| Title: | Combinatorial, Geometrical, and Analytical Aspects of Random Walks in Domains with Boundary |
| Speaker: | Dorin Dumitrascu Associate Professor of Mathematics Mathematics Adrian College Adrian, MI |
| Abstract: |
The talk will present some interesting combinatorial and geometrical symmetries of the distribution of random walks on domains with boundary.
Naively, a random walk of length n consists of n consecutive "moves" (up, down, left, or right) on the lattice of integer points in the plane. Let Δ be an infinite domain in the Euclidean plane with boundary ∂Δ. I will give explicit formulas for the probability of a random walk to exit Δ at a precise point on ∂Δ.
The justification of such formulas presents meaningful connections with linear algebra, probability, geometry, and real analysis.
The talk is geared toward an undergraduate audience and exemplifies a possible "capstone" topic for our curriculum.
This is joint work with Jamie Brandon, currently at Brandeis University. |
| Location: | Palenske 227 |
| Date: | 2/21/2019 |
| Time: | 3:30 PM |
@abstract{MCS:Colloquium:DorinDumitrascu:2019:2:21,
author = "{Dorin Dumitrascu}",
title = "{Combinatorial, Geometrical, and Analytical Aspects of Random Walks in Domains with Boundary}",
address = "{Albion College Mathematics and Computer Science Colloquium}",
month = "{21 February}",
year = "{2019}"
}