6 papers · 1 filter
The Symbolic Dynamics of Tiling the Integers
Ethan M. Coven, William Geller, Sylvia Silberger +1
A finite collection of finite sets tiles the integers iff the integers can be expressed as a disjoint union of translates of members of . We associate with such a tiling a d…
Hyperbolic Structures on 3-manifolds, III: Deformations of 3-manifolds with incompressible boundary
William P. Thurston
This is the third in a series of papers constructing hyperbolic structures on all Haken three-manifolds. This portion deals with the mixed case of the deformation space for manifol…
Hyperbolic Structures on 3-manifolds, II: Surface groups and 3-manifolds which fiber over the circle
William P. Thurston
Geometrization theorem, fibered case: Every three-manifold that fibers over the circle admits a geometric decomposition. Double limit theorem: for any sequence of quasi-Fuchsian gr…
Minimal stretch maps between hyperbolic surfaces
William P. Thurston
This paper develops a theory of Lipschitz comparisons of hyperbolic surfaces analogous to the theory of quasi-conformal comparisons. Extremal Lipschitz maps (minimal stretch maps)…
Hyperbolic Structures on 3-manifolds, I: Deformation of acylindrical manifolds
William P. Thurston
This is the first in a series of papers showing that Haken manifolds have hyperbolic structures; this first was published, the second two have existed only in preprint form, and la…
Shapes of polyhedra and triangulations of the sphere
William P. Thurston
The space of shapes of a polyhedron with given total angles less than 2πat each of its n vertices has a Kaehler metric, locally isometric to complex hyperbolic space CH^{n-3}. The…