Mixed moments and local dimensions of measures

Lars Ole Ronnow Olsen

doi:10.1016/j.jmaa.2016.03.067

Mixed moments and local dimensions of measures

Lars Ole Ronnow Olsen

Pure Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We analyse the asymptotic behaviour of the mixed moments of Borel probability measures on [0,1]^d. In particular, we prove that the asymptotic behaviour of the mixed moments of a measure is intimately related to the local dimensions of the measure.

Original language	English
Pages (from-to)	45-56
Number of pages	12
Journal	Journal of Mathematical Analysis and Applications
Volume	441
Issue number	1
Early online date	31 Mar 2016
DOIs	https://doi.org/10.1016/j.jmaa.2016.03.067
Publication status	Published - 1 Sept 2016

Keywords

Mixed moments of measures
Local dimension

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© 2016, Elsevier Inc. This work is made available online in accordance with the publisher’s policies. This is the author created, accepted version manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at www.sciencedirect.com / https://dx.doi.org/10.1016/j.jmaa.2016.03.067
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abstract = "We analyse the asymptotic behaviour of the mixed moments of Borel probability measures on [0,1]d. In particular, we prove that the asymptotic behaviour of the mixed moments of a measure is intimately related to the local dimensions of the measure.",

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KW - Local dimension

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DO - 10.1016/j.jmaa.2016.03.067

M3 - Article

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SP - 45

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JO - Journal of Mathematical Analysis and Applications

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ER -

Mixed moments and local dimensions of measures

Abstract

Keywords

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