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Fall 2015
A discrete flow (S,X) is a semigroup S acting on a set X where both S, and X are equipped with the discrete topology. Amenability of semigroups is a topic that explores the existence of measures that are invariant under the semigroup multiplication. The goal of this thesis is to generalize these...
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Fall 2017
Herein, a new methodology is developed to replicate functions, measures and stochastic processes onto a compact metric space. Each replica object is a weak or strong modification of the original object, so many results are easily established for the replica objects and then transferred back to...