10 citations · 16 across the 6 of their papers we have counts for
4 papers · 1 filter
Fourth Moment Theorems for complex Gaussian approximation
Simon Campese
We prove a bound for the Wasserstein distance between vectors of smooth complex random variables and complex Gaussians in the framework of complex Markov diffusion generators. For…
Multivariate Gaussian approximations on Markov chaoses
Simon Campese, Ivan Nourdin, Giovanni Peccati +1
We prove a version of the multidimensional Fourth Moment Theorem for chaotic random vectors, in the general context of diffusion Markov generators. In addition to the usual compone…
Approximate Normality of High-Energy Hyperspherical Eigenfunctions
Simon Campese, Domenico Marinucci, Maurizia Rossi
The Berry heuristic has been a long standing \emph{ansatz} about the high energy (i.e. large eigenvalues) behaviour of eigenfunctions (see Berry 1977). Roughly speaking, it states…
A limit theorem for moments in space of the increments of Brownian local time
Simon Campese
We proof a limit theorem for moments in space of the increments of Brownian local time. As special cases for the second and third moments, previous results by Chen et al. (Ann. Pro…