On the Laws of Total Local Times for -Paths and Bridges of Symmetric Lévy Processes
The joint law of the total local times at two levels for -paths of symmetric Lévy processes is shown to admit an explicit representation in terms of the laws of the squared Bessel processes of dimensions two and zero. The law of the total local time at a single level for bridges is also discussed.
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| Published in | Abstract and applied analysis Vol. 2013; pp. 1 - 12 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Hindawi Limited
2013
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| Online Access | Get full text |
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| Summary: | The joint law of the total local times at two levels for -paths of symmetric Lévy processes is shown to admit an explicit representation in terms of the laws of the squared Bessel processes of dimensions two and zero. The law of the total local time at a single level for bridges is also discussed. |
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| ISSN: | 1085-3375 1687-0409 |
| DOI: | 10.1155/2013/463857 |