[AB60] Lars Ahlfors and Lipman Bers. Riemann's mapping theorem for variable metrics. The Annals of Mathematics, 72(2):385--404, 1960. [ bib ]
[Bea91] Alan Beardon. Iteration of rational functions, volume 132 of Graduate Texts in Mathematics. Springer-Verlag, New York, 1991. Complex analytic dynamical systems. [ bib | DOI | http ]
[Ber93] W. Bergweiler. Iteration of meromorphic functions. Bull. Amer. Math. Soc, 29, 1993. [ bib ]
[Bla84] Paul Blanchard. Complex analytic dynamics on the Riemann sphere. Bull. Amer. Math. Soc. (N.S.), 11(1):85--141, 1984. [ bib | DOI | http ]
[Her84] M. Herman. Exemples de fractions rationelles ayant une orbite dense sur la sphere de riemann. Bull. Soc. Math. France, 112(1):93--142, 1984. [ bib ]
[McM11] Curtis McMullen. Riemann surfaces, dynamics and geometry, 2011. Online lecture notes. [ bib | .pdf ]
[Mil06] John Milnor. Dynamics in one complex variable, volume 160 of Annals of Mathematics Studies. Princeton University Press, Princeton, NJ, third edition, 2006. [ bib ]
[Mor38] Charles B. Morrey. On the solutions of quasi-linear elliptic partial differential equations. Transactions of the American Mathematical Society, 43(1):126--166, 1938. [ bib ]
[MS98] Curtis McMullen and Dennis Sullivan. Quasiconformal homeomorphisms and dynamics iii. the teichmüller space of a holomorphic dynamical system. Advances in Mathematics, 135(2):351--395, 1998. [ bib ]
[Shi87] Mitsuhiro Shishikura. On the quasiconformal surgery of rational functions. Ann. Sci. École Norm. Sup. (4), 20(1):1--29, 1987. [ bib | http ]
[Sul85] Dennis Sullivan. Quasiconformal homeomorphisms and dynamics. I. Solution of the Fatou-Julia problem on wandering domains. Ann. of Math. (2), 122(3):401--418, 1985. [ bib | DOI | http ]
[ZZ96] Saeed Zakeri and Mahmood Zeinalian. When ellipses look like circles: the measurable Riemann mapping theorem, 1996. Online article. [ bib | .pdf ]