Dimension, entropy and the local distribution of measures

Tuomas Sahlsten, Pablo Shmerkin, Ville Suomala

Research output: Contribution to journalArticleScientificpeer-review

8 Citations (Scopus)

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.
Original languageEnglish
JournalJournal of the London Mathematical Society
DOIs
Publication statusPublished - Feb 2013
MoE publication typeA1 Journal article-refereed

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