4 papers
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…
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…
Maximum power heat engines and refrigerators in the fast-driving regime
Vasco Cavina, Paolo A. Erdman, Paolo Abiuso +2
We study the optimization of the performance of arbitrary periodically driven thermal machines. Within the assumption of fast modulation of the driving parameters, we derive the op…
A dichotomy concerning uniform boundedness of Riesz transforms on Riemannian manifolds
Alex Amenta, Leonardo Tolomeo
Given a sequence of complete Riemannian manifolds of the same dimension, we construct a complete Riemannian manifold such that for all the -norm…