Mixed moments and local dimensions of measures

Olsen, Lars Ole Ronnow

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Date

01/09/2016

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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.

Citation

Olsen , L O R 2016 , ' Mixed moments and local dimensions of measures ' , Journal of Mathematical Analysis and Applications , vol. 441 , no. 1 , pp. 45-56 . https://doi.org/10.1016/j.jmaa.2016.03.067

Publication

Journal of Mathematical Analysis and Applications

Status

Peer reviewed

DOI

https://doi.org/10.1016/j.jmaa.2016.03.067

ISSN

0022-247X

Type

Journal article

Rights

© 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

Collections

University of St Andrews Research

URI

http://hdl.handle.net/10023/10568