Configuration sets with nonempty interior
From MaRDI portal
Publication:2050517
DOI10.1007/s12220-019-00288-yzbMath1472.35470arXiv1907.12513OpenAlexW2976489408WikidataQ127189456 ScholiaQ127189456MaRDI QIDQ2050517
Allan Greenleaf, Krystal Taylor, Alexander Iosevich
Publication date: 31 August 2021
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.12513
Related Items (13)
Obtaining an explicit interval for a nonlinear Newhouse thickness theorem ⋮ On k ‐point configuration sets with nonempty interior ⋮ Dimension and measure of sums of planar sets and curves ⋮ On the Mattila–Sjölin distance theorem for product sets ⋮ A Mattila-Sjölin theorem for triangles ⋮ Finite point configurations in products of thick Cantor sets and a robust nonlinear Newhouse Gap Lemma ⋮ Falconer type functions in three variables ⋮ Mattila-Sjölin type functions: a finite field model ⋮ Nonempty interior of configuration sets via microlocal partition optimization ⋮ Unnamed Item ⋮ Cycles of arbitrary length in distance graphs on \(\mathbb{F}_q^d\) ⋮ Volumes spanned by \(k\)-point configurations in \(\mathbb{R}^d\) ⋮ Reviews
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Finite configurations in sparse sets
- Finite chains inside thin subsets of \(\mathbb{R}^d\)
- On point-line incidences in vector spaces over finite fields
- On polynomial configurations in fractal sets
- Distinct distances between points and lines in \(\mathbb{F}_q^2\)
- Near peak scattering and the corrected Kirchhoff approximation for a convex obstacle
- Hilbert integrals, singular integrals, and Radon transforms. I
- Wave front sets, local smoothing and Bourgain's circular maximal theorem
- Spherical means on Riemannian manifolds
- Pointwise ergodic theorems for radial averages on the Heisenberg group
- On necklaces inside thin subsets of \(\mathbb{R}^d\)
- Singular spherical maximal operators on a class of two step nilpotent Lie groups
- On Falconer's distance set problem in the plane
- Multilinear generalized Radon transforms and point configurations
- The Radon transform on Euclidean spaces, compact two-point homogeneous spaces and Grassmann manifolds
- Fourier integral operators. I
- Pinned distance problem, slicing measures, and local smoothing estimates
- On the Mattila-Sjölin theorem for distance sets
- On the Hausdorff dimensions of distance sets
- Some Problems in Integral Geometry and Some Related Problems in Micro-Local Analysis
- Regularity of Distance Measures and Sets
- Fourier integral operators with fold singularities.
- Distances from points to planes
- Incidences between planes over finite fields
- Interior of sums of planar sets and curves
- Fourier Analysis and Hausdorff Dimension
- On Matrices Whose Real Linear Combinations are Nonsingular
- Weighted restriction estimates and application to Falconer distance set problem
This page was built for publication: Configuration sets with nonempty interior
