WorldCat Identities

Yoccoz, Jean-Christophe

Overview
Works: 56 works in 141 publications in 3 languages and 1,540 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Editor, Thesis advisor, Opponent, Interviewee, 958
Classifications: QA614.83, 510
Publication Timeline
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Most widely held works about Jean-Christophe Yoccoz
 
Most widely held works by Jean-Christophe Yoccoz
Dynamical systems and small divisors : lectures given at the C.I.M.E. Summer School, held in Cetraro, Italy, June 13-20, 1998 by L. H Eliasson( Book )

13 editions published in 2002 in English and held by 278 WorldCat member libraries worldwide

Many problems of stability in the theory of dynamical systems face the difficulty of small divisors. The most famous example is probably given by Kolmogorov-Arnold-Moser theory in the context of Hamiltonian systems, with many applications to physics and astronomy. Other natural small divisor problems arise considering circle diffeomorphisms or quasiperiodic Schroedinger operators. In this volume Hakan Eliasson, Sergei Kuksin and Jean-Christophe Yoccoz illustrate the most recent developments of this theory both in finite and infinite dimension. A list of open problems (including some problems contributed by John Mather and Michel Herman) has been included
Geometric methods in dynamics : volume in honor of Jacob Palis by International Conference on Dynamical Systems( Book )

15 editions published between 2002 and 2003 in English and French and held by 182 WorldCat member libraries worldwide

Géométrie complexe et systèmes dynamiques : colloque en l'honneur d'Adrien Douady, Orsay 1995( Book )

9 editions published in 2000 in English and French and held by 164 WorldCat member libraries worldwide

Petits diviseurs en dimension 1 by Jean-Christophe Yoccoz( Book )

11 editions published in 1995 in 3 languages and held by 163 WorldCat member libraries worldwide

Les mathématiques dans le monde scientifique contemporain by Jean-Christophe Yoccoz( Book )

7 editions published between 2005 and 2006 in French and held by 78 WorldCat member libraries worldwide

Dynamical systems : Michael Herman memorial volume by Albert Fathi( Book )

7 editions published in 2006 in English and held by 78 WorldCat member libraries worldwide

"Michael Robert Herman had a profound impact on the theory of dynamical systems over the last 30 years. His seminar at the Ecole Polytechnique had major worldwide influence and was the main vector in the development of the theory of dynamical systems in France. His interests covered most aspects of the subject, though closest to his heart were the so-called small divisors problems, in particular those related to the stability of quasiperiodic motions. This volume aims to reflect the depth and variety of these interests and the frontier of present research; a frontier shaped decisively by Michael Herman's contributions."--Jacket
Arithmétique by André Warusfel( Book )

2 editions published in 2002 in French and held by 77 WorldCat member libraries worldwide

Probabilités by André Warusfel( Book )

2 editions published in 2002 in French and held by 71 WorldCat member libraries worldwide

Géométrie by André Warusfel( Book )

2 editions published in 2002 in French and held by 68 WorldCat member libraries worldwide

Analyse by P Attali( Book )

2 editions published in 2002 in French and held by 64 WorldCat member libraries worldwide

Centralisateurs et conjugaison différentiable des difféomorphismes du cercle by Jean-Christophe Yoccoz( Book )

5 editions published in 1985 in French and held by 20 WorldCat member libraries worldwide

Cours de topologie calcul différentiel, équations différentielles pour la licence MAF by Jean-Christophe Yoccoz( Book )

3 editions published between 1990 and 1994 in French and held by 17 WorldCat member libraries worldwide

Non-uniformly hyperbolic horseshoes arising from bifurcations of Poincaré heteroclinic cycles by Jacob Palis Júnior( Book )

6 editions published between 2006 and 2009 in English and held by 11 WorldCat member libraries worldwide

Petits diviseurs en dimension by Jean-Christophe Yoccoz( Book )

in French and held by 7 WorldCat member libraries worldwide

Simplicial nonpositive curvature. Periodic orbits and chain-transitive sets of C 1-diffeomorphisms / by Sylvain Crovisier [u.a.] by Tadeusz Januszkiewicz( Book )

4 editions published in 2006 in English and Undetermined and held by 6 WorldCat member libraries worldwide

Small divisors in one dimension by Jean-Christophe Yoccoz( Book )

2 editions published between 2000 and 2008 in Undetermined and English and held by 5 WorldCat member libraries worldwide

Accouplements des polynômes complexes by Lei Tan( Book )

1 edition published in 1987 in French and held by 4 WorldCat member libraries worldwide

Soient f et g deux polynômes quadratiques complexes moniques. On prend deux exemplaires du plan complexe, on les compactifie en ajoutant un cercle à l'infini, on recolle ces deux cercles et on obtient une sphère topologique S. en faisant opérer f et g sur chacun des hémisphères, on peut obtenir une application f de s dans elle-même. C'est un revêtement ramifié qu'on appelle l'accouplement topologique de f et g. la réunion des orbites directes par f des points critiques est l'ensemble postcritique de F. Thurston a défini une équivalence entre revêtements ramifiés à ensemble postcritique fini. On dit que f et g sont accouplables si f (modifié dans certains cas) est équivalent au sens de Thurston a une fraction rationnelle. Si f et g sont accouplables, on peut obtenir la sphère en collant les ensembles de Julia remplis de f et g. Les polynômes quadratiques à ensemble postcritique borné sont paramétrés par l'ensemble de Mandelbrot M. Soit W l'adhérence de la composante principale de l'intérieur de M. Si les paramètres de f et g sont dans des composantes conjuguées de M-W, alors f et g ne sont pas accouplables. Douady et Hubbard ont conjecturé qu'ils sont accouplables dans tous les autres cas. Nous démontrons ici cette conjecture, en utilisant le critère de Thurston, et en nous appuyant sur les travaux de Silvio Levy et de Mary Rees. Ce résultat s'étend aux polynômes de degré quelconque ayant un seul point critique
A proof of Pesin's stable manifold theorem by Albert Fathi( Book )

