Interacting particle systems with moving boundaries

Probability Seminar

Li-Cheng Tsai (Columbia University)

Thursday, March 23, 2017 -
3:15pm to 4:15pm
Physics 119

In this talk I will go over two examples of one-dimensional interacting particle systems: Aldous' up-the-river problem, and a modified Diffusion Limited Growth. I will explain how these systems connect to certain PDE problems with boundaries. For the up-the-river problem this connection helps to solve Aldous’ conjecture regarding an optimal strategy. For the modified DLA, this connection helps to characterize the scaling exponent and scaling limit of the boundary at the critical density. This talk is based on joint work with Amir Dembo and Wenpin Tang.