Transition Densities of Brownian Motion on Metric Graphs
Author: Justin Liu (justliu@umich.edu)
Date: July 2023
Produced as part of Indiana University's Math REU 2023
Overview
Overview
In this project, I (Justin Liu) give a brief overview of the construction of Brownian motion on metric graphs, and then outline known results and estimates for the transition density of Brownian motions on metric graphs, with a focus firstly on compact metric graphs and then infinite symmetric metric trees.Â