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Filtering by: Creator Jackman, E. R. Remove constraint Creator: Jackman, E. R. Academic Affiliation Mathematics Remove constraint Academic Affiliation: Mathematics Committee Member Fern, Alan Remove constraint Committee Member: Fern, Alan

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  • 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:
    , make a change of variables to polar coordinates. The integral becomes∫ ∞ 0 ∫ π/2 α 1 2π e−r 2/2

  • Revenue-based spectrum management via Markov decision process

    Creator:
    Zhu, Pingan
    Abstract:
    We consider the problem of wireless spectrum management in cognitive wireless networks that maximizes the revenue for a spectrum operator. Specifically, we study the problem on how a wireless spectrum operator can optimally allocate its limited spectrum to various classes users/devices who pay differently for their spectrum per unit time....
    Resource Type:
    Masters Thesis
    Full Text:
    rate T o ta l r ev en u e (D o lla rs ) Backward Induction Greedy (a) Total revenue for

  • 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

  • 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:
    for arbitrarily small epsilon. By the Markov inequality we see that the bound is τmix ≤ 1 � max x0 E

  • Listing as a Potential Connection between Sets of Outcomes and Counting Processes

    Creator:
    Erickson, Sarah A.
    Abstract:
    Counting problems are rich in opportunities for students to make meaningful mathematical connections and develop non-algorithmic thinking; their accessible nature and applications to computer science make counting problems a valuable part of mathematics curricula. However, students struggle in various ways with counting, and while previous studies have indicated that listing...
    Resource Type:
    Masters Thesis
    Full Text:
    rejection of inappropriate items” (p. 459). Solution Strategy E “Emergence of an ‘odometer’ pattern in