Expected First Return Times for Random Walks on Bounded Grids

Nan An

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arXiv · 2505.00641

Expected First Return Times for Random Walks on Bounded Grids

Nan An

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Abstract

We derive a general formula for computing the expected first return time of a random walk on a finite graph. Using this framework, we calculate the expected first return time in various settings over bounded rectangular grids with different boundary conditions.

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Nan An. 2025-05-01. Expected First Return Times for Random Walks on Bounded Grids. https://arxiv.org/abs/2505.00641

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