**Zhenqi Wang's Homepage**

**I'm an Associate professor at Michigan State University.**

My research interests include: _**Dynamical Systems, Representation Theory, Ergodic Theory.**_

**Email: zwang@msu.edu**

**Publications:**  

(19). Wang Z, Kalinin B, Sadovskaya V. Global smooth rigidity for toral automorphisms. submitted.  [pdf link](https://apps.math.msu.edu/PageSpace/pb/zwang/Home/global)

(18).  Wang Z. Local rigidity of weak or no hyperbolicity algebraic actions. Accepted by J of the American Mathematical Society. [pdf link]( https://apps.math.msu.edu/PageSpace/pb/zwang/Home/parabolic.pdf)

(17). Wang Z. Local rigidity of higher rank partially hyperbolic algebraic actions. submitted. [pdf link](https://apps.math.msu.edu/PageSpace/pb/zwang/Home/partially-hyperbolic.pdf)
 
(16). Z. J. Wang, Periodic data and smooth rigidity for hyperbolic automorphisms on torus, submitted. [pdf link](https://apps.math.msu.edu/PageSpace/pb/zwang/Home/periodic.pdf) 
 
(15). (with V. Sadovskaya and B. Kalinin) Smooth local rigidity for hyperbolic toral automorphisms.
Communications of the American Mathematical Society, Volume 3 (2023), 290-328  


(14). (with V. Sadovskaya and B. Kalinin) Local rigidity for hyperbolic toral automorphisms. Mathematics
Research Reports, Volume 3 (2022), 57-68  


(13). D. Damjanovic, J. Tanis, Z. J. Wang, On globally hypoelliptic abelian actions and their
existence on homogeneous spaces, Discrete and Continuous Dynamical Systems, 2020.   


(12). James Tanis and Z. J. Wang, Cohomological equation and cocycle rigidity of discrete parabolic
actions, Discrete and Continuous Dynamical Systems, Vol. 39, No. 7, 2019  


(11). Z. J. Wang, The twisted cohomological equation over the geodesic flow, Discrete and Continuous
Dynamical Systems, Vol. 39, No. 7, 2019  

(10). James Tanis and Z.J. Wang. Cohomological equation and cocycle rigidity of discrete parabolic
actions in some higher rank Lie groups, Journal d’Analyse Math\'ematique , 2019.  


(9). K. Vinhage and Z. J. Wang, Local Rigidity of Higher Rank Homogeneous Abelian Actions: a
Complete Solution via the Geometric Method, Geometriae Dedicata, 2018  


(8). Enhui Shi, Huyi Hu, Z. J. Wang, Heisenberg group actions on compact manifolds and rigidity
of center elements, Israel Journal of Mathematics, Volume 228, Issue 2, 2018, pp 933-972   

(7). Z. J. Wang, Cocycle rigidity of partially hyperbolic actions, Israel Journal of Mathematics,
Volume 225, Issue 1, 2018, 147–191.  


(6). Z. J. Wang, Local rigidity of higher rank non-abelian action on torus, Ergodic Theory and
Dynamical Systems, 2017   


(5). Z. J. Wang, Cohomological equation and cocycle rigidity of parabolic actions in some higherrank
Lie groups, Geom. and Funct. Analysis, Volume 25, Issue 6, (2015), 1956-2020.  
 

(4). Z. J. Wang, Uniform pointwise bounds for Matrix coefficients of unitary representations on
semidirect products, J. functional analysis, Volume 267, Issue 1, 2014, 15–79  


(3). Z. J. Wang, Local rigidity of partially hyperbolic actions, J. Modern Dyn. 4 (2010), 271–327.  

(2). Z. J. Wang, New cases of differentiable rigidity for partially hyperbolic actions: symplectic
groups and resonance directions, J. Modern Dyn. (2010), 4, 585–608.  

(1). W. Sun, Z. Wang. Lyapunov exponents of hyperbolic measures and hyperbolic periodic orbits, Trans. Amer. Math., 362 (2010),4267-4282.