Results 21 to 30 of about 353 (136)

Hyperbolicity vs. Amenability for Planar Graphs. [PDF]

open access: yesDiscrete Comput Geom, 2017
The aim of this paper is to clarify the relationship between Gromov-hyperbolicity and amenability for planar ...
Federici B, Georgakopoulos A.
europepmc   +2 more sources

Gromov hyperbolic graphs

open access: yesDiscrete Mathematics, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sergio Bermudo   +3 more
openaire   +1 more source

The role of funnels and punctures in the Gromov hyperbolicity of Riemann surfaces [PDF]

open access: yes, 2006
27 pages, no figures.-- MSC2000 codes: 30F20, 30F45.MR#: MR2243795 (2007e:30063)Zbl#: Zbl 1108.30031We prove results on geodesic metric spaces which guarantee that some spaces are not hyperbolic in the Gromov sense.
Tourís, Eva   +2 more
core   +1 more source

Study of the Gromov hyperbolicity constant on graphs [PDF]

open access: yes, 2022
The concept of Gromov hyperbolicity grasps the essence of negatively curved spaces like the classical hyperbolic space and Riemannian manifolds of negative sectional curvature.
Reyes Guillermo, Rosalío
core   +1 more source

Potential Theory on Gromov Hyperbolic Spaces

open access: yesAnalysis and Geometry in Metric Spaces, 2022
Abstract Gromov hyperbolic spaces have become an essential concept in geometry, topology and group theory. Herewe extend Ancona’s potential theory on Gromov hyperbolic manifolds and graphs of bounded geometry to a large class of Schrödinger operators on Gromov hyperbolic metric measure spaces, unifying these settings in a common ...
Kemper, M. (Matthias)   +1 more
openaire   +4 more sources

A new characterization of Gromov hyperbolicity for negatively curved surfaces [PDF]

open access: yes, 2006
In this paper we show that to check Gromov hyperbolicity of any surface of constant negative curvature, or, Riemann surface, we only need to verify the Rips condition on a very small class of triangles, namely, those obtained by marking three points in a
Tourís, E.   +5 more
core   +1 more source

Apollonian metric, uniformity and Gromov hyperbolicity [PDF]

open access: yes, 2022
The main purpose of this paper is to investigate the properties of a mapping which is required to be roughly bilipschitz with respect to the Apollonian metric (roughly Apollonian bilipschitz) of its domain.
Zhou QS, Vuorinen M, Li YX
core   +1 more source

Gromov-hyperbolicity of strictly pseudoconvex domains and applications [PDF]

open access: yes, 2023
The reason of interest for this thesis is to investigate bounded strictly pseudoconvex domains with C^2−smooth boundary, that is domains Ω ⊂ C^n which admit a strictly plurisubharmonic defining function of class C^2.
Gavelli, Giacomo
core  

Teichmuller Space is Not Gromov Hyperbolic

open access: yes, 1994
We prove that the Teichmuller Space of Riemann Surfaces of genus g>1, equipped with the Teichmuller metric, is not a Gromov Hyperbolic space.
Masur, Howard A., Wolf, Michael
openaire   +4 more sources

A real variable characterization of Gromov hyperbolicity of flute surfaces [PDF]

open access: yes, 2008
23 pages, 1 figure.-- MSC2000 codes: 41A10, 46E35, 46G10.-- ArXiv pre-print available at: http://arxiv.org/abs/0806.0093Previously presented as Communication at International Congress of Mathematicians 2006 (ICM2006, Madrid, Spain, Aug 22-30, 2006 ...
Tourís, Eva   +2 more
core  

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