Wang, FengpengDamanik, David2019-08-212019-08-212019Wang, Fengpeng and Damanik, David. "Anderson localization for quasi-periodic CMV matrices and quantum walks." <i>Journal of Functional Analysis,</i> 276, no. 6 (2019) Elsevier: 1978-2006. https://doi.org/10.1016/j.jfa.2018.10.016.https://hdl.handle.net/1911/106273We consider CMV matrices, both standard and extended, with analytic quasi-periodic Verblunsky coefficients and prove Anderson localization in the regime of positive Lyapunov exponents. This establishes the CMV analog of a result Bourgain and Goldstein proved for discrete one-dimensional Schrödinger operators. We also prove a similar result for quantum walks on the integer lattice with suitable analytic quasi-periodic coins.engThis is an author's peer-reviewed final manuscript, as accepted by the publisher. The published article is copyrighted by Elsevier.Journal articleCMV matricesQuasi-periodic coefficientsAnderson localizationQuantum walkshttps://doi.org/10.1016/j.jfa.2018.10.016