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Lévy processes and Jacobi fields | Eugene Lytvynov
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22 Jul 2004 | Subject: | Probability; Functional Analysis MSC-class: 60G51; 60G57; 60H40 | math.PR math.FA | Abstract: | We review the recent results on the Jacobi field of a (real-valued) Lévy process defined on a Riemannian manifold. In the case where the Lévy process is neither Gaussian, nor Poisson, the corresponding Jacobi field acts in an extended Fock space. We also give a unitary equivalent representation of the Jacobi field in a usual Fock space. This representation is inspired by a result by Accardi, Franz, and Skeide (2002). | Source: | arXiv, math.PR/0407377 | Services: | Forum | Review | PDF | Favorites |
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