Recurrence times, waiting times and universal entropy production estimators
Mathematical Physics
2023-06-07 v2 Information Theory
Dynamical Systems
math.IT
math.MP
Probability
Abstract
The universal typical-signal estimators of entropy and cross entropy based on the asymptotics of recurrence and waiting times play an important role in information theory. Building on their construction, we introduce and study universal typical-signal estimators of entropy production in the context of nonequilibrium statistical mechanics of one-sided shifts over finite alphabets.
Keywords
Cite
@article{arxiv.2209.09716,
title = {Recurrence times, waiting times and universal entropy production estimators},
author = {Giampaolo Cristadoro and Mirko Degli Esposti and Vojkan Jakšić and Renaud Raquépas},
journal= {arXiv preprint arXiv:2209.09716},
year = {2023}
}