Large intersection classes on fractals

Research output: Contribution to journalArticle

Abstract

Abstract in Undetermined
We consider limit sets of conformal iterated function systems, and introduce classes of subsets of these limit sets, with the property that the classes are closed under countable intersections and that all sets in the classes have a large Hausdorff dimension. Using these classes we determine the Hausdorff dimension and large intersection properties of some sets occurring in ergodic theory, Diophantine approximation and complex dynamics.

Details

Authors
Organisations
External organisations
  • External Organization - Unknown
Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Mathematics
Original languageEnglish
Pages (from-to)1291-1309
JournalNonlinearity
Volume24
Issue number4
Publication statusPublished - 2011
Publication categoryResearch
Peer-reviewedYes