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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

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Topological Properties of Invariant Sets for Anosov Maps with Holes

Simmons, Skyler C. 10 November 2011 (has links) (PDF)
We begin by studying various topological properties of invariant sets of hyperbolic toral automorphisms in the linear case. Results related to cardinality, local maximality, entropy, and dimension are presented. Where possible, we extend the results to the case of hyperbolic toral automorphisms in higher dimensions, and further to general Anosov maps.
Dynamical Systems
Open Systems
Hyperbolic Toral Automorphism
Hausdorff Dimension
Box Dimension
Anosov Map
Mathematics

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