Abstract for the talk on 04.10.2022 (15:15 h)

Oberseminar ANALYSIS - PROBABILITY

Patrik Ferrari (University of Bonn)
Space-time correlations in the KPZ universality class

We consider models in the Kardar-Parisi-Zhang universality class of stochastic growth models in one spatial dimension. We study the correlations in space and time of the height function. In particular we present results on the decay of correlations of the spatial limit processes and on the universality of the first order of the covariance at macroscopically close times.