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math.DS2019
Sets of transfer times with small densities
Michael Björklund, Alexander Fish, Ilya D. Shkredov
We consider in this paper the set of transfer times between two measurable subsets of positive measures in an ergodic probability measure-preserving system of a countable abelian g…
math.CO2019
Patterns in sets of positive density in trees and affine buildings
M. Björklund, A. Fish, J. Parkinson
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…