7 citations · 28 across the 31 of their papers we have counts for
5 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…
On almost Cap sets in three variables and the multivariable Cap set problem
Alexander Fish, Dibyendu Roy
In this note we prove that almost cap sets , i.e., the subsets of that do not contain too many arithmetic progressions of length three, s…
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…