On hyperbolic once-punctured-torus bundles. IV: Automata for lightning curves

DOI10.1016/j.topol.2011.08.018zbMath1243.57011OpenAlexW2080671211MaRDI QIDQ649801

David J. Wright, Warren Dicks

Publication date: 6 December 2011

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2011.08.018

zbMATH Keywords

Hausdorff dimensionCannon-Thurston mapconical limit pointfractal tessellationhyperbolic once-punctured-torus bundleplanar symmetry group

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Automorphism groups of groups (20F28) Fundamental group, presentations, free differential calculus (57M05) Free nonabelian groups (20E05)

Related Items

Cohomology fractals, Cannon–Thurston maps, and the geodesic flow

Cites Work

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• Convex hulls and isometries of cusped hyperbolic 3-manifolds
• On canonical triangulations of once-punctured torus bundles and two-bridge link complements. With an appendix by David Futer.
• On hyperbolic once-punctured-torus bundles. II: fractal tessellations of the plane
• On hyperbolic once-punctured-torus bundles. III: Comparing two tessellations of the complex plane
• Triangulated cores of punctured-torus groups
• Entropy, Hausdorff measures old and new, and limit sets of geometrically finite Kleinian groups
• Euclidean decompositions of noncompact hyperbolic manifolds
• The density at infinity of a discrete group of hyperbolic motions
• The classification of punctured-torus groups
• The boundary of the Gieseking tree in hyperbolic three-space
• Train-tracks for surface homeomorphisms
• Hausdorff dimension and Kleinian groups
• Limit points of Kleinian groups and finite sided fundamental polyhedra
• The canonical decomposition of once-punctured torus bundles
• On hyperbolic once-punctured-torus bundles
• On the Hausdorff dimension of the Gieseking fractal
• A note on the automorphism group of the rank two free group
• Group invariant Peano curves
• The Cannon-Thurston map for punctured-surface groups
• The core chain of circles of Maskit’s embedding for once-punctured torus groups
• The structure of certain subgroups of the Picard group
• Hausdorff dimension and conformal dynamics, III: Computation of dimension
• ENTROPY, A COMPLETE METRIC INVARIANT FOR AUTOMORPHISMS OF THE TORUS
• Similarity of automorphisms of the torus
• Local connectivity, Kleinian groups and geodesics on the blowup of the torus.

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