Non-backtracking random walk

R.J. Fitzner; R.W. Hofstad, van der

doi:10.1007/s10955-012-0684-6

Non-backtracking random walk

R.J. Fitzner, R.W. Hofstad, van der

Research output: Contribution to journal › Article › Academic › peer-review

23 Citations (Scopus)

Abstract

We consider non-backtracking random walk (NBW) in the nearest-neighbor setting on the Z d -lattice and on tori. We evaluate the eigensystem of the m×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 Z d and to obtain estimates on the convergence towards the stationary distribution for NBW on the torus.

Original language	English
Pages (from-to)	264-284
Journal	Journal of Statistical Physics
Volume	150
Issue number	2
DOIs	https://doi.org/10.1007/s10955-012-0684-6
Publication status	Published - 2013

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title = "Non-backtracking random walk",

abstract = "We consider non-backtracking random walk (NBW) in the nearest-neighbor setting on the Z d -lattice and on tori. We evaluate the eigensystem of the m×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 Z d and to obtain estimates on the convergence towards the stationary distribution for NBW on the torus.",

author = "R.J. Fitzner and {Hofstad, van der}, R.W.",

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AB - We consider non-backtracking random walk (NBW) in the nearest-neighbor setting on the Z d -lattice and on tori. We evaluate the eigensystem of the m×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 Z d and to obtain estimates on the convergence towards the stationary distribution for NBW on the torus.

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VL - 150

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JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 2

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Non-backtracking random walk

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