1 citations · 2 across the 5 of their papers we have counts for
6 papers
Limit theorems for singular Skorohod integrals
Denis Bell, Raul Bolanos, David Nualart
In this paper we prove the convergence in distribution of sequences of Itô and Skorohod integrals with integrands having singular asymptotic behavior. These sequences include stoch…
Noncentral limit theorem for the generalized Rosenblatt process
Denis Bell, David Nualart
We use techniques of Malliavin calculus to study the convergence in law of a family of generalized Rosenblatt processes with kernels defined by parameters taking values i…
The Gauss-Bonnet theorem for vector bundles
Denis Bell
We give a short proof of the Gauss-Bonnet theorem for a real oriented Riemannian vector bundle of even rank over a closed compact orientable manifold . This theorem reduces…
Divergence theorems in path space III: hypoelliptic diffusions and beyond
Denis Bell
Let denote a diffusion process defined on a closed compact manifold. In an earlier article, the author introduced a new approach to constructing admissible vector fields on the…
Quasi-invariant measures on the path space of a diffusion
Denis Bell
The author has previously constructed a class of admissible vector fields on the path space of an elliptic diffusion process taking values in a closed compact manifold. In this…
The Dirichlet problem for superdegenerate differential operators
Denis R. Bell, Salah E. -A. Mohammed
Let be an infinitely degenerate second-order linear operator defined on a bounded smooth Euclidean domain. Under weaker conditions than those of Hörmander, we show that the Dir…