Allaart, Pieter; Kong, Derong Density spectrum of Cantor measure. (English) Zbl 07614284 Nonlinearity 35, No. 12, 6453-6484 (2022). MSC: 28A80 28A78 37B10 26A30 PDF BibTeX XML Cite \textit{P. Allaart} and \textit{D. Kong}, Nonlinearity 35, No. 12, 6453--6484 (2022; Zbl 07614284) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{L. Li} et al., J. Funct. Anal. 283, No. 12, Article ID 109709, 52 p. (2022; Zbl 07605366) Full Text: DOI arXiv OpenURL
Lima, Davi; Moreira, Carlos Gustavo Dynamical characterization of initial segments of the Markov and Lagrange spectra. (English) Zbl 1498.11158 Monatsh. Math. 199, No. 4, 817-852 (2022). MSC: 11J06 11A55 37B10 PDF BibTeX XML Cite \textit{D. Lima} and \textit{C. G. Moreira}, Monatsh. Math. 199, No. 4, 817--852 (2022; Zbl 1498.11158) Full Text: DOI arXiv OpenURL
Chaika, Jon; Damanik, David; Fillman, Jake; Gohlke, Philipp Zero measure spectrum for multi-frequency Schrödinger operators. (English) Zbl 07597907 J. Spectr. Theory 12, No. 2, 573-590 (2022). MSC: 47B36 PDF BibTeX XML Cite \textit{J. Chaika} et al., J. Spectr. Theory 12, No. 2, 573--590 (2022; Zbl 07597907) Full Text: DOI arXiv OpenURL
Wu, Fan; Fu, Linlin; Xu, Jiahao On the density of certain spectral points for a class of \(C^2\) quasiperiodic Schrödinger cocycles. (English) Zbl 1496.37029 Discrete Contin. Dyn. Syst. 42, No. 5, 2525-2540 (2022). MSC: 37D25 37A30 37C40 PDF BibTeX XML Cite \textit{F. Wu} et al., Discrete Contin. Dyn. Syst. 42, No. 5, 2525--2540 (2022; Zbl 1496.37029) Full Text: DOI OpenURL
Rabinovich, V. S. Dirac operators with singular potentials supported on unbounded surfaces in \(\mathbb{R}^3 \). (English. Russian original) Zbl 1486.81101 Funct. Anal. Appl. 55, No. 3, 245-249 (2021); translation from Funkts. Anal. Prilozh. 55, No. 3, 85-90 (2021). MSC: 81Q05 81R25 81R20 26A30 47B25 47A10 78A30 46F10 PDF BibTeX XML Cite \textit{V. S. Rabinovich}, Funct. Anal. Appl. 55, No. 3, 245--249 (2021; Zbl 1486.81101); translation from Funkts. Anal. Prilozh. 55, No. 3, 85--90 (2021) Full Text: DOI OpenURL
Matheus, Carlos; Moreira, Carlos Gustavo Diophantine approximation, Lagrange and Markov spectra, and dynamical Cantor sets. (English) Zbl 1481.11071 Notices Am. Math. Soc. 68, No. 8, 1301-1311 (2021). MSC: 11J04 11J06 28A80 37A44 PDF BibTeX XML Cite \textit{C. Matheus} and \textit{C. G. Moreira}, Notices Am. Math. Soc. 68, No. 8, 1301--1311 (2021; Zbl 1481.11071) Full Text: DOI OpenURL
García, Ignacio; Hare, Kathryn E.; Mendivil, Franklin Intermediate Assouad-like dimensions. (English) Zbl 1485.28006 J. Fractal Geom. 8, No. 3, 201-245 (2021). MSC: 28A78 28A80 PDF BibTeX XML Cite \textit{I. García} et al., J. Fractal Geom. 8, No. 3, 201--245 (2021; Zbl 1485.28006) Full Text: DOI arXiv OpenURL
Lima, Davi; Moreira, Carlos Gustavo Phase transitions on the Markov and Lagrange dynamical spectra. (English) Zbl 1483.37036 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 38, No. 5, 1429-1459 (2021). Reviewer: Xu Zhang (Weihai) MSC: 37C35 37C45 37D05 11J06 PDF BibTeX XML Cite \textit{D. Lima} and \textit{C. G. Moreira}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 38, No. 5, 1429--1459 (2021; Zbl 1483.37036) Full Text: DOI arXiv OpenURL
Lima, Davi; Matheus, Carlos; Moreira, Carlos G.; Romaña, Sergio Classical and dynamical Markov and Lagrange spectra. Dynamical, fractal and arithmetic aspects. (English) Zbl 1484.11001 Hackensack, NJ: World Scientific (ISBN 978-981-12-2528-4/hbk; 978-981-12-2530-7/ebook). xiii, 213 p. (2021). Reviewer: Oto Strauch (Bratislava) MSC: 11-02 37-02 11K60 11J06 37A44 37Pxx PDF BibTeX XML Cite \textit{D. Lima} et al., Classical and dynamical Markov and Lagrange spectra. Dynamical, fractal and arithmetic aspects. Hackensack, NJ: World Scientific (2021; Zbl 1484.11001) Full Text: DOI OpenURL
Matheus, Carlos The beginning of the Lagrange spectrum of certain origamis of genus two. (English) Zbl 1448.37042 C. R., Math., Acad. Sci. Paris 358, No. 4, 475-479 (2020). MSC: 37D40 37C45 11J06 32G15 PDF BibTeX XML Cite \textit{C. Matheus}, C. R., Math., Acad. Sci. Paris 358, No. 4, 475--479 (2020; Zbl 1448.37042) Full Text: DOI OpenURL
