Plurisubharmonic Lyapunov functions

DOI10.1307/mmj/1080837739zbMath1065.37014OpenAlexW2003522688MaRDI QIDQ1885569

Małgorzata Stawiska

Publication date: 11 November 2004

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

Full work available at URL: https://doi.org/10.1307/mmj/1080837739

zbMATH Keywords

Lyapunov functionholomorphic dynamicsrepelling set

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Plurisubharmonic extremal functions, pluricomplex Green functions (32U35)

Related Items

Holomorphic maps on with attracting hypersurfaces and pluricomplex Green functions for their repellers

Cites Work

• Plurisubharmonic functions with logarithmic singularities
• A new capacity for plurisubharmonic functions
• Mesures de Monge-Ampère et mesures pluriharmoniques. (Monge-Ampère measures and pluriharmonic measures)
• The Dirichlet problem for a complex Monge-Ampère equation
• Fatou sets in complex dynamics on projective spaces
• Domaines pseudoconvexes infinis et la métrique riemannienne dans un espace projectif
• Fonction de Green pluriclomplexe à pole à l'infini sur un espace de Stein parabolique et applications.
• Hypersurfaces exceptionnelles des endomorphismes de ??(n)
• Metrics Associated with Extremal Plurisubharmonic Functions
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