Brownian absolute continuity of the KPZ fixed point with arbitrary initial condition
Probability
2021-05-18 v3 Mathematical Physics
math.MP
Abstract
We show that the law of the KPZ fixed point starting from arbitrary initial condition is absolutely continuous with respect to the law of Brownian motion on every compact interval. In particular, the Airy process is absolutely continuous with respect to on any compact interval.
Cite
@article{arxiv.2002.08496,
title = {Brownian absolute continuity of the KPZ fixed point with arbitrary initial condition},
author = {Sourav Sarkar and Bálint Virág},
journal= {arXiv preprint arXiv:2002.08496},
year = {2021}
}
Comments
21 pages. New references and a figure have been added, typos have been corrected, proof of Corollary 4.2 has been changed