Dynamics on the space of harmonic functions and the foliated Liouville problem

DOI10.1017/S0143385704000793zbMath1076.37038arXivmath/0207116OpenAlexW2050616793MaRDI QIDQ5695831

Renato Feres, Abdelghani Zeghib

Publication date: 6 October 2005

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

Full work available at URL: https://arxiv.org/abs/math/0207116

zbMATH Keywords

Liouville propertychaoticityaction of subgroups of \(\text{PSL}(2,\mathbb{R})\)

Mathematics Subject Classification ID

Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Related Items (3)

Self‐adjoint Laplacians and symmetric diffusions on hyperbolic attractors ⋮ Continuous leafwise harmonic functions on codimension one transversely isometric foliations ⋮ Harmonic functions on ℝ-covered foliations

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