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math.AP2019
On the two-dimensional hyperbolic stochastic sine-Gordon equation
Tadahiro Oh, Tristan Robert, Philippe Sosoe +1
We study the two-dimensional stochastic sine-Gordon equation (SSG) in the hyperbolic setting. In particular, by introducing a suitable time-dependent renormalization for the releva…
math.AP2019
Quasi-invariance of fractional Gaussian fields nonlinear wave equation with polynomial nonlinearity
Philippe Sosoe, William J. Trenberth, Tianhao Xian
We prove quasi-invariance of Gaussian measures with Cameron-Martin space under the flow of the defocusing nonlinear wave equation with polynomial nonlinearities of any…