Laminar currents and birational dynamics

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dc.creatorDujardin, Romain
dc.date2004-09-28
dc.date2005-06-07
dc.date.accessioned2026-07-07T05:12:40Z
dc.date.available2026-07-07T05:12:40Z
dc.descriptionWe study the dynamics of a bimeromorphic selfmap of a compact complex Kähler surface $X$. Under a natural geometric hypothesis, we construct an invariant probability measure, which is mixing, hyperbolic and of maximal entropy. The proof relies heavily on the theory of laminar currents and is new even in the case of polynomial automorphisms of $\mathbb{C}^2$. This extends recent results by E. Bedford and J. Diller.
dc.descriptionAdded more preliminaries on laminar currents and other minor corrections. To appear in Duke Math. J
dc.identifierhttps://arxiv.org/abs/math/0409557
dc.identifierhttp://arxiv.org/abs/math/0409557
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72661
dc.subjectDynamical Systems
dc.subjectComplex Variables
dc.subject37Fxx
dc.titleLaminar currents and birational dynamics
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