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)
Z. Li
(with B.
Balamohan andS.
Tanny), A Combinatorial Interpretation for Certain Relatives
of the Conolly Sequence. J. Integer Seq., 11 (2008), Article
08.2.1. (PDF).
Student
Research
Graduate Students
Xianghui Shi has been working with me and Y. Zhang on
fine large deviation properties for expanding Thurston maps, Collet-Eckmann
maps, and coarse expanding conformal systems. A preprint is close to be ready, available upon
request.
Yinying Huang has been working with me on the Typically
Periodic Optimization Conjecture in a countable setting. A manuscript is in
preparation.
Hongfei Liu has been working with me on local central
limit theorems for topological Collet-Eckmann maps. A manuscript is in
preparation.
Undergraduate Students
Qiandu He has been working with me, I. Binder, and Y.
Zhang on the computability in thermodynamical formalism. A manuscript in the
uniformly expanding case including applications to hyperbolic rational maps is
available here. See
his slides here.
Jie Ji has been studying invariant graphs on the
plane under the supervision of J. Rivera-Letelier and me. See his slides here.
Xiaoran Li has been working with me and Y. Zhang to
extend the thermodynamical formalism to correspondences and Markov processes. A
preprint is close to be ready, available upon request. See his slides here.
Ruicen Qiu has been working with me and Y. Zhang on the
study of the Martin boundary on the dynamical side of Sullivan’s dictionary. A
manuscript in the uniformly expanding case is ready. The study in the setting
of expanding Thurston maps is ongoing. See his slides here.
Hanyun Zheng has been working with me on weak expansion
properties and its applications in thermodynamical formalism for coarse
expanding conformal systems. See his slides here.
Yiqing Sun just started working on ergodic optimization
with me and Y. Zhang.
Jinru Bai just started working on large deviation at
zero temperature for expanding Thurston maps.
Runjia Li just started working on amenability of the iterated
monodromy groups for expanding Thurston maps with me and T. Zheng.
Baixi Liu just started working on rigidity for billiards.
Yuke An just started working on geometry and Sullivan’s
dictionary.
Zhengbo Qu just started working on geometry and Sullivan’s
dictionary.
Zhelai Hao
Prospective postdocs,
graduate students, and undergraduate students
There are opportunities for postdoctoral
positions, graduate study supervision, and undergraduate research projects. Please
get in touch with me via email or in person.