Laplace operators and diffusions in tangent bundles over Poisson spaces
Probability
2007-05-23 v1 Functional Analysis
Abstract
Spaces of differential forms over configuration spaces with Poisson measures are constructed. The corresponding Laplacians (of Bochner and de Rham type) on 1-forms and associated semigroups are considered. Their probabilistic interpretation is given.
Cite
@article{arxiv.math/0608337,
title = {Laplace operators and diffusions in tangent bundles over Poisson spaces},
author = {S. Albeverio and A. Daletskii and E. Lytvynov},
journal= {arXiv preprint arXiv:math/0608337},
year = {2007}
}