Abstract
We consider an asymptotic behaviour of the topological pressure, the Gibbs measure and the measure-theoretic entropy concerning a potential defined on a subshift. Our results are obtained by considering asymptotic perturbation of transfer operators and by using a method that avoids resolvent’s perturbation. In application, we investigate an asymptotic behaviour of the Hausdorff dimension of a perturbed cookie-cutter set.
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Communicated by K. Schmidt.
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Tanaka, H. An asymptotic analysis in thermodynamic formalism. Monatsh Math 164, 467–486 (2011). https://doi.org/10.1007/s00605-010-0238-4
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DOI: https://doi.org/10.1007/s00605-010-0238-4