Characterization of Brownian Gibbsian line ensembles
Probability
2020-03-26 v2 Mathematical Physics
math.MP
Abstract
In this paper we show that a Brownian Gibbsian line ensemble is completely characterized by the finite-dimensional marginals of its top curve, i.e. the finite-dimensional sets of the its top curve form a separating class. A particular consequence of our result is that the Airy line ensemble is the unique Brownian Gibbsian line ensemble, whose top curve is the Airy process.
Keywords
Cite
@article{arxiv.2002.00684,
title = {Characterization of Brownian Gibbsian line ensembles},
author = {Evgeni Dimitrov and Konstantin Matetski},
journal= {arXiv preprint arXiv:2002.00684},
year = {2020}
}
Comments
48 pages, 7 figures; Fixed a few typos and added a new corollary