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math.DS2018
The twisted cohomological equation over the partially hyperbolic flow
Zhenqi Jenny Wang
Let be a higher-rank connected semisimple Lie group with finite center and without compact factors. In any unitary representation of 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 and 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 denote a higher rank -split simple Lie group of the following type: , , , and , 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 . We characterize the obstructions to solving the twisted cohomological equation, construc…