Artigiani, Mauro; Marchese, Luca; Ulcigrai, Corinna Persistent Hall rays for Lagrange spectra at cusps of Riemann surfaces. (English) Zbl 1446.37010 Ergodic Theory Dyn. Syst. 40, No. 8, 2017-2072 (2020). Reviewer: Thomas B. Ward (Leeds) MSC: 37A44 37D40 11J06 30F35 PDF BibTeX XML Cite \textit{M. Artigiani} et al., Ergodic Theory Dyn. Syst. 40, No. 8, 2017--2072 (2020; Zbl 1446.37010) Full Text: DOI arXiv Link OpenURL
Cedzich, C.; Fillman, J.; Geib, T.; Werner, A. H. Singular continuous Cantor spectrum for magnetic quantum walks. (English) Zbl 1445.81025 Lett. Math. Phys. 110, No. 6, 1141-1158 (2020). MSC: 81Q35 81Q10 81V10 78A30 35P05 82D25 82D37 82C41 PDF BibTeX XML Cite \textit{C. Cedzich} et al., Lett. Math. Phys. 110, No. 6, 1141--1158 (2020; Zbl 1445.81025) Full Text: DOI arXiv OpenURL
Chen, Ming-Liang; Liu, Jing-Cheng; Su, Juan; Wang, Xiang-Yang Spectrality of a class of Moran measures. (English) Zbl 1437.28010 Can. Math. Bull. 63, No. 2, 366-381 (2020). MSC: 28A80 42C05 46C05 PDF BibTeX XML Cite \textit{M.-L. Chen} et al., Can. Math. Bull. 63, No. 2, 366--381 (2020; Zbl 1437.28010) Full Text: DOI OpenURL
Wang, Cong; Yin, Feng-Li Exponential orthonormal bases of Cantor-Moran measures. (English) Zbl 1434.28003 Fractals 27, No. 8, Article ID 1950136, 10 p. (2019). MSC: 28A25 42B10 PDF BibTeX XML Cite \textit{C. Wang} and \textit{F.-L. Yin}, Fractals 27, No. 8, Article ID 1950136, 10 p. (2019; Zbl 1434.28003) Full Text: DOI OpenURL
Hou, Xuanji; Shan, Yuan; You, Jiangong Construction of quasiperiodic Schrödinger operators with Cantor spectrum. (English) Zbl 1430.37027 Ann. Henri Poincaré 20, No. 11, 3563-3601 (2019). Reviewer: Namig Guliyev (Baku) MSC: 37C45 47A10 34L05 34L40 PDF BibTeX XML Cite \textit{X. Hou} et al., Ann. Henri Poincaré 20, No. 11, 3563--3601 (2019; Zbl 1430.37027) Full Text: DOI OpenURL
van Frankenhuijsen, Machiel The spectral operator and resonances. (English) Zbl 1423.11149 Niemeyer, Robert G. (ed.) et al., Horizons of fractal geometry and complex dimensions. 2016 summer school on fractal geometry and complex dimensions, in celebration of the 60th birthday of Michel Lapidus, California Polytechnic State University, San Luis Obispo, California, USA, June 21–29, 2016. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 731, 115-131 (2019). MSC: 11M06 11M26 28A80 30D15 47A10 PDF BibTeX XML Cite \textit{M. van Frankenhuijsen}, Contemp. Math. 731, 115--131 (2019; Zbl 1423.11149) Full Text: DOI OpenURL
Wu, Zhi-Yi On spectral eigenvalue problem of a class of generalized Cantor measures. (English) Zbl 1426.28025 J. Math. Anal. Appl. 480, No. 1, Article ID 123374, 11 p. (2019). MSC: 28A80 47A10 PDF BibTeX XML Cite \textit{Z.-Y. Wu}, J. Math. Anal. Appl. 480, No. 1, Article ID 123374, 11 p. (2019; Zbl 1426.28025) Full Text: DOI OpenURL
Mallet-Paret, John; Nussbaum, Roger D. Intricate structure of the analyticity set for solutions of a class of integral equations. (English) Zbl 1436.47013 J. Dyn. Differ. Equations 31, No. 3, 1045-1077 (2019). Reviewer: Jürgen Appell (Würzburg) MSC: 47G10 45P05 47B07 47A10 34K13 PDF BibTeX XML Cite \textit{J. Mallet-Paret} and \textit{R. D. Nussbaum}, J. Dyn. Differ. Equations 31, No. 3, 1045--1077 (2019; Zbl 1436.47013) Full Text: DOI OpenURL
Sherman, Casey Characterizing orbit structures of homeomorphisms on Cantor sets. (English) Zbl 1472.37014 Fundam. Math. 245, No. 1, 1-24 (2019). Reviewer: Jian Li (Shantou) MSC: 37B02 37C35 PDF BibTeX XML Cite \textit{C. Sherman}, Fundam. Math. 245, No. 1, 1--24 (2019; Zbl 1472.37014) Full Text: DOI OpenURL
Laking, Rosanna Krull-Gabriel dimension and the Ziegler spectrum. (English) Zbl 1414.16016 Leuschke, Graham J. (ed.) et al., Representations of algebras. 17th workshop and international conference on representations of algebras (ICRA 2016), Syracuse University, Syracuse, NY, USA, August 10–19, 2016. Proceedings. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 705, 115-130 (2018). MSC: 16G99 18E15 16G60 18E30 PDF BibTeX XML Cite \textit{R. Laking}, Contemp. Math. 705, 115--130 (2018; Zbl 1414.16016) Full Text: DOI OpenURL
O’Neil, Toby C. Measuring anisotropy in planar sets. (English) Zbl 1400.26004 Real Anal. Exch. 43, No. 1, 51-56 (2018). Reviewer: Andrey Zahariev (Plovdiv) MSC: 26A03 26A30 26A99 PDF BibTeX XML Cite \textit{T. C. O'Neil}, Real Anal. Exch. 43, No. 1, 51--56 (2018; Zbl 1400.26004) OpenURL
