Levi, Netanel Subordinacy theory on star-like graphs. (English) Zbl 07761491 J. Spectr. Theory 13, No. 2, 427-449 (2023). MSC: 47B36 47A10 PDFBibTeX XMLCite \textit{N. Levi}, J. Spectr. Theory 13, No. 2, 427--449 (2023; Zbl 07761491) 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
Frank, Rupert L.; Larson, Simon On the spectrum of the Kronig-Penney model in a constant electric field. (English) Zbl 1514.34144 Probab. Math. Phys. 3, No. 2, 431-490 (2022). Reviewer: Hubert Kalf (München) MSC: 34L40 34L05 47B80 81Q10 PDFBibTeX XMLCite \textit{R. L. Frank} and \textit{S. Larson}, Probab. Math. Phys. 3, No. 2, 431--490 (2022; Zbl 1514.34144) Full Text: DOI arXiv
Jitomirskaya, Svetlana; Zhang, Shiwen Quantitative continuity of singular continuous spectral measures and arithmetic criteria for quasiperiodic Schrödinger operators. (English) Zbl 1497.47010 J. Eur. Math. Soc. (JEMS) 24, No. 5, 1723-1767 (2022). MSC: 47A10 34L40 47E05 81Q10 PDFBibTeX XMLCite \textit{S. Jitomirskaya} and \textit{S. Zhang}, J. Eur. Math. Soc. (JEMS) 24, No. 5, 1723--1767 (2022; Zbl 1497.47010) Full Text: DOI arXiv
Guo, Shuzheng; Damanik, David; Ong, Darren C. Subordinacy theory for extended CMV matrices. (English) Zbl 1503.47042 Sci. China, Math. 65, No. 3, 539-558 (2022). MSC: 47B36 PDFBibTeX XMLCite \textit{S. Guo} et al., Sci. China, Math. 65, No. 3, 539--558 (2022; Zbl 1503.47042) Full Text: DOI arXiv
Bazao, Vanderléa R.; Carvalho, Túlio O.; de Oliveira, César R. Spectral Hausdorff dimensions for a class of Schrödinger operators in bounded intervals. (English) Zbl 07369428 Lett. Math. Phys. 111, No. 3, Paper No. 65, 21 p. (2021). Reviewer: A. S. Makin (Moskva) MSC: 47E05 81Q05 81Q10 34L40 PDFBibTeX XMLCite \textit{V. R. Bazao} et al., Lett. Math. Phys. 111, No. 3, Paper No. 65, 21 p. (2021; Zbl 07369428) Full Text: DOI arXiv
Damanik, David; Fang, Licheng; Jun, Hyunkyu Schrödinger operators generated by locally constant functions on the Fibonacci subshift. (English) Zbl 1467.35117 Ann. Henri Poincaré 22, No. 5, 1459-1498 (2021). MSC: 35J10 35P05 PDFBibTeX XMLCite \textit{D. Damanik} et al., Ann. Henri Poincaré 22, No. 5, 1459--1498 (2021; Zbl 1467.35117) Full Text: DOI
Carvalho, T. O. Forward boundedness of the trace map for the period doubling substitution. (English) Zbl 1460.81024 Nonlinearity 33, No. 9, 4390-4406 (2020); corrigendum ibid. 35, No. 6, C9-C11 (2022). MSC: 81Q10 39A70 46G12 PDFBibTeX XMLCite \textit{T. O. Carvalho}, Nonlinearity 33, No. 9, 4390--4406 (2020; Zbl 1460.81024) Full Text: DOI
Han, Rui; Yang, Fan; Zhang, Shiwen Spectral dimension for \(\beta\)-almost periodic singular Jacobi operators and the extended Harper’s model. (English) Zbl 07308606 J. Anal. Math. 142, No. 2, 605-666 (2020). MSC: 47Bxx 47Axx PDFBibTeX XMLCite \textit{R. Han} et al., J. Anal. Math. 142, No. 2, 605--666 (2020; Zbl 07308606) Full Text: DOI arXiv
