Yinian, Lu, On the Proof of Sullivan's Eventual Periodicity Theorem, Acta Mathematica Sinica, New Series Chinese Journal of Mathematics, 5(4), 1989, pp. 355-364
In this paper.we give a modified proof of Sullivan's eventual theorem for rational dynamics. Our proof is based on some idea of the Sullivan's proof, but does not make use of the Teichmuller theory.