Abstract
We now deal with conformal expanding random maps. We prove an appropriate version of Bowen’s Formula, which asserts that the Hausdorff dimension of almost every fiber \({\mathcal{J}}_{x}\), denoted throughout the paper by \(\mathrm{HD}\), is equal to a unique zero of the function \(t\mapsto \mathcal{E}\!P(t)\).
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© 2011 Springer-Verlag Berlin Heidelberg
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Mayer, V., Skorulski, B., Urbanski, M. (2011). Fractal Structure of Conformal Expanding Random Repellers. In: Distance Expanding Random Mappings, Thermodynamical Formalism, Gibbs Measures and Fractal Geometry. Lecture Notes in Mathematics(), vol 2036. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23650-1_5
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DOI: https://doi.org/10.1007/978-3-642-23650-1_5
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-23649-5
Online ISBN: 978-3-642-23650-1
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