Sell, Daniel Combinatorics of one-dimensional simple Toeplitz subshifts. (English) Zbl 1434.68388 Ergodic Theory Dyn. Syst. 40, No. 6, 1673-1714 (2020). MSC: 68R15 37B10 53C23 PDFBibTeX XMLCite \textit{D. Sell}, Ergodic Theory Dyn. Syst. 40, No. 6, 1673--1714 (2020; Zbl 1434.68388) Full Text: DOI arXiv
Bazao, V. R.; Carvalho, S. L.; De Oliveira, C. R. Packing subordinacy with application to spectral continuity. (English) Zbl 1441.47036 J. Aust. Math. Soc. 108, No. 2, 226-244 (2020). Reviewer: Miyeon Kwon (Platteville) MSC: 47B36 47B15 47A10 39A70 28A78 PDFBibTeX XMLCite \textit{V. R. Bazao} et al., J. Aust. Math. Soc. 108, No. 2, 226--244 (2020; Zbl 1441.47036) Full Text: DOI
Gerbuz, Vitalii Transport exponents of states with large support. (English) Zbl 1432.81030 Rev. Math. Phys. 31, No. 9, Article ID 1950029, 28 p. (2019). MSC: 81Q10 34K08 47E07 PDFBibTeX XMLCite \textit{V. Gerbuz}, Rev. Math. Phys. 31, No. 9, Article ID 1950029, 28 p. (2019; Zbl 1432.81030) Full Text: DOI arXiv
Prado, Roberto A.; Charão, Ruy C. Invariants of the trace map and uniform spectral properties for discrete Sturmian Dirac operators. (English) Zbl 1429.81030 Osaka J. Math. 56, No. 2, 391-416 (2019). Reviewer: Miyeon Kwon (Platteville) MSC: 81Q10 47B93 81Q35 46E39 34B24 PDFBibTeX XMLCite \textit{R. A. Prado} and \textit{R. C. Charão}, Osaka J. Math. 56, No. 2, 391--416 (2019; Zbl 1429.81030) Full Text: Euclid
Munger, Paul E. Frequency dependence of Hölder continuity for quasiperiodic Schrödinger operators. (English) Zbl 1475.37030 J. Fractal Geom. 6, No. 1, 53-65 (2019). MSC: 37C45 28A78 37C40 81Q10 PDFBibTeX XMLCite \textit{P. E. Munger}, J. Fractal Geom. 6, No. 1, 53--65 (2019; Zbl 1475.37030) Full Text: DOI arXiv
Damanik, David Schrödinger operators with dynamically defined potentials. (English) Zbl 06823048 Ergodic Theory Dyn. Syst. 37, No. 6, 1681-1764 (2017). MSC: 47-XX 37Axx 81-XX PDFBibTeX XMLCite \textit{D. Damanik}, Ergodic Theory Dyn. Syst. 37, No. 6, 1681--1764 (2017; Zbl 06823048) Full Text: DOI arXiv
Liu, Qinghui; Qu, Yanhui; Yao, Xiao Unbounded trace orbits of Thue-Morse Hamiltonian. (English) Zbl 1376.82038 J. Stat. Phys. 166, No. 6, 1509-1557 (2017). MSC: 82B44 81Q10 37C45 PDFBibTeX XMLCite \textit{Q. Liu} et al., J. Stat. Phys. 166, No. 6, 1509--1557 (2017; Zbl 1376.82038) Full Text: DOI
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
Damanik, David; Gorodetski, Anton; Yessen, William The Fibonacci Hamiltonian. (English) Zbl 1359.81108 Invent. Math. 206, No. 3, 629-692 (2016). Reviewer: Dazmir Shulaia (Tbilisi) MSC: 81Q10 35P05 82B30 PDFBibTeX XMLCite \textit{D. Damanik} et al., Invent. Math. 206, No. 3, 629--692 (2016; Zbl 1359.81108) Full Text: DOI arXiv
