M. Wierdl

activity

20052009

most citedPowers of sequences and convergence of ergodic averages

1 citations · 1 across the 4 of their papers we have counts for

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3 papers · 1 filter

math.DS2009

Almost-Everywhere Convergence and Polynomials

Michael Boshernitzan, Mate Wierdl

Denote by $Γ$ the set of pointwise good sequences. Those are sequences of real numbers $(a_{k})$ such that for any measure preserving flow $(U_{t})_{t \in R}$ on a probability s…

math.DS2008★ 1 cited

Powers of sequences and convergence of ergodic averages

Nikos Frantzikinakis, Michael Johnson, Emmanuel Lesigne +1

A sequence $(s_{n})$ of integers is good for the mean ergodic theorem if for each invertible measure preserving system $(X, B, μ, T)$ and any bounded measurable function $f$ ,…

math.DS2005

Sets of k-recurrence but not (k+1)-recurrence

N. Frantzikinakis, E. Lesigne, M. Wierdl

For every $k \in N$ , we produce a set of integers which is $k$ -recurrent but not $(k + 1)$ -recurrent. This extends a result of Furstenberg who produced a 1-recurrent set whic…