Random walks on primitive lattice points

Oliver Sargent

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arXiv · 1711.00518

Random walks on primitive lattice points

Oliver Sargent

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Abstract

We define a random walk on the set of primitive points of $\mathbb{Z}^d$. We prove that for walks generated by measures satisfying mild conditions these walks are recurrent in a strong sense. That is, we show that the associated Markov chains are positive recurrent and there exists a unique stationary measure for the random walk.

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Oliver Sargent. 2017-11-01. Random walks on primitive lattice points. https://arxiv.org/abs/1711.00518

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