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arXiv · 1212.6390

Non-backtracking random walk

Robert Fitzner·Remco van der Hofstad
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Abstract

We consider non-backtracking random walk (NBW) in the nearest-neighbor setting on the Zd-lattice and on tori. We evaluate the eigensystem of the m X m-dimensional transition matrix of NBW where m denote the degree of the graph. We use its eigensystem to show a functional central limit theorem for NBW on Zd and to obtain estimates on the convergence towards the stationary distribution for NBW on the torus.

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BibTeXRIS

Robert Fitzner, Remco van der Hofstad. 2012-12-27. Non-backtracking random walk. https://doi.org/10.1007/s10955-012-0684-6

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