3 papers
math-ph2024
Small deviations of Gaussian multiplicative chaos and the free energy of the two-dimensional massless Sinh--Gordon model
Nikolay Barashkov, Joona Oikarinen, Mo Dick Wong
We prove a global decomposition result for -correlated Gaussian fields on the -dimensional torus and use this to derive new small deviations bounds for a class of Gaussian…
math-ph2019
Stress-Energy in Liouville Conformal Field Theory
Antti Kupiainen, Joona Oikarinen
We construct the stress-energy tensor correlation functions in probabilistic Liouville Conformal Field Theory (LCFT) on the two-dimensional sphere by studying the variation of the…
math-ph2018
Smoothness of correlation functions in Liouville Conformal Field Theory
Joona Oikarinen
In this article we prove smoothness of the correlation functions in probabilistic Liouville Conformal Field Theory. Our result is a step towards proving that the correlation functi…