Dimension, entropy, and the local distribution of measures

Details Dimension, entropy, and the local distribution of measures Dimension, entropy, and the local distribution of measures

2011-10-27

arxiv.org/abs/1110.6011v1

Mathematics

Classical Analysis and ODEs

23 pages, 6 figures

Scientific paper

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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