Topological Properties of Invariant Sets for Anosov Maps with Holes
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 h...
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Format: | Others |
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BYU ScholarsArchive
2011
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Online Access: | https://scholarsarchive.byu.edu/etd/3101 https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=4100&context=etd |
Summary: | 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. |
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