m
• E

F Nous contacter

0

# Documents  Berger, Pierre | enregistrements trouvés : 2

O

P Q

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Emergence of wandering stable components Berger, Pierre | CIRM H

Post-edited

In a joint work with Sebastien Biebler, we show the existence of a locally dense set of real polynomial automorphisms of $\mathbb{C}^{2}$ displaying a stable wandering Fatou component; in particular this solves the problem of their existence, reported by Bedford and Smillie in 1991. These wandering Fatou components have non-empty real trace and their statistical behavior is historical with high emergence. The proof follows from a real geometrical model which enables us to show the existence of an open and dense set of $C^{r}$ families of surface diffeomorphisms in the Newhouse domain, each of which displaying a historical, high emergent, wandering domain at a dense set of parameters, for every $2\leq r\leq \infty$ and $r=\omega$. Hence, this also complements the recent work of Kiriki and Soma, by proving the last Taken's problem in the $C^{\infty }$ and $C^{\omega }$-case. In a joint work with Sebastien Biebler, we show the existence of a locally dense set of real polynomial automorphisms of $\mathbb{C}^{2}$ displaying a stable wandering Fatou component; in particular this solves the problem of their existence, reported by Bedford and Smillie in 1991. These wandering Fatou components have non-empty real trace and their statistical behavior is historical with high emergence. The proof follows from a real g...

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

## Strong regularity Berger, Pierre ; Yoccoz, Jean-Christophe | Société Mathématique de France 2019

Ouvrage

- vii; 177 p.
ISBN 978-2-85629-904-3

Astérisque , 0410

Localisation : Périodique 1er étage

hyperbolicté non-uniforme # sélection de paramètres # application unimodale # attracteur Hénon # dynamiques chaotiques # dynamiques en petite dimension # pièce de puzzle

#### Filtrer

##### Langue

Titres de périodiques et e-books électroniques (Depuis le CIRM)

Ressources Electroniques

Books & Print journals

Recherche avancée

0
Z