Probability and Mathematical Physics Seminar

Decompositions of log-correlated fields with applications

Speaker: Eero Saksman, University of Helsinki

Location: Warren Weaver Hall 1302

Date: Friday, November 15, 2019, noon


We consider a simple idea to decompose log-correlated Gaussian fields into two parts, both of which behave well in a suitable sense. Applications include Onsager type inequalities in all dimensions, analytic dependence and existence of critical chaos measures for a large class of log-correlated fields. The talk is based on joint work with Janne Junnila (EPFL) and Christian Webb (Aalto University).