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math.PR2024
The directed landscape seen from its trees
Mustazee Rahman, Balint Virag
A basic question about the directed landscape is how much of it can be reconstructed simply by knowing the shapes of its geodesics. We prove that the directed landscape can be reco…
math.PR2024
On the duality between particles and polymers
Mustazee Rahman
We explore the connection between tasep-like interacting particle systems and last passage percolation type polymer models, focusing on three models: Geometric, Exponential and Bro…