Markov families for Anosov flows with an involutive action

DOI10.1017/S0027763000022674zbMath0593.58034MaRDI QIDQ3723380

Toshiaki Adachi

Publication date: 1986

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

geodesic flowssymbolic dynamicsMarkov familyAnosov type

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Dynamical systems with hyperbolic behavior (37D99)

Related Items

Closed Orbits of an Anosov Flow and the Fundamental Group ⋮ Amenability, critical exponents of subgroups and growth of closed geodesics ⋮ Critical exponents of normal subgroups, the spectrum of group extended transfer operators, and Kazhdan distance ⋮ The Martin boundary of an extension by a hyperbolic group ⋮ Distribution of closed geodesics with a preassigned homology class in a negatively curved manifold ⋮ Counting finite orbits for the flip systems of shifts of finite type

Cites Work

• Symbolic dynamics for geodesic flows
• The \(\Omega\)-stability theorem for flows
• Markov partitions for Anosov flows on \(n\)-dimensional manifolds
• Symbolic Dynamics for Hyperbolic Flows
• Differentiable dynamical systems
• Markov Partitions for Axiom A Diffeomorphisms