Date of Award

2018

Degree Type

Dissertation

Degree Name

Doctor of Philosophy (PhD)

Graduate Group

Mathematics

First Advisor

Robin Pemantle

Abstract

Stochastic approximation methods have been widely used in random processes with reinforcement. Applications include root approximation algorithm, interacting urn models, and continuous reinforced processes. Emphasis is on the establishment of a so-called opinion broadcasting model, with the proof of an asymptotic result for such process using the idea of some stochastic approximation method.

Included in

Mathematics Commons

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