Sourav Sarkar

activity

20172026

collaborators

Showing 2026Show all

3 papers · 1 filter

math.PR2026

Geometry of semi-infinite geodesics in the Airy line ensemble

Pantelis Tassopoulos, Sourav Sarkar

We study the geometry of semi-infinite geodesics in the Airy line ensemble. We establish sharp estimates for disjointness probabilities involving geodesics with nearby directions a…

math.PR2026

The starting point of a directed geodesic is special

Pantelis Tassopoulos, Sourav Sarkar

For any $t \in [0, 1/2)$ , consider the process $η_{t} : [0, 1/2] \mapsto R$ defined by $η_{t} (s) = Π (t + s) - Π (t)$ , where $Π$ is the directed geodesic from $(0, 0)$ to $(0, 1)$ in the direc…

math.PR2026

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…