L\'evy processes and Jacobi fields
Probability
2007-05-23 v2 Functional Analysis
Abstract
We review the recent results on the Jacobi field of a (real-valued) L\'evy process defined on a Riemannian manifold. In the case where the L\'evy 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).
Keywords
Cite
@article{arxiv.math/0407377,
title = {L\'evy processes and Jacobi fields},
author = {Eugene Lytvynov},
journal= {arXiv preprint arXiv:math/0407377},
year = {2007}
}