4 papers
One-point fluctuations for exponential last passage percolation under upper-tail conditioning
Jinho Baik, Tejaswi Tripathi
We study exponential directed last passage percolation conditioned on the last passage time to a specified macroscopic point being atypically large. We determine the one-point fluc…
Conditional exponential directed last passage percolation under a one-point upper large deviation event
Jinho Baik, Dylan Cordaro, Tejaswi Tripathi
Under typical scaling, the last passage time field of the directed last passage percolation model with exponential site distributions converges to the KPZ fixed point. In this pape…
A determinant identity for the sum of contour integral matrices
Zhipeng Liu, Tejaswi Tripathi
We derive an identity for the determinant of the sum of two matrices, and , whose entries are defined via contour integrals. Specifically, we consider $U(i,j)=\f…
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…