Higher moments for random multiplicative measures

Kenneth John Falconer

doi:10.4171/JFG/20

Higher moments for random multiplicative measures

Kenneth John Falconer

Pure Mathematics

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Abstract

We obtain a condition for the L^q-convergence of martingales generated by random multiplicative cascade measures for q>1 without any self-similarity requirements on the cascades.

Original language	English
Pages (from-to)	229-247
Number of pages	19
Journal	Journal of Fractal Geometry
Volume	2
Issue number	3
DOIs	https://doi.org/10.4171/JFG/20
Publication status	Published - Aug 2015

Keywords

Multiplicative measures
Cascades
Moments
Random fractals

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10.4171/JFG/20

FalconerHigherMomentsRev
Copyright European Mathematical Society 2015. This is the author accepted manuscript deposited here by kind permission of the publisher.
Accepted author manuscript, 279 KB

Cite this

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title = "Higher moments for random multiplicative measures",

abstract = "We obtain a condition for the Lq-convergence of martingales generated by random multiplicative cascade measures for q>1 without any self-similarity requirements on the cascades.",

keywords = "Multiplicative measures, Cascades, Moments, Random fractals",

author = "Falconer, {Kenneth John}",

year = "2015",

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language = "English",

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KW - Multiplicative measures

KW - Cascades

KW - Moments

KW - Random fractals

UR - http://arxiv.org/abs/1311.0160

UR - https://www.ems-ph.org/journals/show_abstract.php?issn=2308-1309&vol=2&iss=3&rank=1

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DO - 10.4171/JFG/20

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EP - 247

JO - Journal of Fractal Geometry

JF - Journal of Fractal Geometry

IS - 3

ER -

Higher moments for random multiplicative measures

Abstract

Keywords

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