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Kleinian group

The visual core of a hyperbolic 3 manifold

The visual core of a hyperbolic 3 manifold

... function group, which is a finitely generated Kleinian group whose domain of discontinuity contains a component invariant under the action of the ...

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Regularity of Kleinian limit sets and Patterson Sullivan measures

Regularity of Kleinian limit sets and Patterson Sullivan measures

... and plays a central role in the geometry and dimension theory of Γ. In particular, the limit set of a non-elementary geometrically finite Kleinian group has Hausdorff dimension equal to δ(Γ). This important ...

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Cores of hyperbolic 3 manifolds and limits of Kleinian groups II

Cores of hyperbolic 3 manifolds and limits of Kleinian groups II

... A Kleinian group is non-elementary if its limit set contains at least three points, and is elementary ...A Kleinian group is elementary if and only if it is virtually abelian; recall that a ...

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Convergence groups, Hausdorff dimension, and a Theorem of Sullivan and Tukia

Convergence groups, Hausdorff dimension, and a Theorem of Sullivan and Tukia

... We give a brief synopsis of the proof of this fact. First a theorem of Susskind and Swarup ([22]) is used to assert that the limit set of ˆ Γ is properly contained in the limit set of Γ. Thus we can find a (necessarily) ...

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On the topology of deformation spaces of Kleinian groups

On the topology of deformation spaces of Kleinian groups

... A Kleinian group is nonelementary if its limit set contains at least three points, and is elemen- tary ...A Kleinian group is elementary if and only if it is virtually abelian; recall that a ...

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Diophantine approximation in Kleinian groups : singular, extremal, and bad limit points

Diophantine approximation in Kleinian groups : singular, extremal, and bad limit points

... The overall aim of this note is to initiate a ‘manifold’ theory for metric Diophantine approxi- mation on the limit sets of Kleinian groups. We investigate the notions of singular and extremal limit points within ...

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Tukia's isomorphism theorem in CAT(-1) spaces

Tukia's isomorphism theorem in CAT(-1) spaces

... the situation in higher dimensions was somewhat murky until Bowditch [6] wrote a paper that described which equivalences remain true in higher dimensions, and which do not. The condition of a finite-sided convex ...

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The fractal structure of limit set of solution space of a doubly periodic Ricatti equation

The fractal structure of limit set of solution space of a doubly periodic Ricatti equation

... KEY WORDS AND PHRASES: Kleinian group of a Pdccati equation, limit set, fractal 1991 AMS SUBJECT CLASSICATION CODES: 34C35 It is well known that the limit sets of many nonlinear autonomo[r] ...

6

Resonances for graph directed Markov systems, and geometry of infinitely generated dynamical systems

Resonances for graph directed Markov systems, and geometry of infinitely generated dynamical systems

... cocompact Kleinian group is strictly smaller than the Hausdorff dimension of the limit set of the convex cocompact group if and only if the quotient group is ...

97

Closed essential surfaces in hyperbolizable acylindrical 3 manifolds

Closed essential surfaces in hyperbolizable acylindrical 3 manifolds

... a Kleinian group Γ is precisely invariant under their stabilizers in Γ, while if Γ is convex co-compact and uniformizes an acylindrical 3-manifold, any collection of closures of inequivalent components is ...

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Discrete groups and computational geometry : a thesis presented in partial fulfilment of the requirements for the degree of Doctor of Philosophy in Mathematics at Massey University, Albany, New Zealand

Discrete groups and computational geometry : a thesis presented in partial fulfilment of the requirements for the degree of Doctor of Philosophy in Mathematics at Massey University, Albany, New Zealand

... The group G = hf, gi is then defined, up to conjugacy, by the parameter set (p, q, γ), whenever γ 6= ...the group G is discrete and non-elementary, then it is a Kleinian ...group. ...

15

Symbolic dynamics for Kleinian groups

Symbolic dynamics for Kleinian groups

... Markov partition and deformation spaces of Kleinian groups In this chapter we define the deformation of a Kleinian group and consider the question of regularity of the Hausdorff dimensio[r] ...

65

Weak equivalence of representations of Kleinian 4-group

Weak equivalence of representations of Kleinian 4-group

... f (gv) = σ(g)f(v) for all g ∈ G, v ∈ M. The aim of this paper is to give a classification of indecomposable integral 2-adique representations of the Kleinian group up to weak equivalence. To do it, we use ...

7

Diophantine approximation in Kleinian groups : singular, extremal, and bad limit points

Diophantine approximation in Kleinian groups : singular, extremal, and bad limit points

... setup and notation in mind, we are in the position to state three fundamental results originating from Patterson’s pioneering paper [33]. In short, they represent natural generalisations to the hyperbolic space setting ...

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Enabling a Kleinian integration of interpretivist and socio critical IS research : The contribution of Dooyeweerd's philosophy

Enabling a Kleinian integration of interpretivist and socio critical IS research : The contribution of Dooyeweerd's philosophy

... In his keynote address to a 1999 IFIP8.2 Working Group, Klein (1999) identified two main directions that have emerged in IS research: interpretivist and socio-critical. (As Klein (2009) points out, the word ...

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The symmetric group and the unitary group : an application of group subgroup transformation theory

The symmetric group and the unitary group : an application of group subgroup transformation theory

... in analogy to the coupling factor and recoupling coefficient of the Racah-Wigner algebra, the symmetries and a calculational method of other transformation factors including the inductio[r] ...

193

The Language of group travel: An Evaluation of group tours and group travel texts

The Language of group travel: An Evaluation of group tours and group travel texts

... Phillips and Procedures" - Susan Webster Manual" "Group Travel Operations by Martha Sarbey de Souto, "Essentials of Tour CTC Management" 22 by Betsy Fay CHAPTER CHAPTER CHAPTER 3.. METHO[r] ...

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Regularized group regression methods for genomic prediction: Bridge, MCP, SCAD, group bridge, group lasso, sparse group lasso, group MCP and group SCAD

Regularized group regression methods for genomic prediction: Bridge, MCP, SCAD, group bridge, group lasso, sparse group lasso, group MCP and group SCAD

... one group it gets a new coefficient ...(overlapped) group lasso that incorporates both main effects and interactions that obey weak or strong hierarchy (nesting) patterns ...archical group lasso ...

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The spring of western narcissism: A psychoanalytic approach to western reactions to the 'Arab Spring'

The spring of western narcissism: A psychoanalytic approach to western reactions to the 'Arab Spring'

... This is not only a refusal of the West to accept variation or dynamics within the other: difference also becomes irreconcilable due to a paternal desire of the granter of self-identity to control the analogue. The newly ...

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... The group coupon market is far from stable and there are at least two emerging issues that deserve attention. The first is the movement of Internet heavyweights into the arena. At the end of November 2010, rumors ...

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