[图书][B] Dynamics in one complex variable.(AM-160):(AM-160)-

J Milnor - 2011 - books.google.com
This volume studies the dynamics of iterated holomorphic mappings from a Riemann
surface to itself, concentrating on the classical case of rational maps of the Riemann sphere …

[图书][B] Dynamics beyond uniform hyperbolicity: A global geometric and probabilistic perspective

C Bonatti, LJ Díaz, M Viana - 2004 - books.google.com
In broad terms, the goal of dynamics is to describe the long-term evolution of systems for
which an" infinitesimal" evolution rule, such as a differential equation or the iteration of a …

[PDF][PDF] Dynamique des applications rationnelles de Pk

N Sibony - Dynamique et géométrie complexes (Lyon, 1997), 1999 - academia.edu
On se propose d'exposer les premiers éléments d'une théorie de Fatou-Julia pour les
applications rationnelles dans Pk. On considere essentiellement les aspects utilisant la …

Prevalence

BR Hunt, VY Kaloshin - Handbook of dynamical systems, 2010 - Elsevier
This article surveys results and conjectures in dynamical systems and other areas that
describe properties of 'almost every'function in some space, using a probabilistic (or …

Stability and bifurcations for dissipative polynomial automorphisms of

R Dujardin, M Lyubich - Inventiones mathematicae, 2015 - Springer
We study stability and bifurcations in holomorphic families of polynomial automorphisms of
C^ 2 C 2. We say that such a family is weakly stable over some parameter domain if periodic …

Dynamical stability and Lyapunov exponents for holomorphic endomorphisms of 

F Berteloot, F Bianchi, C Dupont - Annales Scientifiques de l'École …, 2018 - numdam.org
R.–Nous introduisons une notion de stabilité pour les mesures d'équilibre des
familles holomorphes d'endomorphismes de Pk et démontrons qu'elle est équivalente à la …

Non-density of stability for holomorphic mappings on 

R Dujardin - Journal de l'École polytechnique-Mathématiques, 2017 - numdam.org
A well-known theorem due to Mañé-Sad-Sullivan and Lyubich asserts that J-stable maps
are dense in any holomorphic family of rational maps in dimension 1. In this paper we show …

Blenders near polynomial product maps of C2

J Taflin - preprint, 2017 - ems.press
In this paper we show that if p is a polynomial of degree d 2 possessing a neutral periodic
point then a product map of the form. z; w/7!. pz/; qw//can be approximated by polynomial …

[PDF][PDF] Propriétés ergodiques des applications rationnelles

V Guedj - Quelques aspects des systèmes dynamiques …, 2010 - perso.univ-rennes1.fr
Résumé Soit f: X→ X une transformation rationnelle d'une variété projective complexe
compacte. Nous étudions la dynamique d'une telle application d'un point de vue statistique …

Latt {\e} s maps and the interior of the bifurcation locus

S Biebler - arXiv preprint arXiv:1801.06339, 2018 - arxiv.org
We show the existence of open sets of bifurcations near Latt {\e} s maps of sufficiently high
degree. In particular, every Latt {\e} s map has an iterate which is in the closure of the interior …