My research interests lie in the interplay of
dynamical systems and geometry of spaces with fractal nature. In particular, I
am interested in the dynamics and geometry of Thurston maps.

Publications
and Preprints

Z. Li (with T. Zheng), Prime orbit theorems for
expanding Thurston maps. Preprint, (arXiv:1804.08221). Long version (PDF),
short version (PDF)

Z. Li, Weak expansion properties and large
deviation principles for expanding Thurston Maps. Adv. Math. 285 (2015), 515–567. (PDF)

Z. Li, Equilibrium states for expanding
Thurston maps.Comm. Math. Phys. 357
(2018), 811–872. (PDF)

Z. Li, Periodic points and the measure of
maximal entropy of an expanding Thurston map. Trans.
Amer. Math. Soc., 368 (2016), 8955–8999. (PDF)

B. Balamohan, S. Tanny and Z. Li, A
Combinatorial Interpretation for Certain Relatives of the Conolly Sequence. J.
Integer Seq., 11 (2008), Article 08.2.1. (PDF).