Hyperbolicity in complex analysis

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Hausdorr Dimension, Strong Hyperbolicity and Complex Dynamics

x0. Introduction Let X be a compact metric space and assume that f : X ! X is a continuous map. Denote by the nonwandering set of f. An interesting and a nontrivial invariant of f is HD(()-the Hausdorr dimension of. It is usually a highly nontrivial problem to nd HD((). The seminal work of Bowen Bow2] gives HD(() as the solution to P(tt) = 0 for some special expanding maps. Here P(g) denotes th...

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Let X be a compact metric space and assume that f : X ! X is a continuous map. Denote by the nonwandering set of f. An interesting and a nontrivial invariant of f is HD(()-the Hausdorr dimension of. It is usually a highly nontrivial problem to nd HD((). The seminal work of Bowen Bow2] gives HD(() as the solution to P(tt) = 0 for some special expanding maps. Here P(g) denotes the topological pre...

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ژورنال

عنوان ژورنال: Annales Academiae Scientiarum Fennicae. Series A. I. Mathematica

سال: 1988

ISSN: 0066-1953

DOI: 10.5186/aasfm.1988.1329