Probability Seminar: Kilian Raschel
- Date: 10/21/2015
- Time: 15:00
Lecturer(s):
Kilian Raschel, Pacific Institute for the Mathematical Sciences and Université de Tours
Location:
University of British Columbia
Topic:
Discrete harmonic functions in the quadrant
Description:
In this talk we shall be interested in discrete harmonic functions in cones (in particular, in the quarter plane). The generating function of these harmonic functions satisfies a functional equation (closed to a well-known functional equation that appears in the context of enumeration of confined walks in combinatorics). We shall show the link between these harmonic functions and a one-parameter family of conformal mappings. One of the motivations to that study is to condition (in the sense of Doob) random walks never to leave cones.
Other Information:
Location: ESB 2012