Large intersection classes on fractals

Summary, in Swedish

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.

• Author: David Färm; Tomas Persson
• Department/s: Mathematics (Faculty of Engineering); Dynamical systems
• Publishing year: 2011
• Language: English
• Pages: 1291-1309
• Publication/Series: Nonlinearity
• Volume: 24
• Issue: 4
• Links: https://arxiv.org/abs/0912.0864; http://dx.doi.org/10.1088/0951-7715/24/4/014
• Document type: Journal article
• Publisher: London Mathematical Society / IOP Science
• Topic: Mathematics
• Status: Published
• Research group: Analysis and Dynamics; Dynamical systems
• ISBN/ISSN/Other: ISSN: 0951-7715