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Filtering by: Creator McDaniel, Mina R. Remove constraint Creator: McDaniel, Mina R. Committee Member Ossiander, Mina Remove constraint Committee Member: Ossiander, Mina Committee Member Bogley, William Remove constraint Committee Member: Bogley, William

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  • Computing entropy for Z²-actions

    Creator:
    Pierce, Larry A.
    Abstract:
    For a certain class of Z²-actions, we provide a proof of a conjecture that the ratio of the Perron eigenvalues of the transfer matrices of the free boundary restrictions converge to the entropy of that action. Also, a novel method for computing the entropy of Z²-actions is conjectured.
    Resource Type:
    Dissertation
    Full Text:
    , for r ≥ i and s ≥ j, we will define α (r,s) (i,j) to be the “rectangle” which consists of vertices