33 citations · 116 across the 14 of their papers we have counts for
4 papers · 1 filter
Focusing Gibbs measures with harmonic potential
Tristan Robert, Kihoon Seong, Leonardo Tolomeo +1
In this paper, we study the Gibbs measures associated to the focusing nonlinear Schrödinger equation with harmonic potential on Euclidean spaces. We establish a dichotomy for norma…
Hyperbolic -model on the plane
Tadahiro Oh, Leonardo Tolomeo, Yuzhao Wang +1
We study the hyperbolic -model on the plane. By establishing coming down from infinity for the associated stochastic nonlinear heat equation (SNLH) on the plane, we firs…
Yet another notion of irregularity through small ball estimates
Marco Romito, Leonardo Tolomeo
We introduce a new notion of irregularity of paths, in terms of control of growth of the size of small balls by means of the occupation measure of the path. This notion ensures Bes…
Quasi-invariance of Gaussian measures of negative regularity for fractional nonlinear Schrödinger equations
Justin Forlano, Leonardo Tolomeo
We consider the Cauchy problem for the fractional nonlinear Schrödinger equation (FNLS) on the one-dimensional torus with cubic nonlinearity and high dispersion parameter , s…