Graduate Thesis Or Dissertation
 

Stochastic models of the Brownian motion

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https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/td96k564x

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  • This paper presents an exposition of the stochastic models for the Brownian motion. The results of Einstein and Wiener are presented, together with the Uhlenbeck-Ornstein process which gives a more realistic model of the Brownian motion of a particle. Finally, applying a one-one transformation on the forward Kolmogorov equation we have shown that the Uhlenbeck-Ornstein process can be transformed into the Wiener process.
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