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.
Cristadoro, G., Degli Esposti, M., Jakšić, V., Raquépas, R. (2023). Recurrence times, waiting times and universal entropy production estimators. LETTERS IN MATHEMATICAL PHYSICS, 113(1), 1-26 [10.1007/s11005-023-01640-8].
Recurrence times, waiting times and universal entropy production estimators
Cristadoro G.Primo
;
2023
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.
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