 
Summary: UNIVERSITY OF REGINA
Department of Mathematics and Statistics
Graduate Student Seminar
SPEAKER: Luis Diego Leon Chi
DATE: 05 December 2006
TIME: 2.30 o'clock
LOCATION: College West 307.20 (Math & Stats Lounge)
TITLE: The scaling limit of looperased random walk in five dimensions and
above
ABSTRACT: The understanding of the connections between gridbased models
and continuous processes is a project of fundamental importance in modern prob
ability research. One way to define a continuous process is by taking a scaling
limit of a discrete process. Brownian motion and looperased random walk are
two processes closely related. Brownian motion is among the simplest continuous
time stochastic processes, and as a continuous process, it can be defined by tak
ing the scaling limit of a looperased random walk. A looperased random walk
is defined as a process obtained by taking a simple random walk and, whenever
the random walk hits its path, removing the resulting loop and continuing. The
scaling limit of looperased random walk in five dimensions and above is the eas
iest case to analyze. In this case it turns out that there the intersections are only
