Thu, April 20, 2017
10:20 am - 11:15 am
Cockins Hall 240
Title: Diffusion limited aggregation in the Boolean lattice
Speaker: Wesley Pegden (Carnegie Mellon University)
Abstract: In the Diffusion Limited Aggregation (DLA) process on $\mathbb{Z}^2$, particles aggregate to cluster initialized as a singleton containing the origin, by arrivals on random walks "from infinity". The scaling limit of the result, empirically, is a fractal with dimension strictly less than 2. Very little has been shown rigorously about the process, however.
Motivated by interest in the impact of high dimensionality on this kind of process, We study an analogous model in the Boolean lattice. We will see that precise and surprising characteristics of this model can be proved rigorously.