Adiceam, Faustin; Damanik, David; Gähler, Franz; Grimm, Uwe; Haynes, Alan; Julien, Antoine; Navas, Andrés; Sadun, Lorenzo; Weiss, Barak Open problems and conjectures related to the theory of mathematical quasicrystals. (English) Zbl 1349.52020 Arnold Math. J. 2, No. 4, 579-592 (2016). MSC: 52C23 PDFBibTeX XMLCite \textit{F. Adiceam} et al., Arnold Math. J. 2, No. 4, 579--592 (2016; Zbl 1349.52020) Full Text: DOI
Qu, Yan-Hui The spectral properties of the strongly coupled Sturm Hamiltonian of eventually constant type. (English) Zbl 1346.81041 Ann. Henri Poincaré 17, No. 9, 2475-2511 (2016). MSC: 81Q10 28A80 28A78 82B30 35P05 PDFBibTeX XMLCite \textit{Y.-H. Qu}, Ann. Henri Poincaré 17, No. 9, 2475--2511 (2016; Zbl 1346.81041) Full Text: DOI arXiv
Harju, Tero; Vesti, Jetro; Zamboni, Luca Q. On a question of Hof, Knill and Simon on palindromic substitutive systems. (English) Zbl 1354.37025 Monatsh. Math. 179, No. 3, 379-388 (2016). MSC: 37B10 34L40 PDFBibTeX XMLCite \textit{T. Harju} et al., Monatsh. Math. 179, No. 3, 379--388 (2016; Zbl 1354.37025) Full Text: DOI arXiv
Liu, Qing-Hui Cookie-cutter-like dynamic system of unbounded expansion. (English) Zbl 1335.81074 Bohner, Martin (ed.) et al., Difference equations, discrete dynamical systems and applications. Proceedings of the 20th international conference on difference equations and applications, ICDEA, Wuhan, China, July 21–25, 2014. Cham: Springer (ISBN 978-3-319-24745-8/hbk; 978-3-319-24747-2/ebook). Springer Proceedings in Mathematics & Statistics 150, 109-117 (2015). MSC: 81Q10 28A78 37C45 82B30 PDFBibTeX XMLCite \textit{Q.-H. Liu}, Springer Proc. Math. Stat. 150, 109--117 (2015; Zbl 1335.81074) Full Text: DOI
Damanik, David; Gorodetski, Anton; Liu, Qing-Hui; Qu, Yan-Hui Transport exponents of Sturmian Hamiltonians. (English) Zbl 1323.82038 J. Funct. Anal. 269, No. 5, 1404-1440 (2015). Reviewer: Claudia-Veronika Meister (Darmstadt) MSC: 82C70 82D25 PDFBibTeX XMLCite \textit{D. Damanik} et al., J. Funct. Anal. 269, No. 5, 1404--1440 (2015; Zbl 1323.82038) Full Text: DOI arXiv
Damanik, David; Gorodetski, Anton; Solomyak, Boris Absolutely continuous convolutions of singular measures and an application to the square Fibonacci Hamiltonian. (English) Zbl 1358.37117 Duke Math. J. 164, No. 8, 1603-1640 (2015). MSC: 37N20 47N50 81Q10 37C45 47B36 PDFBibTeX XMLCite \textit{D. Damanik} et al., Duke Math. J. 164, No. 8, 1603--1640 (2015; Zbl 1358.37117) Full Text: DOI arXiv Euclid
Damanik, David; Gorodetski, Anton Almost sure frequency independence of the dimension of the spectrum of Sturmian Hamiltonians. (English) Zbl 1327.47029 Commun. Math. Phys. 337, No. 3, 1241-1253 (2015). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 47B37 47A10 28A78 PDFBibTeX XMLCite \textit{D. Damanik} and \textit{A. Gorodetski}, Commun. Math. Phys. 337, No. 3, 1241--1253 (2015; Zbl 1327.47029) Full Text: DOI arXiv
Damanik, David; Gorodetski, Anton Almost ballistic transport for the weakly coupled Fibonacci Hamiltonian. (English) Zbl 1310.81065 Isr. J. Math. 206, 109-126 (2015). MSC: 81Q10 81Q05 82C10 82D25 28A80 81Q35 34L40 PDFBibTeX XMLCite \textit{D. Damanik} and \textit{A. Gorodetski}, Isr. J. Math. 206, 109--126 (2015; Zbl 1310.81065) Full Text: DOI arXiv
