Variational principles for the topological pressure of measurable potentials
Marc Rauch
Discrete & Continuous Dynamical Systems - S 2017, 10(2): 367-394 doi: 10.3934/dcdss.2017018

We introduce notions of topological pressure for measurable potentials and prove corresponding variational principles. The formalism is then used to establish a Bowen formula for the Hausdorff dimension of cookie-cutters with discontinuous geometric potentials.

keywords: Thermodynamic formalism variational principle discontinuous potential discontinuous geometric potential cookie-cutter Hausdorff dimension

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