Abstract: We consider fusion estimates in Gaussian multiplicative chaos, namely the study of negative moments of chaos measure integrated against merging singularities. In the context of Liouville conformal field theory, this is related to the fusion behaviour of Liouville correlation functions, which according to the KPZ conjecture describes the distribution of points sampled from large random planar maps. In the four-point case we are able to obtain first order asymptotics in terms of DOZZ constants, which is consistent with the predictions from conformal bootstrap. This is based on a joint work with Guillaume Baverez.
Fusion estimates in Gaussian multiplicative chaos
20.11.2018 17:00 - 18:00
Organiser:
M. Beiglböck, N. Berestycki, L. Erdös, J. Maas
Location: