A sharp bound on the Hausdorff dimension of the singular set of a uniform measure
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Publication:2406075
DOI10.1007/s00526-017-1206-9zbMath1379.28002arXiv1510.03732OpenAlexW2963742888MaRDI QIDQ2406075
Publication date: 26 September 2017
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1510.03732
Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Spaces of measures, convergence of measures (28A33)
Related Items (3)
Conical \(3\)-uniform measures: a family of new examples and characterizations ⋮ Multiscale analysis of 1-rectifiable measures. II: Characterizations ⋮ On uniform measures in the Heisenberg group
Cites Work
- Geometry of measures in \(R^ n:\) Distribution, rectifiability, and densities
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- On the smoothness of Hölder doubling measures
- Free boundary regularity for harmonic measures and Poisson kernels
- Rectifiable sets, densities and tangent measures
- Boundary structure and size in terms of interior and exterior harmonic measures in higher dimensions
- LOCAL SET APPROXIMATION: MATTILA–VUORINEN TYPE SETS, REIFENBERG TYPE SETS, AND TANGENT SETS
- Uniformly Distributed Measures in Euclidean Spaces
- Singular points of Hölder asymptotically optimally doubling measures
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