Notes originales digitalisées

1. Suite des indices de Lefschetz des itérés pour un domaine de Jordan qui est un bloc isolant (avec Patrice Le Calvez) : Version latex.


2. Examples of Rauzy Classes (Typographie, corrections mineures dans les notes de bas de page et commentaires sont dus à C. Boissy) : Version latex.


3. Sur la taille des membres de l'ensemble de Mandelbrot: Texte original, Version latex.


4. Structure des orbites des homéomorphismes analytiques possédant un point critique: Texte original, Version latex.


5. Description conjecturale des configurations centrales dans le problème planaire de 4 corps: Texte original, Version latex , Notes de Chenciner d'un exposé de Yoccoz


6. Nigel Gilles Yoccoz  is a quantitative ecologist interested in populations of small mammals. In 1996 he contacted his eldest brother (Jean-Christophe Yoccoz) to ask some questions about potential models for the evolution of certain populations of rodents. Below you will find some letters exchanged by Gilles and Jean-Christophe on such models, some notes by Jean-Christophe on the dynamics of these models (including some strategies to find strange attractors in them), and also two links to related work by Arlot and Nieto--Pacifico--Vieitez. 


• Letters (in French) from Jean-Christophe to Gilles: Lettre du 10 Octobre 1996, Lettre du 11 Octobre 1996, Lettre du 14 Octobre 1996.


• Notes by Jean-Christophe on population dynamics: Some models in population dynamics.


• Notes by Jean-Christophe on a numerical toy model:  Original text, Latex version.


• Informal commentaries by Jean-Christophe on numerical experiments (performed together with H. Birkeland) with a toy model  Original text, Latex version.


• Links towards related works: Arlot's Master dissertation (under the direction of Jean-Christophe); Nieto--Pacifico--Vieitez paper on Birkeland--Yoccoz model.