91 citations · 792 across the 40 of their papers we have counts for
4 papers · 1 filter
Global structure of semi-infinite geodesics and competition interfaces in Brownian last-passage percolation
Timo Seppäläinen, Evan Sorensen
In Brownian last-passage percolation (BLPP), the Busemann functions are indexed by two points $\mathbf x,\mathbf y \in \mathbb Z \times \mathbb…
Optimal-order exit point bounds in exponential last-passage percolation via the coupling technique
Elnur Emrah, Christopher Janjigian, Timo Seppäläinen
We develop a new probabilistic method for deriving deviation estimates in directed planar polymer and percolation models. The key estimates are for exit points of geodesics as they…
Busemann process and semi-infinite geodesics in Brownian last-passage percolation
Timo Seppäläinen, Evan Sorensen
We prove the existence of semi-infinite geodesics for Brownian last-passage percolation (BLPP). Specifically, on a single event of probability one, there exist semi-infinite geodes…
Geodesic length and shifted weights in first-passage percolation
Arjun Krishnan, Firas Rassoul-Agha, Timo Seppäläinen
We study first-passage percolation through related optimization problems over paths of restricted length. The path length variable is in duality with a shift of the weights. This p…