Zarrabi, Mohamed On operators with spectrum in Cantor sets and spectral synthesis. (English) Zbl 06877153 J. Math. Anal. Appl. 462, No. 1, 764-776 (2018). MSC: 47A10 PDF BibTeX XML Cite \textit{M. Zarrabi}, J. Math. Anal. Appl. 462, No. 1, 764--776 (2018; Zbl 06877153) Full Text: DOI OpenURL
Laking, Rosanna; Prest, Mike; Puninski, Gena Krull-Gabriel dimension of domestic string algebras. (English) Zbl 06862797 Trans. Am. Math. Soc. 370, No. 7, 4813-4840 (2018). MSC: 16G20 16G60 03C60 PDF BibTeX XML Cite \textit{R. Laking} et al., Trans. Am. Math. Soc. 370, No. 7, 4813--4840 (2018; Zbl 06862797) Full Text: DOI arXiv OpenURL
Jaffard, Stéphane; Martin, Bruno Multifractal analysis of the Brjuno function. (English) Zbl 1435.11014 Invent. Math. 212, No. 1, 109-132 (2018). Reviewer: Symon Serbenyuk (Kyiv) MSC: 11A55 11J70 11K50 26A15 26A30 28A80 37F50 PDF BibTeX XML Cite \textit{S. Jaffard} and \textit{B. Martin}, Invent. Math. 212, No. 1, 109--132 (2018; Zbl 1435.11014) Full Text: DOI arXiv OpenURL
Messaoudi, Ali; Valle, Glauco Spectra of generalized stochastic adding machines. (English) Zbl 1394.37076 Fundam. Math. 241, No. 1, 17-43 (2018). MSC: 37F50 37A30 47A10 37H10 03D10 PDF BibTeX XML Cite \textit{A. Messaoudi} and \textit{G. Valle}, Fundam. Math. 241, No. 1, 17--43 (2018; Zbl 1394.37076) Full Text: DOI OpenURL
Allaart, Pieter C. Differentiability and Hölder spectra of a class of self-affine functions. (English) Zbl 1391.28004 Adv. Math. 328, 1-39 (2018). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 28A78 26A16 26A27 26A30 28A80 PDF BibTeX XML Cite \textit{P. C. Allaart}, Adv. Math. 328, 1--39 (2018; Zbl 1391.28004) Full Text: DOI arXiv OpenURL
Pan, Xuezai; Shang, Xudong; Wang, Minggang; Zuo-Fei The Cantor set’s multi-fractal spectrum formed by different probability factors in mathematical experiment. (English) Zbl 1371.28009 Fractals 25, No. 1, Article ID 1750002, 8 p. (2017). MSC: 28A78 28A80 PDF BibTeX XML Cite \textit{X. Pan} et al., Fractals 25, No. 1, Article ID 1750002, 8 p. (2017; Zbl 1371.28009) Full Text: DOI OpenURL
Exner, Pavel; Vašata, Daniel Cantor spectra of magnetic chain graphs. (English) Zbl 1368.82003 J. Phys. A, Math. Theor. 50, No. 16, Article ID 165201, 13 p. (2017). MSC: 82B20 28A80 82D40 PDF BibTeX XML Cite \textit{P. Exner} and \textit{D. Vašata}, J. Phys. A, Math. Theor. 50, No. 16, Article ID 165201, 13 p. (2017; Zbl 1368.82003) Full Text: DOI arXiv OpenURL
Lawvere, F. William Birkhoff’s theorem from a geometric perspective: a simple example. (English) Zbl 1468.18005 Categ. Gen. Algebr. Struct. Appl. 4, No. 1, 1-8 (2016). MSC: 18B25 03G30 PDF BibTeX XML Cite \textit{F. W. Lawvere}, Categ. Gen. Algebr. Struct. Appl. 4, No. 1, 1--8 (2016; Zbl 1468.18005) OpenURL
Arzt, Peter Measure theoretic trigonometric functions. (English) Zbl 1320.28012 J. Fractal Geom. 2, No. 2, 115-169 (2015). Reviewer: Peter Massopust (München) MSC: 28A80 26A30 34B09 34L16 PDF BibTeX XML Cite \textit{P. Arzt}, J. Fractal Geom. 2, No. 2, 115--169 (2015; Zbl 1320.28012) Full Text: DOI arXiv OpenURL
Jorgensen, Palle E. T.; Kornelson, Keri A.; Shuman, Karen L. Additive spectra of the \(\frac 14\) Cantor measure. (English) Zbl 1307.42002 Furst, Veronika (ed.) et al., Operator methods in wavelets, tilings, and frames. AMS special session on harmonic analysis of frames, wavelets, and tilings, Boulder, CO, USA, April 13–14, 2013. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1040-7/pbk; 978-1-4704-1957-8/ebook). Contemporary Mathematics 626, 121-128 (2014). MSC: 42A16 28A80 28C10 47A10 PDF BibTeX XML Cite \textit{P. E. T. Jorgensen} et al., Contemp. Math. 626, 121--128 (2014; Zbl 1307.42002) Full Text: arXiv OpenURL
Halilović, Sanela; Vugdalić, Ramiz The Rhodius spectra of some nonlinear superposition operators in the spaces of sequences. (English) Zbl 1322.47056 Adv. Math., Sci. J. 3, No. 2, 83-96 (2014). Reviewer: Małgorzata Wróbel (Czȩstochowa) MSC: 47H30 26A15 26A30 26A45 47J10 PDF BibTeX XML Cite \textit{S. Halilović} and \textit{R. Vugdalić}, Adv. Math., Sci. J. 3, No. 2, 83--96 (2014; Zbl 1322.47056) OpenURL
Puninski, Gena; Toffalori, Carlo Decidability of modules over a Bézout domain \(D+XQ[X]\) with \(D\) a principal ideal domain and \(Q\) its field of fractions. (English) Zbl 1337.03051 J. Symb. Log. 79, No. 1, 296-305 (2014). MSC: 03C60 13F05 13F30 13L05 PDF BibTeX XML Cite \textit{G. Puninski} and \textit{C. Toffalori}, J. Symb. Log. 79, No. 1, 296--305 (2014; Zbl 1337.03051) Full Text: DOI OpenURL
