Shuta Nakajima, Basel: A variational formula for large deviations in first-passage percolation under tail estimates (Oberseminar Mathematische Stochastik)
Wednesday, 01.12.2021 17:00
We consider first passage percolation with identical and independent weight distributions. In this paper, we study the upper tail large deviations under a tail assumption on the distribution. We prove that the corresponding rate function is described by the so-called discrete p-Capacity, and we study its asymptotic. The talk is based on joint work with Clement Cosco.