Decay of volumes under iteration of meromorphic mappings

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2004 English Publisher:MathDoc/Centre MersenneJournal:Annales de l'Institut Fourier, volume 54, pages 2,369-2,386 (eissn: 1777-5310,

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Authors: Guedj, Vincent;

doi: 10.5802/aif.2083

Decay of volumes under iteration of meromorphic mappings

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Abstract

Let f be a meromorphic self-mapping of a compact Kähler manifold. We study the rate of decreasing of volumes under the iteration of f . We use these volume estimates to construct the Green current of f in a quite general setting.

Keywords

Green's currents, meromorphic mappings, Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables, volumes estimates, Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets

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