Zhenghe Zhang

Assistant professor
Email: zhenghe.zhang@ucr.edu


CV (July 2017)

Research Interests

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

In particular, 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:
  • 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:

Upcoming Teaching (Fall 2017): TBD

Past Teaching at Rice University (2014-2017):
  • 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 
Further Items









since 10/27/2014