On the geometry and dynamics of diffeomorphisms of surfaces

1988/01/01 by William P. Thurston · 21 citations
Mathematics · Physics and Astronomy · #Dynamics (music) #Geometric and Algebraic Topology #Geometry #Mathematical Dynamics and Fractals #Mathematics #Physics #Quantum chaos and dynamical systems

paper · pdf · doi:10.1090/s0273-0979-1988-15685-6

crossref issued 1988/01/01 · crossref published 1988/01/01 · crossref published-online 1988/01/01 · openalex publication_date 1988/01/01 · crossref created 2008/02/28 · crossref deposited 2021/10/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/07 · crossref indexed 2026/07/29

Citations

• Bouts des Varietes Hyperboliques de Dimension 3
• On Boundaries of Teichmuller Spaces and on Kleinian Groups: I
• On Irreducible 3-Manifolds Which are Sufficiently Large
• Global shadowing of pseudo-Anosov homeomorphisms
• The Nielsen Realization Problem
• Differentiable dynamical systems

Cited by

• Geodesic string counting invariants and arithmetic of multiplicities
• Hierarchically hyperbolic spaces, I: Curve complexes for cubical groups
• Finite dimensional Teichmüller spaces and generalizations
• Quasiconformal mappings, with applications to differential equations, function theory and topology
• Globally optimal stretching foliations of dynamical systems reveal the\n organizing skeleton of intensive instabilities
• Normalized Entropy versus Volume
• Riemann surfaces and AF -algebras
• On the zeroes of the Alexander polynomial of a Lorenz knot
• Symplectic Floer homology of area-preserving surface diffeomorphisms
• Group negative curvature for 3–manifolds with genuine laminations
• Abelian subgroups of Out(Fn)
• Normal generators for mapping class groups
• Reynolds number effects on mixing due to topological chaos
• Topology of chaotic mixing patterns
• Action of M(0,2n) on some kernel spaces coming from SU (2)-TQFT
• Deviation of ergodic averages for substitution dynamical systems with eigenvalues of modulus 1
• Iteration on Teichmüller space
• Travaux de thurston sur les groupes quasi-fuchsiens et les variétés hyperboliques de dimension 3 fibrées sur s1
• The kernel of Burau(4) ⊗ Z_p is all pseudo-Anosov
• On the existence of a new type of periodic and quasi-periodic orbits for twist maps of the torus
• On the number and location of short geodesics in moduli space
• Positive factorizations of pseudoperiodic homeomorphisms
• Teichmüller space [wikipedia]