What is it about?
The paper establishes the distributions and means for the number of crossings states and sets of states for simple two-dimensional random walk that starts at the origin and then at the first time returns to the initial point. We develop relatively novel methodology for the solution of the problem.
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Why is it important?
The study can be a good subject matter for students, who is interested in random walk problems.
Perspectives
The results are of fundamental nature and can attract many researchers.
Dr Vyacheslav Abramov
Monash University
Read the Original
This page is a summary of: Crossings States and Sets of States in Random Walks, Methodology And Computing In Applied Probability, February 2023, Springer Science + Business Media,
DOI: 10.1007/s11009-023-09979-0.
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