References
[BD] Barrett, D., Diller, J.: Poincaré series and holomorphic averaging. Invent. math. (in press)
[Gre] Greenleaf, F.P.: Invariant Means on Topological Groups. Princeton: Van Nostrand 1969
[Kra] Kra, I.: Automorphic Forms and Kleinian Groups. Reading, MA: Benjamin 1972
[Mc1] McMullen, C.: Amenability, Poincaré series and quasiconformal maps. Invent. Math.97, 95–127 (1989)
[Mc2] McMullen, C.: Iteration on Teichmüller space. Invent. Math.99, 425–454 (1990)
[Mc3] McMullen, C.: Rational maps and Kleinian groups. In: Proceedings of the International Congress of Mathematicians Kyoto 1990, pp. 889–900, Berlin Heidelberg New York: Springer 1991
[Mc4] McMullen, C.: Riemann surfaces and the geometrization of 3-manifolds. Bull. AMS26 (1992), to appear
[Pier] Pier, J.P.: Amenable Locally Compact Groups. New York: Wiley Interscience 1984
[Poin] Poincaré, H.: Mémoire sur les fonctions Fuchsiennes. Acta Math.1, 193–294, (1882/3)
[Ros] Rosenblatt., J.M.: A generalization of Følner's condition. Math. Scand.33, 153–170, (1973)
[Roy] Royden, H.L.: Real Analysis. New York: Macmillan 1963
Author information
Authors and Affiliations
Additional information
Oblatum 2-XI-1991 & 20-IV-1992
Research partially supported by the NSF
Rights and permissions
About this article
Cite this article
McMullen, C. Amenable coverings of complex manifolds and holomorphic probability measures. Invent Math 110, 29–37 (1992). https://doi.org/10.1007/BF01231322
Issue Date:
DOI: https://doi.org/10.1007/BF01231322