@incollection{AST_2003__287__147_0, author = {Rivera-Letelier, Juan}, title = {Dynamique des fonctions rationnelles sur des corps locaux}, booktitle = {Geometric methods in dynamics (II) : Volume in honor of Jacob Palis}, editor = {de Melo, Wellington and Viana, Marcelo and Yoccoz, Jean-Christophe}, series = {Ast\'erisque}, pages = {147--230}, publisher = {Soci\'et\'e math\'ematique de France}, number = {287}, year = {2003}, mrnumber = {2040006}, zbl = {1140.37336}, language = {fr}, url = {http://archive.numdam.org/item/AST_2003__287__147_0/} }
TY - CHAP AU - Rivera-Letelier, Juan TI - Dynamique des fonctions rationnelles sur des corps locaux BT - Geometric methods in dynamics (II) : Volume in honor of Jacob Palis AU - Collectif ED - de Melo, Wellington ED - Viana, Marcelo ED - Yoccoz, Jean-Christophe T3 - Astérisque PY - 2003 SP - 147 EP - 230 IS - 287 PB - Société mathématique de France UR - http://archive.numdam.org/item/AST_2003__287__147_0/ LA - fr ID - AST_2003__287__147_0 ER -
%0 Book Section %A Rivera-Letelier, Juan %T Dynamique des fonctions rationnelles sur des corps locaux %B Geometric methods in dynamics (II) : Volume in honor of Jacob Palis %A Collectif %E de Melo, Wellington %E Viana, Marcelo %E Yoccoz, Jean-Christophe %S Astérisque %D 2003 %P 147-230 %N 287 %I Société mathématique de France %U http://archive.numdam.org/item/AST_2003__287__147_0/ %G fr %F AST_2003__287__147_0
Rivera-Letelier, Juan. Dynamique des fonctions rationnelles sur des corps locaux, dans Geometric methods in dynamics (II) : Volume in honor of Jacob Palis, Astérisque, no. 287 (2003), pp. 147-230. http://archive.numdam.org/item/AST_2003__287__147_0/
[AV] Geometry of -adic Siegel discs. Phys. D 71 #1-2 (1994), 222-236. | MR | Zbl
, .[Be] Fatou components in p-adic dynamics. Thesis, Brown University 1998. | MR
.[CG] Complex dynamics. Springer-Verlag 1991. | MR | Zbl
, .[Ca] Local fields. LMS student texts 3. Cambridge Univ. Press (1986). | MR | Zbl
.[DH] On the dynamics of polynomial-like mappings. Ann. Scient. Éc. Norm. Sup 18 (1985), 287-343. | EuDML | Numdam | MR | Zbl
, .[Ecl] Théorie des invariants holomorphes. Thèse d'état, Orsay, Mars 1974.
.[Ecl] Théorie itérative : introduction à la théorie des invariants holomorphes. J. math, pures et appl. 54 (1975), 183-258. | MR | Zbl
. Voir aussi[Ep] Infinitesimal Thurston rigidity and the Fatou-Shishikura inequality. IMS preprint #1999 / 1.
.[Es] Algèbres de Banach ultramétriques et algèbres de Krasner-Tate. Astérisque 10 (1973). | Numdam | MR | Zbl
.[Fa] Sur les équations fonctionelles. Bull. Soc. Math. France 47 (1919), 161-217. | EuDML | JFM | Numdam | MR
.[FvP] Géométrie Analytique rigide et applications. PM 18, Birkhäuser 1981. | MR | Zbl
, .[GvP] Schottky groups and Mumford carves. LMN 817, Springer-Verlag Berlin-Heidelberg-New York, 1980. | MR | Zbl
, .[GH] Sur les groupes hyperboliques d'après . Edité par E. Ghys et P. de la Harpe. Progress in Mathematics, 83. Birkhauser Boston, Inc., Boston, MA, 1990. | MR | Zbl
[Gu] Sensitive dependence on initial conditions for one dimensional maps. Comm. Math. Phys. 70 (1979), 133-160. | MR | Zbl
.[HY] Generalisations of some therorems of small divisors to non-Archimedean fields. Geometric Dynamics (Rio de Janeiro, 1981), LMN 1007, Springer-Verlag Berlin-New York, (1983), 408-447. | MR | Zbl
, .[Hs] Closure of periodic points over a non-Archimidean field. J. London Math. Soc. 62 (2000), 685-700. | MR | Zbl
.[Ke] Automorphisms and extensions of . J. Number Th. 41 (1992), 314-321. | MR | Zbl
.[Ku] Functional equations in a simple variable. Monografie Mat. 46 (1968). | MR | Zbl
.[La] Systèmes dynamiques holomorphes : explosion de points périodiques paraboliques. Thèse, Université de Paris-Sud, 1989.
