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- W3213307743 abstract "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." @default.
- W3213307743 created "2021-11-22" @default.
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- W3213307743 date "2021-11-10" @default.
- W3213307743 modified "2023-09-27" @default.
- W3213307743 title "Patterns in sets of positive density in trees and affine buildings" @default.
- W3213307743 doi "https://doi.org/10.4171/ggd/630" @default.
- W3213307743 hasPublicationYear "2021" @default.
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