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Local times and excursion theory for Brownian motion: a tale of Wiener and Itô measures
This monograph discusses the existence and regularity properties of local times associated to a continuous semimartingale, as well as excursion theory for Brownian paths. Realizations of Brownian excursion processes may be translated in terms of the realizations of a Wiener process under certain con...
| Autores principales: | , |
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| Lenguaje: | eng |
| Publicado: |
Springer
2013
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| Materias: | |
| Acceso en línea: | https://dx.doi.org/10.1007/978-3-319-01270-4 http://cds.cern.ch/record/1690662 |
| Sumario: | This monograph discusses the existence and regularity properties of local times associated to a continuous semimartingale, as well as excursion theory for Brownian paths. Realizations of Brownian excursion processes may be translated in terms of the realizations of a Wiener process under certain conditions. With this aim in mind, the monograph presents applications to topics which are not usually treated with the same tools, e.g.: arc sine law, laws of functionals of Brownian motion, and the Feynman-Kac formula. |
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