Jean-Christophe Yoccoz의 정보

수상나이 37
출생년도 1957
사망년도
출생지 France
현재소속 Universite de Paris-Sud
연구실적 [자세히 보기]
관련출판물 1.J Lindenstrauss, L C Evans, A Douady, A Shalev and N Pippenger, Fields Medals and Nevanlinna Prize presented at ICM-94 in Zurich, Notices Amer. Math. Soc. 41 (9) (1994), 1103-1111.

2.A Douady, Presentation de Jean-Christophe Yoccoz, Proceedings of the International Congress of Mathematicians, Zurich, 1994 1 (Basel, 1995), 11-16.

시상내역 Combines an extremely acute geometric intuition, an impressive command of analysis, and a penetrating combinatorial sense to play the chess game at which he excels. Yoccoz has developed a method of combinatorial study of Julia sets and Mandelbrot sets - called "Yoccoz puzzles" - which permit deep insight.
Other Award
연구단행본 [1] Palis, Jacob; Yoccoz, Jean-Christophe Implicit formalism for affine-like maps and parabolic composition. Global analysis of dynamical systems, 67--87, Inst. Phys., Bristol, 2001. 37D25 (37E30)
[2] Yoccoz, Jean-Christophe Dynamique des polynômes quadratiques. (French) [Dynamics of quadratic polynomials] Notes prepared by Marguerite Flexor. Panor. Synthèses, 8, Dynamique et géométrie complexes (Lyon, 1997), x, xii, 187--222, Soc. Math. France, Paris, 1999. 37F10 (30D05)
[3] Géométrie complexe et systèmes dynamiques. [Complex geometry and dynamical systems] Papers from the conference held in honor of Adrien Douady on the occasion of his 60th birthday at the University of Paris-Sud, Orsay, July 3--8, 1995. Edited by Marguerite Flexor, Pierrette Sentenac and Jean-Christophe Yoccoz. Astérisque No. 261 (2000). Société Mathématique de France, Paris, 2000. pp. i--xxii and 1--443. 37-06 (00B30 30-06 32-06 37Fxx)
[4] Cerveau, Dominique; Ghys, Étienne; Sibony, Nessim; Yoccoz, Jean-Christophe Dynamique et géométrie complexes. (French) [Complex dynamics and geometry] Papers from the Meeting "State of the Art of the Research of the Société Mathématique de France" held at École Normale Supérieure de Lyon, Lyon, January 1997. Panoramas et Synthèses [Panoramas and Syntheses], 8. Société Mathématique de France, Paris; distributed by American Mathematical Society, Providence, RI, 1999. xii+222 pp. ISBN: 2-85629-078-7 37-06 (32H50 37Fxx)
[5] Yoccoz, Jean-Christophe Recent developments in dynamics. Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Zürich, 1994), 246--265, Birkhäuser, Basel, 1995. 58F27 (34C27 34C35)
[6] Yoccoz, Jean-Christophe Introduction to hyperbolic dynamics. Real and complex dynamical systems (Hillerød, 1993), 265--291, NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 464, Kluwer Acad. Publ., Dordrecht, 1995. 58F15
[7] Yoccoz, Jean-Christophe An introduction to small divisors problems. From number theory to physics (Les Houches, 1989), 659--679, Springer, Berlin, 1992. 58F27 (11Z50 34A25 34C50 58F05)
[8] Fathi, A.; Herman, M.-R.; Yoccoz, J.-C. A proof of Pesin's stable manifold theorem. Geometric dynamics (Rio de Janeiro, 1981), 177--215, Lecture Notes in Math., 1007, Springer, Berlin, 1983. 58F15 (58F11)
[9] Herman, M.; Yoccoz, J.-C. Generalizations of some theorems of small divisors to non-Archimedean fields. Geometric dynamics (Rio de Janeiro, 1981), 408--447, Lecture Notes in Math., 1007, Springer, Berlin, 1983. 12H25 (58F30)
[10] Yoccoz, J.-C. $C\sp{1}$-conjugaison des difféomorphismes du cercle. (French) [$C\sp{1}$-conjugation of diffeomorphisms of a circle] Geometric dynamics (Rio de Janeiro, 1981), 814--827, Lecture Notes in Math., 1007, Springer, Berlin, 1983. 58F11 (58F99)
[11] Yoccoz, Jean-Christophe Recent developments in dynamics [MR 98e:58146]. Fields Medallists' lectures, 588--609, World Sci. Ser. 20th Century Math., 5, World Sci. Publishing, River Edge, NJ, 1997. 58Fxx (54H20)
연구논문
  • Palis, Jacob; Yoccoz, Jean-Christophe   Non-uniformly hyperbolic horseshoes generated by homoclinic bifurcations and zero density of attractors   C. R. Acad. Sci. Paris S?r. I Math.   333   9   (2001)   867-871   37Cxx, 37Dxx
