29 citations · 86 across the 19 of their papers we have counts for
4 papers · 1 filter
Non-existence of bi-infinite polymer Gibbs measures
Ofer Busani, Timo Seppäläinen
We show that nontrivial bi-infinite polymer Gibbs measures do not exist in typical environments in the inverse-gamma (or log-gamma) directed polymer model on the planar square latt…
Bounds on the running maximum of a random walk with small drift
Ofer Busani, Timo Seppäläinen
We derive a lower bound for the probability that a random walk with i.i.d.\ increments and small negative drift exceeds the value by time . When the moment generating…
Universality of the geodesic tree in last passage percolation
Ofer Busani, Patrik Ferrari
In this paper we consider the geodesic tree in exponential last passage percolation. We show that for a large class of initial conditions around the origin, the line-to-point geode…
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…