4 papers
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…
The KPZ fixed point and Brownian motion share the same null sets
Pantelis Tassopoulos, Sourav Sarkar
We show that the increments of the KPZ fixed point started from arbitrary initial data are \emph{mutually} absolutely continuous with respect to Brownian motion with diffusion para…
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…
The KPZ Fixed Point and the Directed Landscape
Pantelis Tassopoulos
The term 'KPZ' stands for the initials of three physicists, namely Kardar, Parisi and Zhang, which, in 1986 conjectured the existence of universal scaling behaviours for many rando…