Invariant elliptic curves as attractors in the projective plane
classification
🧮 math.DS
math.CV
keywords
ellipticinvariantstrictlyattractorattractorsbasincurvecurves
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Let f be a rational self-map of P^2 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 is of strictly positive measure.
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