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math.PR2019
The semiclassical limit of Liouville conformal field theory
Hubert Lacoin, Rémi Rhodes, Vincent Vargas
A rigorous probabilistic construction of Liouville conformal field theory (LCFT) on the Riemann sphere was recently given by David-Kupiainen and the last two authors. In this paper…
math.PR2019★ 15 cited
A probabilistic approach of ultraviolet renormalisation in the boundary Sine-Gordon model
Hubert Lacoin, Rémi Rhodes, Vincent Vargas
The Sine-Gordon model is obtained by tilting the law of a log-correlated Gaussian field defined on a subset of by the exponential of its cosine, namely $\exp(α\s…