Capacity of the range of random walks on groups

Rudi Mrazović; Nikola Sandrić; Stjepan Šebek

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arXiv · 2103.04588

Capacity of the range of random walks on groups

Rudi Mrazović·Nikola Sandrić·Stjepan Šebek

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Abstract

In this paper, we discuss asymptotic behavior of the capacity of the range of symmetric simple random walks on finitely generated groups. We show the corresponding strong law of large numbers and central limit theorem.

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Rudi Mrazović, Nikola Sandrić, Stjepan Šebek. 2021-03-08. Capacity of the range of random walks on groups. https://arxiv.org/abs/2103.04588

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