6 papers
Existence of a Hall ray in higher dimensional Lagrange spectra
Yitwah Cheung, Zhijing Wendy Wang, Ruichong Zhang
Given any norm on , we prove that the Lagrange spectrum for -vectors contains a Hall ray. Equivalently, every sufficiently small o…
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…
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…
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…
Local Centralizer Rigidity near Elements of the Weyl Chamber Flow
Zhijing Wendy Wang
In this paper, we prove centralizer rigidity near an element of the Weyl chamber flow on a semisimple Lie group. We show that a perturbation of an element of the Weyl chamber…
Dynamics of composite symplectic Dehn twists
Wenmin Gong, Zhijing Wendy Wang, Jinxin Xue
This paper appears as the confluence of hyperbolic dynamics, symplectic topology and low dimensional topology, etc. We show that composite symplectic Dehn twists have certain form…