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math.AP2020★ 9 cited
Stochastic quantization of Liouville conformal field theory
Tadahiro Oh, Tristan Robert, Nikolay Tzvetkov +1
We study a nonlinear stochastic heat equation forced by a space-time white noise on closed surfaces, with nonlinearity . This equation corresponds to the stochastic quantiz…
math.AP2020★ 24 cited
Invariant Gibbs dynamics for the dynamical sine-Gordon model
Tadahiro Oh, Tristan Robert, Philippe Sosoe +1
In this note, we study the hyperbolic stochastic damped sine-Gordon equation (SdSG), with a parameter , and its associated Gibbs dynamics on the two-dimensional torus. Aft…