Mathematics and Physics Seminar Series
AnnouncingAnnouncing
A Seminar Presentation
on Friday
February 16, 2018
from 3:00 pm - 3:45 pm in
North Hall 104
at The University of New Haven
Brownian motion on spaces with varying
dimension
Dr. Shuwen Lou
Postdoctoral Fellow
Department of Statistical Sciences
University of Toronto
Abstract: The first part of this talk will be an introduction to the relationship between
electrical networks in physics and Dirichlet forms. As a matter of fact, Dirichlet forms are
sometimes called “energy forms” because they characterize the energy consumed by electri-
cal networks when they are charged. In particular, we give the Dirichlet form characterization
for electrical networks with shorting. In the second part, we present a class of probabilistic
models of our interest: Brownian motion constructed on spaces with varying dimension, us-
ing the idea of “shorting”. Brownian motion on spaces with varying dimension has an intrinsic
interplay with the geometry of the underlying spaces, and therefore reveals many non-trivial
and interesting phenomena. We give an overview of their properties with an emphasis on the
two-sided heat kernel estimates. (This talk is based on my joint work with Zhen-Qing Chen.)
Fur ther Information
For further information, please contact Dr. Yasanthi Kottegoda at the Department of Mathematics and Physics,
Office: Maxcy 315, 203-932-1206, YKottegoda@newhaven.edu.