Dynamics of polynomial automorphisms of Ck

Arkiv for Matematik

Volumn 40, Issue 2, 2002, Pages 207-243

  Guedj, Vincent ^a   Sibony, Nessim ^b  

^a INSTITUT DE MATHÉMATIQUES DE TOULOUSE   (France)

^b UNIVERSITÉ PARIS SACLAY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036795758     PISSN: 00042080     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02384535     Document Type: Article

References (24)

1. [A] Ahlfors, L.V., Conformal Invariants: Topics in Geometric Function Theory, McGraw-Hill, New York, 1973.
2. 2, Invent. Math. 114 (1993), 277-288.
3. k, Conform. Geom. Dyn. 2 (1998), 45-55.
4. 2 II: Stable manifolds and recurrence, J. Amer. Math. Soc. 4 (1991), 657-679.
5. 2 III: Ergodicity, exponents and entropy of the equilibrium measure, Math. Ann. 294 (1992), 395-420.
6. 2, in Complex Geometric Analysis in Pohang (1997) (Kim, K.-T. and Krantz, S.G., eds.), Contemp. Math. 222, pp. 41-79, Amer. Math. Soc., Providence, R. I., 1999.
7. [CG] Carleson, L. and Gamelin, T.W., Complex Dynamics, Springer-Verlag, Berlin Heidelberg-New York, 1993.
8. 3, Michigan Math. J. 46 (1999), 419-459.
9. [Fa] Favre, C., Note on pull-back and Lelong number of currents, Bull. Soc. Math. France 127 (1999), 445-458.
10. [FG] Favre, C. and Guedj, V., Dynamique des applications rationnelles des espaces multiprojectifs, Indiana Math. J. 50 (2001), 881-934.
11. [Fe] Federer, H., Geometric Measure Theory, Springer-Verlag, Berlin-Heidelberg, 1969.
12. [FS1] Fornæss, J.E. and Sibony, N., Complex dynamics in higher dimension, in Complex Potential Theory (Montreal, Que., 1993) (Gauthier, P.-M., ed.), NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci. 439, pp. 131-186, Kluwer, Dordrecht, 1994.
13. [FS2] Fornæss, J.E. and Sibony, N., Complex dynamics in higher dimension II, in Modern Methods in Complex Analysis (Princeton, N. J., 1992) (Bloom, T., Catlin, D., D'Angelo, J.P. and Siu, Y.-T., eds.), Ann. Math. Studies 137, pp. 135-187, Princeton Univ. Press, Princeton, N. J., 1995.
14. [FS3] Fornæss, J.E. and Sibony, N., Oka's inequality for currents and applications, Math. Ann. 301 (1995), 399-419.
15. [Fr] Friedland, S., Entropy of polynomial and rational maps, Ann. of Math. 133 (1991), 359-368.
16. [FM] Friedland, S. and Milnor, J., Dynamical properties of plane automorphisms, Ergodic Theory Dynam. Systems 9 (1998), 67-99.
17. [HP] Harvey, R. and Polking, J., Extending analytic objects, Comm. Pure Appl. Math. 28 (1975), 701-727.
18. [He] Heins, M., On a notion of convexity connected with a method of Carleman, J. Anal. Math. 7 (1959), 53-77.
19. [Hö] Hörmander, L., The Analysis of Linear Partial Differential Operators I, Springer-Verlag, Berlin-Heidelberg, 1983.
20. [L] Lazarsfeld, R., Some applications of the theory of positive vector bundles, in Complete Intersections (Acireale, 1983), Lecture Notes in Math. 1092, pp. 29-61, Springer-Verlag, Berlin-Heidelberg, 1984.
21. k, in Dynamique et géométrie complexes (Lyon, 1997), Panorama et Syntheses 8, pp. ix-x, xi-xii, 97-185, Soc. Math. France, Paris, 1999.
22. [Si] Siu, Y.-T., Analyticity of sets associated to Lelong numbers and extension of closed positive currents, Invent. Math. 27 (1974), 53-156.
23. n, in Séminaire d'Analyse P. Lelong-P. Dolbeault-H. Skoda. Années 1981/1983 (Lelong, P., Dolbeault, P. and Skoda, H., eds.), Lecture Notes in Math. 1028, pp. 318-328, Springer-Verlag, Berlin-Heidelberg, 1983.
24. [W] Walters, P., An Introduction to Ergodic Theory, Springer-Verlag, Berlin-Heidelberg-New York, 1982.