Mixed moments and local dimensions of measures

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• 作者：L. Olsen ^{lo@st-and.ac.uk" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Mixed moments of measures ; Local dimension
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2016
• 出版时间：1 September 2016
• 年：2016
• 卷：441
• 期：1
• 页码：45-56
• 全文大小：314 K

文摘

We analyse the asymptotic behaviour of the mixed moments of Borel probability measures on id="mmlsi1" class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022247X16003073&_mathId=si1.gif&_user=111111111&_pii=S0022247X16003073&_rdoc=1&_issn=0022247X&md5=6c31a3d09682dc773038e108d80c3df7" title="Click to view the MathML source">[0,1]^dclass="mathContainer hidden">class="mathCode">i1.gif" overflow="scroll">[0,1]i>di>. 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.