86 citations · 418 across the 38 of their papers we have counts for
4 papers · 1 filter
Uniqueness and ergodicity of stationary directed polymers on
Christopher Janjigian, Firas Rassoul-Agha
We study the ergodic theory of stationary directed nearest-neighbor polymer models on , with i.i.d. weights. Such models are equivalent to specifying a stationary dist…
Busemann functions and Gibbs measures in directed polymer models on
Christopher Janjigian, Firas Rassoul-Agha
We consider random walk in a space-time random potential, also known as directed random polymer measures, on the planar square lattice with nearest-neighbor steps and general i.i.d…
Busemann functions, geodesics, and the competition interface for directed last-passage percolation
Firas Rassoul-Agha
In this survey article we consider the directed last-passage percolation model on the planar square lattice with nearest-neighbor steps and general i.i.d. weights on the vertices,…
Large deviations and wandering exponent for random walk in a dynamic beta environment
Márton Balázs, Firas Rassoul-Agha, Timo Seppäläinen
Random walk in a dynamic i.i.d. beta random environment, conditioned to escape at an atypical velocity, converges to a Doob transform of the original walk. The Doob-transformed env…