On the cover time of {\lambda}-biased walk on supercritical Galton-Watson trees

Tianyi Bai

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arXiv · 1905.05613

On the cover time of {\lambda}-biased walk on supercritical Galton-Watson trees

Tianyi Bai

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Abstract

In this paper, we study the time required for a {\lambda}-biased ({\lambda}>1) walk to visit all the vertices of a supercritical Galton-Watson tree up to generation n. Inspired by the extremal landscape approach in [Cortines, Louidor, Saglietti 2018] for the simple random walk on binary trees, we establish the scaling limit of the cover time in the biased setting.

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Tianyi Bai. 2019-05-14. On the cover time of {\lambda}-biased walk on supercritical Galton-Watson trees. https://arxiv.org/abs/1905.05613

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