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Filtering by: Creator Emenger, Robert S. Remove constraint Creator: Emenger, Robert S. Academic Affiliation Mathematics Remove constraint Academic Affiliation: Mathematics Committee Member Fern, Alan Remove constraint Committee Member: Fern, Alan

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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:
    : Computing Entropy for Z2-actions Abstract Approved: Robert M. Burton Abstract: For a certain class of Z2

  • Probabilities of voting paradoxes with three candidates

    Creator:
    McDonald, Leslie M.
    Abstract:
    Pardoxes in voting has been an interest of voting theorists since the 1800's when Condorcet demonstrated the key example of a voting paradox: voters with individually transitive rankings produce an election outcome which is not transitive. With Arrow's Impossibility Theorem, the hope of finding a fair voting method which accurately...
    Resource Type:
    Masters Thesis
    Full Text:
    interest of voting theorists since the 1800’s when Condorcet demonstrated the key example of a voting

  • Mixing time for a 3-cycle interacting particle system : a coupling approach

    Creator:
    Eves, Matthew Jasper
    Abstract:
    This thesis examines the mixing times for one-dimensional interacting particle systems. We use the coupling method to study the mixing rates for particle systems on the circle which move according to specific permutations e.g., transpositions and 3-cycles.
    Resource Type:
    Masters Thesis
    Full Text:
    − µ0P t||TV = 1 2 ∑ x�S ∣∣Prob[Xt = x]− Prob[Yt = x]∣∣ = 1 2 ∑ x�S ∣∣Prob[Xt = x, T > t]− Prob[Yt