Dimension, entropy, and the local distribution of measures
classification
🧮 math.CA
math.DS
keywords
localmeasuresdistributionentropyapplicationsapproachaveragesconcrete
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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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