Spherical recurrence and locally isometric embeddings of trees into positive density subsets of ℤd

DOI10.1017/S0305004117000470zbMath1407.05063arXiv1606.07596OpenAlexW2963519403MaRDI QIDQ4582995

Kamil Bulinski

Publication date: 27 August 2018

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

Full work available at URL: https://arxiv.org/abs/1606.07596

zbMATH Keywords

optimal spherical distribution

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Ergodic theorems, spectral theory, Markov operators (37A30)

Related Items (4)

Density theorems for anisotropic point configurations ⋮ Some open problems on multiple ergodic averages ⋮ Distance graphs and sets of positive upper density in \(\mathbb{R}^d\) ⋮ Distances and trees in dense subsets of \(\mathbb{Z}^d\)

Cites Work

• On distance sets of large sets of integer points
• Ergodic behavior of diagonal measures and a theorem of Szemeredi on arithmetic progressions
• Discrete analogues in harmonic analysis: spherical averages

This page was built for publication: Spherical recurrence and locally isometric embeddings of trees into positive density subsets of ℤ^d