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arXiv · 1710.03845

On Mixing Behavior of a Family of Random Walks Determined by a Linear Recurrence

Caprice Stanley·Seth Sullivant
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Abstract

We study random walks on the integers mod $G_n$ that are determined by an integer sequence $\{ G_n \}_{n \geq 1}$ generated by a linear recurrence relation. Fourier analysis provides explicit formulas to compute the eigenvalues of the transition matrices and we use this to bound the mixing time of the random walks.

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Caprice Stanley, Seth Sullivant. 2017-10-10. On Mixing Behavior of a Family of Random Walks Determined by a Linear Recurrence. https://arxiv.org/abs/1710.03845

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