Results 31 to 40 of about 1,526,545 (357)

Random-matrix theory for the Lindblad master equation.

open access: yesChaos, 2021
Open quantum systems with Markovian dynamics can be described by the Lindblad equation. The quantity governing the dynamics is the Lindblad superoperator. We apply random-matrix theory to this superoperator to elucidate its spectral properties.
Stefan Lange, C. Timm
semanticscholar   +1 more source

A random matrix theory of decoherence [PDF]

open access: yesNew Journal of Physics, 2008
Random matrix theory is used to represent generic loss of coherence of a fixed central system coupled to a quantum-chaotic environment, represented by a random matrix ensemble, via random interactions. We study the average density matrix arising from the ensemble induced, in contrast to previous studies where the average values of purity, concurrence ...
Carlos Pineda   +4 more
openaire   +3 more sources

Prediction of Solar Ultraviolet Radiations Using Random Matrix Theory

open access: yesFrontiers in Biomedical Technologies, 2023
Purpose: The correlation of different samples can be described by analytical models such as random matrix theory. In this study, we tried to describe the correlation of different types of ultraviolet values in different months, weeks, and hours to get a
Reza Malekzadeh   +3 more
doaj   +1 more source

Recent progress in combinatorial random matrix theory [PDF]

open access: yes, 2020
We discuss recent progress many problems in random matrix theory of a combinatorial nature, including several breakthroughs that solve long standing famous conjectures.
V. Vu
semanticscholar   +1 more source

Universal objects of the infinite beta random matrix theory [PDF]

open access: yesJournal of the European Mathematical Society (Print), 2020
We develop a theory of multilevel distributions of eigenvalues which complements the Dyson's threefold $\beta=1,2,4$ approach corresponding to real/complex/quaternion matrices by $\beta=\infty$ point. Our central objects are G$\infty$E ensemble, which is
V. Gorin, V. Kleptsyn
semanticscholar   +1 more source

Analysis of the Global Banking Network by Random Matrix Theory

open access: yesFrontiers in Physics, 2021
Since the financial crisis of 2008, the network analysis of financial systems has attracted a lot of attention. In this paper, we analyze the global banking network via the method of Random Matrix Theory. By applying that method on a cross border lending
Ali Namaki   +11 more
doaj   +1 more source

Random Matrix Theory Predictions of Dominant Mode Rejection Beamformer Performance

open access: yesIEEE Open Journal of Signal Processing, 2022
Adaptive beamformers use a sensor covariance matrix estimated from data snapshots to mitigate directional interference and attenuate uncorrelated noise.
Christopher Hulbert, Kathleen Wage
doaj   +1 more source

Nonlinear Perturbation of Random Matrix Theory

open access: yesPhysical Review Letters, 2023
21=5+16 pages, 5 figures + 16 SupMat figures, additional figures/data available at: https://www.quantware.ups-tlse.fr/QWLIB/nonlinrmt/index.html additional material in SupMat (new figure panels with new parameters and new SupMat sections)
Frahm, Klaus, Shepelyansky, Dima
openaire   +3 more sources

Beyond universality in random matrix theory [PDF]

open access: yesThe Annals of Applied Probability, 2016
In order to have a better understanding of finite random matrices with non-Gaussian entries, we study the $1/N$ expansion of local eigenvalue statistics in both the bulk and at the hard edge of the spectrum of random matrices. This gives valuable information about the smallest singular value not seen in universality laws.
Edelman, A, Guionnet, Alice, Péché, S
openaire   +6 more sources

Practical challenges in data‐driven interpolation: Dealing with noise, enforcing stability, and computing realizations

open access: yesInternational Journal of Adaptive Control and Signal Processing, EarlyView., 2023
Summary In this contribution, we propose a detailed study of interpolation‐based data‐driven methods that are of relevance in the model reduction and also in the systems and control communities. The data are given by samples of the transfer function of the underlying (unknown) model, that is, we analyze frequency‐response data.
Quirin Aumann, Ion Victor Gosea
wiley   +1 more source

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