Room 505, Cosmology Building, NTU
(臺灣大學次震宇宙館 505室)
A Variational Formula for Upper Tail Large Deviations and its Related Topics in First-Passage Percolation
Shuta Nakajima (Keio University)
Abstract
We consider first passage percolation with identical and independent weight distributions. In this talk, 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.
Organizers: Wai-Kit Lam (NTU), Jhih-Huang Li (NTU)