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Real Analyticity of Pressure

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Part of the Lecture Notes in Mathematics book series (LNM,volume 2036)

Abstract

Here we provide, in particular, the real analyticity results that where used in the proof of the real analyticity of the multifractal spectrum (Chap. 6.3). We putted this part at the end of the manuscript since, as already mentioned, it is of different nature. It is heavily based on ideas of Rugh [26] and uses the Hilbert metric on appropriately chosen cones.

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Correspondence to Volker Mayer .

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© 2011 Springer-Verlag Berlin Heidelberg

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Mayer, V., Skorulski, B., Urbanski, M. (2011). Real Analyticity of Pressure. 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_9

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