Patterns in sets of positive density in trees and affine buildings

Autor:	Björklund, M., Fish, A., Parkinson, J.
Rok vydání:	2019
Předmět:	Mathematics - Combinatorics 05D10
Druh dokumentu:	Working Paper
Popis:	We prove an analogue for homogeneous trees and certain affine buildings of a result of Bourgain on pinned distances in sets of positive density in Euclidean spaces. Furthermore, we construct an example of a non-homogeneous tree with positive Hausdorff dimension, and a subset with positive density thereof, in which not all sufficiently large (even) distances are realised.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1907.05825 Zobrazit plný text záznamu View this record from Arxiv