Laplace operators and diffusions in tangent bundles over Poisson spaces
classification
🧮 math.PR
math.FA
keywords
spacesformspoissonassociatedbochnerbundlesconfigurationconsidered
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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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