Z. Wang

activity

20092020

collaborators

Showing math.DSShow all

9 papers · 1 filter

math.DS2020

On globally hypoelliptic abelian actions and their existence on homogeneous spaces

Danijela Damjanovic, James Tanis, Zhenqi Wang

We define globally hypoelliptic smooth $R^{k}$ actions as actions whose leafwise Laplacian along the orbit foliation is a globally hypoelliptic differential operator. When $k…

math.DS2019

Lyapunov exponents of hyperbolic measures and hyperbolic periodic orbits

Wenxiang Sun, Zhenqi Jenny Wang

Lyapunov exponents of a hyperbolic ergodic measure are approximated by Lyapunov exponents of hyperbolic atomic measures on periodic orbits.

math.DS2018

The twisted cohomological equation over the partially hyperbolic flow

Zhenqi Jenny Wang

Let $G$ be a higher-rank connected semisimple Lie group with finite center and without compact factors. In any unitary representation $(π, H)$ of $G$ wi…

math.DS2018

Cohomological equation and cocycle rigidity of discrete parabolic actions

James Tanis, Zhenqi Jenny Wang

We study the cohomological equation for discrete horocycle maps on $S L (2, R)$ and $S L (2, R) \times S L (2, R)$ via representation theory. Specifically, we pro…

math.DS2018

Cohomological equation and cocycle rigidity of discrete parabolic actions in some higher rank Lie groups

James Tanis, Zhenqi Jenny Wang

Let $G$ denote a higher rank $R$ -split simple Lie group of the following type: $S L (n, R)$ , $S O_{o} (m, m)$ , $E_{6 (6)}$ , $E_{7 (7)}$ and $E_{8 (8)}$ , where $m\geq…

math.DS2018

The twisted cohomological equation over the geodesic flow

Zhenqi Jenny Wang

We study the twisted cohomoligical equation over the geodesic flow on $S L (2, R) /Γ$ . We characterize the obstructions to solving the twisted cohomological equation, construc…