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• W2068923229 startingPage "729" @default.
• W2068923229 abstract "Over a $psi$-mixing dynamical system we consider the function $tau(C_n)$ $/n$ in the limit of large $n$, where $tau(C_n)$ is the first return of a cylinder of length $n$ to itself. Saussol et al. ([30]) proved that this function is constant almost everywhere if the $C_n$ are chosen in a descending sequence of cylinders around a given point. We prove upper and lower general bounds for its large deviation function. Under mild assumptions we compute the large deviation function directly and show that the limit corresponds to the Rényi's entropy of the system. We finally compute the free energy function of $tau(C_n)$ $/n$. We illustrate our results with a few examples." @default.
• W2068923229 created "2016-06-24" @default.
• W2068923229 creator A5063836577 @default.
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• W2068923229 date "2008-01-01" @default.
• W2068923229 modified "2023-09-27" @default.
• W2068923229 title "Large deviations for short recurrence" @default.
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• W2068923229 doi "https://doi.org/10.3934/dcds.2008.21.729" @default.
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