Random walk and Fibonacci matrices
Probability
2023-07-26 v2 Mathematical Physics
math.MP
Abstract
We study a discrete random walk on a one-dimensional finite lattice, where each state has different probabilities to move one step forward, backward, staying for a moment or being absorbed. We obtain expected number of arrivals and expected time until absorption using a new concept: Fibonacci matrices.
Cite
@article{arxiv.0901.0469,
title = {Random walk and Fibonacci matrices},
author = {Theo van Uem},
journal= {arXiv preprint arXiv:0901.0469},
year = {2023}
}
Comments
Accepted for publication by Muenster Journal of Mathematics , Volume 15 No 1 2022 p 221-233