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20042026
most citedErgodic averages of commuting transformations with distinct degree polynomial iterates

39 citations · 166 across the 41 of their papers we have counts for

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Showing 2010Show all

3 papers · 1 filter

math.DS2010

Random Sequences and Pointwise Convergence of Multiple Ergodic Averages

Nikos Frantzikinakis, Emmanuel Lesigne, Mate Wierdl

We prove pointwise convergence, as , for the multiple ergodic averages , where and are commuting measure pres…

math.DS2010★ 4 cited

The polynomial multidimensional Szemerédi Theorem along shifted primes

Nikos Frantzikinakis, Bernard Host, Bryna Kra

If $\vf_1, ... \vf_m\colon\Z\to\Z^\ell$ are polynomials with zero constant terms and has positive upper Banach density, then we show that the set $E\cap (E-\vf_1(…

math.DS2010★ 1 cited

Pointwise convergence for cubic and polynomial ergodic averages of non-commuting transformations

Qing Chu, Nikos Frantzikinakis

We study the limiting behavior of multiple ergodic averages involving several not necessarily commuting measure preserving transformations. We work on two types of averages, one th…