Projection theorems for linear-fractional families of projections

DOI10.1017/s0305004123000373arXiv2112.12274OpenAlexW4385660459WikidataQ122226346 ScholiaQ122226346MaRDI QIDQ6076962

Anton Lukyanenko, Annina Iseli

Publication date: 17 October 2023

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.12274

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Projection and slicing theorems in Heisenberg groups
• Besicovitch-Federer projection theorem and geodesic flows on Riemann surfaces
• Transversality of isotropic projections, unrectifiability, and Heisenberg groups
• Hausdorff dimension, projections, and the Fourier transform
• Restricted families of projections and random subspaces
• Projections of Patterson-Sullivan measures and the dichotomy of Mohammadi-Oh
• The effect of projections on dimension in the Heisenberg group
• Smoothness of projections, Bernoulli convolutions, and the dimension of exceptions
• Marstrand type projection theorems for normed spaces
• Dimensions of projections of sets on Riemannian surfaces of constant curvature
• Introduction to Smooth Manifolds
• On restricted families of projections in ℝ³
• Hausdorff Dimension, Projections, Intersections, and Besicovitch Sets
• Fractals with Positive Length and Zero Buffon Needle Probability
• Hausdorff dimension and the exceptional set of projections
• Hausdorff dimension, orthogonal projections and intersections with planes
• Improved Bounds for Restricted Families of Projections to Planes in ℝ3
• An a.e. lower bound for Hausdorff dimension under vertical projections in the Heisenberg group
• Fourier Analysis and Hausdorff Dimension
• One-dimensional families of projections
• On Hausdorff dimension of projections
• The (φ, k) Rectifiable Subsets of n Space
• Some Fundamental Geometrical Properties of Plane Sets of Fractional Dimensions
• Lie groups beyond an introduction

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