3 citations · 4 across the 10 of their papers we have counts for
4 papers · 1 filter
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…
Reconstructing a minimal topological dynamical system from a set of return times
Kamil Bulinski, Alexander Fish
We investigate to what extent a minimal topological dynamical system is uniquely determined by a set of return times to some open set. We show that in many situations this is indee…
Glasner property for unipotently generated group actions on tori
Kamil Bulinski, Alexander Fish
A theorem of Glasner from 1979 shows that if is infinite then for each there exists an integer such that is -dense…
Quantitative twisted patterns in positive density subsets
Kamil Bulinski, Alexander Fish
We make quantitative improvements to recently obtained results on the structure of the image of a large difference set under certain quadratic forms and other homogeneous polynomia…