Fu, Zhengqi; Li, Xiong The absence of singular continuous spectrum for perturbed Jacobi operators. (English) Zbl 07815356 Acta Math. Sci., Ser. B, Engl. Ed. 44, No. 2, 515-531 (2024). MSC: 81Q10 58J50 PDFBibTeX XMLCite \textit{Z. Fu} and \textit{X. Li}, Acta Math. Sci., Ser. B, Engl. Ed. 44, No. 2, 515--531 (2024; Zbl 07815356) Full Text: DOI
Damanik, David; Fillman, Jake The almost sure essential spectrum of the doubling map model is connected. (English) Zbl 07687744 Commun. Math. Phys. 400, No. 2, 793-804 (2023). MSC: 47Bxx 37Cxx 37Dxx PDFBibTeX XMLCite \textit{D. Damanik} and \textit{J. Fillman}, Commun. Math. Phys. 400, No. 2, 793--804 (2023; Zbl 07687744) Full Text: DOI arXiv
Lin, Yanxue; Piao, Daxiong; Guo, Shuzheng Anderson localization for the quasi-periodic CMV matrices with Verblunsky coefficients defined by the skew-shift. (English) Zbl 07687703 J. Funct. Anal. 285, No. 4, Article ID 109975, 27 p. (2023). MSC: 47Bxx 81Qxx 39Axx PDFBibTeX XMLCite \textit{Y. Lin} et al., J. Funct. Anal. 285, No. 4, Article ID 109975, 27 p. (2023; Zbl 07687703) Full Text: DOI arXiv
Li, Long; Damanik, David; Zhou, Qi Cantor spectrum for CMV matrices with almost periodic Verblunsky coefficients. (English) Zbl 07605366 J. Funct. Anal. 283, No. 12, Article ID 109709, 52 p. (2022). MSC: 47A10 37A20 PDFBibTeX XMLCite \textit{L. Li} et al., J. Funct. Anal. 283, No. 12, Article ID 109709, 52 p. (2022; Zbl 07605366) Full Text: DOI arXiv
Alkorn, Kateryna; Zhang, Zhenghe On the correspondence between domination and the spectrum of Jacobi operators. (English) Zbl 07595841 Trans. Am. Math. Soc. 375, No. 11, 8101-8149 (2022). MSC: 47B36 37D30 PDFBibTeX XMLCite \textit{K. Alkorn} and \textit{Z. Zhang}, Trans. Am. Math. Soc. 375, No. 11, 8101--8149 (2022; Zbl 07595841) Full Text: DOI arXiv
Li, Long; Damanik, David; Zhou, Qi Absolutely continuous spectrum for CMV matrices with small quasi-periodic Verblunsky coefficients. (English) Zbl 07578588 Trans. Am. Math. Soc. 375, No. 9, 6093-6125 (2022). MSC: 47A35 37A20 42C05 PDFBibTeX XMLCite \textit{L. Li} et al., Trans. Am. Math. Soc. 375, No. 9, 6093--6125 (2022; Zbl 07578588) Full Text: DOI arXiv
Beckus, Siegfried; Devyver, Baptiste Generalized eigenfunctions and eigenvalues: a unifying framework for Shnol-type theorems. (English) Zbl 1497.35121 J. Anal. Math. 146, No. 1, 165-203 (2022). MSC: 35J10 58J05 35P05 PDFBibTeX XMLCite \textit{S. Beckus} and \textit{B. Devyver}, J. Anal. Math. 146, No. 1, 165--203 (2022; Zbl 1497.35121) Full Text: DOI arXiv
Damanik, David; Gorodetski, Anton Must the spectrum of a random Schrödinger operator contain an interval? (English) Zbl 07565222 Commun. Math. Phys. 393, No. 3, 1583-1613 (2022). Reviewer: Miyeon Kwon (Platteville) MSC: 47B93 47B37 81Q10 82B44 47A10 PDFBibTeX XMLCite \textit{D. Damanik} and \textit{A. Gorodetski}, Commun. Math. Phys. 393, No. 3, 1583--1613 (2022; Zbl 07565222) Full Text: DOI arXiv
Jun, Hyunkyu Cantor spectrum for CMV and Jacobi matrices with coefficients arising from generalized skew-shifts. (English) Zbl 1506.37035 Ergodic Theory Dyn. Syst. 42, No. 6, 2009-2027 (2022). Reviewer: Lennard Bakker (Provo) MSC: 37D20 47B36 47B80 81Q10 37B55 PDFBibTeX XMLCite \textit{H. Jun}, Ergodic Theory Dyn. Syst. 42, No. 6, 2009--2027 (2022; Zbl 1506.37035) Full Text: DOI arXiv
Cedzich, C.; Werner, A. H. Anderson localization for electric quantum walks and skew-shift CMV matrices. (English) Zbl 1484.82043 Commun. Math. Phys. 387, No. 3, 1257-1279 (2021). MSC: 82C41 82B44 78A30 37H15 47B36 PDFBibTeX XMLCite \textit{C. Cedzich} and \textit{A. H. Werner}, Commun. Math. Phys. 387, No. 3, 1257--1279 (2021; Zbl 1484.82043) Full Text: DOI arXiv
