14 citations · 14 across the 4 of their papers we have counts for
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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…
Intersective polynomials and polynomial Szemeredi theorem
Vitaly Bergelson, Alexander Leibman, Emmanuel Lesigne
Let $P=\{p_{1},\ld,p_{r}\}\subset\Q[n_{1},\ld,n_{m}]$ be a family of polynomials such that $p_{i}(\Z^{m})\sle\Z$, $i=1,\ld,r$. We say that the family has {\it PSZ property} if…
Van der Corput sets in Z^d
Vitaly Bergelson, Emmanuel Lesigne
In this partly expository paper we study van der Corput sets in , with a focus on connections with harmonic analysis and recurrence properties of measure preserving dynamical…
Weakly mixing group actions: a brief survey and an example
Vitaly Bergelson, Alexander Gorodnik
The first part of the paper contains a survey of weakly mixing group actions of general group, and the second part discusses a special example of a weakly mixing action -- the SL(2…