V. L. Chernyshev, D. S. Minenkov, A. A. Tolchennikov, “The number of endpoints of a random walk on a semi-infinite metric path graph”, TMF, 2021, Volume 207, Number 1,Pages <nobr>104

This article is cited in 3 papers

The number of endpoints of a random walk on a semi-infinite metric path graph

V. L. Chernyshev^a, D. S. Minenkov^b, A. A. Tolchennikov^cb

^a National Research University "Higher School of Economics", Moscow, Russia
^b Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow
^c Lomonosov Moscow State University, Moscow, Russia

Abstract: We study a semi-infinite metric path graph and construct the long-time asymptotic logarithm of the number of possible endpoints of a random walk.

Keywords: abstract prime number, counting function, Bose–Maslov distribution.

MSC: 81Q35, 37E25, 11N80, 11N45

Received: 25.11.2020
Revised: 25.11.2020

DOI: 10.4213/tmf10014