On dimension of porous measures

DOI10.1007/s002080100299zbMath1037.28003OpenAlexW2115336341MaRDI QIDQ697375

Stanislav Smirnov, Dmitri B. Beliaev

Publication date: 17 September 2002

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002080100299

zbMATH Keywords

dimensionmean porous measureporous measure

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Hausdorff and packing measures (28A78)

Related Items (9)

Porosity in Conformal Dynamical Systems ⋮ Sublinear measures, Menger curvature, and Hausdorff dimension ⋮ Dimension estimates for the boundary of planar Sobolev extension domains ⋮ Porosities of Mandelbrot percolation ⋮ Porous measures on $\mathbb {R}^{n}$: Local structure and dimensional properties ⋮ Average homogeneity and dimensions of measures ⋮ Packing dimension and Ahlfors regularity of porous sets in metric spaces ⋮ Upper porous measures on metric spaces ⋮ Dynamics of the scenery flow and geometry of measures

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