A short proof of a theorem of Ruelle

Manfred Denker, Christoph Seck

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)295-299
Number of pages5
JournalMonatshefte für Mathematik
Volume108
Issue number4
DOIs
StatePublished - Dec 1 1989

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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