22 citations · 52 across the 14 of their papers we have counts for
4 papers · 2 filters
Powers of sequences and recurrence
Nikos Frantzikinakis, Emmanuel Lesigne, Mate Wierdl
We study recurrence, and multiple recurrence, properties along the -th powers of a given set of integers. We show that the property of recurrence for some given values of do…
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…
Mild mixing property for special flows under piecewise constant functions
K. Fraczek, M. Lemanczyk, E. Lesigne
We give a condition on a piecewise constant roof function and an irrational rotation by on the circle to give rise to a special flow having the mild mixing property. Such flows…