For a dynamical system on a metric space a shrinking-target set consists of those points whose orbit hit a given ball of shrinking radius infinitely often. Historically such sets originate in Diophantine approximation, in which case they describe the set of well-approximable numbers. One aspect of such sets that is often studied is their Hausdorff dimension. We will show that an analogue of Bowen's dimension formula holds for such sets when they are generated by conformal non-autonomous iterated function systems satisfying some natural assumptions.
| Identifer | oai:union.ndltd.org:unt.edu/info:ark/67531/metadc1248505 |
| Date | 08 1900 |
| Creators | Lopez, Marco Antonio |
| Contributors | Fishman, Lior, Cherry, William, 1966-, Urbański, Mariusz |
| Publisher | University of North Texas |
| Source Sets | University of North Texas |
| Language | English |
| Detected Language | English |
| Type | Thesis or Dissertation |
| Format | v, 49 pages, Text |
| Rights | Public, Lopez, Marco Antonio, Copyright, Copyright is held by the author, unless otherwise noted. All rights Reserved. |
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