Pressure and recurrence
Véronique Maume-Deschamps, Bernard Schmitt, Mariusz Urbański, Anna Zdunik (2003)
Fundamenta Mathematicae
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We deal with a subshift of finite type and an equilibrium state μ for a Hölder continuous function. Let αⁿ be the partition into cylinders of length n. We compute (in particular we show the existence of the limit) , where is the element of the partition containing and τₙ(x) is the return time of the trajectory of x to the cylinder αⁿ(x).