Quasi-geodesics in integrable and non-integrable exclusion processes
Probability
2024-12-17 v1
Abstract
Backwards geodesics for TASEP were introduced in [Fer18]. We consider flat initial conditions and show that under proper scaling its end-point converges to maximizer argument of the Airy process minus a parabola. We generalize its definition to generic non-integrable models including ASEP and speed changed ASEP (call it quasi-geodesics). We numerically verify that its end-point is universal, where the scaling coefficients are analytically computed through the KPZ scaling theory.
Cite
@article{arxiv.2412.11626,
title = {Quasi-geodesics in integrable and non-integrable exclusion processes},
author = {Patrik L. Ferrari and Min Liu},
journal= {arXiv preprint arXiv:2412.11626},
year = {2024}
}