Failure of the Roth theorem for solvable groups of exponential growth

DOI10.1017/S0143385703000427zbMath1115.37003OpenAlexW1968889824MaRDI QIDQ4470164

Vitaly Bergelson, Alexander Leibman

Publication date: 22 June 2004

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385703000427

Mathematics Subject Classification ID

General groups of measure-preserving transformations (28D15) General groups of measure-preserving transformations and dynamical systems (37A15)

Related Items (11)

Some open problems on multiple ergodic averages ⋮ Pointwise convergence for cubic and polynomial multiple ergodic averages of non-commuting transformations ⋮ Model theory and metric convergence II: Averages of unitary polynomial actions ⋮ An uncountable ergodic Roth theorem and applications ⋮ A generalization of van der Corput's difference theorem with applications to recurrence and multiple ergodic averages ⋮ Multiple recurrence and convergence without commutativity ⋮ Norm convergence of multiple ergodic averages on amenable groups ⋮ A selection of open problems ⋮ Multiple recurrence for non-commuting transformations along rationally independent polynomials ⋮ Furstenberg systems of Hardy field sequences and applications ⋮ Equidistribution of joinings under off-diagonal polynomial flows of nilpotent Lie groups

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