Zhenghe Zhang

Assistant professor
Office: Skye 256
Phone: 951-827-3210
Email: zhenghe.zhang@ucr.edu



Seminar

Starting Spring 2018, I've been running "Ergodic Theory and Spectral Theory" seminar.

Research Interests

My research interests center around the dynamical object, the Lyapunov exponent, and lie across dynamical systems, spectral theory, and mathematical physics. Concretely, I study spectral analysis of ergodic Schrodinger operators and dynamics of the associated Schrodinger cocycles.

Currently, I am focusing on positivity and large deviation estimates for the Lyapunov exponent for different types of ergodic base dynamics. In mathematical physics, these two properties are strong indications of Anderson Localization.

I am particular interested in quasiperiodic potentials and potentials generated by hyperbolic dynamics.


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:
  • Math 260 Seminar-Ergodic Theory and Spectral Theory, Spring 2018-Present
  • Math 148-Introduction to chaotic and complex dynamical systems, Spring 2019
  • Math 150A-Intermediate Analysis, Winter 2019
  • NASC 093-Freshman Advising Seminar, Fall 2018
  • Math 211A-Ordinary Differential Equations, Fall 2018
  • Math 046-Introduction to Ordinary Differential Equations, Summer 2018
  • Math 046-Introduction to Ordinary Differential Equations, Spring 2018
  • Math 046-Introduction to Ordinary Differential Equations, Winter 2018
  • Math 151A-Advanced Calculus I, Fall 2017

  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 
Links





since 10/27/2014