Ball, Richard N.; Marra, Vincenzo Unital hyperarchimedean vector lattices. (English) Zbl 1301.06041 Topology Appl. 170, 10-24 (2014). MSC: 06F20 06E15 46E25 54C30 54C40 54H10 PDF BibTeX XML Cite \textit{R. N. Ball} and \textit{V. Marra}, Topology Appl. 170, 10--24 (2014; Zbl 1301.06041) Full Text: DOI arXiv OpenURL
Lenz, Daniel; Seifert, Christian; Stollmann, Peter Zero measure Cantor spectra for continuum one-dimensional quasicrystals. (English) Zbl 1351.47030 J. Differ. Equations 256, No. 6, 1905-1926 (2014). Reviewer: Matheus Cheque Bortolan (Lima) MSC: 47B80 47A10 47A35 35J10 PDF BibTeX XML Cite \textit{D. Lenz} et al., J. Differ. Equations 256, No. 6, 1905--1926 (2014; Zbl 1351.47030) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{S. Beckus} and \textit{F. Pogorzelski}, Math. Phys. Anal. Geom. 16, No. 3, 289--308 (2013; Zbl 1273.81087) Full Text: DOI arXiv OpenURL
Gordon, Alexander Y. A spectral alternative for continuous families of self-adjoint operators. (English) Zbl 1286.47010 J. Spectr. Theory 3, No. 2, 129-145 (2013). Reviewer: Cătălin Badea (Villeneuve d’Ascq) MSC: 47A56 47B25 34L40 47E05 PDF BibTeX XML Cite \textit{A. Y. Gordon}, J. Spectr. Theory 3, No. 2, 129--145 (2013; Zbl 1286.47010) Full Text: DOI OpenURL
Puninski, Gena Krull-Gabriel dimension and Cantor-Bendixson rank of 1-domestic string algebras. (English) Zbl 1285.16015 Colloq. Math. 127, No. 2, 185-211 (2012). MSC: 16G20 16D50 03C60 16P60 16G60 PDF BibTeX XML Cite \textit{G. Puninski}, Colloq. Math. 127, No. 2, 185--211 (2012; Zbl 1285.16015) OpenURL
Damanik, David; Gan, Zheng Spectral properties of limit-periodic Schrödinger operators. (English) Zbl 1242.47023 Commun. Pure Appl. Anal. 10, No. 3, 859-871 (2011). Reviewer: Leonid Golinskii (Kharkov) MSC: 47B36 81Q10 47B80 PDF BibTeX XML Cite \textit{D. Damanik} and \textit{Z. Gan}, Commun. Pure Appl. Anal. 10, No. 3, 859--871 (2011; Zbl 1242.47023) Full Text: DOI arXiv OpenURL
Puninski, Gena; Toffalori, Carlo The torsion-free part of the Ziegler spectrum of the Klein four group. (English) Zbl 1233.03041 J. Pure Appl. Algebra 215, No. 8, 1791-1804 (2011). Reviewer: Frauke Bleher (Iowa City) MSC: 03C60 16D50 16S34 PDF BibTeX XML Cite \textit{G. Puninski} and \textit{C. Toffalori}, J. Pure Appl. Algebra 215, No. 8, 1791--1804 (2011; Zbl 1233.03041) Full Text: DOI OpenURL
Jin, Xiong The graph and range singularity spectra of \(b\)-adic independent cascade functions. (English) Zbl 1213.26007 Adv. Math. 226, No. 6, 4987-5017 (2011). Reviewer: Aleksey A. Dovgoshey (Donetsk) MSC: 26A30 28A78 28A80 PDF BibTeX XML Cite \textit{X. Jin}, Adv. Math. 226, No. 6, 4987--5017 (2011; Zbl 1213.26007) Full Text: DOI arXiv OpenURL
Harikrishnan, K. P.; Misra, R.; Ambika, G.; Amritkar, R. E. Parametric characterisation of a chaotic attractor using the two scale Cantor measure. (English) Zbl 1191.37022 Physica D 239, No. 8, 420-427 (2010). Reviewer: Jan Andres (Olomouc) MSC: 37D45 28A80 PDF BibTeX XML Cite \textit{K. P. Harikrishnan} et al., Physica D 239, No. 8, 420--427 (2010; Zbl 1191.37022) Full Text: DOI arXiv OpenURL
Damanik, David; Gorodetski, Anton The spectrum of the weakly coupled Fibonacci Hamiltonian. (English) Zbl 1169.82009 Electron. Res. Announc. Math. Sci. 16, 23-29 (2009). MSC: 82B44 37A30 82B20 37F35 PDF BibTeX XML Cite \textit{D. Damanik} and \textit{A. Gorodetski}, Electron. Res. Announc. Math. Sci. 16, 23--29 (2009; Zbl 1169.82009) Full Text: DOI arXiv OpenURL
Avila, Artur; Jitomirskaya, Svetlana The Ten Martini problem. (English) Zbl 1166.47031 Ann. Math. (2) 170, No. 1, 303-342 (2009). MSC: 47B37 47A10 PDF BibTeX XML Cite \textit{A. Avila} and \textit{S. Jitomirskaya}, Ann. Math. (2) 170, No. 1, 303--342 (2009; Zbl 1166.47031) Full Text: DOI Link OpenURL
Avila, Artur; Bochi, Jairo; Damanik, David Cantor spectrum for Schrödinger operators with potentials arising from generalized skew-shifts. (English) Zbl 1165.37012 Duke Math. J. 146, No. 2, 253-280 (2009). Reviewer: Gasanbek T. Arazov (Baku) MSC: 37D99 47B36 47B80 81Q10 PDF BibTeX XML Cite \textit{A. Avila} et al., Duke Math. J. 146, No. 2, 253--280 (2009; Zbl 1165.37012) Full Text: DOI arXiv OpenURL
