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20142026
most citedA generalization of van der Corput's difference theorem with applications to recurrence and multiple ergodic averages

2 citations · 4 across the 14 of their papers we have counts for

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Showing 2024Show all

3 papers · 1 filter

math.LO2024

Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem

Sohail Farhangi, Steve Jackson, Bill Mance

We show that several sets of interest arising from the study of partition regularity and density Ramsey theory of polynomial equations over integral domains are undecidable. In par…

math.DS2024

Asymptotic dynamics on amenable groups and van der Corput sets

Sohail Farhangi, Robin Tucker-Drob

We answer a question of Bergelson and Lesigne by showing that the notion of van der Corput set does not depend on the Følner sequence used to define it. This result has been discov…

math.FA2024

Uniform vector-valued pointwise ergodic theorems for operators

Micky Barthmann, Sohail Farhangi

We prove a uniform vector-valued Wiener-Wintner Theorem for a class of operators that includes compositions of ergodic Koopman operators with contractive multiplication operators.…