Packing dimension of mean porous measures

We prove that the packing dimension of any mean porous Radon measure on $\mathbb R^d$ may be estimated from above by a function which depends on mean porosity. The upper bound tends to $d-1$ as mean porosity tends to its maximum value. This result was stated in \cite{BS}, and in a weaker form in \ci...

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Bibliographic Details
Main Authors: Beliaev, D, Järvenpää, E, Järvenpää, M, Käenmäki, A, Rajala, T, Smirnov, S, Suomala, V
Format: Journal article
Language:English
Published: 2007

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