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Hausdorff Dimension of Shrinking-Target Sets Under Non-Autonomous Systems

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.

Identiferoai:union.ndltd.org:unt.edu/info:ark/67531/metadc1248505
Date08 1900
CreatorsLopez, Marco Antonio
ContributorsFishman, Lior, Cherry, William, 1966-, UrbaƄski, Mariusz
PublisherUniversity of North Texas
Source SetsUniversity of North Texas
LanguageEnglish
Detected LanguageEnglish
TypeThesis or Dissertation
Formatv, 49 pages, Text
RightsPublic, Lopez, Marco Antonio, Copyright, Copyright is held by the author, unless otherwise noted. All rights Reserved.

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