3 citations · 6 across the 4 of their papers we have counts for
4 papers
Solvability of Rado systems in D-sets
Mathias Beiglböck, Vitaly Bergelson, Tomasz Downarowicz +1
Rado's Theorem characterizes the systems of homogenous linear equations having the property that for any finite partition of the positive integers one cell contains a solution to t…
Rigidity of measures invariant under the action of a multiplicative semigroup of polynomial growth on $\T$
Manfred Einsiedler, Alexander Fish
We prove that if a Borel probability measure (μ) on (\T) is invariant under the action of a "large" multiplicative semigroup (lower logarithmic density is positive) and the action…
Polynomial largeness of sumsets and totally ergodic sets
A. Fish
We prove that a sumset of a TE subset of (\N) (these sets can be viewed as "aperiodic" sets) with a set of positive upper density intersects a set of values of any polynomial with…
Ramsey properties of subsets of
A. Fish
We associate ergodic properties to some subsets of the natural numbers. For any given family of subsets of the natural numbers one may study the question of occurrence of certain "…