Return of $k$-bonacci random walks
Probability
2019-12-10 v2 Dynamical Systems
Abstract
In this work, the probability of return for random walks on , whose increment is given by the -bonacci sequence, is determined. Also, the Hausorff, packing and box-counting dimensions of the set of these walks that return an infinite number of times to the origin are given. As an application, we study the return for tribonacci random walks to the first term of the tribonacci sequence.
Cite
@article{arxiv.1911.11708,
title = {Return of $k$-bonacci random walks},
author = {Najmeddine Attia and Chouhaïd Souissi},
journal= {arXiv preprint arXiv:1911.11708},
year = {2019}
}