English

Random walk in a rotational environment

Probability 2023-12-06 v1

Abstract

We define a random walk of a particle in R3\mathbb{R}^3 where the space is rotating. The particle is not glued to the space and will collide with it at random times, resulting in changes in its velocity and direction. After many collisions, the random walk starts to have some asymptotic behaviors inherited from the movement of space. The paper will find the limit movement of the particle, and explain how the randomness of the random walk gives rise to the particle asymptotic deterministic movement.

Keywords

Cite

@article{arxiv.2312.02727,
  title  = {Random walk in a rotational environment},
  author = {Alberto M. Campos and Tarcísio P. R. Campos},
  journal= {arXiv preprint arXiv:2312.02727},
  year   = {2023}
}

Comments

16 pages, 3 figures

R2 v1 2026-06-28T13:41:36.132Z