The closing lemma for holomorphic maps

DOI10.1017/S0143385797086227zbMath0965.37046OpenAlexW2111032614WikidataQ124981948 ScholiaQ124981948MaRDI QIDQ4353837

Nessim Sibony, John-Erik Fornaess

Publication date: 19 November 2000

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

Full work available at URL: https://doi.org/10.1017/s0143385797086227

zbMATH Keywords

holomorphic mapsHamiltonianclosing lemma

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Generic properties, structural stability of dynamical systems (37C20) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25)

Related Items (10)

Classification of recurrent domains for some holomorphic maps ⋮ The first thirty years of Andersén-Lempert theory ⋮ Closing lemmas ⋮ Study of hyperbolic measures for meromorphic maps ⋮ Chaotic holomorphic automorphisms of Stein manifolds with the volume density property ⋮ Dynamics of transcendental Hénon maps. II ⋮ ATTRACTING BASINS OF VOLUME PRESERVING AUTOMORPHISMS OF ℂ^k ⋮ On closed invariant sets in local dynamics ⋮ Generic aspects of holomorphic dynamics on highly flexible complex manifolds ⋮ Dynamics of generic endomorphisms of Oka-Stein manifolds

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