Variational principles for the topological pressure of measurable potentials
Marc Rauch

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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