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http://bura.brunel.ac.uk/handle/2438/24911| Title: | Hausdorff Dimension of the Range and the Graph of Stable-Like Processes |
| Authors: | Yang, X |
| Keywords: | Markov processes;Lévy processes;Hausdorff dimension |
| Issue Date: | 22-Aug-2017 |
| Publisher: | Springer Science+Business Media |
| Citation: | Yang, 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. |
| Abstract: | We 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. |
| Description: | Manuscript available at https://doi.org/10.48550/arXiv.1509.08759 [math.PR], 16 pages, accepted by Journal of Theoretical Probability. |
| URI: | https://bura.brunel.ac.uk/handle/2438/24911 |
| DOI: | https://doi.org/10.1007/s10959-017-0784-y |
| ISSN: | 0894-9840 |
| Appears in Collections: | Dept of Mathematics Research Papers |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| FullText.pdf | This 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. | 231.1 kB | Adobe PDF | View/Open |
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