Geometry of measures in real dimensions via Hölder parameterizations
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Publication:2419728
DOI10.1007/s12220-018-0034-2zbMath1481.28006arXiv1706.07846OpenAlexW3100653382MaRDI QIDQ2419728
Publication date: 14 June 2019
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1706.07846
Assouad dimensionHausdorff densitiesgeneralized rectifiabilitygeometry of measuresuniformly disconnected setsHölder parameterization
Lipschitz (Hölder) classes (26A16) Length, area, volume, other geometric measure theory (28A75) Geometric embeddings of metric spaces (30L05)
Related Items (9)
Fractal percolation is unrectifiable ⋮ Generalized rectifiability of measures and the identification problem ⋮ Box-counting by Hölder's traveling salesman ⋮ Subsets of rectifiable curves in Banach spaces. I: Sharp exponents in traveling salesman theorems ⋮ Identifying 1-rectifiable measures in Carnot groups ⋮ Sufficient conditions for C^1,α parametrization and rectifiability ⋮ Hölder parameterization of iterated function systems and a self-affine phenomenon ⋮ Uniformization of Cantor sets with bounded geometry ⋮ Radon measures and Lipschitz graphs
Cites Work
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- On the structure of continua with finite length and Gołąb's semicontinuity theorem
- Multiscale analysis of 1-rectifiable measures. II: Characterizations
- Geometry of measures in \(R^ n:\) Distribution, rectifiability, and densities
- Rectifiable sets and the traveling salesman problem
- Characterization of \(n\)-rectifiability in terms of Jones' square function. II
- Catching sets with quasicircles
- Mapping \(\mathbf Z^r\) into \(\mathbf Z^s\) with maximal contraction
- Lectures on analysis on metric spaces
- Bi-Lipschitz embedding of the generalized Grushin plane into Euclidean spaces
- An analyst's traveling salesman theorem for sets of dimension larger than one
- Smooth quasiregular mappings with branching
- Reifenberg flat metric spaces, snowballs, and embeddings
- Effective Reifenberg theorems in Hilbert and Banach spaces
- Multiscale analysis of 1-rectifiable measures: necessary conditions
- Two sufficient conditions for rectifiable measures
- Reifenberg parameterizations for sets with holes
- Hausdorff measures, Hölder continuous maps and self-similar fractals
- A doubling measure on $\mathbb {R}^d$ can charge a rectifiable curve
- Plongements lipschitziens dans ${\bbfR}\sp n$
- k-Dimensional Regularity Classifications for s-Fractals
- Hausdorff Two-Dimensional Measure in 3-Space
- Quasi-Symmetric Embeddings in Euclidean Spaces
- On the parametrization of self-similar and other fractal sets
- Quasisymmetric extension on the real line
- Characterization of Subsets of Rectifiable Curves in R n
- Sufficient conditions for C^1,α parametrization and rectifiability
- Hausdorff m Regular and Rectifiable Sets in n-Space
- Rectifiability via a Square Function and Preiss’ Theorem
- The (φ, k) Rectifiable Subsets of n Space
- Some Fundamental Geometrical Properties of Plane Sets of Fractional Dimensions
- The φ Rectifiable Subsets of the Plane
- On the fundamental geometrical properties of linearly measurable plane sets of points. II
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