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Recurrence theorems: A unified account

Journal Article · · Journal of Mathematical Physics
DOI:https://doi.org/10.1063/1.4907384· OSTI ID:22403097
 [1]
  1. Balliol College, University of Oxford, Oxford (United Kingdom)

I discuss classical and quantum recurrence theorems in a unified manner, treating both as generalisations of the fact that a system with a finite state space only has so many places to go. Along the way, I prove versions of the recurrence theorem applicable to dynamics on linear and metric spaces and make some comments about applications of the classical recurrence theorem in the foundations of statistical mechanics.

OSTI ID:
22403097
Journal Information:
Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 2 Vol. 56; ISSN JMAPAQ; ISSN 0022-2488
Country of Publication:
United States
Language:
English

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