Browsing Theses by Subject "Combinatorics"
Now showing items 1-5 of 5
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Algebraic Methods and Monotone Hurwitz Numbers
(University of Waterloo, 2012-09-21)We develop algebraic methods to solve join-cut equations, which are partial differential equations that arise in the study of permutation factorizations. Using these techniques, we give a detailed study of the recently ... -
Cyclic Sieving Phenomenon of Promotion on Rectangular Tableaux
(University of Waterloo, 2012-09-28)Cyclic sieving phenomenon (CSP) is a generalization by Reiner, Stanton, White of Stembridge's q=-1 phenomenon. When CSP is exhibited, orbits of a cyclic action on combinatorial objects show a nice structure and their sizes ... -
Exponentially Dense Matroids
(University of Waterloo, 2011-12-15)This thesis deals with questions relating to the maximum density of rank-n matroids in a minor-closed class. Consider a minor-closed class M of matroids that does not contain a given rank-2 uniform matroid. The growth ... -
Hyperpfaffians in Algebraic Combinatorics
(University of Waterloo, 2006)The pfaffian is a classical tool which can be regarded as a generalization of the determinant. The hyperpfaffian, which was introduced by Barvinok, generalizes the pfaffian to higher dimension. This was further ... -
A Parallel Study of the Fock Space Approach to Classical and Free Brownian Motion
(University of Waterloo, 2017-08-28)The purpose of this thesis is to elaborate the similarities between the classical and the free probability by means of developing the chaos decomposition of stochastic integrals driven by Brownian motion and its free ...