Infinite Iterated Function Systems With Overlaps

Sze Man Ngai, Ji Xi Tong

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

We formulate two natural but different extensions of the weak separation condition to infinite iterated function systems of conformal contractions with overlaps, and study the associated topological pressure functions. We obtain a formula for the Hausdorff dimension of the limit sets under these weak separation conditions.

Original languageAmerican English
JournalErgodic Theory and Dynamical Systems
Volume36
DOIs
StatePublished - May 1 2016

Keywords

  • Conformal contractions
  • Hausdorff dimension
  • Infinite iterated function
  • Overlaps
  • Separation conditions
  • Topological pressure functions

DC Disciplines

  • Education
  • Mathematics

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