May Mei

Associate Professor of Mathematics
Denison University



Office Location:On Sabbatical
Email:meim@denison.edu



2019-2020 Travel

Research

One of my research interests involves the application of dynamical systems (uniformly hyperbolic, partially hyperbolic, symbolic) to mathematical physics. Specifically, I use dynamical techniques to investigate spectral properties of operators involved in the study of quasicrystals. I'm also interested in conducting numerical experiments related to the long-term behavior of several specific dynamical systems.
  • J. Fillman and M. Mei, Spectral properties of continuum Fibonacci Schrödinger operators, Ann. Henri Poincaré 19 (2018), no. 1, 237-247. [arXiv:1702.04337]
  • M. Mei and W. Yessen, Tridiagonal substitution Hamiltonians, Math. Model. Nat. Phenom. 9 (2014), no. 5, 204-238. [arXiv:1312.2259]
  • M. Mei, Spectra of discrete Schrödinger operators with primitive invertible substitution potentials, J. Math. Phys. 55 (2014), no. 8, 082701, 22. [arXiv:1311.0954]
Another one of my research interests lies in number theory and integer sequences. Think of a number, now square the digits and sum that. What do you get? If you keep iterating this procedure, you will either end up at a 1 or a 4. If you end up at a 1, the number you started with is called a happy number. I study several generalizations of this procedure.
  • B. Baker Swart, S. Crook, L. Hall-Seelig, H. G. Grundman, M. Mei, and L. Zack, Fixed Points of Augmented Generalized Happy Functions II: Oases and Mirages, J. Integer Seq. 22 (2019), no. 5, Art. 19.5.5. [arXiv:1908.02194]
  • B. Baker Swart, K. A. Beck, S. Crook, C. Eubanks-Turner, H. G. Grundman, M. Mei, and L. Zack, Fixed points of augmented generalized happy functions, Rocky Mountain J. Math. 48 (2018), no. 1, 47-58. [arXiv:1611.02983]
  • M. Mei and A. Read-McFarland, Numbers and the heights of their happiness, Involve 11 (2018), no. 2, 235-241. [arXiv:1511.01441]
  • B. Baker Swart, K. A. Beck, S. Crook, C. Eubanks-Turner, H. G. Grundman, M. Mei, and L. Zack, Augmented generalized happy functions, Rocky Mountain J. Math. 47 (2017), no. 2, 403-417. [arXiv:1410.0297]
I've supervised several undergraduate student projects in the above areas:

Last updated: September 1, 2019