Random walk in a rotational environment

2023/12/05 by Alberto M. Campos, Campos, Alberto M., Tarcísio Passos Ribeiro de Campos +1
Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · #Data Management and Algorithms #Diffusion and Search Dynamics #FOS: Mathematics #Probability (math.PR) #Stochastic processes and statistical mechanics

paper · pdf · doi:10.48550/arxiv.2312.02727

openalex publication_date 2023/12/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We define a random walk of a particle in ℝ³ 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.

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