Department of Mathematics

University of Arizona

- Entanglement of a class of non-Gaussian states in disordered harmonic oscillator systems.
*Journal of Mathematical Physics (to appear)*arXiv. - Correlations in disordered quantum harmonic oscillator systems: The effects of excitations and
quantum quenches (with R. Sims and G. Stolz).
*A contribution to the Proceedings of QMath13: Mathematical Results in Quantum Physics, Atlanta.*arXiv. - Localization Properties of the Disordered XY Spin Chain
A review of mathematical results with an eye toward Many-Body Localization (with B. Nachtergaele, R. Sims, and G. Stolz),
*Ann. der Phys. (Berlin) 529, 1600280 (2017)*arXiv Journal - Dynamical entanglement of disordered quantum XY chains (with B. Nachtergaele, R. Sims, and G. Stolz).
*Letters in Mathematical Physics*106(5), 649-674, 2016. ArXiv | Journal - A uniform area law for the entanglement of eigenstates in the disordered XY chain (with G. Stolz).
*Journal of Mathematical Physics, 56, 121901, 2015.*ArXiv | Journal - Fast and numerically stable circle fit (with N. Chernov).
*Journal of Mathematical Imaging and Vision*, 49 (2), 289-295, June 2014. ArXiv | Journal - (with M. Alrefaei) An adaptive Monte Carlo integration algorithm with general division approach,
*Mathematics and Computers in Simulation*, 79 (1), 49-59 , 2008. Journal - (with M. Alrefaei) Two sequential algorithms for selecting one of the best simulated systems.
*WSEAS Transactions on Systems*. 3: 2517-2522, 2004. pdf