[1] G. Cui, Y. Gao and J. Zeng, Invariant graphs of rational maps, Adv. Math. 404 (2022), part B, Paper No. 108454, 50pp.
[2] G. Cui and W. Peng, On the cycles of components of disconnected Julia sets, Math. Ann.,.381 (2021), no. 1-2, 971-1003.
[3] G. Cui and L. Tan, Hyperbolic-parabolic deformations of rational maps, Science China Mathematics, Vol. 62, no. 12 (2018), 2157-2220.
[4] G. Cui, W. Peng and L. Tan, Renormalizations and Wandering Jordan Curves of Rational Maps, Commun. Math. Phys. 344 (2016), 67-115.
[5] G.Cui and Y. Gao, Wandering continua for Lattes maps, Discrete and Continuous Dynamical Systems, Vol 36, no. 3 (2016), 1321-1329.
[6] G.Cui and L. Tan, A characterization of hyperbolic rational maps, Invent. Math., vol. 183 (2011), 451-516.  
[7] G.Cui and Y. Jiang,  Geometrically finite and semi-rational branched coverings of the two-sphere. Trans. Amer. Math. Soc. 363 (2011), 2701-2714.  
[8] G.Cui and M. Zinsmeister, BMO -Teichmuller spaces, Illinois Jour. of Math., vol. 48, no. 4 (2004), 1223-1233.  
[9] G.Cui, Integably asymptotic affine homeomorphisms of the circle and Teichmuller spaces,  Science in China Series A: Mathematics, vol. 43, no. 3 (2000), 267-279.  
[10] G.Cui, Circle expanding maps and symmetric structures Erg. Th. and Dynam. Sys, vol. 18 (1998), 831-842.