Recurrence Theorems: a Unified Account

Publication Year:
Usage 384
Downloads 384
Social Media 2
Tweets 2
Repository URL:
Wallace, David
Most Recent Tweet View All Tweets
preprint description
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.