Limit Sets in Finitely-Generated Free Group and Monoid Actions

Date
2019-05-06
Authors
Binder, Kyle
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Abstract

For dynamical systems with the shadowing property, the omega-limit sets can be characterized by a condition of internal chain transitivity. In this thesis, we define four limit sets in the case of finitely-generated free group and monoid actions. We give a characterization for two of these limit sets in terms of a kind of internal transitivity under the condition that the group or monoid action has an asymptotic shadowing property.

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Mathematics, Topological Dynamics
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