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Pré-Publication, Document De Travail Année : 2013

On measures resisting multifractal analysis

Résumé

Any ergodic measure of a smooth map on a compact manifold has a multifractal spectrum with one point - the dimension of the measure itself - at the diagonal. We will construct examples where this fails in the most drastic way for invariant measures invariant under linear maps of the circle.

Dates et versions

hal-00795606 , version 1 (28-02-2013)

Identifiants

Citer

Jörg Schmeling, Stéphane Seuret. On measures resisting multifractal analysis. 2013. ⟨hal-00795606⟩
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