Geometry of currents, intersection theory and dynamics of horizontal-like maps

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dc.creatorDinh, Tien-Cuong
dc.creatorSibony, Nessim
dc.date2004-09-16
dc.date2005-11-22
dc.date.accessioned2026-07-07T06:38:48Z
dc.date.available2026-07-07T06:38:48Z
dc.descriptionWe introduce a geometry on the cone of positive closed currents of bidegree (p,p) and apply it to define the intersection of such currents. We also construct and study the Green currents and the equilibrium measure for horizontal-like mappings. The Green currents satisfy some extremality properties. The equilibrium measure is invariant, mixing and has maximal entropy. It is equal to the intersection of the Green currents associated to the horizontal-like map and to its inverse.
dc.description32 pages, to appear in Ann. Inst. Fourier
dc.identifierhttps://arxiv.org/abs/math/0409272
dc.identifierhttp://arxiv.org/abs/math/0409272
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100868
dc.subjectDynamical Systems
dc.subjectComplex Variables
dc.titleGeometry of currents, intersection theory and dynamics of horizontal-like maps
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