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Generalized dimensions of images of measures under Gaussian processes
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dc.contributor.author | Falconer, Kenneth | |
dc.contributor.author | Xiao, Yimin | |
dc.date.accessioned | 2014-01-08T15:01:01Z | |
dc.date.available | 2014-01-08T15:01:01Z | |
dc.date.issued | 2014-02-15 | |
dc.identifier | 13166333 | |
dc.identifier | 4d6318c3-9f78-4674-8557-012cf820dba1 | |
dc.identifier | 84889603022 | |
dc.identifier | 000330153100018 | |
dc.identifier.citation | Falconer , K & Xiao , Y 2014 , ' Generalized dimensions of images of measures under Gaussian processes ' , Advances in Mathematics , vol. 252 , pp. 492-517 . https://doi.org/10.1016/j.aim.2013.11.002 | en |
dc.identifier.issn | 0001-8708 | |
dc.identifier.other | ArXiv: http://arxiv.org/abs/1212.2383v1 | |
dc.identifier.other | ArXiv: http://arxiv.org/abs/1212.2383v1 | |
dc.identifier.other | ORCID: /0000-0001-8823-0406/work/58055258 | |
dc.identifier.uri | https://hdl.handle.net/10023/4319 | |
dc.description | 26 pages | en |
dc.description.abstract | We show that for certain Gaussian random processes and fields X:RN→Rd, Dq(μx) = min {d, 1/α Dq (μ)} a.s., for an index α which depends on Hölder properties and strong local nondeterminism of X, where q>1, where Dq denotes generalized q-dimension μX is the image of the measure μ under X. In particular this holds for index-α fractional Brownian motion, for fractional Riesz–Bessel motions and for certain infinity scale fractional Brownian motions. | |
dc.format.extent | 26 | |
dc.format.extent | 400405 | |
dc.language.iso | eng | |
dc.relation.ispartof | Advances in Mathematics | en |
dc.subject | Gaussian process | en |
dc.subject | Local nondeterminism | en |
dc.subject | Generalised dimension | en |
dc.subject | Fractional Brownian | en |
dc.subject | QA Mathematics | en |
dc.subject | BDC | en |
dc.subject | R2C | en |
dc.subject.lcc | QA | en |
dc.title | Generalized dimensions of images of measures under Gaussian processes | en |
dc.type | Journal article | en |
dc.contributor.institution | University of St Andrews. Pure Mathematics | en |
dc.identifier.doi | 10.1016/j.aim.2013.11.002 | |
dc.description.status | Peer reviewed | en |
dc.identifier.url | http://arxiv.org/pdf/1212.2383.pdf | en |
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