Gorodetski, Anton; Kleptsyn, Victor Parametric Furstenberg theorem on random products of \(\mathrm{SL}(2, \mathbb{R})\) matrices. (English) Zbl 1458.37060 Adv. Math. 378, Article ID 107522, 82 p. (2021). MSC: 37H15 37D25 15B52 PDFBibTeX XMLCite \textit{A. Gorodetski} and \textit{V. Kleptsyn}, Adv. Math. 378, Article ID 107522, 82 p. (2021; Zbl 1458.37060) Full Text: DOI arXiv
Guo, Shuzheng; Piao, Daxiong Lyapunov behavior and dynamical localization for quasi-periodic CMV matrices. (English) Zbl 1448.37028 Linear Algebra Appl. 606, 68-89 (2020). MSC: 37C30 15A60 37D20 PDFBibTeX XMLCite \textit{S. Guo} and \textit{D. Piao}, Linear Algebra Appl. 606, 68--89 (2020; Zbl 1448.37028) Full Text: DOI
Damanik, David; Fang, Licheng; Sukhtaiev, Selim Zero measure and singular continuous spectra for quantum graphs. (English) Zbl 1442.05124 Ann. Henri Poincaré 21, No. 7, 2167-2191 (2020). MSC: 05C50 81Q35 47B36 35J05 47B80 82B44 05C05 05C25 PDFBibTeX XMLCite \textit{D. Damanik} et al., Ann. Henri Poincaré 21, No. 7, 2167--2191 (2020; Zbl 1442.05124) Full Text: DOI arXiv
Bucaj, Valmir; Damanik, David; Fillman, Jake; Gerbuz, Vitaly; Vandenboom, Tom; Wang, Fengpeng; Zhang, Zhenghe Localization for the one-dimensional Anderson model via positivity and large deviations for the Lyapunov exponent. (English) Zbl 1422.35022 Trans. Am. Math. Soc. 372, No. 5, 3619-3667 (2019). MSC: 35J10 81Q10 PDFBibTeX XMLCite \textit{V. Bucaj} et al., Trans. Am. Math. Soc. 372, No. 5, 3619--3667 (2019; Zbl 1422.35022) Full Text: DOI arXiv
Han, Rui Shnol’s theorem and the spectrum of long range operators. (English) Zbl 07073444 Proc. Am. Math. Soc. 147, No. 7, 2887-2897 (2019). MSC: 47B36 81Q10 PDFBibTeX XMLCite \textit{R. Han}, Proc. Am. Math. Soc. 147, No. 7, 2887--2897 (2019; Zbl 07073444) Full Text: DOI arXiv
Wang, Fengpeng; Damanik, David Anderson localization for quasi-periodic CMV matrices and quantum walks. (English) Zbl 1462.35316 J. Funct. Anal. 276, No. 6, 1978-2006 (2019). MSC: 35Q40 81S25 81Q05 82C41 82C44 PDFBibTeX XMLCite \textit{F. Wang} and \textit{D. Damanik}, J. Funct. Anal. 276, No. 6, 1978--2006 (2019; Zbl 1462.35316) Full Text: DOI arXiv
Fillman, Jake; Ong, Darren C.; VandenBoom, Tom Spectral approximation for ergodic CMV operators with an application to quantum walks. (English) Zbl 06918442 J. Math. Anal. Appl. 467, No. 1, 132-147 (2018). MSC: 47B36 34L40 82B41 PDFBibTeX XMLCite \textit{J. Fillman} et al., J. Math. Anal. Appl. 467, No. 1, 132--147 (2018; Zbl 06918442) Full Text: DOI arXiv
Fillman, Jake; Ong, Darren C. Purely singular continuous spectrum for limit-periodic CMV operators with applications to quantum walks. (English) Zbl 1397.81115 J. Funct. Anal. 272, No. 12, 5107-5143 (2017). Reviewer: Christoph Koutschan (Linz) MSC: 81S25 58C40 82B41 PDFBibTeX XMLCite \textit{J. Fillman} and \textit{D. C. Ong}, J. Funct. Anal. 272, No. 12, 5107--5143 (2017; Zbl 1397.81115) Full Text: DOI arXiv
Fillman, Jake; Ong, Darren C.; Zhang, Zhenghe Spectral characteristics of the unitary critical almost-Mathieu operator. (English) Zbl 06702035 Commun. Math. Phys. 351, No. 2, 525-561 (2017). MSC: 47-XX PDFBibTeX XMLCite \textit{J. Fillman} et al., Commun. Math. Phys. 351, No. 2, 525--561 (2017; Zbl 06702035) Full Text: DOI arXiv
Fillman, Jake Purely singular continuous spectrum for Sturmian CMV matrices via strengthened Gordon lemmas. (English) Zbl 1354.47023 Proc. Am. Math. Soc. 145, No. 1, 225-239 (2017). MSC: 47B36 PDFBibTeX XMLCite \textit{J. Fillman}, Proc. Am. Math. Soc. 145, No. 1, 225--239 (2017; Zbl 1354.47023) Full Text: DOI arXiv
Lukic, Milivoje; Ong, Darren C. Generalized Prüfer variables for perturbations of Jacobi and CMV matrices. (English) Zbl 1353.47062 J. Math. Anal. Appl. 444, No. 2, 1490-1514 (2016). MSC: 47B36 PDFBibTeX XMLCite \textit{M. Lukic} and \textit{D. C. Ong}, J. Math. Anal. Appl. 444, No. 2, 1490--1514 (2016; Zbl 1353.47062) Full Text: DOI arXiv