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Recurrence Theorems: a Unified Account

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
    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
    Depositing User: David Wallace
    Date Deposited: 18 Jun 2013 10:17
    Last Modified: 18 Jun 2013 10:17
    Item ID: 9838
    URI: http://philsci-archive.pitt.edu/id/eprint/9838

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