The oriented swap process on half line
Probability
2025-03-12 v1 Mathematical Physics
math.MP
Abstract
In this paper we study the oriented swap process on the positive integers and its asymptotic properties. Our results extend a theorem by Angel, Holroyd, and Romik regarding the trajectories of particles in the finite oriented swap process. Furthermore, we study the evolution of the type of a particle at the leftmost position over time. Our approach relies on a relationship between multi-species particle systems and Hecke algebras, complemented by a detailed asymptotic analysis.
Cite
@article{arxiv.2503.08341,
title = {The oriented swap process on half line},
author = {Yuan Tian},
journal= {arXiv preprint arXiv:2503.08341},
year = {2025}
}
Comments
are welcome!