Fractal Dimensions for Dissipative Sets

Bernd O Stratmann, R Vogt

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

For characteristic subsets of infinite binary shift spaces, we derive lower bounds for the Hausdorff dimension with respect to Gibbs measures. Using these estimates, we then obtain a more refined fractal analysis of dissipative phenomena for the dynamical system which inspired van Strien and Nowicki to construct Julia sets of positive Lebesgue measure.

Original languageEnglish
Pages (from-to)565-577
Number of pages13
JournalNonlinearity
Volume10
Issue number2
DOIs
Publication statusPublished - Mar 1997

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