The R’enyi Entropy Function and the Large Deviation of Short Return Times
نویسندگان
چکیده
We consider the Rényi entropy function for weakly ψ-mixing systems. The first main result proves existence and regularity properties. The second main result of the paper is to get the decay rate for the large deviation of the return time to cylinder sets. We show it to be exponential with a rate given by the Rényi entropy function. Finally we also obtain bounds for the free energy.
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