Distortion elements in groups of interval diffeomorphisms | Vidéo | Carmin.tv

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Distortion elements in groups of interval diffeomorphisms

De Hélène Eynard-Bontemps

Apparaît dans la collection : Foliations and Diffeomorphism Groups / Feuilletages et Groupes de Difféomorphisme

An element g of an abstract group G is a distortion element if there exists a finite family S in G such that g belongs to the subgroup generated by S and the wordlength of gn (w.r.t. S) grows sublinearly in n. In this talk, we will be interested in the distortion elements of the group of Cr orientation-preserving diffeomorphisms of the closed interval, for different values of r. In particular, we will present some natural obstructions to distortion (such that the presence of hyperbolic fixed points in C1 regularity and the positivity of the so-called asymptotic distortion in C2 regularity (and higher)), and we will wonder whether they are the only ones.

Informations sur la vidéo

Date de captation 10/12/2024
Date de publication 10/01/2025
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Audience Chercheurs, Doctorants
Réalisateur(s) Luca Recanzone
Format MP4

Données de citation

DOI 10.24350/CIRM.V.20274503
Citer cette vidéo Eynard-Bontemps, Hélène (10/12/2024). Distortion elements in groups of interval diffeomorphisms. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20274503
URL https://dx.doi.org/10.24350/CIRM.V.20274503

Domaine(s)

Systèmes dynamiques

Bibliographie

EYNARD-BONTEMPS, Hélène et NAVAS, Andrés. All, most, some? On diffeomorphisms of the interval that are distorted and/or conjugate to powers of themselves. arXiv preprint arXiv:2405.11366, 2024. - https://doi.org/10.48550/arXiv.2405.11366

Codes MSC

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