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Laplace operators and diffusions in tangent bundles over Poisson spaces

S. Albeverio·A. Daletskii·E. Lytvynov
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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.

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S. Albeverio, A. Daletskii, E. Lytvynov. 2006-08-14. Laplace operators and diffusions in tangent bundles over Poisson spaces. https://arxiv.org/abs/math/0608337

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