Unique Ergodicity of Harmonic Currents on Singular Foliations of P2

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dc.creatorFornaess, John Erik
dc.creatorSibony, Nessim
dc.date2006-06-29
dc.date2009-03-11
dc.date.accessioned2026-07-07T12:50:58Z
dc.date.available2026-07-07T12:50:58Z
dc.descriptionLet F be a holomorphic foliation of P^2 by Riemann surfaces. Assume all the singular points of F are hyperbolic. If F has no algebraic leaf, then there is a unique positive harmonic $(1,1)$ current $T$ of mass one, directed by F. This implies strong ergodic properties for the foliation. We also study the harmonic flow associated to the current $T.$
dc.descriptionImproved exposition
dc.identifierhttps://arxiv.org/abs/math/0606744
dc.identifierhttp://arxiv.org/abs/math/0606744
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/222849
dc.subjectDynamical Systems
dc.subjectComplex Variables
dc.subject32S65; 57R30
dc.titleUnique Ergodicity of Harmonic Currents on Singular Foliations of P2
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