- Series
- Stochastics Seminar
- Time
- Thursday, October 25, 2018 - 3:05pm for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Eviatar Procaccia – Texas A&M – procaccia@math.tamu.edu – https://sites.google.com/site/ebprocaccia/
- Organizer
- Michael Damron
We prove a discrete Beurling estimate for the harmonic measure in a wedge in $\mathbf{Z}^2$, and use it to show that Diffusion Limited Aggregation (DLA) in a wedge of angle smaller than $\pi/4$ stabilizes. This allows to consider the infinite DLA as a finite time growth process and questions about the number of arms, growth and dimension. I will present some conjectures and open problems. This is joint work with Ron Rosenthal (Technion) and Yuan Zhang (Pekin University).