Allaart, P. C. Distribution of the maxima of random Takagi functions. (English) Zbl 1199.28011 Acta Math. Hung. 121, No. 3, 243-275 (2008). Reviewer: Nicolae-Adrian Secelean (Sibiu) MSC: 28A78 28A80 26A27 26A30 PDF BibTeX XML Cite \textit{P. C. Allaart}, Acta Math. Hung. 121, No. 3, 243--275 (2008; Zbl 1199.28011) Full Text: DOI OpenURL
Dai, Meifeng Intersections of homogeneous Cantor sets with their translations. (English) Zbl 1167.28003 Acta Math. Sin., Engl. Ser. 24, No. 8, 1313-1318 (2008). Reviewer: Zu-Guo Yu (Xiangtan) MSC: 28A80 28A78 PDF BibTeX XML Cite \textit{M. Dai}, Acta Math. Sin., Engl. Ser. 24, No. 8, 1313--1318 (2008; Zbl 1167.28003) Full Text: DOI OpenURL
Kesseböhmer, Marc; Stratmann, Bernd O. Fractal analysis for sets of non-differentiability of Minkowski’s question mark function. (English) Zbl 1154.28001 J. Number Theory 128, No. 9, 2663-2686 (2008). Reviewer: Ryszard Pawlak (Łódź) MSC: 28A78 11K55 26A30 PDF BibTeX XML Cite \textit{M. Kesseböhmer} and \textit{B. O. Stratmann}, J. Number Theory 128, No. 9, 2663--2686 (2008; Zbl 1154.28001) Full Text: DOI arXiv OpenURL
Cong, Nguyen Dinh; Fabbri, Roberta On the spectrum of the one-dimensional Schrödinger operator. (English) Zbl 1146.39027 Discrete Contin. Dyn. Syst., Ser. B 9, No. 3-4, 541-554 (2008). MSC: 39A12 34L40 37B55 PDF BibTeX XML Cite \textit{N. D. Cong} and \textit{R. Fabbri}, Discrete Contin. Dyn. Syst., Ser. B 9, No. 3--4, 541--554 (2008; Zbl 1146.39027) Full Text: DOI OpenURL
Cobo, M.; Gutierrez, C.; De Oliveira, C. R. Cantor singular continuous spectrum for operators along interval exchange transformations. (English) Zbl 1134.47020 Proc. Am. Math. Soc. 136, No. 3, 923-930 (2008). Reviewer: Bilender P. Allahverdiev (Isparta) MSC: 47B36 47B37 37B05 37B10 PDF BibTeX XML Cite \textit{M. Cobo} et al., Proc. Am. Math. Soc. 136, No. 3, 923--930 (2008; Zbl 1134.47020) Full Text: DOI arXiv OpenURL
Goldstein, Michael; Schlag, Wilhelm On the formation of gaps in the spectrum of Schrödinger operators with quasi-periodic potentials. (English) Zbl 1208.82027 Gesztesy, Fritz (ed.) et al., Spectral theory and mathematical physics. A festschrift in honor of Barry Simon’s 60th birthday. Ergodic Schrödinger operators, singular spectrum, orthogonal polynomials, and inverse spectral theory. Based on the SimonFest conference, Pasadena, CA, USA, March 27–31, 2006. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4249-2/pt.2; 978-0-8218-3783-2/set). Proceedings of Symposia in Pure Mathematics 76, Pt. 2, 591-611 (2007). MSC: 82B44 60H25 81Q10 PDF BibTeX XML Cite \textit{M. Goldstein} and \textit{W. Schlag}, Proc. Symp. Pure Math. 76, 591--611 (2007; Zbl 1208.82027) OpenURL
Damanik, David Strictly ergodic subshifts and associated operators. (English) Zbl 1130.82017 Gesztesy, Fritz (ed.) et al., Spectral theory and mathematical physics. A festschrift in honor of Barry Simon’s 60th birthday. Ergodic Schrödinger operators, singular spectrum, orthogonal polynomials, and inverse spectral theory. Based on the SimonFest conference, Pasadena, CA, USA, March 27–31, 2006. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4249-2/pt.2; 978-0-8218-3783-2/set). Proceedings of Symposia in Pure Mathematics 76, Pt. 2, 505-538 (2007). Reviewer: Nasir N. Ganikhodjaev (Kuantan) MSC: 82B44 47B80 47B36 81Q10 PDF BibTeX XML Cite \textit{D. Damanik}, Proc. Symp. Pure Math. 76, 505--538 (2007; Zbl 1130.82017) Full Text: arXiv OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Dutkay, Dorin E.; Jorgensen, Palle E. T. Wavelets on fractals. (English) Zbl 1104.42021 Rev. Mat. Iberoam. 22, No. 1, 131-180 (2006). MSC: 42C40 42C30 93E11 28A80 PDF BibTeX XML Cite \textit{D. E. Dutkay} and \textit{P. E. T. Jorgensen}, Rev. Mat. Iberoam. 22, No. 1, 131--180 (2006; Zbl 1104.42021) Full Text: DOI arXiv EuDML OpenURL
Puig, Joaquim A nonperturbative Eliasson’s reducibility theorem. (English) Zbl 1104.47037 Nonlinearity 19, No. 2, 355-376 (2006). Reviewer: Bogdan Sasu (Timişoara) MSC: 47B39 37C99 37E10 37J40 PDF BibTeX XML Cite \textit{J. Puig}, Nonlinearity 19, No. 2, 355--376 (2006; Zbl 1104.47037) Full Text: DOI arXiv OpenURL
Albeverio, Sergio; Nizhnik, Leonid A Schrödinger operator with a \(\delta^{\prime}\)-interaction on a Cantor set and Krein–Feller operators. (English) Zbl 1105.47039 Math. Nachr. 279, No. 5-6, 467-476 (2006). Reviewer: Rostyslav Hryniv (Lviv) MSC: 47E05 47A55 47B25 81Q10 34L40 34B24 47A10 PDF BibTeX XML Cite \textit{S. Albeverio} and \textit{L. Nizhnik}, Math. Nachr. 279, No. 5--6, 467--476 (2006; Zbl 1105.47039) Full Text: DOI OpenURL
