A problem in one-dimensional diffusion-limited aggregation (DLA) and positive recurrence of Markov chains

Harry Kesten, Vladas Sidoravicius

We consider the following problem in one-dimensional diffusion-limited aggregation (DLA). At time $t$, we have an "aggregate" consisting of $\mathbb{Z}\cap [0,R(t)]$ [with $R(t)$ a pos…