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math.PR2024
Critical threshold for weakly interacting log-correlated focusing Gibbs measures
Damiano Greco, Tadahiro Oh, Liying Tao +1
We study log-correlated Gibbs measures on the -dimensional torus with weakly interacting focusing quartic potentials whose coupling constants tend to as we remove regulariza…
math.PR2024
Quasi-invariance of the Gaussian measure for the two-dimensional stochastic cubic nonlinear wave equation
Justin Forlano, Leonardo Tolomeo
We consider the stochastic damped nonlinear wave equation on the two-dimensional torus $\mathb…