Year: 2026
Type: preprint
Abstract: We study the Seppäläinen-Johansson model of first-passage percolation along a region of the plane where it moves from an ordered to a disordered phase, represented by a 2nd order discontinuity in its limit shape function. The fluctuations in this transition region are of order one, and we determine that certain limiting statistics are described by Fredholm determinants and are closely related to the largest eigenvalue of the GUE.
Source: arXiv (Cornell University)
Author: Rahman, Mustazee
Institution: Durham University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7222921863