Exact solution for statics and dynamics of maximal-entropy random walks on Cayley trees.

Abstract

We provide analytical solutions for two types of random walk: generic random walk (GRW) and maximal-entropy random walk (MERW) on a Cayley tree with arbitrary branching number, root degree, and number of generations. For MERW, we obtain the stationary state given by the squared elements of the eigenvector associated with the largest eigenvalue λ(0) of the… (More)

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