2 citations · 6 across the 5 of their papers we have counts for
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Growth of relatively hyperbolic groups
Xiangdong Xie
We show that a relatively hyperbolic group either is virtually cyclic or has uniform exponential growth.
Mostow rigidity for Fuchsian buildings
Xiangdong Xie
We show that if a homeomorphism between the ideal boundaries of two Fuchsian buildings preserves the combinatorial cross ratio almost everywhere, then it extends to an isomorphism…
Tits boundary of CAT(0) 2-complexes
Xiangdong Xie
We investigate the Tits boundary of locally compact CAT(0) 2-complexes. In particular we show that away from the endpoints, a geodesic segment in the Tits boundary is the ideal bou…
Tits alternative for closed real analytic 4-manifolds of nonpositive curvature
Xiangdong Xie
We study subgroups of fundamental groups of real analytic closed 4-manifolds with nonpositive sectional curvature. In particular, we are interested in the following question: if a…
Groups acting on CAT(0) square complexes
Xiangdong Xie
We study groups acting on CAT(0) square complexes. In particular we show if Y is a nonpositively curved (in the sense of A. D. Alexandrov) finite square complex and the vertex link…