Munger, Paul E.; Ong, Darren C. The Hölder continuity of spectral measures of an extended CMV matrix. (English) Zbl 1297.81076 J. Math. Phys. 55, No. 9, 093507, 10 p. (2014). MSC: 81Q05 81Q10 26A16 15A18 47B36 PDFBibTeX XMLCite \textit{P. E. Munger} and \textit{D. C. Ong}, J. Math. Phys. 55, No. 9, 093507, 10 p. (2014; Zbl 1297.81076) Full Text: DOI arXiv Link
Ong, Darren C. Purely singular continuous spectrum for CMV operators generated by subshifts. (English) Zbl 1325.47068 J. Stat. Phys. 155, No. 4, 763-776 (2014). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 47B36 42C05 47A10 47N50 82B20 82D25 PDFBibTeX XMLCite \textit{D. C. Ong}, J. Stat. Phys. 155, No. 4, 763--776 (2014; Zbl 1325.47068) Full Text: DOI arXiv
Liu, Qing-Hui; Qu, Yan-Hui; Wen, Zhi-Ying The fractal dimensions of the spectrum of Sturm Hamiltonian. (English) Zbl 1294.28008 Adv. Math. 257, 285-336 (2014). Reviewer: Boris A. Kats (Kazan) MSC: 28A78 37C45 81Q10 PDFBibTeX XMLCite \textit{Q.-H. Liu} et al., Adv. Math. 257, 285--336 (2014; Zbl 1294.28008) Full Text: DOI arXiv
Damanik, David; Munger, Paul; Yessen, William N. Orthogonal polynomials on the unit circle with Fibonacci Verblunsky coefficients. II. Applications. (English) Zbl 1291.33010 J. Stat. Phys. 153, No. 2, 339-362 (2013). MSC: 33C45 37F35 82B20 PDFBibTeX XMLCite \textit{D. Damanik} et al., J. Stat. Phys. 153, No. 2, 339--362 (2013; Zbl 1291.33010) Full Text: DOI arXiv
Damanik, David; Gorodetski, Anton Hölder continuity of the integrated density of states for the Fibonacci Hamiltonian. (English) Zbl 1276.81059 Commun. Math. Phys. 323, No. 2, 497-515 (2013). MSC: 81Q10 81Q05 82B10 39A12 11B39 PDFBibTeX XMLCite \textit{D. Damanik} and \textit{A. Gorodetski}, Commun. Math. Phys. 323, No. 2, 497--515 (2013; Zbl 1276.81059) Full Text: DOI arXiv
Beckus, Siegfried; Pogorzelski, Felix Spectrum of Lebesgue measure zero for Jacobi matrices of quasicrystals. (English) Zbl 1273.81087 Math. Phys. Anal. Geom. 16, No. 3, 289-308 (2013). MSC: 81Q10 47B80 37A30 52C23 PDFBibTeX XMLCite \textit{S. Beckus} and \textit{F. Pogorzelski}, Math. Phys. Anal. Geom. 16, No. 3, 289--308 (2013; Zbl 1273.81087) Full Text: DOI arXiv
Karpeshina, Yulia; Shterenberg, Roman Extended states for polyharmonic operators with quasi-periodic potentials in dimension two. (English) Zbl 1278.81078 J. Math. Phys. 53, No. 10, 103512, 8 p. (2012). MSC: 81Q10 31B30 33B10 PDFBibTeX XMLCite \textit{Y. Karpeshina} and \textit{R. Shterenberg}, J. Math. Phys. 53, No. 10, 103512, 8 p. (2012; Zbl 1278.81078) Full Text: DOI arXiv
Marin, Laurent On- and off-diagonal Sturmian operators: dynamic and spectral dimension. (English) Zbl 1250.81041 Rev. Math. Phys. 24, No. 5, 1250011, 23 p. (2012). MSC: 81Q10 47B36 81Q05 34L40 37C55 PDFBibTeX XMLCite \textit{L. Marin}, Rev. Math. Phys. 24, No. 5, 1250011, 23 p. (2012; Zbl 1250.81041) Full Text: DOI arXiv
