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arxiv: chao-dyn/9903024 · v1 · submitted 1999-03-17 · chao-dyn · astro-ph· math-ph· math.MP· nlin.CD

Porosities and dimensions of measures

classification chao-dyn astro-phmath-phmath.MPnlin.CD
keywords measuresdimensionsporositiesclassesconceptconditiondoublingintroduce
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We introduce a concept of porosity for measures and study relations between dimensions and porosities for two classes of measures: measures on $R^n$ which satisfy the doubling condition and strongly porous measures on $R$.

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