@article{ASENS_1999_4_32_4_455_0, author = {Bedford, Eric and Smillie, John}, title = {Polynomial diffeomorphisms of $C^2$ : {VII.} {Hyperbolicity} and external rays}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, pages = {455--497}, publisher = {Elsevier}, volume = {Ser. 4, 32}, number = {4}, year = {1999}, doi = {10.1016/s0012-9593(99)80020-2}, zbl = {0952.37008}, mrnumber = {1693587}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/s0012-9593(99)80020-2/} }
TY - JOUR AU - Bedford, Eric AU - Smillie, John TI - Polynomial diffeomorphisms of $C^2$ : VII. Hyperbolicity and external rays JO - Annales scientifiques de l'École Normale Supérieure PY - 1999 SP - 455 EP - 497 VL - 32 IS - 4 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/s0012-9593(99)80020-2/ DO - 10.1016/s0012-9593(99)80020-2 LA - en ID - ASENS_1999_4_32_4_455_0 ER -
%0 Journal Article %A Bedford, Eric %A Smillie, John %T Polynomial diffeomorphisms of $C^2$ : VII. Hyperbolicity and external rays %J Annales scientifiques de l'École Normale Supérieure %D 1999 %P 455-497 %V 32 %N 4 %I Elsevier %U http://archive.numdam.org/articles/10.1016/s0012-9593(99)80020-2/ %R 10.1016/s0012-9593(99)80020-2 %G en %F ASENS_1999_4_32_4_455_0
Bedford, Eric; Smillie, John. Polynomial diffeomorphisms of $C^2$ : VII. Hyperbolicity and external rays. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 32 (1999) no. 4, pp. 455-497. doi : 10.1016/s0012-9593(99)80020-2. http://archive.numdam.org/articles/10.1016/s0012-9593(99)80020-2/
[BLS] Polynomial diffeomorphims of C2. IV : The measure of maximal entropy and laminar currents, Invent. math., 112, 1993, pp. 77-125. | MR | Zbl
, and ,[BS1] Polynomial diffeomorphisms of C2 : Currents, equilibrium measure and hyperbolicity, Invent. Math., 87, 1990, pp. 69-99. | MR | Zbl
and ,[BS2] Polynomial diffeomorphisms of C2 II : Stable manifolds and recurrence, Journal of the AMS 4, 1991, pp. 657-679. | MR | Zbl
and ,[BS5] Polynomial diffeomorphisms of C2 V : Critical points and Lyapunov exponents, J. of Geometric Analysis, to appear. | Zbl
and ,[BS6] Polynomial diffeomorphisms of C2 VI : Connectivity of J, Annals of Math., 148, 1998, pp. 1-41. | MR | Zbl
and ,[BS] External rays in the dynamics of polynomial automorphisms of C2, in : Complex Geometric Analysis in Pohang, K.-T. Kim and S.G. Krantz, eds. Contemporary Math., 1998.
and ,[B] Persistent homoclinic tangencies and infinitely many sinks for automorphisms of C2, PhD Thesis, U. of Michigan, 1995.
,[C] Uniformization of surface laminations, Ann. scient. Éc. Norm. Sup., 26, 1993, pp. 489-516. | Numdam | MR | Zbl
,[DH] Itération des polynômes quadratiques complexes, C.R. Acad. Sc. Paris, t. 294, 1982, pp. 123-126. | MR | Zbl
and ,[F] Finitely presented dynamical systems, Ergod. Th. & Dynam. Sys., 7, 1987, pp. 489-507. | MR | Zbl
,[FM] Dynamical properties of plane polynomial automorphisms, Ergod. Th. & Dynam. Sys., 9, 1989, pp. 67-99. | MR | Zbl
and ,[G] Holomorphic Anosov systems, Inventiones math., 119, 1995, pp. 585-614. | MR | Zbl
,[H] Hénon mappings in the complex domain, in : Chaotic Dynamics and Fractals, ed. M. Barnsley & S. Demko, Academic Press, 1986, pp. 101-111. | MR | Zbl
,[HO1] Hénon mappings in the complex domain I : The global topology of dynamical space, Inst. Hautes Études Sci. Publ. Math., 79, 1994, pp. 5-46. | Numdam | MR | Zbl
and ,[HO2] Hénon mappings in the complex domain II : Projective and inductive limits of polynomials, in : Real and Complex Dynamical Systems, B. Branner and P. Hjorth, eds., 1995, pp. 89-132. | MR | Zbl
and ,[MSS] On the dynamics of rational maps, Ann. scient. Éc. Norm. Sup., 16, 1983, pp. 193-217. | Numdam | MR | Zbl
, and ,[MS] Global Analysis of Foliated Spaces, Springer-Verlag, New York, 1988. | MR | Zbl
and ,[NV] John disks, Exposition. Math., 9, 1991, pp. 3-43. | MR | Zbl
and ,[O] On the combinatorics of external rays in the dynamics of the complex Hénon map, PhD Thesis, Cornell University, 1998.
,[P] Markov neighborhoods for zero-dimensional basic sets, Trans. AMS, 279, 1983, pp. 431-462. | MR | Zbl
,Cité par Sources :