Asymptotic behavior of the transition probability of a simple random walk on a line graph

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  • SHIRAI Tomoyuki
    Research Institute for Mathematical Sciences, Kyoto University Department of Mathematics, Tokyo Institute of Technology

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For simple random walks {PGn} on a homogeneous graph G and {PL(G)n} on its line graph L(G), we obtain the relationship between the asymptotic behavior of the n-step transition probability PGn(x, x) and that of PL(G)n(x, x) as n→∞.

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