Growing in time IDLA cluster is recurrent
classification
🧮 math.PR
keywords
clustergrowingidlarecurrenttimewhenaggregationbound
read the original abstract
We show that Internal Diffusion Limited Aggregation (IDLA) on $\mathbb{Z}^d$ has near optimal Cheeger constant when the growing cluster is large enough. This implies, through a heat kernel lower bound derived previously in [H], that simple random walk evolving independently on growing in time IDLA cluster is recurrent when $d\ge 3$.
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