m

F Nous contacter

0

Documents  Bowditch, Brian H. | enregistrements trouvés : 3

O
     

-A +A

P Q

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

Research talks;Geometry;Topology

Let $G$ be a torsion-free hyperbolic group, let $S$ be a finite generating set of $G$, and let $f$ be an automorphism of $G$. We want to understand the possible growth types for the word length of $f^n(g)$, where $g$ is an element of $G$. Growth was completely described by Thurston when $G$ is the fundamental group of a hyperbolic surface, and can be understood from Bestvina-Handel's work on train-tracks when $G$ is a free group. We address the general case of a torsion-free hyperbolic group $G$; we show that every element in $G$ has a well-defined exponential growth rate under iteration of $f$, and that only finitely many exponential growth rates arise as $g$ varies in $G$. In addition, we show the following dichotomy: every element of $G$ grows either exponentially fast or polynomially fast under iteration of $f$.
This is a joint work with Rémi Coulon, Arnaud Hilion and Gilbert Levitt.
Let $G$ be a torsion-free hyperbolic group, let $S$ be a finite generating set of $G$, and let $f$ be an automorphism of $G$. We want to understand the possible growth types for the word length of $f^n(g)$, where $g$ is an element of $G$. Growth was completely described by Thurston when $G$ is the fundamental group of a hyperbolic surface, and can be understood from Bestvina-Handel's work on train-tracks when $G$ is a free group. We address the ...

57M07 ; 20E06 ; 20F34 ; 20F65 ; 20E36 ; 20F67

... Lire [+]

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

Research talks;Geometry;Topology

We say a manifold $M$ is exceptional if for any $n$ all degree $n$ covers of $M$ are homeomorphic. For example closed surfaces and all tori are exceptional. We classify exceptional 3-manifolds.
This is based on joint work with Junghwan Park, Bram Petri and Aru Ray.

57M27 ; 57M25 ; 57M50

... Lire [+]

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

- x; 104 p.
ISBN 978-493-146935-8

MSJ memoirs , 0016

Localisation : Ouvrage RdC (BOWD)

théorie géométrique des groupes # groupes hyperboliques # quasi-isométries # géométrie hyperbolique

20F65 ; 20-02 ; 20E05 ; 20F05 ; 20F67 ; 20F69

... Lire [+]

Z