Dynamics of two-dimensional Blaschke products

DOI10.1017/S0143385707000752zbMath1143.37034OpenAlexW2036576352MaRDI QIDQ5387247

Michael Shub, Enrique R. Pujals

Publication date: 8 May 2008

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

Full work available at URL: https://doi.org/10.1017/s0143385707000752

zbMATH Keywords

rational maphyperbolic dynamicsAnosov systemexpanding attractorBlaschke product diffeomorphism

Mathematics Subject Classification ID

Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items

Explicit examples of resonances for Anosov maps of the torus ⋮ Dynamics of low-degree rational inner skew-products on $\mathbb{T}^2$ ⋮ Dynamic mode decomposition for analytic maps ⋮ Complete spectral data for analytic Anosov maps of the torus

Cites Work

• A remark on the Lefschetz fixed point formula for differentiable maps
• Homoclinic tangencies and hyperbolicity for surface diffeomorphisms
• Dynamics beyond uniform hyperbolicity. A global geometric and probabilistic perspective
• There are No New Anosov Diffeomorphisms on Tori
• Expanding maps of the circle rerevisited: positive Lyapunov exponents in a rich family

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