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math.PR2025
Local convergence in -PNG
Márton Balázs, Ruby Bestwick, Artem Borisov +2
We prove local convergence of the -PNG model with zero boundary to the stationary -PNG model, confirming a recent conjecture of Drillick and Lin (2024). The stationary -PN…
math.PR2025
Critical fluctuations of last passage percolation with thick boundaries
Elnur Emrah, Patrik L. Ferrari, Min Liu
We consider the exponential last passage percolation (LPP) with thick two-sided boundary that consists of a few inhomogeneous columns and rows. Ben Arous and Corwin previously stud…
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…