Thermodynamic formalism and dimension gaps

Given an expanding Markov map T : [0; 1] → [0; 1] which admits an absolutely continuous invariant probability measure, we say that T gives rise to a dimension gap if there exists some c > 0 for which supp dim μp 1 . c, where μp denotes the Bernoulli measure associated to the probability vector p....

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Bibliographic Details
Main Author: Jurga, Natalia Anna
Published: University of Warwick 2018
Subjects:
510
Online Access:https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.759688