Dynamics of horizontal-like maps in higher dimension

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dc.creatorDinh, T. -C.
dc.creatorNguyen, V. -A.
dc.creatorSibony, N.
dc.date2007-10-22
dc.date2008-09-06
dc.date.accessioned2026-07-07T10:00:45Z
dc.date.available2026-07-07T10:00:45Z
dc.descriptionWe study the regularity of the Green currents and of the equilibrium measure associated to a horizontal-like map in C^k, under a natural assumption on the dynamical degrees. We estimate the speed of convergence towards the Green currents, the decay of correlations for the equilibrium measure and the Lyapounov exponents. We show in particular that the equilibrium measure is hyperbolic. We also show that the Green currents are the unique invariant vertical and horizontal positive closed currents. The results apply, in particular, to Henon-like maps, to regular polynomial automorphisms of C^k and to their small pertubations.
dc.descriptionDedicated to Professor Gennadi Henkin on the occasion of his 65th birthday, 37 pages, to appear in Advances in Math
dc.identifierhttps://arxiv.org/abs/0710.4007
dc.identifierhttp://arxiv.org/abs/0710.4007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168412
dc.subjectDynamical Systems
dc.subjectComplex Variables
dc.subject37F (Primary), 32U40, 32H50 (Secondary)
dc.titleDynamics of horizontal-like maps in higher dimension
dc.typetext

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