English

Laplace operators on differential forms over configuration spaces

Probability 2015-06-26 v1 Mathematical Physics math.MP

Abstract

Spaces of differential forms over configuration spaces with Poisson measures are constructed. The corresponding Laplacians (of Bochner and de Rham type) on forms and associated semigroups are considered. Their probabilistic interpretation is given.

Keywords

Cite

@article{arxiv.math/0608349,
  title  = {Laplace operators on differential forms over configuration spaces},
  author = {S. Albeverio and A. Daletskii and E. Lytvynov},
  journal= {arXiv preprint arXiv:math/0608349},
  year   = {2015}
}