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Porosities and dimensions of measures

Jean-Pierre Eckmann, Esa Jarvenpaa, Maarit Jarvenpaa

chao-dynarXiv:chao-dyn/9903024

Abstract

We introduce a concept of porosity for measures and study relations between dimensions and porosities for two classes of measures: measures on Rn which satisfy the doubling condition and strongly porous measures on R.

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