3 papers
math.DS2026
Local centralizer rigidity for a non-generic diagonal map
Zhijing Wendy Wang, Amie Wilkinson
In this paper, we prove centralizer rigidity for any non-trivial diagonal map in the compact homogeneous space SL_n\mathbb{R}/Γ, n\ge 5, under the assumption that the perturbed vol…
math.DS2026
Local centralizer rigidity for twisted Weyl chamber flows
Zhijing Wendy Wang
We prove local centralizer rigidity results for elements of Weyl chamber flows and twisted Weyl chamber flows on compact homogeneous spaces. For generic elements in the twisted set…
math.SG2025
Complexity of Hofer's geometry in higher dimensional manifolds
Zhijing Wendy Wang
This paper establishes robust obstructions to representing Hamiltonian diffeomorphisms as -th powers () or embedding them in flows for certain higher-dimensional sympl…