Profile
Member of
CMAFCIO
and
DM-FCUL
,
CIM-NKU.
Academic Position
Auxiliary investigator at
FCUL
.
Education
- Graduation in Mathematics by Nanjing University (2013)
- Ph.D in Dynamical systems by Nanjing University (2018)
- Postdoctor in Chern Institute of Mathematics, Nankai University (2018-
- Auxiliary investigator in Faculdade de Ciências da Universidade de Lisboa (2019-
Address & Contact
Address: Departamento de Matemática Faculdade de Ciências da Universidade de Lisboa Campo Grande, Edifício C6, Piso 2, P-1749-016 Lisboa Portugal
Email: acai@fc.ul.pt
Research and publications
- A. Cai; C. Chavaudret; J. You; Q. Zhou, Sharp Hölder continuity of the Lyapunov exponent of finitely differentiable quasi-periodic cocycles. Math. Z. 291(3-4 (2019), 931-958.
- A. Cai; Lingrui Ge, Reducibility of finitely differentiable quasi-periodic cocycles and its spectral applications. Preprint. arXiv:1712.09041
- A. Cai, The absolutely continuous spectrum of finitely differentiable quasi-periodic Schrodinger operators. In preparation.
- A. Cai; Xueyin Wang; Polynomial decay of the gap length for C^k quasi-periodic Schrodinger operators and spectral application. arXiv:2006.15347
- A. Cai; P. Duarte; S. Klein, Mixed random quasi-periodic cocycles. In preparation.