3 papers
math.DS2025
A class of Lattès maps with cellular structures
Zhiqiang Li, Hanyun Zheng
We show that a class of quasiregular Lattès maps, called orthotopic Lattès maps, are cellular Markov maps. This provides examples of expanding Thurston-type maps that are also unif…
math.DS2025
Rigidity and quasisymmetric uniformization of Thurston-type maps
Zhiqiang Li, Pekka Pankka, Hanyun Zheng
We prove the No Invariant Line Fields conjecture for a class of generalized postcritically-finite branched covers on higher-dimensional Riemannian manifolds. Moreover, we establish…
math.DS2023
Weak expansion properties and a large deviation principle for coarse expanding conformal systems
Zhiqiang Li, Hanyun Zheng
Coarse expanding conformal systems were introduced by P. Haïssinsky and K. M. Pilgrim to study the essential dynamical properties of certain rational maps on the Riemann sphere in…