Feng, De-Jun; Lau, Ka-Sing; Wang, Xiang-Yang Some exceptional phenomena in multifractal formalism. II. (English) Zbl 1134.28008 Asian J. Math. 9, No. 4, 473-488 (2005). Reviewer: Yimin Xiao (East Lansing) MSC: 28A80 42B10 PDF BibTeX XML Cite \textit{D.-J. Feng} et al., Asian J. Math. 9, No. 4, 473--488 (2005; Zbl 1134.28008) Full Text: DOI OpenURL
Lau, Ka-sing; Wang, Xiangyang Some exceptional phenomena in multifractal formalism. I. (English) Zbl 1116.28010 Asian J. Math. 9, No. 2, 275-294 (2005). Reviewer: Yimin Xiao (East Lansing) MSC: 28A80 42B10 PDF BibTeX XML Cite \textit{K.-s. Lau} and \textit{X. Wang}, Asian J. Math. 9, No. 2, 275--294 (2005; Zbl 1116.28010) Full Text: DOI OpenURL
Baek, In-Soo Simple approach to multifractal spectrum of a self-similar Cantor set. (English) Zbl 1085.28004 Commun. Korean Math. Soc. 20, No. 4, 695-702 (2005). Reviewer: Zu-Guo Yu (Brisbane) MSC: 28A80 28A78 PDF BibTeX XML Cite \textit{I.-S. Baek}, Commun. Korean Math. Soc. 20, No. 4, 695--702 (2005; Zbl 1085.28004) Full Text: DOI OpenURL
Agrafeuil, Cyril On the growth of powers of operators with spectrum contained in Cantor sets. (English) Zbl 1091.47010 Indiana Univ. Math. J. 54, No. 5, 1473-1481 (2005). Reviewer: Mohammad Sal Moslehian (Leeds) MSC: 47A30 46J15 PDF BibTeX XML Cite \textit{C. Agrafeuil}, Indiana Univ. Math. J. 54, No. 5, 1473--1481 (2005; Zbl 1091.47010) Full Text: DOI arXiv OpenURL
Puig i Sadurní, Joaquim A solution of the Ten Martini Problem. (English) Zbl 1077.47031 Eur. Math. Soc. Newsl. 57, 19-20 (2005). Reviewer: Aleksandar Perović (Berlin) MSC: 47B37 47A10 PDF BibTeX XML Cite \textit{J. Puig i Sadurní}, Eur. Math. Soc. Newsl. 57, 19--20 (2005; Zbl 1077.47031) OpenURL
Antoniou, I.; Suchanecki, Z. On computability of decaying and nondecaying states in quantum systems with Cantor spectra. (English) Zbl 1045.81038 Int. J. Theor. Phys. 42, No. 10, 2255-2263 (2003). MSC: 81S10 81V99 26A30 PDF BibTeX XML Cite \textit{I. Antoniou} and \textit{Z. Suchanecki}, Int. J. Theor. Phys. 42, No. 10, 2255--2263 (2003; Zbl 1045.81038) Full Text: DOI OpenURL
Riedel, Norbert The spectrum of a class of almost periodic operators. (English) Zbl 1052.47021 Int. J. Math. Math. Sci. 2003, No. 36, 2277-2301 (2003). Reviewer: Yang Dachun (Beijing) MSC: 47B36 47A10 PDF BibTeX XML Cite \textit{N. Riedel}, Int. J. Math. Math. Sci. 2003, No. 36, 2277--2301 (2003; Zbl 1052.47021) Full Text: DOI EuDML OpenURL
Dai, Meifeng Probability property of the Hausdorff centred measure for uniform Cantor sets. (Chinese. English summary) Zbl 1029.28005 J. Jiangsu Univ., Nat. Sci. 24, No. 2, 78-82 (2003). MSC: 28A80 28A78 PDF BibTeX XML Cite \textit{M. Dai}, J. Jiangsu Univ., Nat. Sci. 24, No. 2, 78--82 (2003; Zbl 1029.28005) OpenURL
Albeverio, Sergio; Koshmanenko, Volodymyr; Torbin, Grygoriy Fine structure of the singular continuous spectrum. (English) Zbl 1024.28003 Methods Funct. Anal. Topol. 9, No. 2, 101-119 (2003). Reviewer: A.N.Kochubei (Kyïv) MSC: 28A12 26A30 28A50 28A80 47B25 47A10 PDF BibTeX XML Cite \textit{S. Albeverio} et al., Methods Funct. Anal. Topol. 9, No. 2, 101--119 (2003; Zbl 1024.28003) OpenURL
Fabbri, Roberta; Johnson, Russell; Pavani, Raffaella On the nature of the spectrum of the quasi-periodic Schrödinger operator. (English) Zbl 1036.34097 Nonlinear Anal., Real World Appl. 3, No. 1, 37-59 (2002). Reviewer: Hubert Kalf (München) MSC: 34L40 81Q10 34L05 PDF BibTeX XML Cite \textit{R. Fabbri} et al., Nonlinear Anal., Real World Appl. 3, No. 1, 37--59 (2002; Zbl 1036.34097) Full Text: DOI OpenURL
Adamczewski, B.; Damanik, D. Linearly recurrent circle map subshifts and an application to Schrödinger operators. (English) Zbl 1023.47019 Ann. Henri Poincaré 3, No. 5, 1019-1047 (2002). Reviewer: Hyeona Lim (Mississippi) MSC: 47B39 39A70 37E10 37B20 PDF BibTeX XML Cite \textit{B. Adamczewski} and \textit{D. Damanik}, Ann. Henri Poincaré 3, No. 5, 1019--1047 (2002; Zbl 1023.47019) Full Text: DOI OpenURL
