Equidistribution towards the Green current

Bulletin de la Societe Mathematique de France

Volumn 131, Issue 3, 2003, Pages 359-372

  Guedj, Vincent ^a  

^a INSTITUT DE MATHÉMATIQUES DE TOULOUSE   (France)

Author keywords

Green current; Holomorphic dynamics; Volume estimates

Indexed keywords

EID: 2342455800     PISSN: 00379484     EISSN: None     Source Type: Journal    
DOI: 10.24033/bsmf.2446     Document Type: Article

References (20)

1. 2: currents, equilibrium measure and hyperbolicity, Invent. Math., t. 103 (1991), no. 1, pp. 69-99.
2. BERTELOOT (F.) & MAYER (V.) - Rudiments de dynamique holomorphe, Cours spécialisés, vol. 7, Société Mathématique de France, Paris, 2001.
3. BROLIN (H.) - Invariant sets under iteration of rational functions, Arkiv. Math., t. 6 (1965), pp. 103-144.
4. FAVRE (C.) - Note on pull-back and Lelong number of currents, Bull. Soc. Math. France, t. 127 (1999), no. 3, pp. 445-458.
5. _, Multiplicity of holomorphic functions, Math. Ann., t. 316 (2000), pp.355-378.
6. FAVRE (C.) & GUEDJ (V.) - Dynamique des applications rationnelles des espaces multiprojectifs, Indiana Univ. Math. J., t. 50 (2001), pp. 881-934.
7. FAVRE (C.) & JONSSON (M.) - Brolin Theorem for curves in two complex dimensions, Preprint, 2001.
8. 2 and Fatou-Bieberbach domains, Duke Math. J., t. 65 (1992), no. 2, pp. 345-380.
9. _, Complex dynamics in higher dimension II, in Modern methods in complex analysis (Princeton, NJ, 1992), Ann. of Math. Stud., vol. 137, Princeton Univ. Press, Princeton, NJ, 1995, pp. 135-182.
10. FREIRE (A.), LOPES (A.) & MAÑÉ (R.) - An invariant measure for rational maps, Bol. Soc. Brasil Mat., t. 14 (1983), pp. 45-62.
11. GRIFFITHS (P.A.) & HARRIS (J.) - Principles of algebraic geometry, Wiley, New York, 1978.
12. 2, Amer. J. Math., t. 124 (2002), pp. 75-106.
13. k, Arkiv. Math., t. 40 (2002), pp. 207-243.
14. HÖRMANDER (L.) - Notions of convexity, Progress in Math., vol. 127, Birkhäuser Boston, Inc., Boston, MA, 1994.
15. n, Indiana Univ. Math. J., t. 43 (1994), pp. 321-365.
16. KISELMAN (C.) - Ensembles de sous-niveau et images inverses des fonctions plurisousharmoniques, Bull. Sci. Math., t. 124 (2000), no. 1, pp. 75-92.
17. LYUBICH (M. Ju.) - Entropy properties of rational endomorphisms of the Riemann sphere, Ergodic Theory & Dyn. Syst., t. 3 (1983), pp. 351-385.
18. RUSSAKOVSKII (A.) & SHIFFMAN (B.) - Value distribution for sequences of rational mappings and complex dynamics, Indiana Univ. Math. J., t. 46 (1997), pp. 897-932.
19. k, in Dynamique et géométrie complexes, Panoramas et Synthèses, Société Mathématique de France, Paris, 1999, pp. 97-185.
20. ZERIAHI (A.) - A criterion of algebraicity for Lelong classes and analytic sets, Acta Math., t. 184 (2000), no. 1, pp. 113-143.