On the Ergodic Theorem for Affine Actions on Hilbert Space

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On the Ergodic Theorem for Affine Actions on Hilbert Space

Chifan, Ionut; Sinclair, Thomas

Bulletin of the Belgian Mathematical Society Simon Stevin, 07/2015, Volume: 22, Issue: 3

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The note establishes a new weak mean ergodic theorem (Theorem A) for 1-cocycles associated to weakly mixing representations of amenable groups. Key words and phrases: affine action, mean ergodic theorem, groups of polynomial growth.

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Chifan, Ionut | Sinclair, Thomas

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