Research Publications
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 longterm behavior of several specific dynamical systems.
 M. Mei and W. Yessen, Tridiagonal substitution Hamiltonians,
Math. Model. Nat. Phenom. 9 (2014), no. 5, 204238. [arXiv:1312.2259]
 M. Mei, Spectra of discrete Schrödinger operators with primitive invertible substitution potentials,
J. Math. Phys. 55 (2014), no. 8, 082701, 22pp. [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, K. Beck, S. Crook, C. EubanksTurner, H. Grundman, M. Mei, and L. Zack, Fixed Points of Augmented Happy Functions, in preparation.
 M. Mei and A. ReadMcFarland, Numbers and the Heights of their Happiness, submitted.
[arXiv:1511.01441]
 B. Baker Swart, K. Beck, S. Crook, C. EubanksTurner, H. Grundman, M. Mei, and L. Zack, Augmented Generalized Happy Functions, to appear in the Rocky Mountain Journal of Mathematics.
[arXiv:1410.0297]
Extracurricular

