A short proof of a theorem of Ruelle

Manfred Denker; Christoph Seck

doi:10.1007/BF01501131

A short proof of a theorem of Ruelle

Manfred Denker, Christoph Seck

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Using the existence of conformal measures in the sense of Sullivan [4] and Denker, Urbański [2] we give a simple proof of Ruelle's Theorem, that the Hausdorff dimension of a hyperbolic Julia set is the solution of the equation P(R,-tlog|R′|)=0.

Original language	English (US)
Pages (from-to)	295-299
Number of pages	5
Journal	Monatshefte für Mathematik
Volume	108
Issue number	4
DOIs	https://doi.org/10.1007/BF01501131
State	Published - Dec 1989

All Science Journal Classification (ASJC) codes

General Mathematics

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title = "A short proof of a theorem of Ruelle",

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AB - Using the existence of conformal measures in the sense of Sullivan [4] and Denker, Urbański [2] we give a simple proof of Ruelle's Theorem, that the Hausdorff dimension of a hyperbolic Julia set is the solution of the equation P(R,-tlog|R′|)=0.

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A short proof of a theorem of Ruelle

Abstract

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