Wallace, David (2013) Recurrence Theorems: a Unified Account. [Preprint]
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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.
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| Item Type: | Preprint | ||||||
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| Keywords: | Recurrence Statistical Mechanics Classical Mechanics Quantum Mechanics Dynamics | ||||||
| Subjects: | Specific Sciences > Physics > Classical Physics Specific Sciences > Physics > Quantum Mechanics Specific Sciences > Physics > Statistical Mechanics/Thermodynamics |
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| Depositing User: | Professor David Wallace | ||||||
| Date Deposited: | 18 Jun 2013 14:17 | ||||||
| Last Modified: | 18 Jun 2013 14:17 | ||||||
| Item ID: | 9838 | ||||||
| Subjects: | Specific Sciences > Physics > Classical Physics Specific Sciences > Physics > Quantum Mechanics Specific Sciences > Physics > Statistical Mechanics/Thermodynamics |
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| Date: | 17 June 2013 | ||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/9838 |
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