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.

Recurrence times, waiting times and universal entropy production estimators

Jaksic, Vojkan;
2023-01-01

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.
2023
Cross-entropy
Decoupled measure
Entropy estimation
Relative entropy
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1309186
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