Birational maps, positive currents, and dynamics

Michigan Mathematical Journal

Volumn 46, Issue 2, 1999, Pages 361-375

  Diller, Jeffrey ^a  

^a UNIVERSITY OF NOTRE DAME   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0007228427     PISSN: 00262285     EISSN: None     Source Type: Journal    
DOI: 10.1307/mmj/1030132416     Document Type: Article

References (18)

1. 2, II: Stable manifolds and recurrence, J. Amer. Math. Soc. 4 (1991), 657-679.
2. 2, III: Ergodicity, exponents and entropy of the equilibrium measure, Math. Ann. 294 (1992), 395-420.
3. E. Bedford and B. A. Taylor, The Dirichlet problem for a complex Monge-Ampère operator, Invent. Math. 37 (1976), 1-44.
4. J.-P. Demailly, Monge-Ampère operators, Lelong numbers, and intersection theory, Complex analysis and geometry (V. Ancona, A. Silva, eds.), pp. 115-193, Plenum Press, New York, 1993.
5. 2, Indiana Univ. Math. J. 45 (1996), 721-772.
6. 2, Ann. Inst. Fourier 48 (1998), 999-1023.
7. _, Note on pullback and Lelong number of currents, preprint.
8. J. E. Fornæss and N. Sibony, Complex dynamics in higher dimensions, Complex potential theory, NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 439, pp. 131-186, Kluwer, Dordrecht, 1994.
9. _, Complex dynamics in higher dimension, II, Modern methods in complex dynamics, Ann of Math. Stud., 137, pp. 135-182, Princeton Univ. Press, Princeton, NJ, 1995.
10. _, Oka's inequality for currents and applications, Math. Ann. 301 (1996), 399-419.
11. R. Harvey and J. Polking, Extending analytic objects, Comm. Pure Appl. Math. 28 (1975), 701-727.
12. n, Indiana Univ. Math. J. 43 (1994), 321-365.
13. C. Kiselman, Le nombre de Lelong des images inverses des fonctions plurisousharmoniques, preprint.
14. M. Klimek, Pluripotential theory, Oxford Univ. Press, New York, 1991.
15. A. Russakovski and B. Shiffman, Value distribution for sequences of rational mappings and complex dynamics, Indiana Univ. Math. J. 46 (1997), 897-932.
16. 2, preprint.
17. Y.-T. Siu, Analyticity of sets associated to Lelong numbers and the extension of positive closed currents, Invent. Math. 27 (1974), 53-156.
18. J. Skoda, Extension problems and positive currents in complex analysis, Contributions to several complex variables (A. Howard, P. M. Wong, eds.), Aspects of Math., pp. 299-328, Vieweg, Braunschweig, 1986.