Recurrence times, waiting times and universal entropy production estimators

Giampaolo Cristadoro, Mirko Degli Esposti, Vojkan Jakšić, Renaud Raquépas

Published 2022-09-20Version 1

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.