An estimation of the logarithmic timescale in an ergodic dynamics

An estimation of the logarithmic timescale in quantum systems having an ergodic dynamics in the semiclassical limit, is presented. The estimation is based on an extension of the Krieger’s finite generator theorem for discretized σ-algebras and using the time rescaling property of the Kolmogorov–Sina...

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Detalles Bibliográficos
Autor principal: Gómez, Ignacio Sebastián
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2018
Materias:
Física
Logarithmic timescale
KS-entropy
Ergodic dynamics
Time rescaling
Krieger’s theorem
Poincaré’s recurrence theorem
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/124690
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-124690
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Logarithmic timescale
KS-entropy
Ergodic dynamics
Time rescaling
Krieger’s theorem
Poincaré’s recurrence theorem
spellingShingle Física
Logarithmic timescale
KS-entropy
Ergodic dynamics
Time rescaling
Krieger’s theorem
Poincaré’s recurrence theorem
Gómez, Ignacio Sebastián
An estimation of the logarithmic timescale in an ergodic dynamics
topic_facet Física
Logarithmic timescale
KS-entropy
Ergodic dynamics
Time rescaling
Krieger’s theorem
Poincaré’s recurrence theorem
description An estimation of the logarithmic timescale in quantum systems having an ergodic dynamics in the semiclassical limit, is presented. The estimation is based on an extension of the Krieger’s finite generator theorem for discretized σ-algebras and using the time rescaling property of the Kolmogorov–Sinai entropy. The results are in agreement with those obtained in the literature but with a simpler mathematics and within the context of the ergodic theory. Moreover, some consequences of the Poincaré’s recurrence theorem are also explored.
format Articulo
Preprint
author Gómez, Ignacio Sebastián
author_facet Gómez, Ignacio Sebastián
author_sort Gómez, Ignacio Sebastián
title An estimation of the logarithmic timescale in an ergodic dynamics
title_short An estimation of the logarithmic timescale in an ergodic dynamics
title_full An estimation of the logarithmic timescale in an ergodic dynamics
title_fullStr An estimation of the logarithmic timescale in an ergodic dynamics
title_full_unstemmed An estimation of the logarithmic timescale in an ergodic dynamics
title_sort estimation of the logarithmic timescale in an ergodic dynamics
publishDate 2018
url http://sedici.unlp.edu.ar/handle/10915/124690
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