Yoccoz, JeanChristophe
Overview
Works:  61 works in 144 publications in 3 languages and 1,513 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Thesis advisor, Opponent, Interviewee 
Classifications:  QA614.83, 510 
Publication Timeline
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Most widely held works about
JeanChristophe Yoccoz
 Et vivent les maths! : Mathématiques by Herv Livre( Visual )
 Yoccoz, JeanChristophe : mathematics( )
Most widely held works by
JeanChristophe Yoccoz
Dynamical systems and small divisors : lectures given at the C.I.M.E. Summer School, held in Cetraro, Italy, June 1320, 1998 by
L. H Eliasson(
Book
)
11 editions published in 2002 in English and held by 276 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 KolmogorovArnoldMoser 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 JeanChristophe 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
11 editions published in 2002 in English and held by 276 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 KolmogorovArnoldMoser 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 JeanChristophe 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
Petits diviseurs en dimension 1 by
JeanChristophe Yoccoz(
Book
)
11 editions published in 1995 in 3 languages and held by 161 WorldCat member libraries worldwide
11 editions published in 1995 in 3 languages and held by 161 WorldCat member libraries worldwide
Géométrie complexe et systèmes dynamiques : colloque en l'honneur d'Adrien Douady, Orsay 1995(
Book
)
7 editions published in 2000 in English and French and held by 159 WorldCat member libraries worldwide
7 editions published in 2000 in English and French and held by 159 WorldCat member libraries worldwide
Geometric methods in dynamics : volume in honor of Jacob Palis by International Conference on Dynamical Systems(
Book
)
10 editions published between 2002 and 2003 in English and French and held by 146 WorldCat member libraries worldwide
10 editions published between 2002 and 2003 in English and French and held by 146 WorldCat member libraries worldwide
Les mathématiques dans le monde scientifique contemporain by
JeanChristophe Yoccoz(
Book
)
8 editions published between 2005 and 2006 in French and held by 79 WorldCat member libraries worldwide
8 editions published between 2005 and 2006 in French and held by 79 WorldCat member libraries worldwide
Dynamical systems : Michael Herman memorial volume by
Albert Fathi(
Book
)
7 editions published in 2006 in English and held by 75 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 socalled 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
7 editions published in 2006 in English and held by 75 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 socalled 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
Andr Warusfel(
Book
)
2 editions published in 2002 in French and held by 72 WorldCat member libraries worldwide
2 editions published in 2002 in French and held by 72 WorldCat member libraries worldwide
Probabilités by
Andr Warusfel(
Book
)
2 editions published in 2002 in French and held by 69 WorldCat member libraries worldwide
2 editions published in 2002 in French and held by 69 WorldCat member libraries worldwide
Géométrie by
Andr Warusfel(
Book
)
2 editions published in 2002 in French and held by 67 WorldCat member libraries worldwide
2 editions published in 2002 in French and held by 67 WorldCat member libraries worldwide
Analyse(
Book
)
2 editions published in 2002 in French and held by 65 WorldCat member libraries worldwide
2 editions published in 2002 in French and held by 65 WorldCat member libraries worldwide
Centralisateurs et conjugaison différentiable des difféomorphismes du cercle by
JeanChristophe Yoccoz(
Book
)
5 editions published in 1985 in French and held by 20 WorldCat member libraries worldwide
5 editions published in 1985 in French and held by 20 WorldCat member libraries worldwide
Geometric methods in dynamics. volume in honor of Jacob Palis by Conférence internationale sur les systèmes dynamiques(
Book
)
2 editions published in 2003 in English and held by 19 WorldCat member libraries worldwide
2 editions published in 2003 in English and held by 19 WorldCat member libraries worldwide
Cours de topologie calcul différentiel, équations différentielles pour la licence MAF by
JeanChristophe Yoccoz(
Book
)
3 editions published between 1990 and 1994 in French and held by 17 WorldCat member libraries worldwide
3 editions published between 1990 and 1994 in French and held by 17 WorldCat member libraries worldwide
Geometric methods in dynamics. volume in honor of Jacob Palis by Conférence internationale sur les systèmes dynamiques(
Book
)
2 editions published in 2003 in English and held by 16 WorldCat member libraries worldwide
2 editions published in 2003 in English and held by 16 WorldCat member libraries worldwide
Nonuniformly hyperbolic horseshoes arising from bifurcations of Poincaré heteroclinic cycles by
Jacob Palis Jnior(
Book
)
6 editions published between 2006 and 2009 in English and held by 11 WorldCat member libraries worldwide
6 editions published between 2006 and 2009 in English and held by 11 WorldCat member libraries worldwide
Petits diviseurs en dimension by
JeanChristophe Yoccoz(
Book
)
in French and held by 6 WorldCat member libraries worldwide
in French and held by 6 WorldCat member libraries worldwide
Simplicial nonpositive curvature by
Lech Tadeusz Januszkiewicz(
Book
)
4 editions published in 2006 in English and Undetermined and held by 6 WorldCat member libraries worldwide
4 editions published in 2006 in English and Undetermined and held by 6 WorldCat member libraries worldwide
Small divisors in one dimension by
JeanChristophe Yoccoz(
Book
)
2 editions published between 2000 and 2008 in Undetermined and English and held by 5 WorldCat member libraries worldwide
2 editions published between 2000 and 2008 in Undetermined and English and held by 5 WorldCat member libraries worldwide
Complex dynamics : families and friends(
Book
)
1 edition published in 2009 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 2009 in English and held by 4 WorldCat member libraries worldwide
Sur la dynamique des germes de difféomorphismes holomorphes de (C, 0) et des difféomorphismes analytiques du cercle by
Ricardo PerezMarco(
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 NONLINEARISABLE 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 NONLINEARISABLE, 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 RANALYTIQUE 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 RANALYTIQUE NONLINEARISABLE 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
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 NONLINEARISABLE 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 NONLINEARISABLE, 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 RANALYTIQUE 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 RANALYTIQUE NONLINEARISABLE 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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Related Identities
 Marmi, S. (Stefano) 1963 Editor
 Eliasson, L. H. (L. Hakan) 1952 Author
 Warusfel, André Author
 Attali, Paul
 Viana, Marcelo Editor
 Melo, Welington de Editor
 Sentenac, Pierrette Editor
 Flexor, Marguerite Editor
 Palis Júnior, Jacob Author Dedicatee
 Douady, Adrien Opponent Thesis advisor
Useful Links
Associated Subjects
Automorphisms Bifurcation theory Bourgain, Jean Canada Curvature Diffeomorphisms Differentiable dynamical systems Differential equations Dynamics Functions of complex variables Geometric function theory Geometric group theory Geometry, Differential Hamiltonian systems Holomorphic functions Holomorphic mappings Mathematics Operator theory Polycyclic groups Polynomials Quasiconformal mappings ScienceMathematics Scientists Small divisors Stability United States Yoccoz, JeanChristophe
Alternative Names
Ioannes Christophorus Yoccoz
JeanChristophe Yoccoz franzsischer Mathematiker
JeanChristophe Yoccoz French mathematician and Fields Medalist
JeanChristophe Yoccoz matematico francese
Yoccoz, J.C.
Yoccoz, J.C. (JeanChristophe)
Yoccoz, JeanChristophe
ЖанКрістоф Йокко
Йокко, ЖанКристоф
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
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