Abstract

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.

Degree

MS

College and Department

Physical and Mathematical Sciences; Mathematics

Rights

http://lib.byu.edu/about/copyright/

Date Submitted

2011-11-10

Document Type

Thesis

Handle

http://hdl.lib.byu.edu/1877/etd4810

Keywords

Dynamical Systems, Open Systems, Hyperbolic Toral Automorphism, Hausdorff Dimension, Box Dimension, Anosov Map

Included in

Mathematics Commons

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