Results 61 to 70 of about 189,122 (232)

Hyperfiniteness of boundary actions of acylindrically hyperbolic groups

Forum of Mathematics, Sigma
We prove that, for any countable acylindrically hyperbolic group G, there exists a generating set S of G such that the corresponding Cayley graph $\Gamma (G,S)$ is hyperbolic, $|\partial \Gamma (G,S)|>2$ , the natural action of G on ...
Koichi Oyakawa
doaj   +1 more source

Open and Dense Topological Transitivity of Extensions by Non-Compact Fiber of Hyperbolic Systems: A Review

Axioms, 2015
Currently, there is great renewed interest in proving the topological transitivity of various classes of continuous dynamical systems. Even though this is one of the most basic dynamical properties that can be investigated, the tools used by various ...
Viorel Nitica, Andrei Török
doaj   +1 more source

Homogeneous Structures and Homogeneous Geodesics of the Hyperbolic Oscillator Group

Axioms
In this paper, we study some homogeneity properties of a semi-direct extension of the Heisenberg group, known in literature as the hyperbolic oscillator (or Boidol) group, equipped with the left-invariant metrics corresponding to the ones of the ...
Giovanni Calvaruso, Amirhesam Zaeim, Mehdi Jafari, Moslem Baghgoli   +3 more
doaj   +1 more source

The hyperbolicity constant of infinite circulant graphs

Open Mathematics, 2017
If X is a geodesic metric space and x1, x2, x3 ∈ X, a geodesic triangle T = {x1, x2, x3} is the union of the three geodesics [x1x2], [x2x3] and [x3x1] in X.
Rodríguez José M., Sigarreta José M.
doaj   +1 more source

Stable commutator length in word-hyperbolic groups [PDF]

, 2009
In this paper we obtain uniform positive lower bounds on stable commutator length in word-hyperbolic groups and certain groups acting on hyperbolic spaces (namely the mapping class group acting on the complex of curves, and an amalgamated free product ...
Calegari, Danny, Fujiwara, Koji
core   +1 more source

Hyperbolic boundaries vs. hyperbolic groups

, 2022
These notes are based on lectures given by the third author at CIRM in the Summer of ...
Ben-Zvi, Michael, Lou, Jiayi, Walsh, Genevieve S.   +2 more
openaire   +2 more sources

Cone-manifolds and the density conjecture [PDF]

, 2002
We give an expository account of our proof that each cusp-free hyperbolic 3-manifold M with finitely generated fundamental group and incompressible ends is an algebraic limit of geometrically finite hyperbolic 3-manifolds.Comment: 19 Pages, 2 figures; to
Brock, Jeffrey F., Bromberg, Kenneth W.
core   +1 more source

Commensurability of hyperbolic manifolds with geodesic boundary

, 2005
Suppose n>2, let M,M' be n-dimensional connected complete finite-volume hyperbolic manifolds with non-empty geodesic boundary, and suppose that the fundamental group of M is quasi-isometric to the fundamental group of M' (with respect to the word metric).
Frigerio, Roberto
core   +1 more source

On Infinitely generated Fuchsian groups of the Loch Ness monster, the Cantor tree and the Blooming Cantor tree

Complex Manifolds, 2019
In this paper, for a non-compact Riemman surface S homeomorphic to either: the Infinite Loch Ness monster, the Cantor tree and the Blooming Cantor tree, we give a precise description of an infinite set of generators of a Fuchsian group Γ < PSL(2, ℝ ...
Arredondo John A., Maluendas Camilo Ramírez   +1 more
doaj   +1 more source

A construction of hyperbolic Coxeter groups [PDF]

Commentarii Mathematici Helvetici, 2013
We give a simple construction of Gromov hyperbolic Coxeter groups of arbitrarily large virtual cohomological dimension. Our construction provides new examples of such groups. Using this one can construct, e.g., new groups having some interesting asphericity properties.
openaire   +4 more sources