Results 71 to 80 of about 3,383,288 (169)

Quantum signatures of chaos from free probability

open access: yesJournal of High Energy Physics
A classical dynamical system can be viewed as a probability space equipped with a measure-preserving time evolution map, admitting a purely algebraic formulation in terms of the algebra of bounded functions on the phase space.
Hugo A. Camargo   +4 more
doaj   +1 more source

Wavelet‐Based Hurst Exponent Estimation

open access: yesWIREs Computational Statistics, Volume 18, Issue 3, September 2026.
The review explores how wavelet‐based methods for estimating the Hurst parameters have developed from their theoretical roots to real‐world applications in fields like biology, engineering, and telecommunications. The review aims to highlight key techniques, compare their strengths and limitations, and point out challenges that still need to be ...
Dixon Vimalajeewa   +2 more
wiley   +1 more source

Adaptive Estimation for Weakly Dependent Functional Times Series

open access: yesJournal of Time Series Analysis, Volume 47, Issue 5, Page 1013-1027, September 2026.
ABSTRACT We propose adaptive mean and autocovariance function estimators for stationary functional time series under 𝕃p−m‐approximability assumptions. These estimators are designed to adapt to the regularity of the curves and to accommodate both sparse and dense data designs.
Hassan Maissoro   +2 more
wiley   +1 more source

Joint cumulants for natural independence [PDF]

open access: yes, 2011
Many kinds of independence have been defined in non-commutative probability theory. Natural independence is an important class of independence; this class consists of five independences (tensor, free, Boolean, monotone and anti-monotone ones).
Hasebe, Takahiro, Saigo, Hayato
core   +1 more source

Properties of tensorial free cumulants

open access: yes
In the past two years, several points of view have been proposed to address the question of the generalization of the theory of free probability to random tensors with different invariances, and it is unclear at this point whether they lead to the same notions of tensorial free cumulants and freeness.
Buc-d'Alché, Thomas, Lionni, Luca
openaire   +3 more sources

Free cumulants and freeness for unitarily invariant random tensors

open access: yes
International audienceWe address the question of the asymptotic description of random tensors that are local-unitary invariant, that is, invariant by conjugation by tensor products of independent unitary matrices.
Collins, Benoit   +2 more
core   +5 more sources

Free Probability in a Minimal Quantum Circuit Model

open access: yesPhysical Review X
Recent experimental and theoretical developments in many-body quantum systems motivate the study of their out-of-equilibrium properties through multitime correlation functions. We consider the dynamics of higher-order out-of-time-order correlators (OTOCs)
Felix Fritzsch, Pieter W. Claeys
doaj   +1 more source

Va-Deformed Free Convolution

open access: yesMathematics
In this article, we study Va-transformation of a measure and of a convolution (denoted by a) defined for a∈R. We provide significant insights into the stability of the free Meixner family of probability measures under Va-transformation.
Fahad Alsharari, Raouf Fakhfakh
doaj   +1 more source

A hydrodynamic theory for non-equilibrium full counting statistics in one-dimensional quantum systems

open access: yesSciPost Physics
We study the dynamics of charge fluctuations after homogeneous quantum quenches in one-dimensional systems with ballistic transport. For short but macroscopic times where the non-trivial dynamics is largely dominated by long-range correlations, a simple ...
Dávid X. Horváth, Benjamin Doyon, Paola Ruggiero
doaj   +1 more source

A Survey of Density Estimation for SAR Images [PDF]

open access: yes, 2012
Modeling of synthetic aperture radar (SAR) images has been an important topic of research since the inception of SAR satellites. Many theoretical and empirical models have been presented in literature to accurately model the amplitude SAR images. The
Cui, Shiyong   +4 more
core   +1 more source

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