Research of Zhiyan ZHAO
MR Author ID: 959505
ORCID: 0000-0003-1539-0796
Research Interests:
· Rigidity theory of isometries on compact Riemannian manifolds, in particular:
1. Group actions by isometries on compact Riemannian manifolds
2. Local rigidity and Kolmogrov-Arnold-Moser (KAM) theory
· Perturbation theory for infinite-dimensional Hamiltonian systems, in particular:
1. Long-time behavior of Hamiltonian PDEs
2. Infinite-dimensional KAM theory
· Spectral theory of Schrödinger operator, in particular:
1. Anderson localization in quasi-crystal models
2. Reducibility and almost reducibility of Schrödinger cocycle
3. Transport property of quantum dynamics
· Holomorphic dynamics and Cauchy-Riemann geometry
1. KAM theory for holomorphic dynamics
2. Local equivalence in complex spaces