学术报告

报告题目：Green’s  Function  Estimates for Lattices Schrodinger Operators and Applications

报告人：刘文才博士（复旦大学）

报告校内联系人：丛洪滋  

报告时间：2015年07月15日（周三）09:00－12:00

2015年07月16日（周四）09:00－12:00

2015年07月17日（周五）09:00－12:00

2015年07月21日（周二）13:30－16:30

2015年07月22日（周三）09:00－12:00

报告地点：创新园大厦A1101

报告摘要：Bourgain学术专著《Green’s  Function Estimates for Lattices Schrodinger Operators and Applications》部分章节

报告人简介

Education

January 2015–May 2015 Academic Visitor in Isaac Newton Institute, Cambridge, UK

February 2014–July 2014 Visiting Scholar in Department of Mathematics, UC Irvine, USA

2012–Present PhD student in School of Mathematical Sciences, Fudan University, China

Advisor: Xiaoping Yuan(E-Mail: xpyuan@fudan.edu.cn)

2009–2012 Master in mathematics, Nanjing University of Science and Technology, China

Advisor: Zhenyou Huang (E-Mail:zyhuangh@yahoo.com)

2006–2009 Bachelor in mathematics, Nanjing University of Science and Technology, China

Learning Areas

2012-Present Spectral Theory; PDE; ODE; Dynamical Systems (Major in KAM Theory).

2009-2012 Functional Analysis; Spectral Theory, Inverse Spectral Theory

Research directions and fields of publications

Spectral Theory, Dynamical Systems

Research

Working Papers

S.Jitomirskaya, Wencai Liu, Xiaoping Yuan, The localization proof of the conjecture of Jitomirskaya

S.Jitomirskaya, Wencai Liu, The lower bound of Lyapunov exponents for Schrödinger cocyles with

trigonometric polynomial potentials

S.Jitomirskaya, Wencai Liu, The spectrum of surface Maryland Model for Diophantine Frequency

S.Jitomirskaya, Wencai Liu, Arithmetic Spectral Transitions for the Maryland Model

Wencai Liu, Xiaoping Yuan, Absolutely Continuous Spectrum for the Quasi-periodic Schrödinger Operator in Exponential Regime

Wencai Liu, Xiaoping Yuan, Anderson localization for the completely resonant phases, Journal of Functional Analysis, Volume 268, Issue 3 (2015) 732-747

Wencai Liu, Xiaoping Yuan, Hölder Continuity of the Spectral Measures for One-Dimensional Schrödinger Operator in Exponential Regime, Journal of Mathematical Physics, Volume 56, Number 1 (2015)

Wencai Liu, Xiaoping Yuan, Spectral gaps of almost Mathieu operators in the exponential regime, J.

Fractal Geom. Volume 2 (2015), Issue 1, 1-51

Wencai Liu, Xiaoping Yuan, Anderson Localization for the Almost Mathieu Operator in Exponential

Regime, Journal of Spectral Theory, Volume 5, Issue 1 (2015), 89-112

Wencai Liu, Zhenyou Huang, On the Relationship of the Spectra of the Self-adjoint Operator and its

Liouville Operator, International Journal of Theoretical Physics, Volume 52, Issue 8 (2013) 2578-2591

Wencai Liu, Zhenyou Huang, The Generalized Eigenvector Expansions of the Liouville Operator, International

Journal of Theoretical Physics, Volume 52, Issue 12 (2013) 4323-4334