Hare, Kathryn E.; Yazdani, Saroosh Quasi self-similarity and multifractal analysis of Cantor measures. (English) Zbl 1035.28010 Real Anal. Exch. 27(2001-2002), No. 1, 287-307 (2002). Reviewer: In-Soo Baek (Pusan) MSC: 28A80 28A78 PDF BibTeX XML Cite \textit{K. E. Hare} and \textit{S. Yazdani}, Real Anal. Exch. 27, No. 1, 287--307 (2002; Zbl 1035.28010) OpenURL
Lenz, Daniel Singular spectrum of Lebesgue measure zero for one-dimensional quasicrystals. (English) Zbl 1065.47035 Commun. Math. Phys. 227, No. 1, 119-130 (2002). MSC: 47B39 39A70 47B80 47N55 81Q10 82B44 PDF BibTeX XML Cite \textit{D. Lenz}, Commun. Math. Phys. 227, No. 1, 119--130 (2002; Zbl 1065.47035) Full Text: DOI arXiv OpenURL
Kopidakis, G.; Aubry, S. Intraband discrete breathers in disordered nonlinear systems. II: Localization. (English) Zbl 0974.70018 Physica D 139, No. 3-4, 247-275 (2000). MSC: 70K99 PDF BibTeX XML Cite \textit{G. Kopidakis} and \textit{S. Aubry}, Physica D 139, No. 3--4, 247--275 (2000; Zbl 0974.70018) Full Text: DOI OpenURL
Shapiro, Leonid B. On Shapirovskij’s theorem. (English) Zbl 0973.54005 Topology Appl. 107, No. 1-2, 161-167 (2000). MSC: 54A25 54B10 54B35 PDF BibTeX XML Cite \textit{L. B. Shapiro}, Topology Appl. 107, No. 1--2, 161--167 (2000; Zbl 0973.54005) Full Text: DOI OpenURL
Puninski, Gennadi Cantor-Bendixson rank of the Ziegler spectrum over a commutative valuation domain. (English) Zbl 0961.03036 J. Symb. Log. 64, No. 4, 1512-1518 (1999). Reviewer: M.Prest (Manchester) MSC: 03C60 13A18 16P60 PDF BibTeX XML Cite \textit{G. Puninski}, J. Symb. Log. 64, No. 4, 1512--1518 (1999; Zbl 0961.03036) Full Text: DOI OpenURL
Antoniou, I.; Sadovnichii, V. A.; Shkarin, S. A. New extended spectral decompositions of the Renyi map. (English) Zbl 0935.37010 Phys. Lett., A 258, No. 4-6, 237-243 (1999). MSC: 37D50 37A30 37E05 47A10 37A05 PDF BibTeX XML Cite \textit{I. Antoniou} et al., Phys. Lett., A 258, No. 4--6, 237--243 (1999; Zbl 0935.37010) Full Text: DOI OpenURL
Moreira, Carlos G. Cantor sets, dynamics and arithmetic. (Conjuntos de Cantor, dinâmica e aritmética.) (Portuguese) Zbl 0965.11032 22\(^o\) Colóquio Brasileiro de Matemática. Rio de Janeiro: Instituto de Matemática Pura e Aplicada (IMPA). iv, 77 p. (1999). Reviewer: Victor Jiménez López (Murcia) MSC: 11J06 28A78 37-01 28-01 11-01 11K60 PDF BibTeX XML Cite \textit{C. G. Moreira}, Conjuntos de Cantor, dinâmica e aritmética (Portuguese). Rio de Janeiro: Instituto de Matemática Pura e Aplicada (IMPA) (1999; Zbl 0965.11032) OpenURL
Arazy, Jonathan; Zelenko, Leonid Finite-dimensional perturbations of selfadjoint operators. (English) Zbl 0959.47007 Integral Equations Oper. Theory 34, No. 2, 127-164 (1999). Reviewer: Boris V.Loginov (Ul’yanovsk) MSC: 47A55 47A11 47B25 PDF BibTeX XML Cite \textit{J. Arazy} and \textit{L. Zelenko}, Integral Equations Oper. Theory 34, No. 2, 127--164 (1999; Zbl 0959.47007) Full Text: DOI OpenURL
Ben Slimane, M. Multifractal formalism for self-similar functions under the action of nonlinear dynamical systems. (English) Zbl 0928.28002 Constructive Approximation 15, No. 2, 209-240 (1999). Reviewer: Yimin Xiao (Salt Lake City) MSC: 28A80 26A30 26A18 28A78 42C40 54H20 37B30 PDF BibTeX XML Cite \textit{M. Ben Slimane}, Constr. Approx. 15, No. 2, 209--240 (1999; Zbl 0928.28002) Full Text: DOI OpenURL
Pratsevityj, M. V. Fractal properties of distributions of Cantor-type random variables whose \(Q\)-digits form a homogeneous Markov chain. (English. Ukrainian original) Zbl 0941.60083 Theory Probab. Math. Stat. 58, 151-160 (1999); translation from Teor. Jmovirn. Mat. Stat. 58, 139-148 (1998). Reviewer: Yu.V.Kozachenko (Kyïv) MSC: 60J10 60E05 PDF BibTeX XML Cite \textit{M. V. Pratsevityj}, Teor. Ĭmovirn. Mat. Stat. 58, 139--148 (1998; Zbl 0941.60083); translation from Teor. Jmovirn. Mat. Stat. 58, 139--148 (1998) OpenURL
Baptista, Murilo S.; Caldas, Iberê L. Phase-locking and bifurcations of the sinusoidally-driven double scroll circuit. (English) Zbl 0918.70015 Nonlinear Dyn. 17, No. 2, 119-139 (1998). MSC: 70K50 37G99 37D45 PDF BibTeX XML Cite \textit{M. S. Baptista} and \textit{I. L. Caldas}, Nonlinear Dyn. 17, No. 2, 119--139 (1998; Zbl 0918.70015) Full Text: DOI OpenURL
Geyler, V. A.; Pavlov, B. S.; Popov, I. Yu. One-particle spectral problem for superlattice with a constant magnetic field. (English) Zbl 0908.47063 Atti Semin. Mat. Fis. Univ. Modena 46, No. 1, 79-124 (1998). MSC: 47N50 81T25 PDF BibTeX XML Cite \textit{V. A. Geyler} et al., Atti Semin. Mat. Fis. Univ. Modena 46, No. 1, 79--124 (1998; Zbl 0908.47063) OpenURL
