Time：13:00-15:00, Tuesday, Aygust 11 2026
Venue：E14-301
Speaker：Yuxuan Zong, Peking University
Title：One-arm domination time in Cylindrical Hastings-Levitov$(0)$
Abstract：We introduce an aggregation process called Cylindrical Hastings-Levitov$(0)$. The model admits a single infinite connected tree (arm). For a cylinder of width $N$ and particles of size $\lambda$, we consider the first time $\upsilon_{N, \lambda}$ after which only the unique infinite tree receives particles. We prove that $\frac{cN^2}{\lambda^3} \le \E[\upsilon_{N, \lambda}]\le\frac{CN^2}{\lambda^3}$, and establish an exponential tail for $\upsilon_{N, \lambda}$. This is joint work with Guanyi Chen and Eviatar B. Procaccia.
