3 papers
math.PR2026
Invariant measures for half-space geometric LPP: classification and the one force--one solution principle
Sayan Das, Evan Sorensen, Zongrui Yang
We prove a complete characterization of the extremal invariant measures for half-space geometric last-passage percolation with an arbitrary boundary parameter. This is the first re…
math.PR2025
An upper bound on geodesic length in 2D critical first-passage percolation
Erik Bates, David Harper, Xiao Shen +1
We consider i.i.d. first-passage percolation (FPP) on the two-dimensional square lattice, in the critical case where edge-weights take the value zero with probability $\tfrac{1}{2}…
math.PR2025
Permutation invariance in last-passage percolation and the distribution of the Busemann process
Erik Bates, Elnur Emrah, James Martin +2
In i.i.d. exponential last-passage percolation, we describe the joint distribution of Busemann functions, over all edges and over all directions, in terms of a joint last-passage p…