Rotationally Invariant First passage percolation – Scaling and Chaos

While believed to be in the KPZ universiality class, the lack of an integrable structure has made analysis of first passage percolation particularly challenging. For rotationally invariant first passage percolation on the plane we prove a version of the scaling relations between the passage times fluctuation and transversal fluctuations of geodesics and give the first improvement on the Benjamini, Kalai and Schramm variance bound.

• Speaker: Allan Sly (Princeton)
• Tuesday 05 November 2024, 14:00–15:00
• Venue: MR12.
• Series: Probability; organiser: Perla Sousi.