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Measured geodesic lamination

WebI am wondering about the following: Suppose that S is a non-compact hyperbolic surface of finite area. Suppose that λ ⊂ S is a non-trivial, geodesic, measured lamination. Forget the … WebIt draws geodesic flight paths on top of Google maps, so you can create your own route map. Great Circle Map displays the shortest route between airports and calculates the …

Boundaries of Teichm¨uller spaces and end-invariants for …

WebLaminations. Let MLg,n denote the space of (nonzero) measured geodesic laminations on a standard topological surface Σg,n. The intersection number of a pair of laminations will be denoted by i(λ,µ). By straightening the vertical foliation F(q) of a quadratic differential, we obtain a measured lamination Λ(q) (cf. [Le]). The map q → (Λ(q ... WebA measured geodesic lamination is a geodesic lamination ν equipped with a translation invariant transverse measure ξsuch that the ξ-weight of every compact arc in Swith endpoints in S−νwhich intersects νnontrivially and transversely is positive. We say that νis the support of the measured geodesic lamination. facebook orchestre mad https://fourseasonsoflove.com

Typical properties of periodic Teichmüller geodesics: Lyapunov ...

WebMeasured laminations. A measured geodesic lamination Lis a compact subset of Xfoliated by simple geodesics, together with a transverse invariant measure, which assigns a … WebMar 3, 2010 · Given a measured geodesic lamination on a hyperbolic sur- face, grafting the surface along multiples of the lamination denes a path in Teichmuller space, called the grafting ray. We show that every grafting ray, after reparameterization, is a Teichmuller quasi-geodesic and stays in a bounded neighborhood of some Teichmuller geodesic. As … WebMar 1, 2024 · The locus and intensity of this bending is described by a measured geodesic lamination, which is a topological object. We consider two problems: the topological characterization of those measured ... facebookoreillyearlylearningcenter

Geodesic laminations and continued fractions …

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Measured geodesic lamination

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http://emis.maths.adelaide.edu.au/journals/GT/ftp/main/2004/2004s13.pdf WebJul 1, 2024 · There are natural correspondences between the theory of measured foliations, that of measured laminations, and that of measured geodesic lamination (in the case of a …

Measured geodesic lamination

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http://userhome.brooklyn.cuny.edu/junhu/documents/Topologicalcharacterization7-22-2013.pdf WebA measured geodesic lamination is a geodesic lamination λ together with a trans-lation invariant transverse measure. Such a measure assigns a positive weight to each compact arc in S which intersects λ nontrivially and transversely and whose endpoints are contained in the complementary regions of λ. The geodesic lamina-

Webinvariant measure. The support of a measured lamination is a geodesic lamination having the property that the entire lamination coincides with the union of its minimal components. WebJan 1, 2001 · A measured geodesic lamination λ ∈ ML defines a discontinuous map from H 2 to itself called a left earthquake along λ, see [Thu86, Bon92]. In the simpler case when …

WebJan 1, 2012 · Given a measured geodesic lamination on a hyperbolic surface, grafting the surface along multiples of the lamination defines a path in Teichmller space, called the grafting ray. We show that every grafting ray, after reparameterization, is a Teichmller quasi-geodesic and stays in a bounded neighborhood of some Teichmller geodesic. As part of …

WebApr 10, 2012 · A (geodesic) lamination is a closed set that can be written as a disjoint union of geodesics. i.e. where each is a (not necessary closed) geodesic, is called a leaf of . Let’s try to think of some examples: i) One simple closed geodesic ii) A set of disjoint simple closed geodesics iii) A non-closed geodesic spirals onto two closed ones

WebFounded in 2004 by two principals with a combined experience of more than 40 years in private, municipal, and governmental markets, we take pride in on our ability to conduct all … facebook ordeal in sightWebNov 5, 2011 · Definition. A lamination such that each complementary region is isometric to an ideal triangle is said to be maximal. We shall see, from Theorem I.4.2.8 ( Structure of lamination) that any lamination on a surface of finite area can be extended by adding a finite number of new leaves to obtain a maximal lamination. Type Chapter Information does paracetamol help back painWebGiven any measured geodesic lamination that is not a multicurve, we construct uncountably many "exotic rays", i.e. geodesic rays of finite total transverse measure, not asymptotic to any leaf, nor eventually disjoint from the lamination. An exotic plane in an acylindrical 3-manifold. Submitted. [preprint arxiv] facebook ordinateur portable