3 editions published in 1981 in English and held by 4 WorldCat member libraries worldwide

Complex dynamics : families and friends by Dierk Schleicher( Book )

1 edition published in 2009 in English and held by 4 WorldCat member libraries worldwide

""Front Cover ""; ""Table of Contents ""; ""Foreword""; ""Introduction""; ""Chapter 1 ""; ""Chapter 2 ""; ""Chapter 3""; ""Chapter 4 ""; ""Chapter 5 ""; ""Chapter 6 ""; ""Chapter 7 ""; ""Chapter 8 ""; ""Chapter 9 ""; ""Chapter 10 ""; ""Chapter 11 ""; ""Chapter 12 ""; ""Chapter 13 ""; ""Chapter 14 ""; ""Chapter 15 ""; ""Chapter 16 ""; ""Chapter 17 ""; ""Contributors""; ""Back Cover ""
Sur la dynamique des germes de difféomorphismes holomorphes de (C, 0) et des difféomorphismes analytiques du cercle by Ricardo Perez-Marco( Book )

1 edition published in 1990 in French and held by 4 WorldCat member libraries worldwide

SI UN NOMBRE REEL IRRATIONNEL NE SATISFAIT PAS UNE CERTAINE CONDITION DIOPHANTIENNE, ON CONSTRUIT UN GERME HOLOMORPHE NON-LINEARISABLE F(Z)=Z+O(Z#2), =E#2##I#, SANS AUTRE ORBITE PERIODIQUE QUE O. CETTE CONDITION EST OPTIMALE: SI ELLE N'EST PAS VERIFIEE ET F(Z)=Z+O(Z#2) EST NON-LINEARISABLE, ON MONTRE L'EXISTENCE D'UNE SUITE D'ORBITES PERIODIQUES DE F TENDANT VERS O. ON ETUDIE LE MEME PROBLEME LORSQUE F EST UN DIFFEOMORPHISME DU CERCLE R-ANALYTIQUE DE NOMBRE DE ROTATION . LORSQUE NE SATISFAIT PAS UNE CERTAINE CONDITION DIOPHANTIENNE ON CONSTRUIT, REPONDANT AINSI A UNE QUESTION DE V. I. ARNOLD, UN DIFFEOMORPHISME DU CERCLE R-ANALYTIQUE NON-LINEARISABLE DE NOMBRE DE ROTATION DONT TOUT PROLONGEMENT ANALYTIQUE EST SANS ORBITES PERIODIQUES. ON ETUDIE AUSSI LE CAS DES GERMES F(Z)=Z+O(Z#2) POLYNOMIAUX. DANS CE CADRE ON MONTRE, EN UTILISANT UN RESULTAT DE YOCCOZ POUR LE POLYNOME QUADRATIQUE, QUE LORSQUE N'EST PAS UN NOMBRE DE BRJUNO TOUT GERME POLYNOMIAL P(Z)=Z+A#2Z#2+...+A#DZ#D STRUCTURELLEMENT STABLE (L'ENSEMBLE DE TELS POLYNOMES DE DEGRE INFERIEUR OU EGAL A D EST UN OUVERT DENSE DE L'ESPACE DES PARAMETRES (A#2,...,A#D),#.##1) A UNE SUITE D'ORBITES PERIODIQUES TENDANT VERS O ET DONC N'EST PAS LINEARISABLE
 
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Dynamical systems and small divisors : lectures given at the C.I.M.E. Summer School, held in Cetraro, Italy, June 13-20, 1998
Alternative Names
Ioannes Christophorus Yoccoz

Jean-Christophe Yoccoz francia matematikus

Jean-Christophe Yoccoz Frans wiskundige

Jean-Christophe Yoccoz französischer Mathematiker

Jean-Christophe Yoccoz French mathematician and Fields Medalist

Jean-Christophe Yoccoz matematician francez

Jean-Christophe Yoccoz matematico francese

Yoccoz, J.-C.

Yoccoz, J.-C. (Jean-Christophe)

Yoccoz, Jean-Christophe

Жан-Крістоф Йокко

Йокко, Жан-Кристоф

جان كريستوف يوكوز

جان کرسٹوف یوکوز

장크리스토프 요코즈

ジャン=クリストフ・ヨッコス

讓-克里斯托夫·約科茲

Languages
English (53)

French (42)

Italian (1)

Covers
Géométrie complexe et systèmes dynamiques : colloque en l'honneur d'Adrien Douady, Orsay 1995Dynamical systems : Michael Herman memorial volumeComplex dynamics : families and friends