDF]
In this paper, we investigate the processes of eigenvalues and eigenvectors of a symmetric matrix valued process \(X_{t}\), where \(X_{t}\) is the solution of a general SDE driven by a \(G\)-Brownian motion matrix.
Sara Stihi +2 more
doaj +1 more source
Tridiagonalizing random matrices
The Hungarian physicist Eugene Wigner introduced random matrix models in physics to describe the energy spectra of atomic nuclei. As such, the main goal of random matrix theory (RMT) has been to derive the eigenvalue statistics of matrices drawn from a given distribution.
Vijay Balasubramanian +2 more
openaire +2 more sources
Spectra of random matrices [PDF]
The recent interest of the scientific community about the properties of networks is based on the possibility to study complex real world systems by renouncing the exact knowledge of the nature of system itself.
Martina, Silvia
core
Fast and efficient compressive sensing using structurally random matrices [PDF]
This is the author's accepted manuscript. The final published article is available from the link below. Copyright @ 2011 IEEE. Personal use of this material is permitted.
Trac D. Tran +7 more
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Random bistochastic matrices [PDF]
22 pages, 4 ...
Cappellini, Valerio +3 more
openaire +3 more sources
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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Introduction to random matrices [PDF]
44 ...
Tracy, Craig A., Widom, Harold
openaire +4 more sources
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source

