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math.AP2021
On the unique ergodicity for a class of 2 dimensional stochastic wave equations
Justin Forlano, Leonardo Tolomeo
We study the global-in-time dynamics for a stochastic semilinear wave equation with cubic defocusing nonlinearity and additive noise, posed on the -dimensional torus. The noise…
math.AP2021
Transport of Gaussian measures under the flow of one-dimensional fractional nonlinear Schrödinger equations
Justin Forlano, Kihoon Seong
We study the transport property of Gaussian measures on Sobolev spaces of periodic functions under the dynamics of the one-dimensional cubic fractional nonlinear Schrödinger equati…