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Title: Recurrence theorems: A unified account

Abstract

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.

Authors:
 [1]
  1. Balliol College, University of Oxford, Oxford (United Kingdom)
Publication Date:
OSTI Identifier:
22403097
Resource Type:
Journal Article
Journal Name:
Journal of Mathematical Physics
Additional Journal Information:
Journal Volume: 56; Journal Issue: 2; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0022-2488
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CLASSICAL MECHANICS; METRICS; QUANTUM MECHANICS; SPACE; STATISTICAL MECHANICS

Citation Formats

Wallace, David. Recurrence theorems: A unified account. United States: N. p., 2015. Web. doi:10.1063/1.4907384.
Wallace, David. Recurrence theorems: A unified account. United States. https://doi.org/10.1063/1.4907384
Wallace, David. 2015. "Recurrence theorems: A unified account". United States. https://doi.org/10.1063/1.4907384.
@article{osti_22403097,
title = {Recurrence theorems: A unified account},
author = {Wallace, David},
abstractNote = {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.},
doi = {10.1063/1.4907384},
url = {https://www.osti.gov/biblio/22403097}, journal = {Journal of Mathematical Physics},
issn = {0022-2488},
number = 2,
volume = 56,
place = {United States},
year = {Sun Feb 15 00:00:00 EST 2015},
month = {Sun Feb 15 00:00:00 EST 2015}
}