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Showing 2004 · math.DSShow all
3 papers · 2 filters
math.DS2004
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 …
math.DS2004
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…
math.DS2004
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…