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An extension of the Kunz-Souillard approach to localization in one dimension and applications to almost-periodic Schrödinger operators (with Anton Gorodetski), Adv. Math. 297 (2016), 149-173 Generic spectral results for CMV matrices with dynamically defined Verblunsky coefficients (with Licheng Fang, Shuzheng Guo), J. Funct. Anal. 279 (2020), 108803, 22 pp

Almost sure frequency independence of the dimension of the spectrum of Sturmian Hamiltonians (with Anton Gorodetski), Commun. Math. Phys. 337 (2015), 1241-1253 Zero measure and singular continuous spectra for quantum graphs (with Licheng Fang, Selim Sukhtaiev), Ann. Henri Poincaré 21 (2020), 2167-2191 Almost-periodicity in time of solutions of the Toda lattice (with Ilia Binder, Milivoje Lukic, and Tom VandenBoom), C. R. Math. Rep. Acad. Sci. Canada 40 (2018), 1-28Limit-periodic continuum Schrödinger operators with zero measure Cantor spectrum (with Jake Fillman and Milivoje Lukic), J. Spectr. Theory 7 (2017), 1101-1118 Limit-periodic Schrödinger operators with a discontinuous Lyapunov exponent (with Zheng Gan, Helge Krüger), J. Funct. Anal. 279 (2020), 108565, 16 pp Localization for the one-dimensional Anderson model via positivity and large deviations for the Lyapunov exponent (with Valmir Bucaj, Jake Fillman, Vitaly Gerbuz, Tom VandenBoom, Fengpeng Wang, Zhenghe Zhang), Trans. Amer. Math. Soc. 372 (2019), 3619-3667 New anomalous Lieb-Robinson bounds in quasiperiodic XY chains (with Marius Lemm, Milivoje Lukic and William Yessen), Phys. Rev. Lett. 113 (2014), 127202

The almost sure essential spectrum of the doubling map model is connected (with Jake Fillman), Commun. Math. Phys. 400 (2023), 793-804.

Random Hamiltonians with arbitrary point interactions in one dimension (with Jake Fillman, Mark Helman, Jacob Kesten, Selim Sukhtaiev), J. Differential Equations 282 (2021), 104-126 On the existence and uniqueness of global solutions for the KdV equation with quasi-periodic initial data (with Michael Goldstein), J. Amer. Math. Soc. 29 (2016), 825-856