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arXiv · 1809.11022

Growing in time IDLA cluster is recurrent

Ruojun Huang
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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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Ruojun Huang. 2018-09-28. Growing in time IDLA cluster is recurrent. https://arxiv.org/abs/1809.11022

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