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One-arm domination time in Cylindrical Hastings-Levitov$(0)$

2026-07-31 13:35:59

时间:2026年8月11日(星期二)14:00-16:00

地点:E14-301


主讲人:宗语轩,北京大学

报告主题:One-arm domination time in Cylindrical Hastings-Levitov$(0)$

报告摘要: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.