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Pré-Publication, Document De Travail Année : 2004

Smooth mixing flows with singular spectra

Résumé

We give a geometric criterion that guaranteesa purely singular spectral type for a dynamical system on a Riemannian manifold. The criterion, that is based on the existence of fairly rich but localized periodic approximations, is compatible with mixing. Indeed, we use it to construct examples of smooth mixing flows on the three torus with purely singular spectra.
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Dates et versions

hal-00003488 , version 1 (08-12-2004)

Identifiants

Citer

Bassam Fayad. Smooth mixing flows with singular spectra. 2004. ⟨hal-00003488⟩
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