Zhang, Zhenghe 
张正鹤

G. C. Evans Instructor
zzhang@rice.edu
Office: Herman Brown Hall 432

I received my PhD from Department of Mathematics, Northwestern University in June 2014, supervised by 
Amie Wilkinson and
 Artur Avila.

CV (April 2017)

Research Interests

My research interests center around the dynamical object, the Lyapunov exponent, and lie across dynamical systems, spectral theory, 
and mathematical physics. 

More concretely, I study the spectral theory of one dimensional discrete ergodic Schrödinger operators via tools from dynamical systems.
For instance, I am interested in Anderson localization and Cantor 
spectrum phenomena, which are closely related to the dynamics of the 
Schrödinger cocycles, e.g. positivity and large deviations (LDT) of the Lyapunov exponent and occurrence of uniform hyperbolicity.


Papers 

The following papers are or will be available on my arXiv.org page.

Publications:
Preprints:
Papers in Preparation:
  • Localization for the one-dimensional Anderson model via positivity and large deviations of the Lyapunov exponent
    (with V. Bucaj, D. Damanik, J. Fillman, V. Gerbuz, T. VandenBoom, and F. Wang).
  • Work related to positivity, continuity, and LDT of the Lyapunov exponent and Anderson Localization for
    potentials generated by hyperbolic base dynamics (with A. Avila and D. Damanik).     

Teaching
  • Math 211-Ordinary differential equations and linear algebra, Spring 2017
  • Math 382-Complex analysis, Spring 2017
  • Math 521-Advanced topics in real analysis, Fall 2016
  • Math 435-Dynamical systems, Spring 2016
  • Math 523-Functional analysis, Fall 2015
  • Math 211-Ordinary differential equations and linear algebra, Fall 2015
  • Math 112-Calculus and its applications, Spring 2015
  • Math 322-Introduction to analysis II, Spring 2015
  • Math 211-Ordinary differential equations and linear algebra, Fall 2014
Meetings 
Coauthors
Further Items









since 10/27/2014