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Dimension, entropy, and the local distribution of measures

Authors
  • Sahlsten, Tuomas
  • Shmerkin, Pablo
  • Suomala, Ville
Type
Published Article
Publication Date
Sep 26, 2012
Submission Date
Oct 27, 2011
Identifiers
DOI: 10.1112/jlms/jds043
Source
arXiv
License
Yellow
External links

Abstract

We present a general approach to the study of the local distribution of measures on Euclidean spaces, based on local entropy averages. As concrete applications, we unify, generalize, and simplify a number of recent results on local homogeneity, porosity and conical densities of measures.

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