%0 Journal Article %T A characterization of Sierpinski carpet Rational maps %A Yan Gao %A Jinsong Zeng %A Suo Zhao %J Mathematics %D 2015 %I arXiv %X In this paper, we prove that a postcritically finite rational map with non-empty Fatou set is Thurstion equivalent to an expanding Thurston map if and only if its Julia set is homeomorphic to the standard Sierpinski carpet %U http://arxiv.org/abs/1511.09191v1