Invariant Elliptic Curves as Attractors in the Projective Plane
Résumé
Let f be a rational self-map of ℙ2 which leaves invariant an elliptic curve C with strictly negative transverse Lyapunov exponent. We show that C is an attractor, i.e. it possesses a dense orbit and its basin has strictly positive measure.
Domaines
Mathématiques [math]
Origine : Fichiers produits par l'(les) auteur(s)
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