3 papers
math.PR2026
On the most likely geodesic in last passage percolation
Sam McKeown, Shuta Nakajima
We consider the problem of identifying the paths most likely to occur as geodesics in last passage percolation. Heuristics suggest that these modal paths should be the extreme corn…
math.PR2025
The Busemann Process and Steep Highways in Directed First Passage Percolation
Sam McKeown
We consider the Busemann process in planar directed first passage percolation. We extend existing techniques to establish the existence of the process in our setting and determine…
math.PR2025
Near-the-Axis Universality in Last Passage Percolation
Sam McKeown, Xinyi Zhang
This note establishes a universal directed landscape limit for last passage percolation models in an intermediate scaling regime. We find as a quick consequence the transversal flu…