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arXiv · 2110.15889

Balanced Excited Random Walk in Two Dimensions

Omer Angel·Mark Holmes·Alejandro Ramírez
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Abstract

We give non-trivial upper and lower bounds on the range of the so-called Balanced Excited Random Walk in two dimensions, and verify a conjecture of Benjamini, Kozma and Schapira. To the best of our knowledge these are the first non-trivial results for this 2-dimensional model

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Omer Angel, Mark Holmes, Alejandro Ramírez. 2021-10-29. Balanced Excited Random Walk in Two Dimensions. https://arxiv.org/abs/2110.15889

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