2,871 research outputs found
Quasi-isometric maps and Floyd boundaries of relatively hyperbolic groups
International audienceWe describe the kernel of the canonical map from the Floyd boundary of a relatively hyperbolic group to its Bowditch boundary. Using the Floyd completion we further prove that the property of relative hyperbolicity is invariant under quasi-isometric maps. If a finitely generated group H admits a quasi-isometric map ϕ into a relatively hyperbolic group G then H is itself relatively hyperbolic with respect to a system of subgroups whose image under ϕ is situated within a uniformly bounded distance of the right cosets of the parabolic subgroups of G. We then generalize the latter result to the case when ϕ is an α-isometric map for any polynomial distortion function α. As an application of our method we provide in the Appendix a new short proof of a basic theorem of Bowditch characterizing hyperbolicity
Non-finitely generated relatively hyperbolic groups and Floyd quasiconvexity
The paper consists of two parts. In the first one we show that a relatively
hyperbolic group splits as a star graph of groups whose central vertex
group is finitely generated and the other vertex groups are maximal parabolic
subgroups. As a corollary we obtain that every group which admits
3-discontinuous and 2-cocompact action by homeomorphisms on a compactum is
finitely generated with respect to a system of parabolic subgroups.
The second part essentially uses the methods of topological entourages
developed in the first part. Using also Floyd metrics we obtain finer
properties of finitely generated relatively hyperbolic groups. We show that
there is a system of "tight" curves satisfying the property of horospherical
quasiconvexity. We then prove that the Floyd quasigeodesics are tight and so
the parabolic subgroups of are quasiconvex with respect to the Floyd
metrics. As a corollary we obtain that the preimage of a parabolic point by the
Floyd map is the Floyd boundary of its stabilizer
Measurement of helium-3 and deuterium stopping power ratio for negative muons
The measurement method and results measuring of the stopping power ratio of
helium-3 and deuterium atoms for muons slowed down in the D/He mixture are
presented. Measurements were performed at four values of pure He gas target
densities, (normalized to the
liquid hydrogen density) and at a density 0.0585 of the D/He mixture. The
experiment was carried out at PSI muon beam E4 with the momentum P MeV/c. The measured value of the mean stopping ratio is
. This value can also be interpreted as the value of mean reduced
ratio of probabilities for muon capture by helium-3 and deuterium atoms.Comment: 7 pages, 6 figure
The role of impacting processes in the chemical evolution of the atmosphere of primordial Earth
The role of impacting processes in the chemical evolution of the atmosphere of primordial Earth is discussed. The following subject areas are covered: (1) Earth's initial atmosphere; (2) continuous degassing; (3) impact processes and the Earth's protoatmosphere; and (4) the evolution of an impact-generated atmosphere
Dispersion relations and subtractions in hard exclusive processes
We study analytical properties of the hard exclusive processes amplitudes. We
found that QCD factorization for deeply virtual Compton scattering and hard
exclusive vector meson production results in the subtracted dispersion relation
with the subtraction constant determined by the Polyakov-Weiss -term. The
relation of this constant to the fixed pole contribution found by Brodsky,
Close and Gunion and defined by parton distributions is proved, while its
manifestation is spoiled by the small divergence. The continuation to the
real photons limit is considered and the numerical correspondence between
lattice simulations of -term and low energy Thomson amplitude is found.Comment: 4 pages, journal versio
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