Topological Properties of Invariant Sets for Anosov Maps with Holes

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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Bibliographic Details
Main Author: Simmons, Skyler C.
Format: Others
Published: BYU ScholarsArchive 2011
Subjects:
Dynamical Systems
Open Systems
Hyperbolic Toral Automorphism
Hausdorff Dimension
Box Dimension
Anosov Map
Mathematics
Online Access:https://scholarsarchive.byu.edu/etd/3101
https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=4100&context=etd

Internet

https://scholarsarchive.byu.edu/etd/3101
https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=4100&context=etd

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