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math.DS2022★ 2 cited
Existence of the zero temperature limit of equilibrium states on topologically transitive countable Markov shifts
Elmer R. Beltrán, Jorge Littin, Cesar Maldonado +1
Consider a topologically transitive countable Markov shift and a summable Markov potential with finite Gurevich pressure and . We prove existenc…
math.DS2011★ 8 cited
Concentration bounds for entropy estimation of one-dimensional Gibbs measures
J. -R. Chazottes, C. Maldonado
We obtain bounds on fluctuations of two entropy estimators for a class of one-dimensional Gibbs measures on the full shift. They are the consequence of a general exponential inequa…