Distribution of the First Hitting Point on a Boundary Set for a Random Walk in a Lattice Strip
Year: 2026
Type: preprint
Abstract: We consider a time-homogeneous random walk in a strip of a two-dimensional lattice whose transition probabilities are invariant under shifts along one of the coordinates. We study the limiting distribution of the first hitting point into a boundary set as the initial condition tends to infinity. Explicit expressions are obtained for this limiting distribution for negative and zero mean drift.
Source: arXiv (Cornell University)
Authors: Kuzin, I. M., Zamyatin, A. A.
Institution: Lomonosov Moscow State University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223878461