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most citedJointly invariant measures for the Kardar-Parisi-Zhang Equation

3 citations · 5 across the 4 of their papers we have counts for

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math.PR2023★ 3 cited

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…

math.PR2023★ 2 cited

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…