4 citations · 11 across the 16 of their papers we have counts for
19 papers
Commensurating actions and self-similar groups
Nicolás Matte Bon, Volodymyr Nekrashevych, Tianyi Zheng
Commensurating actions govern how a group can act on non-positively curved cube complexes. We obtain a complete picture of them for a class of finitely generated groups acting on r…
Concentration inequalities for maximal displacement of random walks on groups of polynomial growth
Jérémie Brieussel, Romain Tessera, Tianyi Zheng
We prove Gaussian concentration inequalities for maximal displacement of compactly supported random walks on a compactly generated locally compact group with polynomial growth. Con…
Infinite stationary measures of co-compact group actions
Mohammedsaid Alhalimi, Tom Hutchcroft, Minghao Pan +2
Let be a finitely generated group, and let be a nondegenerate, finitely supported probability measure on . We show that every co-compact action on a locally compact…
Confined subgroups in groups with contracting elements
Inhyeok Choi, Ilya Gekhtman, Wenyuan Yang +1
In this paper, we study the growth of confined subgroups through boundary actions of groups with contracting elements. We establish that the growth rate of a confined subgroup is s…
Prime orbit theorems for expanding Thurston maps: Genericity of strong non-integrability condition
Zhiqiang Li, Tianyi Zheng
In the second paper [LZ24b] of this series, we obtained an analog of the prime number theorem for a class of branched covering maps on the -sphere called expanding Thursto…
Four infinite families of chiral -polytopes of type with solvable automorphism groups
Dong-Dong Hou, Tian-Tian Zheng, Rui-Rui Guo
We construct four infinite families of chiral -polytopes of type , with , , and automorphisms for every positive integer , res…