7 citations · 28 across the 31 of their papers we have counts for
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math.CO2021
Arithmetic subtrees in large subsets of products of trees
Kamil Bulinski, Alexander Fish
Furstenberg-Weiss have extended Szemerédi's theorem on arithmetic progressions to trees by showing that a large subset of the tree contains arbitrarily long arithmetic subtrees. We…
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…
math.CO2007
Solvability of linear equations within weak mixing sets
Alexander Fish
We introduce a new class of "random" subsets of natural numbers, WM sets. This class contains normal sets (sets whose characteristic function is a normal binary sequence). We estab…