Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/24911
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dc.contributor.authorYang, X-
dc.date.accessioned2022-07-15T07:42:31Z-
dc.date.available2022-07-15T07:42:31Z-
dc.date.issued2017-08-22-
dc.identifier.citationYang, X. (2018) 'Hausdorff Dimension of the Range and the Graph of Stable-Like Processes', Journal of Theoretical Probability, 31 (4), pp. 2412 - 2431. doi: 10.1007/s109.59-017-0784-y.en_US
dc.identifier.issn0894-9840-
dc.identifier.urihttps://bura.brunel.ac.uk/handle/2438/24911-
dc.descriptionManuscript available at https://doi.org/10.48550/arXiv.1509.08759 [math.PR], 16 pages, accepted by Journal of Theoretical Probability.-
dc.description.abstractWe determine the Hausdorff dimension for the range of a class of pure jump Markov processes in Rd, which turns out to be random and depends on the trajectories of these processes. The key argument is carried out through the SDE representation of these processes. The method developed here also allows to compute the Hausdorff dimension for the graph.en_US
dc.description.sponsorshipRégion Ile-de-France.en_US
dc.format.extent2412 - 2431-
dc.format.mediumPrint-Electronic-
dc.language.isoen_USen_US
dc.publisherSpringer Science+Business Mediaen_US
dc.relation.urihttps://doi.org/10.48550/arXiv.1509.08759-
dc.rightsThis version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: https://doi.org/10.1007/s10959-017-0784-y.-
dc.rights.urihttps://www.springernature.com/gp/open-research/policies/journal-policies-
dc.subjectMarkov processesen_US
dc.subjectLévy processesen_US
dc.subjectHausdorff dimensionen_US
dc.titleHausdorff Dimension of the Range and the Graph of Stable-Like Processesen_US
dc.typeArticleen_US
dc.identifier.doihttps://doi.org/10.1007/s10959-017-0784-y-
dc.relation.isPartOfJournal of Theoretical Probability-
pubs.issue4-
pubs.publication-statusPublished-
pubs.volume31-
dc.identifier.eissn1572-9230-
dc.rights.holderSpringer Science+Business Media-
Appears in Collections:Dept of Mathematics Research Papers

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