Super-potentials for currents on compact Kaehler manifolds and dynamics of automorphisms

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dc.creatorDinh, Tien-Cuong
dc.creatorSibony, Nessim
dc.date2008-04-05
dc.date.accessioned2026-07-07T09:30:42Z
dc.date.available2026-07-07T09:30:42Z
dc.descriptionWe introduce a notion of super-potential (canonical function) associated to positive closed (p,p)-currents on compact Kaehler manifolds and we develop a calculus on such currents. One of the key points in our study is the use of deformations in the space of currents. As an application, we obtain several results on the dynamics of holomorphic automorphisms: regularity and uniqueness of the Green currents. We also get the regularity, the entropy, the ergodicity and the hyperbolicity of the equilibrium measures.
dc.description53 pages
dc.identifierhttps://arxiv.org/abs/0804.0860
dc.identifierhttp://arxiv.org/abs/0804.0860
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158203
dc.subjectDynamical Systems
dc.subjectComplex Variables
dc.subject37F, 32H50, 32U40
dc.titleSuper-potentials for currents on compact Kaehler manifolds and dynamics of automorphisms
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