most citedAsymptotics of the Number of Endpoints of a Random Walk on a Certain Class of Directed Metric Graphs

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math-ph2022

A Metric Graph for Which the Number of Possible Endpoints of a Random Walk Grows Minimally

V. L. Chernyshev, A. A. Tolchennikov

We prove that metric graph with the minimal growth of the number of possible endpoints of a random walk is the union of several linear paths coming out of the same vertex

math-ph2021★ 1 cited

Asymptotics of the number of possible endpoints of a random walk on a directed Hamiltonian metric graph

Daniil Pyatko, Vsevolod Chernyshev

In this paper, the leading term of the asymptotics of the number of possible final positions of a random walk on a directed Hamiltonian metric graph is found. Consideration of such…