Random Loewner Chains

This thesis contains four papers and two introductory chapters. It is mainly devoted to problems concerning random growth models related to the Loewner differential equation. In Paper I we derive a rate of convergence of the Loewner driving function for loop-erased random walk to Brownian motion wit...

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Bibliographic Details
Main Author: Johansson, Carl Fredrik
Format: Doctoral Thesis
Language:English
Published: KTH, Matematik (Inst.) 2010
Subjects:
Online Access:http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-12163
http://nbn-resolving.de/urn:isbn:978-91-7415-582-2