Fan, Shen; Liu, Qing-Hui; Wen, Zhi-Ying Gibbs-like measure for spectrum of a class of quasi-crystals. (English) Zbl 1242.81067 Ergodic Theory Dyn. Syst. 31, No. 6, 1669-1695 (2011). MSC: 81Q05 81Q10 11A55 39A70 47B39 PDFBibTeX XMLCite \textit{S. Fan} et al., Ergodic Theory Dyn. Syst. 31, No. 6, 1669--1695 (2011; Zbl 1242.81067) Full Text: DOI
Damanik, David; Gorodetski, Anton Spectral and quantum dynamical properties of the weakly coupled Fibonacci Hamiltonian. (English) Zbl 1232.81016 Commun. Math. Phys. 305, No. 1, 221-277 (2011). Reviewer: Hideo Yamagata (Osaka) MSC: 81Q05 81Q10 PDFBibTeX XMLCite \textit{D. Damanik} and \textit{A. Gorodetski}, Commun. Math. Phys. 305, No. 1, 221--277 (2011; Zbl 1232.81016) Full Text: DOI arXiv
De Simone, Emiliano; Marin, Laurent Hyperbolicity of the trace map for a strongly coupled quasiperiodic Schrödinger operator. (English) Zbl 1230.37039 Monatsh. Math. 163, No. 2, 211-235 (2011). Reviewer: Eugene Ershov (St. Petersburg) MSC: 37D20 81Q10 47B37 PDFBibTeX XMLCite \textit{E. De Simone} and \textit{L. Marin}, Monatsh. Math. 163, No. 2, 211--235 (2011; Zbl 1230.37039) Full Text: DOI arXiv
Avila, Artur; Jitomirskaya, Svetlana Hölder continuity of absolutely continuous spectral measures for one-frequency Schrödinger operators. (English) Zbl 1215.47025 Commun. Math. Phys. 301, No. 2, 563-581 (2011). Reviewer: Khanlar R. Mamedov (Mersin) MSC: 47B36 47A10 37H05 34L40 81Q10 PDFBibTeX XMLCite \textit{A. Avila} and \textit{S. Jitomirskaya}, Commun. Math. Phys. 301, No. 2, 563--581 (2011; Zbl 1215.47025) Full Text: DOI arXiv
Marin, L. Dynamical bounds for Sturmian Schrödinger operators. (English) Zbl 1201.81052 Rev. Math. Phys. 22, No. 8, 859-879 (2010). MSC: 81Q10 47B36 35Q41 82D20 37C55 PDFBibTeX XMLCite \textit{L. Marin}, Rev. Math. Phys. 22, No. 8, 859--879 (2010; Zbl 1201.81052) Full Text: DOI arXiv
Breuer, Jonathan; Last, Yoram; Simon, Barry The Nevai condition. (English) Zbl 1198.42021 Constr. Approx. 32, No. 2, 221-254 (2010). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 42C05 39A10 30C10 PDFBibTeX XMLCite \textit{J. Breuer} et al., Constr. Approx. 32, No. 2, 221--254 (2010; Zbl 1198.42021) Full Text: DOI arXiv Link
Dubickas, Artūras Squares and cubes in Sturmian sequences. (English) Zbl 1176.68150 Theor. Inform. Appl. 43, No. 3, 615-624 (2009). MSC: 68R15 11B85 PDFBibTeX XMLCite \textit{A. Dubickas}, Theor. Inform. Appl. 43, No. 3, 615--624 (2009; Zbl 1176.68150) Full Text: DOI Numdam EuDML
Damanik, David; Tcheremchantsev, Serguei Quantum dynamics via complex analysis methods: general upper bounds without time-averaging and tight lower bounds for the strongly coupled Fibonacci Hamiltonian. (English) Zbl 1153.81011 J. Funct. Anal. 255, No. 10, 2872-2887 (2008). MSC: 81Q10 35J10 81Q05 PDFBibTeX XMLCite \textit{D. Damanik} and \textit{S. Tcheremchantsev}, J. Funct. Anal. 255, No. 10, 2872--2887 (2008; Zbl 1153.81011) Full Text: DOI arXiv
