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dc.contributor.author |
Rudenko, A.V. |
|
dc.date.accessioned |
2009-11-19T14:00:08Z |
|
dc.date.available |
2009-11-19T14:00:08Z |
|
dc.date.issued |
2007 |
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dc.identifier.citation |
Local time as an element of the Sobolev space / A.V. Rudenko // Theory of Stochastic Processes. — 2007. — Т. 13 (29), № 3. — С. 65–79. — Бібліогр.:12 назв.— англ. |
en_US |
dc.identifier.issn |
0321-3900 |
|
dc.identifier.uri |
http://dspace.nbuv.gov.ua/handle/123456789/4508 |
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dc.description.abstract |
For a centered Gaussian random ?eld taking its values in R^d, we investigate the existence of a local time as a generalized functional, i.e an element of some Sobolev space. We give the sfficient condition for such an existence in terms of the field covariation and apply it in several examples: the self-intersection local time for a fractional Brownian motion and the intersection local time for two Brownian motions. |
en_US |
dc.description.sponsorship |
Research was partially supported by the Ministry of Education and Science of Ukraine, project GP/F13/0095. |
en_US |
dc.language.iso |
en |
en_US |
dc.publisher |
Інститут математики НАН України |
en_US |
dc.title |
Local time as an element of the Sobolev space |
en_US |
dc.type |
Article |
en_US |
dc.status |
published earlier |
en_US |
dc.identifier.udc |
519.21 |
|
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