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
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/124690
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Sumario: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.