Emergence and non-typicality of the finiteness of the attractors in many topologies

Author:

Berger Pierre

Publisher

Pleiades Publishing Ltd

Subject

Mathematics (miscellaneous)

Reference29 articles.

1. D. V. Anosov, Geodesic Flows on Closed Riemann Manifolds with Negative Curvature (Nauka, Moscow, 1967), Tr. Mat. Inst. im. V.A. Steklova, Akad. Nauk SSSR 90 [Proc. Steklov Inst. Math. 90 (1967)].

2. M. Asaoka, “Hyperbolic sets exhibiting C1-persistent homoclinic tangency for higher dimensions,” Proc. Am. Math. Soc. 136 (2), 677–686 (2008).

3. M. Benedicks and L. Carleson, “The dynamics of the Hénon map,” Ann. Math., Ser. 2, 133 (1), 73–169 (1991).

4. M. Benedicks and L.-S. Young, “Sinai–Bowen–Ruelle measures for certain Hénon maps,” Invent. Math. 112 (3), 541–576 (1993).

5. P. Berger, “Abundance of non-uniformly hyperbolic Hénon like endomorphisms,” arXiv: 0903.1473 [math.DS].

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