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On Mixing Behavior of a Family of Random Walks Determined by a Linear Recurrence
Caprice Stanley, Seth Sullivant · 2017-10-11 · via math.PR updates on arXiv.org

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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