Agenda de l’IDP

GT ADG-Systèmes Dynamiques

Groupe de lecture de l'article "Monotonicity of entropy and positively oriented transversality for families of interval maps" (Levin-van Strien-Shen)
Matthieu Astorg
Tuesday 07 February 2017 14:00 -  Orléans -  Salle de Séminaire

Résumé :
Le but est de commencer à exposer un article récent de G. Levin, S. van Strien et W. Shen sur la transversalité des relations critiques et la monotonicité de l'entropie pour différentes familles de systèmes dynamiques à un paramètre réel. "In this paper we will develop a very general approach which shows that critical relations of holomorphic maps on the complex plane unfold transversally in a positively oriented way. We will mainly illustrate this approach to obtain transversality for a wide class of one-parameter families of interval maps, for example maps with flat critical points, piecewise linear maps, maps with discontinuities but also for families of maps with complex analytic extensions such as certain polynomial-like maps."

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