Rotation sets of surface homeomorphisms

DOI10.1007/BF01235990zbMath0908.58032MaRDI QIDQ4344724

Shigenori Matsumoto

Publication date: 18 March 1999

Published in: [https://portal.mardi4nfdi.de/entity/Q2710393 Boletim da Sociedade Brasileira de Matem�tica] (Search for Journal in Brave)

zbMATH Keywords

topological entropyrotation setrotation vectorasymptotic measuregenus of a surfacegeneralized pseudo-Anosov homeomorphismspoints realized by orbits

Mathematics Subject Classification ID

Ergodic theory (37A99) Local and nonlocal bifurcation theory for dynamical systems (37G99) Dynamical systems with hyperbolic behavior (37D99)

Related Items (3)

Pseudo-Anosov foliations on periodic surfaces ⋮ ON ANNULAR MAPS OF THE TORUS AND SUBLINEAR DIFFUSION ⋮ Sur les ensembles de rotation des homéomorphismes de surface en genre ≥ 2

Cites Work

• Combinatorial proofs of the Conley-Zehnder-Franks theorem on a fixed point for torus homeomorphisms
• A sufficient condition for the existence of periodic points of homeomorphisms on surfaces
• Curves von 2-manifolds and isotopies
• Homotopy groups of the space of homeomorphisms on a 2-manifold
• Realizing Rotation Vectors for Torus Homeomorphisms
• Rotation Sets for Homeomorphisms and Homology
• The diffeomorphism group of a compact Riemann surface

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