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research article
Discrete groups of packed, non-positively curved, Gromov hyperbolic metric spaces
April 1, 2024
We prove a quantitative version of the classical Tits' alternative for discrete groups acting on packed Gromov-hyperbolic spaces supporting a convex geodesic bicombing. Some geometric consequences, as uniform estimates on systole, diastole, algebraic entropy and critical exponent of the groups, will be presented. Finally we will study the behaviour of these group actions under limits, providing new examples of compact classes of metric spaces.
Type
research article
Web of Science ID
WOS:001151071800001
Authors
Publication date
2024-04-01
Publisher
Published in
Volume
218
Issue
2
Start page
36
Peer reviewed
REVIEWED
EPFL units
Funder | Grant Number |
DFG | SFB/TRR 191 |
Available on Infoscience
February 23, 2024
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