Growth rate of surface homeomorphisms and flow equivalence

DOI10.1017/S0143385700003151zbMath0603.58020MaRDI QIDQ3739925

David Fried

Publication date: 1985

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

fundamental groupgrowth ratepseudo-Anosov diffeomorphismhomeomorphism of surface

Mathematics Subject Classification ID

Dynamical systems with hyperbolic behavior (37D99)

Related Items (11)

Topological methods in surface dynamics ⋮ New infinite families of pseudo-Anosov maps with vanishing Sah-Arnoux-Fathi invariant ⋮ Constructing pseudo-Anosov maps with given dilatations ⋮ Growth rates of \(n\)-knots ⋮ Polynomial invariants for fibered 3-manifolds and Teichmüller geodesics for foliations ⋮ Generalized staircases: recurrence and symmetry ⋮ The field of definition of affine invariant submanifolds of the moduli space of abelian differentials ⋮ Lower bound for the Perron–Frobenius degrees of Perron numbers ⋮ Is a typical bi-Perron algebraic unit a pseudo-Anosov dilatation? ⋮ Book Review: Thurston’s work on surfaces ⋮ On the surjectivity of the symplectic representation of the mapping class group

Cites Work

• Unnamed Item
• Homological identities for closed orbits
• Transitive Anosov flows and pseudo-Anosov maps
• The geometry of cross sections to flows
• A duality theorem for Reidemeister torsion
• Flow equivalence, hyperbolic systems and a new zeta function for flows
• On the Irreducibility of Certain Trinomials and Quadrinomials.

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