Abstract
In this paper we study certain conformal iterated function schemes in two dimensions that are natural generalizations of the Sierpinski carpet construction. In particular, we consider scaling factors for which the open set condition fails. For such 'fat Sierpinski carpets' we study the range of parameters for which the dimension of the set is exactly known, or for which the set has positive measure.
| Translated title of the contribution | Properties of measures supported on fat Sierpinski carpets |
|---|---|
| Original language | English |
| Pages (from-to) | 739 - 754 |
| Number of pages | 15 |
| Journal | Ergodic Theory and Dynamical Systems |
| Volume | 26 (3) |
| DOIs | |
| Publication status | Published - Jun 2006 |