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/
BYU ScholarsArchive Citation
Simmons, Skyler C., "Topological Properties of Invariant Sets for Anosov Maps with Holes" (2011). Theses and Dissertations. 3101.
https://scholarsarchive.byu.edu/etd/3101
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
Language
English