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C. R. Acad. Sci. Paris, t. 332, Serie I, p. 1??, 2001 -PXMA????.TEX -Rubrique/Heading
 

Summary: C. R. Acad. Sci. Paris, t. 332, S´erie I, p. 1­??, 2001 - PXMA????.TEX -
Rubrique/Heading
(Sous-rubrique/Sub-Heading)
Bifurcations d'applications unimodales
Artur AVILA
Coll`ege de France, 3 rue d'Ulm, 75005 ­ Paris
(Rec¸u le jour mois ann´ee, accept´e apr`es r´evision le jour mois ann´ee)
R´esum´e. Dans les familles non-triviales d'applications unimodales presque tout param`etre a de bonnes
propri´et´es statistiques. Ceci d´ecoule de la structure d'espaces de Banach d'applications
unimodales analytiques et de la relation de phase-param`etre des bifurcations g´en´eriques.
c2001 Acad´emie des sciences/´Editions scientifiques et m´edicales Elsevier SAS
Bifurcations of unimodal maps
Abstract. In non-trivial analytic families of unimodal maps, the dynamics of almost every parameter
has a good stochastic description. c2001 Acad´emie des sciences/´Editions scientifiques
et m´edicales Elsevier SAS
Abridged English version
1. Introduction
A unimodal map is a ¾ map Á Á, Á ½ ½, which has one unique critical point ¾ ÒØÁ and
such that ´ ½µ ´½µ ½. The main examples of unimodal maps are supplied by the quadratic family
´Üµ ´½ ܾµ ½, ½ ¾ ¾.

  

Source: Avila, Artur - Instituto Nacional de Matemática Pura e Aplicada (IMPA)

 

Collections: Mathematics