éléments de distorsion du groupe des difféomorphismes isotopes à l'identité d'une variété compacte - Mathematics > Dynamical SystemsReport as inadecuate




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Abstract: We consider, on a compact manifold, the group of diffeomorphisms that areisotopic to the identity. We show that every recurrent element is a distorsionelement. This generalizes Avila-s theorem on circle diffeomorphisms. The methodalso provides a new proof of a result by Calegari and Freedman: on a sphere, inthe group of homeomorphisms that are isotopic to the identity, every element isdistorted.



Author: Emmanuel Militon LM-Orsay

Source: https://arxiv.org/







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