Conditional stability and real analytic pseudo-Anosov maps

DOI10.1090/memo/0321zbMath0572.58018OpenAlexW2070196896MaRDI QIDQ3689911

Marlies Gerber

Publication date: 1985

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/6dcf31f4b4d976c2d265fb72a2e1f4d417bf097b

zbMATH Keywords

topological conjugacymeasured foliationnonuniform hyperbolicityMarkov partitionpseudo-Anosov mapsBernoullian diffeomorphismBernoullian propertyconditional structural stability

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Ergodic theory (37A99) Dynamical systems with hyperbolic behavior (37D99)

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A system of one-dimensional balls with gravity ⋮ Coexistence of chaotic and elliptic behaviors among analytic, symplectic diffeomorphisms of any surface ⋮ On stochastic sea of the standard map ⋮ Analytic uniquely ergodic volume preserving maps on odd spheres ⋮ Lyapunov functions and cone families

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