Showing math.PRShow all
2 papers · 1 filter
math.PR2025
Convergence of exclusion processes and KPZ equation to the KPZ fixed point
Jeremy Quastel, Sourav Sarkar
We show that under the 1:2:3 scaling, critically probing large space and time, the height function of finite range asymmetric exclusion processes and the KPZ equation converge to t…
math.PR2024
Three-halves variation of geodesics in the directed landscape
Duncan Dauvergne, Sourav Sarkar, Bálint Virág
We show that geodesics in the directed landscape have -variation and that weight functions along the geodesics have cubic variation. We show that the geodesic and its landscap…