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math-ph2022★ 7 cited
Recurrence times, waiting times and universal entropy production estimators
Giampaolo Cristadoro, Mirko Degli Esposti, Vojkan Jakšić +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…
math-ph2006★ 6 cited
Generalized Farey trees, transfer Operators and phase transitions
Mirko Degli Esposti, Stefano Isola, Andreas Knauf
We consider a family of Markov maps on the unit interval, interpolating between the tent map and the Farey map. The latter map is not uniformly expanding. Each map being composed o…