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math.PR2026
A non-trivial dynamics on the directed landscape
Manan Bhatia
We prove the existence of a non-trivial continuous stationary reversible dynamics on the directed landscape as a subsequential scaling limit of Brownian last passage percolation un…
math.PR2026
Geodesic traces in dynamical Brownian last passage percolation
Manan Bhatia
We consider Brownian last passage percolation (BLPP) in which the Brownian increment process on each unit horizontal interval is independently resampled at rate one. By combining s…
math.PR2026
Uniformity of extremal behaviour along geodesics in Liouville quantum gravity
Manan Bhatia, Konstantinos Kavvadias
In random geometry, geodesics often have a tendency to coalesce together and traverse regions highly singular relative to typical environments. In this paper, working with the mode…