29 citations · 49 across the 5 of their papers we have counts for
5 papers
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…
Local stationarity of exponential last passage percolation
Márton Balázs, Ofer Busani, Timo Seppäläinen
We consider point to point last passage times to every vertex in a neighbourhood of size , distance away from the starting point. The increments of these last…
Non-existence of bi-infinite geodesics in the exponential corner growth model
Márton Balázs, Ofer Busani, Timo Seppäläinen
This paper gives a self-contained proof of the non-existence of nontrivial bi-infinite geodesics in directed planar last-passage percolation with exponential weights. The technique…
Flats, spikes and crevices: the evolving shape of the inhomogeneous corner growth model
Elnur Emrah, Christopher Janjigian, Timo Seppäläinen
We study the macroscopic evolution of the growing cluster in the exactly solvable corner growth model with independent exponentially distributed waiting times. The rates of the exp…
Variational formulas and cocycle solutions for directed polymer and percolation models
Nicos Georgiou, Firas Rassoul-Agha, Timo Seppäläinen
We discuss variational formulas for the limits of certain models of motion in a random medium: namely, the limiting time constant for last-passage percolation and the limiting free…