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Intermediate dimension of images of sequences under fractional Brownian motion
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dc.contributor.author | Falconer, Kenneth John | |
dc.date.accessioned | 2022-11-05T00:41:36Z | |
dc.date.available | 2022-11-05T00:41:36Z | |
dc.date.issued | 2022-03 | |
dc.identifier | 276421510 | |
dc.identifier | 550c51ac-4943-4c42-98d8-430875f744af | |
dc.identifier | 85119171800 | |
dc.identifier | 000744244300010 | |
dc.identifier.citation | Falconer , K J 2022 , ' Intermediate dimension of images of sequences under fractional Brownian motion ' , Statistics and Probability Letters , vol. 182 , 109300 . https://doi.org/10.1016/j.spl.2021.109300 | en |
dc.identifier.issn | 0167-7152 | |
dc.identifier.other | ORCID: /0000-0001-8823-0406/work/103510892 | |
dc.identifier.uri | https://hdl.handle.net/10023/26304 | |
dc.description.abstract | We show that the almost sure θ-intermediate dimension of the image of the set Fp ={0, 1,1/2p,1/3p,...} under index-h fractional Brownian motion is θ/(ph+θ), a value that is smaller than that given by directly applying the Hölder bound for fractional Brownian motion. In particular this establishes the box-counting dimension of these images. | |
dc.format.extent | 6 | |
dc.format.extent | 230339 | |
dc.language.iso | eng | |
dc.relation.ispartof | Statistics and Probability Letters | en |
dc.subject | Fractional Brownian motion | en |
dc.subject | Fractal | en |
dc.subject | Intermediate dimension | en |
dc.subject | Hausdorff dimension | en |
dc.subject | Box-counting dimension | en |
dc.subject | QA Mathematics | en |
dc.subject | T-NDAS | en |
dc.subject.lcc | QA | en |
dc.title | Intermediate dimension of images of sequences under fractional Brownian motion | en |
dc.type | Journal article | en |
dc.contributor.institution | University of St Andrews. Pure Mathematics | en |
dc.identifier.doi | https://doi.org/10.1016/j.spl.2021.109300 | |
dc.description.status | Peer reviewed | en |
dc.date.embargoedUntil | 2022-11-05 | |
dc.identifier.url | https://arxiv.org/abs/2108.12306 | en |
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