Mixed moments and local dimensions of measures
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
ISSN
0022-247XType
Journal article
Collections
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