.[Le] Invariant sets of morphisms on projective and affine number spaces. J. Algebra 20 (1972) 419-434 | MR | Zbl
.[Li1] -adic periodic points and Sen's theorem. J. Number Th. 56 (1996), 309-318. | MR | Zbl
.[Li2] -adic power series which commute under composition. Tran. of A.M.S. 349 (1997), 1437-1446. | MR | Zbl
.[Li3] Countmg periodic points of -adic power series. Compositio Math. 100 (1996), 351-364. | EuDML | Numdam | MR | Zbl
.[Lu1] Nonarchirnedean dynamical Systems. Compositio Math. 94 (1994), 321-346. | EuDML | Numdam | MR | Zbl
.[Lu2] Another proof of Sen's theorem on itération of power series. Proc. Amer.Math. Soc. 123 (1995), 63-66. | MR | Zbl
.[Ma] On the instability of Herman rings. Invent. Math. 81 (1985), 459-471. | EuDML | MR | Zbl
.[Mi] On bicritical rational maps. IMS preprint #1997 / 10.
.[MS1] Rational periodic points of rational fonctions. Inter. Math. Res. Notices. 1 (1994), 97-110. | MR | Zbl
, .[MS2] Periodic points, multiplicities, and dynamical units. J. Reine Agnew. Math. 461 (1995), 81-122. | EuDML | MR | Zbl
, .[Mo] L'arbre d'un quasi connexe : un invariant conforme -adique. Groupe d'étude d'analyse ultramétrique, 9ème année, 3 (1981/82), 18p. | EuDML | Numdam | MR | Zbl
.[No] Periodic points of an algebraic variety. Ann. Math. 51 (1950), 167-177. | MR | Zbl
.[R-L] Dynamique des fonctions rationnelles sur des corps locaux. Thèse, Orsay 2000.
.[Ro] Fonctions analytiques sur les corps valués ultramétriques complets. Astérisque 10 (1973). | Numdam | MR | Zbl
.[Ru1] Capacity theory on algebraic curves and canonical heights. Groupe d'étude d'analyse ultamétrique, 12ème année, 22 (1984/85), 17p. | EuDML | Numdam | MR | Zbl
.[Ru2] Capacity theory on algebraic curves. LNM 1378, Springer-Verlag, Berlin-New York, 1989. | MR | Zbl
.[Se] On automorphisms of local fields. Ann. of Math. 90 (1969), 33-46. | MR | Zbl
.[Sh] On the Quasiconformal surgery of rational functions. Ann. Scient. Éc. Norm. Sup. 20 (1987), 1-29. | EuDML | Numdam | MR | Zbl
.[Su1] Quasiconformal homeomorphisms and dynamics I : Solution of the Fatou-Julia problem on wandering domains. Ann. of Math. 122 (1985), 401-418. | MR | Zbl
.[TVW] -adic dynamics. J. Stat. Phys. 54 #3/4 (1989), 839-913. | MR | Zbl
, , .[Vo] Classification analytique des germes d'applications conformes tangents à l'identité (en russe), Functional Analysis 15/1 (1981), 1-17. | MR | Zbl
.[Y] Petits diviseurs en dimension 1. Astérisque 231 (1995). | Numdam | Zbl
.