Robin PemantleChen, Chenchao2023-05-222001-01-012018-09-282018-01-012018-09-27https://repository.upenn.edu/handle/20.500.14332/30045Stochastic 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.60 p.application/pdfChenchao ChenMathematicsDissertation/Thesis