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    Symbolic Dynamics over Free Groups

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    Pekoske Senior Thesis (328.4Kb)
    Date
    2013-10-24
    Author
    Pekoske, Abby
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    Subjects
    free group; symbolic dynamics; periodic points for the shift
    Abstract
    Symbolic dynamics is used to model functions acting on complex topological spaces. This work explores the symbolic dynamics over a non-Abelian group, the free group on two generators. We begin by introducing the fundamentals of symbolic dynamics and Cayley graph coloring. We then explain the relationship between these fields and characterize classes of periodic points of the full shift over the free group.
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    • 2012-2013

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