Results 91 to 100 of about 5,030,646 (292)

Negativity witness for the quantum ergodic conjecture

open access: yes, 2014
For an ergodic system, the time average of a classical observable coincides with that obtained via the Liouville probability density, a delta-function on the energy shell.
de Almeida, Alfredo M. Ozorio
core   +1 more source

A Note on the Birkhoff Ergodic Theorem [PDF]

open access: yes, 2017
The classical Birkhoff ergodic theorem states that for an ergodic Markov process the limiting behaviour of the time average of a function (having finite p-th moment, $$p\ge 1$$p≥1, with respect to the invariant measure) along the trajectories of the ...
Nikola Sandrić
semanticscholar   +1 more source

Time‐resolved XPCS analysis across broad time‐scales using multi‐tau two‐time correlations

open access: yesJournal of Synchrotron Radiation, EarlyView.
A scalable multi‐tau two‐time correlation framework enables efficient, time‐resolved XPCS analysis of long duration high‐frame‐rate modern synchrotron data while preserving sensitivity to non‐stationary dynamics.We present a multi‐tau two‐time correlation (MT‐2TC) analysis for X‐ray photon correlation spectroscopy that enables efficient analysis of ...
Fabio Brugnara   +13 more
wiley   +1 more source

Bergelson's Theorem for weakly mixing C*-dynamical systems

open access: yes, 2006
We study a nonconventional ergodic average for asymptotically abelian weakly mixing C*-dynamical systems, related to a second iteration of Khintchine's recurrence theorem obtained by Bergelson in the measure theoretic case.
Duvenhage, Rocco
core   +1 more source

Ergodic averages with deterministic weights [PDF]

open access: yesAnnales de l'Institut Fourier, 2002
We study the convergence of the ergodic averages 1 N∑ k=0 N-1 θ(k)f∘T u k where (θ(k)) k∈ℕ is a bounded sequence and (u k ) k∈ℕ a strictly increasing sequence of integers such that Sup α∈ℝ |∑ k=0 N-1 θ(k) exp (2iπαu k )|=O(N δ ) for some δ<1. Moreover we give explicit such sequences θ and u and we investigate in particular the case where θ is ...
Durand, Fabien, Schneider, Dominique
openaire   +4 more sources

The importance of considering regimes in long‐term asset allocation to real estate

open access: yesReal Estate Economics, EarlyView.
Abstract We investigate the long‐term, regime‐dependent asset allocation of an investor's wealth in a mixed‐asset portfolio that includes publicly traded real estate. We show that augmenting standard VAR models with Markov‐switching features not only improves predictive power for asset returns but also introduces economically meaningful horizon effects
Massimo Guidolin   +2 more
wiley   +1 more source

Ergodic averaging with and without invariant measures [PDF]

open access: yes, 2017
The classical Birkhoff ergodic theorem in its most popular version says that the time average along a single typical trajectory of a dynamical system is equal to the space average with respect to the ergodic invariant distribution.
M. Blank
semanticscholar   +1 more source

Enhancing generalizability theory with mixed‐effects models for heteroscedasticity in psychological measurement: A theoretical introduction with an application from EEG data

open access: yesBritish Journal of Mathematical and Statistical Psychology, EarlyView.
Abstract Generalizability theory (G‐theory) defines a statistical framework for assessing measurement reliability by decomposing observed variance into meaningful components attributable to persons, facets, and error. Classic G‐theory assumes homoscedastic residual variances across measurement conditions, an assumption that is often violated in ...
Philippe Rast, Peter E. Clayson
wiley   +1 more source

R.E. Bruck, proof mining and a rate of asymptotic regularity for ergodic averages in Banach spaces [PDF]

open access: bronze, 2022
Anton Freund   +59 more
openalex   +3 more sources

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