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).