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- W3104419394 abstract "We study the linear large $n$ behavior of the average number of distinct sites $S(n)$ visited by a random walker after $n$ steps on a large random graph. An expression for the graph topology dependent prefactor $B$ in $S(n) = Bn$ is proposed. We use generating function techniques to relate this prefactor to the graph adjacency matrix and then devise message-passing equations to calculate its value. Numerical simulations are performed to evaluate the agreement between the message passing predictions and random walk simulations on random graphs. Scaling with system size and average graph connectivity are also analysed." @default.
- W3104419394 created "2020-11-23" @default.
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- W3104419394 date "2015-04-29" @default.
- W3104419394 modified "2023-10-18" @default.
- W3104419394 title "The average number of distinct sites visited by a random walker on random graphs" @default.
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- W3104419394 doi "https://doi.org/10.1088/1751-8113/48/20/205004" @default.
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