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arXiv · 1602.03499

Capacity of the range of random walk on $\mathbb{Z}^d$

Amine Asselah·Bruno Schapira·Perla Sousi
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Abstract

We study the capacity of the range of a transient simple random walk on $\mathbb{Z}^d$. Our main result is a central limit theorem for the capacity of the range for $d\ge 6$. We present a few open questions in lower dimensions.

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Amine Asselah, Bruno Schapira, Perla Sousi. 2016-02-10. Capacity of the range of random walk on $\mathbb{Z}^d$. https://arxiv.org/abs/1602.03499

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