Hyperbolic group
On the generators of the kernels of hyperbolic group presentations
... A b s t r a c t . In this paper we prove that if R is a (not nec- essarily finite) set of words satisfying certain small cancellation condition in a hyperbolic group G then the normal closure of R is free. ...
33
Engulfing in word hyperbolic groups
... word hyperbolic group engulfs the ...word hyperbolic groups ...word-hyperbolic group is residually finite by suitably adapting Long’s method to obtain the ...
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Topics in hyperbolic groups
... We present here symbolic codings of the boundary of a hyperbolic group and the geodesic flow on a hyperbolic group, using its au tomatic structure. Firstly, we give a finite presentation o f ...
170
The action of the mapping class group on the space of geodesic rays of a punctured hyperbolic surface
... relatively hyperbolic group described in ...the group is the fundamental group of a once-punctured closed orientable surface, and the peripheral structure is interpreted in the usual way (as ...
16
Hyperbolic spaces in Teichmüller spaces
... δ–hyperbolic group which is not virtually free contains a quasi-isometrically embedding hyperbolic ...the group is not virtually free implies the existence of an arc in the ...the ...
23
Geometric group theory and hyperbolic geometry: Recent contributions from Indian mathematicians
... relatively hyperbolic subgroup of relatively hyperbolic group under natural ...closed hyperbolic surface group on the curve complex of a surface with one puncture and use it to show ...
11
The generalised word problem in hyperbolic and relatively hyperbolic groups
... a hyperbolic group, and H a quasiconvex, almost malnormal subgroup of G, then GWP(G, H) is a real-time ...a hyperbolic group G = hX ...is hyperbolic relative to {H} so we can apply the ...
24
Relatively hyperbolic groups
... There is a slight complicating factor, which we have not explicitly mentioned. This concerns whether we should assume that the peripheral subgroups are all finitely gen- erated. This is not needed in the discussion of ...
63
Embedding Text in Hyperbolic Spaces
... of hyperbolic embeddings that al- lows us to train parametric ...of hyperbolic space), even after arbi- trary gradient ...duce hyperbolic embeddings is an appropriate dis- tance metric (see Equation ...
11
Hyperbolic curve flows in the plane
... Remark 1.3 If α = 1, then the hyperbolic flow (1.1) degenerates into the one considered in [6], and correspondingly, our Theorem 1.1 would become [6, Theorem 1.2]. Therefore, our paper here is an interesting ...
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Geometrical finiteness for hyperbolic groups
... For the second part, we fix z G T . N ow , r,(x) = ( 7 € T | d ( x ,y x ) < t) contains an element o f infinite order. From the discussion o f the M argulis Lemma in S ection 1, we may deduce_that r t(x ) is e ith er ...
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A non linear hyperbolic equation
... In this paper, a theorem of existence and uniqueness of weak solution for a Cauchy problem in a Hilbert space H, is proved for the equation.. This paper is divided in three parts..[r] ...
16
Magnetic bags in hyperbolic space
... of hyperbolic space and the asymptotic length of the Higgs ...case hyperbolic monopoles correspond to circle-invariant Yang-Mills instantons in R 4 [11] and are related to solutions of a discrete Nahm ...
22
Spherical and hyperbolic embeddings of data
... Most embedding methods produce an embedding that is Euclidean. However, dissimilarity data cannot always be em- bedded exactly into a Euclidean space. This is the case when the symmetric similarity matrix (the equivalent ...
15
Rigidity of hyperbolic sets on surfaces
... for hyperbolic surface dynamics will be a condition on the smoothness of the holonomy maps along stable and unstable ...a hyperbolic invariant set Λ (with local product structure and with a dense orbit on ...
23
Inequalities for Hyperbolic Functions and Their Applications
... In this paper, we first establish the following Cusa-type inequalities in exponential type for hyperbolic functions described as Theorem 1.1. Then using the results of Theorem 1.1, we obtain Huygens, Wilker, ...
10
The Porter Hypothesis and Hyperbolic Discounting
... Thus the literature has so far identified various strategic effects, namely first mover advantages, changing the composition of capital, the relative effi- ciency effect, external economies, etc. that can provide a ...
13
Complex hyperbolic triangle groups
... triangle group is non discrete is by using the Jørgensen ...generator group of isometries of the real hyperbolic space to be ...complex hyperbolic triangle ...
130
Personality influences hyperbolic discounting
... We also collect information from respondents regarding the demographics of age, sex, income and education, and evaluate how these interact with personality and hyperbolic discounting. In the literature, ...
13
Personality Influences Hyperbolic Discounting
... influence hyperbolic discounting in a sample of 591 well-educated and relatively wealthy adults from both ...escaped hyperbolic discounting, and for those affected there was no “magnitude ...influenced ...
13