39 citations · 166 across the 41 of their papers we have counts for
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Ergodic Averages for Independent Polynomials and Applications
Nikos Frantzikinakis, Bryna Kra
Szemerédi's Theorem states that a set of integers with positive upper density contains arbitrarily long arithmetic progressions. Bergelson and Leibman generalized this, showing tha…
Convergence of multiple ergodic averages for some commuting transformations
Nikos Frantzikinakis, Bryna Kra
We prove the convergence for the linear multiple ergodic averages of commuting transformations , assuming that each map and each pair …
Polynomial Averages Converge to the Product of Integrals
Nikos Frantzikinakis, Bryna Kra
We answer a question posed by Vitaly Bergelson, showing that in a totally ergodic system, the average of a product of functions evaluated along polynomial times, with polynomials o…
The Structure of Strongly Stationary Systems
Nikos Frantzikinakis
Motivated by a problem in ergodic Ramsey theory, Furstenberg and Katznelson introduced the notion of strong stationarity, showing that certain recurrence properties hold for arbitr…