Porosities and dimensions of measures

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Jarvenpaa = J\"arvenp\"a\"a

Scientific paper

10.1088/0951-7715/13/1/301

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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