Search Constraints

Start Over
Filtering by: Committee Member Cotilla-Sanchez, J. Eduardo Remove constraint Committee Member: Cotilla-Sanchez, J. Eduardo Academic Affiliation Mathematics Remove constraint Academic Affiliation: Mathematics

Search Results

  • Overpartition Ranks, Cranks, and Frobenius Representations

    Creator:
    Morrill, Thomas
    Abstract:
    We generalize overpartition rank and crank generating functions to obtain k-fold variants, and give a combinatorial interpretation for each. The k-fold crank generating function is interpreted by extending the first and second residual cranks to a natural infinite family. The k-fold rank generating functions generate two families of buffered Frobenius...
    Resource Type:
    Dissertation
    Full Text:
    ′ = (m1,m2, . . . ,m`1) are given by mi = #{1 ≤ j ≤ k : `j ≥ i}. (2.1.1) 11 FIGURE 2.2: The Young

  • Computable Randomness, and Coding the Orbits of the Collatz Map

    Creator:
    Robson, Charlie
    Abstract:
    In this thesis I will look at a definition of computable randomness from Algorithmic Information Theory as defined by Andre Nies through the lens of Computable Analaysis asdefined by Klaus Weihrauch. I will show that despite the fact that these two paradigmsgenerate distinct classes of computable supermartingales, the class of...
    Resource Type:
    Dissertation
    Full Text:
    → N there is a total Turing machine r : Nj+1 → N such that 1 ≤ j ≤ k, Φa(x1, ..., xk) = Φr(a,x1