86 citations · 418 across the 38 of their papers we have counts for
39 papers
Coalescence and fluctuations of O'Connell$\unicode{x2013}$Yor polymers via the free-energy correlation profile
Firas Rassoul-Agha, Xiao Shen, Ruixuan Zhang +1
We establish an identity relating the spatial derivative of a two-point free-energy correlation to two fundamental geometric quantities: the annealed probability that two independe…
Rooted Gibbs-DLR Measures in Planar Directed Polymers
Christopher Janjigian, Firas Rassoul-Agha, Timo Seppäläinen
We study rooted Gibbs-DLR measures in the directed polymer model on with an ergodic disorder distribution which satisfies an additional mild hypothesis. We prove tha…
The Martin boundary of the Directed Landscape
Firas Rassoul-Agha, Mikhail Sweeney
In the directed landscape, the Martin boundary coincides with the horofunction boundary. We show that functions in this boundary are precisely the eternal solutions possessing a sp…
Shocks, instability, and the twenty networks of infinite geodesics in the Directed Landscape
Firas Rassoul-Agha, Mikhail Sweeney
For stochastic Hamilton-Jacobi (SHJ) equations, instability points are the space-time locations where two eternal solutions with the same asymptotic velocity differ. Another fundam…
Strong existence and uniqueness of the tilt-indexed Busemann process in the planar corner growth model
Christopher Janjigian, Firas Rassoul-Agha, Timo Seppäläinen
We show that the Busemann process indexed by tilts in the super-differential of the limit shape exists and is unique in the strong sense in the i.i.d.\ planar corner growth model.…
Shocks and instability in Brownian last-passage percolation
Firas Rassoul-Agha, Mikhail Sweeney
For stochastic Hamilton-Jacobi (SHJ) equations, instability points are the space-time locations where two eternal solutions with the same asymptotic velocity differ. Another crucia…