The two-time distribution in geometric last-passage percolation
Probability
2018-11-07 v4 Mathematical Physics
math.MP
Abstract
We study the two-time distribution in directed last passage percolation with geometric weights in the first quadrant. We compute the scaling limit and show that it is given by a contour integral of a Fredholm determinant.
Keywords
Cite
@article{arxiv.1802.00729,
title = {The two-time distribution in geometric last-passage percolation},
author = {Kurt Johansson},
journal= {arXiv preprint arXiv:1802.00729},
year = {2018}
}
Comments
34 pages. Typos corrected in revised version. In particular sign errors in (2.10) and (2.11) (v2). In the revised version of the paper (v3) the asymptotic analysis has been modified (corrected) and a new section has been added. Minor corrections