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arXiv · 2110.09908

On random walks and switched random walks on homogeneous spaces

Elvira Moreno·Mauricio Velasco
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Abstract

We prove new mixing rate estimates for the random walks on homogeneous spaces determined by a probability distribution on a finite group $G$. We introduce the switched random walk determined by a finite set of probability distributions on $G$, prove that its long-term behavior is determined by the Fourier joint spectral radius of the distributions and give hermitian sum-of-squares algorithms for the effective estimation of this quantity.

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Elvira Moreno, Mauricio Velasco. 2021-10-19. On random walks and switched random walks on homogeneous spaces. https://arxiv.org/abs/2110.09908

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