Interacting particle systems with type D symmetry and duality
Probability
2020-11-30 v1 Mathematical Physics
math.MP
Representation Theory
Abstract
We construct a two-class asymmetric interacting particle system with or symmetry, in which up to two particles may occupy a site if the two particles have different class. The particles exhibit a drift, but there is no preference given between first-class and second-class particles. The quantum group symmetry leads to reversible measures and a self-duality for the particle system. Additionally, a new method is developed to construct a symmetric interacting particle system from the Casimir element of .
Cite
@article{arxiv.2011.13473,
title = {Interacting particle systems with type D symmetry and duality},
author = {Jeffrey Kuan and Mark Landry and Andrew Lin and Andrew Park and Zhengye Zhou},
journal= {arXiv preprint arXiv:2011.13473},
year = {2020}
}