# Earthquakes and Thurston's boundary for the Teichm\

@inproceedings{ari2006EarthquakesAT,
title={Earthquakes and Thurston's boundary for the Teichm\},
author={Dragomir {\vS}ari{\'c}},
year={2006}
}
A measured laminations on the universal hyperbolic solenoid $\S$ is, by our definition, a leafwise measured lamination with appropriate continuity for the transverse variations. An earthquakes on theuniversal hyperbolic solenoid $\S$ is uniquely determined by a measured lamination on $\S$; it is a leafwise earthquake with the leafwise earthquake measure equal to the leafwise measured lamination. Leafwise earthquakes fit together to produce a new hyperbolic metric on $\S$ which is transversely…
2 Citations
In this paper we survey n-dimensional solenoidal manifolds for n = 1, 2 and 3, and present new results about them. Solenoidal manifolds of dimension n are metric spaces locally modeled on the product
• Computer Science
Proceedings of the American Mathematical Society
• 2019
<p>Let <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="phi colon double-struck upper D right-arrow double-struck upper C">

## References

SHOWING 1-10 OF 25 REFERENCES

• Mathematics
• 2005
The punctured solenoid $${\mathcal H}$$ plays the role of an initial object for the category of punctured surfaces with morphisms given by finite covers branched only over the punctures. The
• Mathematics
• 1993
The Universal Teichm\"uller Space, $T(1)$, is a universal parameter space for all Riemann surfaces. In earlier work of the first author it was shown that one can canonically associate infinite-
• Mathematics
• 1998
Abstract. To any compact hyperbolic Riemann surface X, we associate a new type of automorphism group — called its commensurability automorphism group, ComAut(X). The members of ComAut(X) arise from
• Mathematics
• 1996
In an earlier paper [Acta Mathematica, v. 176, 1996, 145-169, alg-geom/9505024 ] the present authors and Dennis Sullivan constructed the universal direct system of the classical Teichmuller spaces of
We consider (real) earthquakes and, by their extensions, complex earthquakes of the hyperbolic plane H 2 . We show that an earthquake restricted to the boundary S 1 of H 2 is a quasisymmetric map if
• Mathematics
• 1999
If p : Y → X is an unramified covering map between two compact oriented surfaces of genus at least two, then it is proved that the embedding map, corresponding to p, from the Teichmuller space T (X),
Given a closed surface X, the covering solenoid X∞ is by definition the inverse limit of all finite covering surfaces over X. If the genus of X is greater than one, then there is only one
• Mathematics
• 2006
We show that the set of points in the Teichmuller space of the universal hyperbolic solenoid which do not have a Teichmuller extremal representative is generic (that is, its complement is the set of
This article was widely circulated as a preprint, about 12 years ago. At that time the Bulletin did not accept research announcements, and after a couple of attempts to publish it, I gave up, and the