7 citations · 28 across the 31 of their papers we have counts for
4 papers · 2 filters
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…
Equidistribution of Dilations of Polynomial Curves in Nilmanifolds
Michael Björklund, Alexander Fish
In this paper we study the asymptotic behaviour under dilations of probability measures supported on polynomial curves in nilmanifolds. We prove, under some mild conditions, effect…
Continuous Measures on Homogenous Spaces
Michael Björklund, Alexander Fish
In this paper we generalize Wiener's characterization of continuous measures to compact homogenous manifolds. In particular, we give necessary and sufficient conditions on probabil…
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…