3 citations · 5 across the 4 of their papers we have counts for
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Large deviations of geodesic midpoint fluctuations in last-passage percolation with general i.i.d. weights
Tom Alberts, Riddhipratim Basu, Sean Groathouse +1
The study of transversal fluctuations of the optimal path is a crucial aspect of the Kardar-Parisi-Zhang (KPZ) universality class. In this work, we establish the large deviation li…
Jointly invariant measures for the Kardar-Parisi-Zhang Equation
Sean Groathouse, Firas Rassoul-Agha, Timo Seppäläinen +1
We give an explicit description of the jointly invariant measures for the KPZ equation. These are couplings of Brownian motions with drift, and can be extended to a process defined…
Existence of generalized Busemann functions and Gibbs measures for random walks in random potentials
Sean Groathouse, Christopher Janjigian, Firas Rassoul-Agha
We establish the existence of generalized Busemann functions and Gibbs-Dobrushin-Landford-Ruelle measures for a general class of lattice random walks in random potential with finit…
Non-existence of non-trivial bi-infinite geodesics in Geometric Last Passage Percolation
Sean Groathouse, Christopher Janjigian, Firas Rassoul-Agha
We show non-existence of non-trivial bi-infinite geodesics in the solvable last-passage percolation model with i.i.d. geometric weights. This gives the first example of a model wit…