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 and other branched covering maps from
complex dynamics.

Publications
and Preprints

Z. Li (with J. Rivera-Letelier), Prime orbit theorems for Collet-Eckmann maps. In preparation (available upon request).

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).