Liu, Qing-Hui; Peyrière, Jacques; Wen, Zhi-Ying Dimension of the spectrum of one-dimensional discrete Schrödinger operators with Sturmian potentials. (English) Zbl 1132.47027 C. R., Math., Acad. Sci. Paris 345, No. 12, 667-672 (2007). Reviewer: Petru A. Cojuhari (Kraków) MSC: 47B39 81Q10 47A10 PDFBibTeX XMLCite \textit{Q.-H. Liu} et al., C. R., Math., Acad. Sci. Paris 345, No. 12, 667--672 (2007; Zbl 1132.47027) Full Text: DOI
Damanik, David; Tcheremchantsev, Serguei Upper bounds in quantum dynamics. (English) Zbl 1114.81036 J. Am. Math. Soc. 20, No. 3, 799-827 (2007). Reviewer: Mihai Pascu (Bucureşti) MSC: 81Q10 47B36 47B39 PDFBibTeX XMLCite \textit{D. Damanik} and \textit{S. Tcheremchantsev}, J. Am. Math. Soc. 20, No. 3, 799--827 (2007; Zbl 1114.81036) Full Text: DOI arXiv
Damanik, David; Tcheremchantsev, Serguei Scaling estimates for solutions and dynamical lower bounds on wavepacket spreading. (English) Zbl 1132.81018 J. Anal. Math. 97, 103-131 (2006). MSC: 81Q10 37B10 37N20 47B36 82B10 PDFBibTeX XMLCite \textit{D. Damanik} and \textit{S. Tcheremchantsev}, J. Anal. Math. 97, 103--131 (2006; Zbl 1132.81018) Full Text: DOI arXiv
Damanik, David; Lenz, Daniel Zero-measure Cantor spectrum for Schrödinger operators with low-complexity potentials. (English) Zbl 1122.47028 J. Math. Pures Appl. (9) 85, No. 5, 671-686 (2006). Reviewer: Vassilis G. Papanicolaou (Athena) MSC: 47B36 37A30 47B39 37B10 39A70 47B80 PDFBibTeX XMLCite \textit{D. Damanik} and \textit{D. Lenz}, J. Math. Pures Appl. (9) 85, No. 5, 671--686 (2006; Zbl 1122.47028) Full Text: DOI Link
Damanik, David; Lenz, Daniel Substitution dynamical systems: characterization of linear repetitivity and applications. (English) Zbl 1094.37007 J. Math. Anal. Appl. 321, No. 2, 766-780 (2006). MSC: 37B10 37B05 37A45 47B80 47B39 PDFBibTeX XMLCite \textit{D. Damanik} and \textit{D. Lenz}, J. Math. Anal. Appl. 321, No. 2, 766--780 (2006; Zbl 1094.37007) Full Text: DOI arXiv
Damanik, David; Killip, Rowan; Simon, Barry Schrödinger operators with few bound states. (English) Zbl 1082.47029 Commun. Math. Phys. 258, No. 3, 741-750 (2005). Reviewer: Takashi Ichinose (Kanazawa) MSC: 47B39 47A10 81Q10 47N50 35J10 35P05 PDFBibTeX XMLCite \textit{D. Damanik} et al., Commun. Math. Phys. 258, No. 3, 741--750 (2005; Zbl 1082.47029) Full Text: DOI arXiv Link
Adamczewski, Boris On powers of words occurring in binary codings of rotations. (English) Zbl 1113.37002 Adv. Appl. Math. 34, No. 1, 1-29 (2005). Reviewer: Anne Siegel (Rennes) MSC: 37B10 68R15 11J70 11B85 PDFBibTeX XMLCite \textit{B. Adamczewski}, Adv. Appl. Math. 34, No. 1, 1--29 (2005; Zbl 1113.37002) Full Text: DOI
