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UNIVERSITY OF REGINA Department of Mathematics and Statistics

Department of Mathematics and Statistics
Graduate Student Seminar
SPEAKER: Jabib Leon Sanchez
DATE: 05 December 2006
TIME: 1.30 o'clock
LOCATION: College West 307.20 (Math & Stats Lounge)
TITLE: Introduction to the self avoiding walk and its scaling limit in dimension
d 5
ABSTRACT: Applications of the discrete case stochastic processes, simple ran-
dom walk (SRW), are of fundamental use in probability theory and is been used
in chemistry, physics and other mathematical areas. An interesting model derived
from a SRW is the self avoiding walk (SAW), developed with the intention of
modeling paths where the same site cannot be visited more than once.
In order to simplify the work in analyzing the discrete processes, approxima-
tions to continuous processes should be used, therefore, we will analyze the con-
vergence to the continuous processes, Brownian motion, as a limit of the SRW.
It is important to mention the definition of convergence in distribution, as well
as the notions of Brownian motion, SRW, the SAW and the main elements in-
volved in this model such as the critical exponents and and the connective


Source: Argerami, Martin - Department of Mathematics and Statistics, University of Regina


Collections: Mathematics