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Is ergodicity in an oxide glass ionic conductor a matter of time?
(Elsevier Science, 2015-03)
From the results of molecular dynamic simulations of lithium metasilicate glass - at temperatures above and below their transition temperature (Tg ) - we propose a simple graphical representation to search for the broken ...
Large deviations for multiple ergodic averages
(Taylor & Francis, 2018-01)
The main purpose of this work is to estimate how multiple ergodic averages appart from a given quantity. This problem can be studied by describing a large deviation process for empirical measures as obtained by using the ...
Ergodic-nonergodic transition in tapped granular systems: The role of persistent contacts
(Instituto de Física de Líquidos y Sistemas Biológicos, 2016-01)
Static granular packs have been studied in the last three decades in the frame of a modified equilibrium statistical mechanics that assumes ergodicity as a basic postulate. The canonical example on which this framework is ...
About the concept of quantum chaos
(Molecular Diversity Preservation International, 2017-05)
The research on quantum chaos finds its roots in the study of the spectrum of complex nuclei in the 1950s and the pioneering experiments in microwave billiards in the 1970s. Since then, a large number of new results was ...
Detailed structure of configuration space and its importance on ergodic separation of ±J Ising lattices
(Elsevier Science, 2002-07-15)
A complete and exact characterization of the configuration space of 2-D ±J Ising lattices is performed. A new algorithm is introduced here representing advantages for reaching all states for small samples and doing a ...
Multiparameter ergodic Cesàro-α averages
(Polish Academy of Sciences. Institute of Mathematics, 2015-03)
Let (X,F,ν) be a σ-finite measure space. Associated with k Lamperti operators on Lp(ν), T1,…,Tk, nˉ=(n1,…,nk)∈Nk and αˉ=(α1,…,αk) with 0<αj≤1, we define the ergodic Cesàro-αˉ averages
Rnˉ,αˉf=1∏kj=1Aαjnj∑ik=0nk⋯∑i1=0n1∏ ...
On the Characterization of l(p)-Compressible Ergodic Sequences
(IEEE-INST Electrical Electronics Engineers, 2015)
This work offers a necessary and sufficient condition for a stationary and ergodic process to be l(p)-compressible in the sense proposed by Amini, Unser and Marvasti ["Compressibility of deterministic and random infinity ...