10 citations · 16 across the 6 of their papers we have counts for
14 papers
Gaussian approximation on the Skorokhod space via Malliavin calculus and regularization
Solesne Bourguin, Simon Campese
We introduce a carré du champ operator for Banach-valued random elements, taking values in the projective tensor product, and use it to control the bounded Lipschitz distance betwe…
A Caveat on Metrizing Convergence in Distribution on Hilbert Spaces
Federico Bassetti, Solesne Bourguin, Simon Campese +1
We consider Sobolev-type distances on probability measures over separable Hilbert spaces involving the Schatten- norms, which include as special cases a distance first introduce…
Limit theorems for general functionals of Brownian local times
Simon Campese, Nicolas Lengert, Mark Podolskij
In this paper, we present the asymptotic theory for integrated functions of increments of Brownian local times in space. Specifically, we determine their first-order limit, along w…
Functional Gaussian approximations on Hilbert-Poisson spaces
Solesne Bourguin, Simon Campese, Thanh Dang
We develop a functional Stein-Malliavin method in a non-diffusive Poissonian setting, thus obtaining a) quantitative central limit theorems for approximation of arbitrary non-degen…
Approximation of Hilbert-valued Gaussians on Dirichlet structures
Solesne Bourguin, Simon Campese
We introduce a framework to derive quantitative central limit theorems in the context of non-linear approximation of Gaussian random variables taking values in a separable Hilbert…
Continuous Breuer-Major theorem: tightness and non-stationarity
Simon Campese, Ivan Nourdin, David Nualart
Let be a zero-mean Gaussian stationary process with covariance function satisfying . Let be a sq…