Polynomial diffeomorphisms of C2: VI. Connectivity of J

Annals of Mathematics

Volumn 148, Issue 2, 1998, Pages 695-735

  Bedford, Eric ^a   Smillie, John ^b  

^a INDIANA UNIVERSITY   (United States)

^b Department of Obstetrics Gynecology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032271336     PISSN: 0003486X     EISSN: None     Source Type: Journal    
DOI: 10.2307/121006     Document Type: Article

References (19)

1. 2. IV: The measure of maximal entropy and laminar currents, Invent. math. 112 (1993), 77-125.
2. 2, Invent. math. 114 (1993), 277-288.
3. 2. III: Ergodicity, exponents and entropy of the equilibrium measure. Math. Ann. 294 (1992), 395-420.
4. 2. V: Critical points and Lyapunov exponents, J. of Geometric Analysis, to appear.
5. 2. VII: Hyperbolicity and external rays, Ann. Sci. École Norm. Sup., to appear.
6. A. CANDEL, Uniformization theorem for surface laminations, Ann. Sci. École Norm. Sup., 4 série 26 (1993), 489-516.
7. A. DOUADY and J. HUBBARD, Itération des polynômes quadratiques complexes, C. R. Acad. Sci., sér. I Math. 294 (1982), 123-126.
8. J.-E. FORNAESS and N. SIBONY, Complex dynamics in higher dimensions, in Complex Potential Theory, 131-186, P. Gauthier (ed.), 1994.
9. W.H.J. FUCHS, Topics in the Theory of Functions of One Complex Variable, D. van Nostrand, Princeton, 1967.
10. J.H. HUBBARD, Local connectivity of Julia sets and bifurcation loci: Three theorems of J.-C. Yoccoz, in Topological Methods in Modern Mathematics, 467-511, L. Goldberg and A. Phillips, (eds.), Publish or Perish, Houston, TX, 1993.
11. J.H. HUBBARD and R. OBERSTE-VORTH, Hénon mappings in the complex domain I: The global topology of dynamical space, Inst. Hautes Études Sci. Publ. Math. 79 (1994), 5-46.
12. A. KATOK and L. MENDOZA, Dynamical systems with nonuniformly hyperbolic behavior, supplement to Introduction to the Modern Theory of Dynamical Systems, A. Katok and B. Hasselblatt, Cambridge University Press, Cambridge, 1995.
13. F. LEDRAPPIER and J.-M. STRELCYN, A proof of the estimation from below in Pesin's entropy formula, Ergod. Th. & Dynam. Sys. 2 (1982), 203-219.
14. R. MANÉ, P. SAD, and D. SULLIVAN, On the dynamics of rational maps, Ann. Sci. École Norm. Sup. 16 (1983), 193-217.
15. M. POLLICOTT, Lectures on ergodic theory and Pesin theory on compact manifolds, London Mathematical Society Lecture Note Series 180, Cambridge U. Press, Cambridge, 1993.
16. E. SPANIER, Algebraic Topology, McGraw-Hill Book Co., New York, 1966.
17. D. SULLIVAN, Linking the universalities of Milnor-Thurston, Feigenbaum and Ahlfors-Bers, in Topological Methods in Modern Mathematics, 543-564, L. Goldberg and A. Phillips, (eds.), Publish or Perish, Houston, TX, 1993.
18. P. WALTERS, An Introduction to Ergodic Theory, Springer-Verlag, New York, 1982.
19. H. WU, Complex stable manifolds of holomorphic diffeomorphisms, Indiana Univ. Math. J. 42 (1993), 1349-1358.