Recurrence times, waiting times and universal entropy production estimators

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.

References in corpus (3)

• Entropic Fluctuations in Statistical Mechanics I. Classical Dynamical Systems
• Sharp error terms for return time statistics under mixing conditions
• On entropy production of repeated quantum measurements II. Examples

Cited by in corpus (4)

• A gapped generalization of Kingman's subadditive ergodic theorem
• On a waiting-time result of Kontoyiannis: mixing or decoupling?
• Large deviations of return times and related entropy estimators on shift spaces
• On the Ziv-Merhav theorem beyond Markovianity