Add to ORKGInternational audienceThis paper deals with the geometry of metric "two dimensional" spaces, equipped with semi-flows admitting transverse foliations by forests. Our main theorem relates the Gromov-hyperbolicity of such spaces, for instance mapping-telescopes of trees, with the dynamical behaviour of the semi-flow. As a corollary, we give a new proof of Bestvina-Feighn combination theorem for mapping-tori of injective free groups endomorphisms
32 pages, no figures.-- MSC2000 codes: 30F20, 30F45.-- A complementary work to this paper was publis...
27 pages, no figures.-- MSC2000 codes: 30F20, 30F45.MR#: MR2030578 (2005b:30045)Zbl#: Zbl 1047.30028...
32 pages, no figures.-- MSC2000 codes: 30F20, 30F45.-- A complementary work to this paper was publis...
The three chapters of this text present four distinct problems, of geometrical, dynamical or algebra...
Version électronique. La date indiquée est celle de la mise en ligne.International audienceWe presen...
Let $G$ be a torsion-free hyperbolic group and $\alpha$ an automorphism of $G$. We show that there e...
40 pagesWe prove that the mapping torus group of any automorphism of a free group of finite rank n =...
Let (X,d) be a tree (T) of hyperbolic metric spaces satisfying the quasi-isometrically embedded cond...
40 pagesWe prove that the mapping torus group of any automorphism of a free group of finite rank n =...
We prove the existence of continuous boundary extensions (Cannon-Thurston maps) for the inclusion of...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135264/1/blms0459.pd
We prove that ascending HNN extensions of free groups are word-hyperbolic if and only if they have n...
27 pages, no figures.-- MSC2000 codes: 30F20, 30F45.MR#: MR2030578 (2005b:30045)Zbl#: Zbl 1047.30028...
27 pages, no figures.-- MSC2000 codes: 30F20, 30F45.MR#: MR2030578 (2005b:30045)Zbl#: Zbl 1047.30028...
We prove a combination theorem for trees of (strongly) relatively hyperbolic spaces and finite graph...
32 pages, no figures.-- MSC2000 codes: 30F20, 30F45.-- A complementary work to this paper was publis...
27 pages, no figures.-- MSC2000 codes: 30F20, 30F45.MR#: MR2030578 (2005b:30045)Zbl#: Zbl 1047.30028...
32 pages, no figures.-- MSC2000 codes: 30F20, 30F45.-- A complementary work to this paper was publis...
The three chapters of this text present four distinct problems, of geometrical, dynamical or algebra...
Version électronique. La date indiquée est celle de la mise en ligne.International audienceWe presen...
Let $G$ be a torsion-free hyperbolic group and $\alpha$ an automorphism of $G$. We show that there e...
40 pagesWe prove that the mapping torus group of any automorphism of a free group of finite rank n =...
Let (X,d) be a tree (T) of hyperbolic metric spaces satisfying the quasi-isometrically embedded cond...
40 pagesWe prove that the mapping torus group of any automorphism of a free group of finite rank n =...
We prove the existence of continuous boundary extensions (Cannon-Thurston maps) for the inclusion of...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135264/1/blms0459.pd
We prove that ascending HNN extensions of free groups are word-hyperbolic if and only if they have n...
27 pages, no figures.-- MSC2000 codes: 30F20, 30F45.MR#: MR2030578 (2005b:30045)Zbl#: Zbl 1047.30028...
27 pages, no figures.-- MSC2000 codes: 30F20, 30F45.MR#: MR2030578 (2005b:30045)Zbl#: Zbl 1047.30028...
We prove a combination theorem for trees of (strongly) relatively hyperbolic spaces and finite graph...
32 pages, no figures.-- MSC2000 codes: 30F20, 30F45.-- A complementary work to this paper was publis...
27 pages, no figures.-- MSC2000 codes: 30F20, 30F45.MR#: MR2030578 (2005b:30045)Zbl#: Zbl 1047.30028...
32 pages, no figures.-- MSC2000 codes: 30F20, 30F45.-- A complementary work to this paper was publis...