351 citations · 1.1k across the 47 of their papers we have counts for
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Review on the probabilistic construction and Conformal bootstrap in Liouville Theory
Colin Guillarmou, Antti Kupiainen, Rémi Rhodes
In the paper, we review the recent construction of the Liouville conformal field theory (CFT) from probabilistic methods, and the formalization of the conformal bootstrap. This mod…
Compactified Imaginary Liouville Theory
Colin Guillarmou, Antti Kupiainen, Rémi Rhodes
On a given Riemann surface, we construct a path integral based on the Liouville action functional with imaginary parameters. The construction relies on the compactified Gaussian Fr…
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…
Constructive Liouville Conformal Field Theory
Antti Kupiainen
These lectures give an introduction to a probabilistic approach to Liouville Quantum Field Theory developed in a joint work with F. David, R. Rhodes and V. Vargas.
Renormalization of Generalized KPZ equation
Antti Kupiainen, Matteo Marcozzi
We use Renormalization Group to prove local well posedness for a generalized KPZ equation introduced by H. Spohn in the context of stochastic hydrodynamics. The equation requires t…
Towards rigorous analysis of the Levitov-Mirlin-Evers recursion
Yan. V. Fyodorov, Antti Kupiainen, Christian Webb
This paper aims to develop a rigorous asymptotic analysis of an approximate renormalization group recursion for inverse participation ratios of critical powerlaw random band…