4 papers · 1 filter
Cancellations for dispersive PDEs with random initial data
Yvain Bruned, Leonardo Tolomeo
In this work, we provide a combinatorial formalism for dealing with the cancellations that have appeared recently in the context of dispersive PDEs with random initial data. The ma…
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…
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…
Sharp quasi-invariance threshold for the cubic Szegő equation
James Coe, Leonardo Tolomeo
We consider the 1-dimensional cubic Szegő equation with data distributed according to the Gaussian measure with inverse covariance operator , where $s>\f…