Abstract:
We prove a discrete Beurling estimate for the harmonic measure in a wedge in Z2, and use it to show that Diffusion Limited Aggregation (DLA) in a wedge of angle smaller than π/4 stabilizes. This allows to consider the infinite DLA and questions about the number of arms, growth and dimension. I will present some conjectures and open problems. Joint work with Eviatar B. Procaccia and Ron Rosenthal.
Biography:
Yuan Zhang got his Ph.D. degree at Duke University in the year of 2015. He is an Assistant Professor at School of Mathematical Sciences, Peking University since 2018. His research interests primarily focus on interacting particle system, diffusion limited aggregations, random walk and random interlacements.
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai