Random Walks and Their Scaling Limits

This dissertation deals with two-dimensional random walks and their conformally invariant scaling limits. More precisely, we study two kinds of random walks: sum of independently identically distributed random variables (with Brownian motion as the scaling limit) and self-interacting random walks (w...

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Bibliographic Details
Main Author: Jiang, Jianping
Other Authors: Kennedy, Tom
Language:en_US
Published: The University of Arizona. 2015
Subjects:
Online Access:http://hdl.handle.net/10150/556605