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- W2952259084 abstract "The graph obtained from the integer grid Z x Z by the removal of all horizontal edges that do not belong to the x-axis is called a comb. In a random walk on a graph, whenever a walker is at a vertex v, in the next step it will visit one of the neighbors of v, each with probability 1/d(v), where d(v) denotes the degree of v. We answer a question of Cs'aki, Csorgo, Foldes, R'ev'esz, and Tusn'ady by showing that the expected number of vertices visited by a random walk on the comb after n steps is (1/(2sqrt{2pi})+o(1))sqrt nlog n. This contradicts a claim of Weiss and Havlin." @default.
- W2952259084 created "2019-06-27" @default.
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- W2952259084 date "2013-09-24" @default.
- W2952259084 modified "2023-10-06" @default.
- W2952259084 title "The range of a random walk on a comb" @default.
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