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Equipartition of the eigenfunctions of quantized ergodic maps on the torus. (English) Zbl 0876.58041
Authors’ abstract: “We give a simple proof of the equipartition of the eigenfunctions of a class of quantized ergodic area-preserving maps on the torus. Examples are the irrational translations, the skew translations, the hyperbolic automorphisms and some of their perturbations”.

MSC:
37A30 Ergodic theorems, spectral theory, Markov operators
37D99 Dynamical systems with hyperbolic behavior
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