Damanik, David Dynamical upper bounds for one-dimensional quasicrystals. (English) Zbl 1077.81039 J. Math. Anal. Appl. 303, No. 1, 327-341 (2005). MSC: 81Q10 47B36 47B39 47N55 PDFBibTeX XMLCite \textit{D. Damanik}, J. Math. Anal. Appl. 303, No. 1, 327--341 (2005; Zbl 1077.81039) Full Text: DOI arXiv
Damanik, David; Sütő, András; Tcheremchantsev, Serguei Power-law bounds on transfer matrices and quantum dynamics in one dimension. II. (English) Zbl 1059.81055 J. Funct. Anal. 216, No. 2, 362-387 (2004). MSC: 81Q10 34L40 PDFBibTeX XMLCite \textit{D. Damanik} et al., J. Funct. Anal. 216, No. 2, 362--387 (2004; Zbl 1059.81055) Full Text: DOI arXiv
Damanik, David; Lenz, Daniel Uniform spectral properties of one-dimensional quasicrystals. IV. Quasi-Sturmian potentials. (English) Zbl 1173.81315 J. Anal. Math. 90, 115-139 (2003). MSC: 81Q10 39A70 47B36 PDFBibTeX XMLCite \textit{D. Damanik} and \textit{D. Lenz}, J. Anal. Math. 90, 115--139 (2003; Zbl 1173.81315) Full Text: DOI arXiv
Damanik, D.; Zamboni, Luca Q. Combinatorial properties of Arnoux-Rauzy subshifts and applications to Schrödinger operators. (English) Zbl 1081.81521 Rev. Math. Phys. 15, No. 7, 745-763 (2003). MSC: 81Q10 37B10 39A70 47B39 47B80 47N50 PDFBibTeX XMLCite \textit{D. Damanik} and \textit{L. Q. Zamboni}, Rev. Math. Phys. 15, No. 7, 745--763 (2003; Zbl 1081.81521) Full Text: DOI
Lenz, Daniel Hierarchical structures in Sturmian dynamical systems. (English) Zbl 1027.37006 Theor. Comput. Sci. 303, No. 2-3, 463-490 (2003). MSC: 37B10 52C23 37A30 37N20 68R15 PDFBibTeX XMLCite \textit{D. Lenz}, Theor. Comput. Sci. 303, No. 2--3, 463--490 (2003; Zbl 1027.37006) Full Text: DOI arXiv
Damanik, David; Lenz, Daniel Powers in Sturmian sequences. (English) Zbl 1030.68068 Eur. J. Comb. 24, No. 4, 377-390 (2003). MSC: 68R15 PDFBibTeX XMLCite \textit{D. Damanik} and \textit{D. Lenz}, Eur. J. Comb. 24, No. 4, 377--390 (2003; Zbl 1030.68068) Full Text: DOI
Damanik, David; Landrigan, Michael Log-dimensional spectral properties of one-dimensional quasicrystals. (English) Zbl 1075.81024 Proc. Am. Math. Soc. 131, No. 7, 2209-2216 (2003). MSC: 81Q10 39A70 47B39 47N50 PDFBibTeX XMLCite \textit{D. Damanik} and \textit{M. Landrigan}, Proc. Am. Math. Soc. 131, No. 7, 2209--2216 (2003; Zbl 1075.81024) Full Text: DOI arXiv
Antoniou, I.; Suchanecki, Z. Quantum systems with fractal spectra. (English) Zbl 1049.81020 Chaos Solitons Fractals 14, No. 6, 799-807 (2002). MSC: 81Q10 28A80 PDFBibTeX XMLCite \textit{I. Antoniou} and \textit{Z. Suchanecki}, Chaos Solitons Fractals 14, No. 6, 799--807 (2002; Zbl 1049.81020) Full Text: DOI
Allouche, J.-P.; Davison, J. L.; Queffélec, M.; Zamboni, L. Q. Transcendence of Sturmian or morphic continued fractions. (English) Zbl 0998.11036 J. Number Theory 91, No. 1, 39-66 (2001). Reviewer: R.F.Tichy (Graz) MSC: 11J70 11B83 PDFBibTeX XMLCite \textit{J. P. Allouche} et al., J. Number Theory 91, No. 1, 39--66 (2001; Zbl 0998.11036) Full Text: DOI Link