A note on configurations in sets of positive density which occur at all large scales
From MaRDI portal
Publication:498998
DOI10.1007/s11856-015-1187-3zbMath1329.28010arXiv1301.4209OpenAlexW2081409509MaRDI QIDQ498998
Publication date: 29 September 2015
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1301.4209
Lebesgue measureergodic measureupper Banach density\(\delta\)-mild propertymild propertyproperty of measurable setsweak-\(^\ast\) topology
Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) Length, area, volume, other geometric measure theory (28A75)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Distances in positive density sets in \(\mathbb R^d\)
- A Szemerédi type theorem for sets of positive density in \(\mathbb R^k\)
- Topological dynamics and combinatorial number theory
- An ergodic Szemerédi theorem for commuting transformations
- On partitions of \(\mathbb E^n\)
- Ergodic behavior of diagonal measures and a theorem of Szemeredi on arithmetic progressions
- Pointwise theorems for amenable groups.
- An application of ergodic theory to a problem in geometric Ramsey theory
- Plane Sets with Positive Density at Infinity Contain all Large Distances
- A Combinatorial Application of the Maximal Ergodic Theorem
- Polynomial extensions of van der Waerden’s and Szemerédi’s theorems
- Measurable sets with excluded distances
- Lectures on Choquet's theorem