New techniques to solve the 1-dimensional random flight
Mathematical Physics
2023-06-30 v2 math.MP
Abstract
We present here two new techniques to solve the one-dimensional random flight. The first one is an expansion in the number of collisions. The second one is the obtention of a Fourier series. This second technique can be applied to an arbitrary number of dimensions. Some mathematical identities are obtained.
Cite
@article{arxiv.2211.11124,
title = {New techniques to solve the 1-dimensional random flight},
author = {Ricardo García-Pelayo},
journal= {arXiv preprint arXiv:2211.11124},
year = {2023}
}
Comments
12 pages, 2 figures