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Convergence of Conze-Lesigne averages

Abstract : We study the convergence of N-1 Sigmaf(1)(T(a1n)x)f(2)(T(a2n)x)f(3)(T(a3n)x), for a measure-preserving system (X, B, mu, T) and f(1), f(2), f(3) is an element of L(infinity)(mu). This generalizes the theorem of Conze and Lesigne on such expressions and simplifies the proof. We also obtain a description of the limit.
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Submitted on : Wednesday, May 2, 2012 - 11:06:31 PM
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  • HAL Id : hal-00693738, version 1


Bernard Host, B Kra. Convergence of Conze-Lesigne averages. Ergodic Theory and Dynamical Systems, Cambridge University Press (CUP), 2001, 21 (?), pp.493--509. ⟨hal-00693738⟩



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