Dimension, entropy, and the local distribution of measures

Sahlsten, T, Shmerkin, P and Suomala, V (2011) Dimension, entropy, and the local distribution of measures arXiv.

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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.

Item Type:	Article
Authors :	Name Email ORCID Sahlsten, T Shmerkin, P p.shmerkin@surrey.ac.uk Suomala, V
Date :	27 October 2011
Related URLs :	Author
Depositing User :	Symplectic Elements
Date Deposited :	17 May 2017 12:19
Last Modified :	16 Jan 2019 18:29
URI:	http://epubs.surrey.ac.uk/id/eprint/834867

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