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Decompositions of log-correlated fields with applications

Vienna Probability Seminar

Date: Tuesday, April 9, 2019 17:00 - 18:00
Speaker: Eero Saksman (University of Helsinki)
Location: Uni Wien, HS 11, 2. OG, OMP 1
Series: Mathematics and CS Seminar
Host: M. Beiglböck, N. Berestycki, L. Erdös, J. Maas
Contact: Uni Wien

Abstract:

We consider a simple idea to decompose of log-correlated Gaussian fields into two-parts, both of which behave well in 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. Talk is based on joint work with Janne Junnila (EPFL) and Christian Webb (Aalto University).

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