  • de A. Moreira, Carlos Gustavo T.;Yoccoz, Jean-Christophe   "Corrigendum: ""Stable intersections of regular Cantor sets with large Hausdorff dimensions"""   Ann. of Math. (2)   154   2   (2001)   527   37Dxx, 28A78, 28A80, 37Exx
  • de A. Moreira, Carlos Gustavo T.;Yoccoz, Jean-Christophe   Stable intersections of regular Cantor sets with large Hausdorff dimensions   Ann. of Math. (2)   154   1   (2001)   45-96   37Dxx, 28A78, 28A80, 37Exx
  • Marmi, Stefano;Moussa, Pierre;Yoccoz, Jean-Christophe   Complex Brjuno functions   J. Amer. Math. Soc.   14   4   (2000)   783-841   37Fxx, 11Axx, 46F15
  • Douady, R.;Yoccoz, J.-C.   Rotation number of diffeomorphisms of the circle and automorphic measures   Regul. Chaotic Dyn.   4   4   (1999)   19-38   37Exx, 37Axx, 37Cxx
  • Le Calvez, Patrice;Yoccoz, Jean-Christophe   An index theorem for homeomorphisms of the plane near a fixed point   Ann. of Math. (2)   146   2   (1997)   241-293   58F20, 55M20
  • Palis, J.;Yoccoz, J. C.   On the arithmetic sum of regular Cantor sets   Ann. Inst. H. Poincar? Anal. Non Lin?aire   14   4   (1997)   439-456   58F03, 28A80
  • Marmi, S.;Moussa, P.;Yoccoz, J.-C.   The Brjuno functions and their regularity properties   Comm. Math. Phys.   186   2   (1997)   265-293   58F19, 58F03
  • Yoccoz, Jean-Christophe   Siegel theorem, Bryuno numbers and quadratic polynomials   Asterisque     231   (1995)   3-88   58F23, 30C62, 30D05, 39B12, 58F03
  • Yoccoz, Jean-Christophe   Centralizers and differentiable conjugacy of diffeomorphisms of the circle   Asterisque     231   (1995)   89-242   58F03, 58F08, 58F23
  • P?rez Marco, Ricardo;Yoccoz, Jean-Christophe   Germs of holomorphic foliations with given holonomy   Asterisque     222   (1994)   345-371   58F18, 32L30
  • Carleson, Lennart;Jones, Peter W.;Yoccoz, Jean-Christophe   Julia and John   Bol. Soc. Brasil. Mat. (N.S.)   25   1   (1994)   1-30   30D05, 58F23
  • Palis, Jacob;Yoccoz, Jean-Christophe   Homoclinic tangencies for hyperbolic sets of large Hausdorff dimension   Acta Math.   172   1   (1994)   91-136   58F13, 58F14
  • Yoccoz, Jean-Christophe   Quadratic polynomials and the Henon attractor   Asterisque     201-203   (1991)   143-165   58F11, 34C99, 34D45, 58F13
  • Yoccoz, Jean-Christophe   Works of Herman on invariant tori   Asterisque     206   (1992)   311-344   58F27, 58F05, 58F36
  • Palis, J.;Yoccoz, J.-C.   Differentiable conjugacies of Morse-Smale diffeomorphisms   Bol. Soc. Brasil. Mat. (N.S.)   20   2   (1990)   25-48   58F09
  • Palis, J.;Yoccoz, J.-C.   Centralizers of Anosov diffeomorphisms on tori   Ann. Sci. ?cole Norm. Sup. (4)   22   1   (1989)   99-108   58F15, 58D05
  • Palis, J.;Yoccoz, J.-C.   Rigidity of centralizers of diffeomorphisms   Ann. Sci. ?cole Norm. Sup. (4)   22   1   (1989)   81-98   58F15, 58D05
  • Yoccoz, Jean-Christophe   Nonaccumulation of limit cycles   Asterisque     161-162   (1988)   87-103   58F21, 34C05
  • Yoccoz, Jean-Christophe   Linearization of germs of holomorphic diffeomorphisms of $({bf C},0)$   C. R. Acad. Sci. Paris S?r. I Math.   306   1   (1988)   55-58   58F21
  • Yoccoz, Jean-Christophe   Bifurcations of elliptic fixed points   Asterisque     145-146   (1987)   313-334   58F14, 34C35, 58F13
  • Yoccoz, Jean-Christophe   There are no analytic Denjoy counterexamples   C. R. Acad. Sci. Paris S?r. I Math.   298   7   (1984)   141-144   58F99
  • Yoccoz, J.-C.   Differentiable conjugation of diffeomorphisms of the circle whose rotation number satisfies a Diophantine condition   Ann. Sci. ?cole Norm. Sup. (4)   17   3   (1984)   333-359   58F11
  • Arnoux, Pierre;Yoccoz, Jean-Christophe   Construction de diff?omorphismes pseudo-Anosov   C. R. Acad. Sci. Paris S?r. I Math.   292   1   (1981)   75-78   57R30, 58F15, 58F18
  • Yoccoz, Jean-Christophe   Sur la disparition de propri?t?s de type Denjoy-Koksma en dimension $2$   C. R. Acad. Sci. Paris S?r. A-B   291   13   (1980)   A655-A658   28D05, 58F11
  • Yoccoz, Jean-Christophe   Centralisateur d'un diff?omorphisme du cercle dont le nombre de rotation est irrationnel   C. R. Acad. Sci. Paris S?r. A-B   291   9   (1980)   A523-A526   58F11, 28D99