Absolute continuity for semi-extremal holomorphic mappings
Absolue continuité pour les applications holomorphes semi-extrémales
Résumé
We study the equilibrium measure µ = T ∧ T of endomorphisms f of CP(2) of degree d ≥ 2, where T is the Green current of f. Dujardin proved that if µ is absolutely continuous with respect to T then f has a minimal Lyapunov exponent [12]. We show the reverse implication under a local uniform assumption on unstable manifolds of the dynamical system.
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