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math.PR2025
Quantitative Brownian regularity of the KPZ fixed point with arbitrary initial data
Pantelis Tassopoulos, Sourav Sarkar
We show that the spatial increments of the KPZ fixed point starting from arbitrary initial data, exhibit strong quantitative comparison against rate two Brownian motion on compacts…
math.PR2025
Radon-Nikodym derivative of inhomogeneous Brownian last passage percolation
Pantelis Tassopoulos, Sourav Sarkar
We show that the Radon-Nikodym derivative of the law of the spatial increments (with endpoints away from the origin) of inhomogeneous Brownian last passage percolation (LPP) with n…