2 papers
math.PR2026
Limiting one-point fluctuations of the geodesic in the directed landscape near the endpoints when the geodesic length goes to infinity
Zhipeng Liu, Chen Ma, Tejaswi Tripathi
We consider the limiting fluctuations of the geodesic in the directed landscape, conditioning on its length going to infinity. It was shown in \cite{Liu22b,Ganguly-Hegde-Zhang23} t…
math.PR2025
On the multipoint distribution formulas of the parabolic Airy process
Zhipeng Liu, Aaron Ortiz
The parabolic Airy process is the Airy process minus a parabola, initially defined by its finite-dimensional distributions, which are given by a Fredholm determinant formula wi…