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http://bura.brunel.ac.uk/handle/2438/24912| Title: | Uniform Hausdorff dimension result for the inverse images of stable Lévy processes |
| Authors: | Song, R Xiao, Y Yang, X |
| Keywords: | Hausdorff dimension;inverse images;stable Lévy processes |
| Issue Date: | 19-Oct-2018 |
| Publisher: | Institute of Mathematical Statistics on behalf of Bernoulli Society for Mathematical Statistics and Probability |
| Citation: | Song, R., Xiao, Y. and Yang, X. (2018) 'Uniform Hausdorff dimension result for the inverse images of stable Lévy processes', Electronic Communications in Probability, 23, 75, pp. 1 - 10. doi: 10.1214/18-ECP180. |
| Abstract: | Copyright © 2018 The Author(s). We establish a uniform Hausdorff dimension result for the inverse image sets of real-valued strictly α-stable Lévy processes with 1 < α ≤ 2. This extends a theorem of Kaufman [11] for Brownian motion. Our method is different from that of [11] and depends on covering principles for Markov processes. |
| URI: | https://bura.brunel.ac.uk/handle/2438/24912 |
| DOI: | https://doi.org/10.1214/18-ECP180 |
| Other Identifiers: | 75 |
| Appears in Collections: | Dept of Mathematics Research Papers |
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