2 papers
math.AP2026
Almost sure pointwise convergence for the 2D periodic quintic NLS
Daniel Eceizabarrena, Pablo Merino
We prove probabilistic pointwise convergence to the initial datum for the 2D periodic quintic NLS for data in with . This is an improvement with respect t…
math.AP2026
A pathological set regarding the propagation of almost sure properties of Gaussian measures
Pablo Merino
We provide a complementary result to the quasi-invariance of Gaussian measures supported on Sobolev spaces with high regularity under the dynamics of the three-dimensional periodic…