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arxiv: 1212.5135 · v1 · pith:DZEUXROBnew · submitted 2012-12-20 · 🧮 math.DS

On spectral multiplicities {2, 4,..., 2^n} for totally ergodic Z²-actions

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keywords actionsergodicmultiplicitiesspectraltotallyallowcollectionconditions
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For totally ergodic Z^2-actions a collection of weak limits provide the set {2,4, ..., 2 ^ n} of spectral multiplicities for their tensor product. Our conditions allow to obtain a similar result for mixing actions via some limit procedure.

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