Arneodo, A.; Bacry, E.; Jaffard, S.; Muzy, J. F. Oscillating singularities on Cantor sets: A grand-canonical multifractal formalism. (English) Zbl 0917.28007 J. Stat. Phys. 87, No. 1-2, 179-209 (1997). MSC: 28A80 42C15 PDF BibTeX XML Cite \textit{A. Arneodo} et al., J. Stat. Phys. 87, No. 1--2, 179--209 (1997; Zbl 0917.28007) Full Text: DOI OpenURL
Boutet de Monvel, Anne; Egorova, Ira On solutions of nonlinear Schrödinger equations with Cantor-type spectrum. (English) Zbl 0898.35095 J. Anal. Math. 72, 1-20 (1997). Reviewer: A.Tsutsumi (Osaka) MSC: 35Q55 34C27 PDF BibTeX XML Cite \textit{A. Boutet de Monvel} and \textit{I. Egorova}, J. Anal. Math. 72, 1--20 (1997; Zbl 0898.35095) Full Text: DOI OpenURL
Hosokawa, I. Theory of scale-similar intermittent measures. (English) Zbl 0893.76034 Proc. R. Soc. Lond., Ser. A 453, No. 1959, 691-710 (1997). MSC: 76F99 28A80 PDF BibTeX XML Cite \textit{I. Hosokawa}, Proc. R. Soc. Lond., Ser. A 453, No. 1959, 691--710 (1997; Zbl 0893.76034) Full Text: DOI OpenURL
Hensley, Douglas A polynomial time algorithm for the Hausdorff dimension of continued fraction Cantor sets. (English) Zbl 0858.11039 J. Number Theory 58, No. 1, 9-45 (1996). Reviewer: M.M.Dodson (Heslington) MSC: 11K50 11Y99 47A25 PDF BibTeX XML Cite \textit{D. Hensley}, J. Number Theory 58, No. 1, 9--45 (1996; Zbl 0858.11039) Full Text: DOI OpenURL
Esterle, J.; Zarrabi, M.; Rajoelina, M. On contractions with spectrum contained in the Cantor set. (English) Zbl 0830.47001 Math. Proc. Camb. Philos. Soc. 117, No. 2, 339-343 (1995). MSC: 47A10 PDF BibTeX XML Cite \textit{J. Esterle} et al., Math. Proc. Camb. Philos. Soc. 117, No. 2, 339--343 (1995; Zbl 0830.47001) Full Text: DOI OpenURL
Pratsevytyj, N. V.; Malatsion, A. S. Fractal properties of the distribution of a sum of two independent Cantor random variables. (English) Zbl 1029.60501 Àrato, M. (ed.) et al., New trends in probability and mathematical statistics. Proceedings of the second Ukrainian-Hungarian conference, Mukachevo, Ukraine, September 25-October 1, 1992. Kiev: TViMS. Teor. Veroyatn. Mat. Stat./Probab. Theory Math. Stat. 2, 250-254 (1995). Reviewer: Yu.V.Kozachenko (Kyïv) MSC: 60E05 60E15 PDF BibTeX XML Cite \textit{N. V. Pratsevytyj} and \textit{A. S. Malatsion}, in: New trends in probability and mathematical statistics. Proceedings of the second Ukrainian-Hungarian conference, Mukachevo, Ukraine, September 25--October 1, 1992. Kiev: TViMS. 250--254 (1995; Zbl 1029.60501) OpenURL
Sodin, M. L.; Yuditskij, P. M. Almost periodic Sturm-Liouville operators with Cantor homogeneous spectrum and pseudoextendible Weyl functions. (English. Russian original) Zbl 0868.34063 Russ. Acad. Sci., Dokl., Math. 50, No. 3, 512-515 (1995); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 339, No. 6, 736-738 (1994). Reviewer: Y.Kivshar (Canberra) MSC: 34L40 47E05 34L05 PDF BibTeX XML Cite \textit{M. L. Sodin} and \textit{P. M. Yuditskij}, Russ. Acad. Sci., Dokl., Math. 50, No. 3, 1 (1994; Zbl 0868.34063); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 339, No. 6, 736--738 (1994) OpenURL
Egorova, I. E. The Cauchy problem for the KdV equation with almost periodic initial data whose spectrum is nowhere dense. (English) Zbl 0834.35113 Marchenko, V. A. (ed.), Spectral operator theory and related topics. Collection of papers. Providence, RI: American Mathematical Society. Adv. Sov. Math. 19, 181-208 (1994). Reviewer: L.Vazquez (Madrid) MSC: 35Q53 35B15 PDF BibTeX XML Cite \textit{I. E. Egorova}, Adv. Sov. Math. 19, 181--208 (1994; Zbl 0834.35113) OpenURL
Jenkins, Paul; Daly, Mark V.; Heffernan, Daniel M. \(f(\alpha)\) spectrum of pruned baker’s map. (English) Zbl 0799.58048 Z. Naturforsch. A 48, No. 12, 1166-1172 (1993). MSC: 37D45 37A30 PDF BibTeX XML Cite \textit{P. Jenkins} et al., Z. Nat.forsch., A: Phys. Sci. 48, No. 12, 1166--1172 (1993; Zbl 0799.58048) Full Text: DOI OpenURL
Riedel, Norbert Absence of Cantor spectrum for a class of Schrödinger operators. (English) Zbl 0796.47029 Bull. Am. Math. Soc., New Ser. 29, No. 1, 85-87 (1993). Reviewer: B.M.Agrawal (Lashkar-Gwalior) MSC: 47C15 47B39 47B38 31A15 PDF BibTeX XML Cite \textit{N. Riedel}, Bull. Am. Math. Soc., New Ser. 29, No. 1, 85--87 (1993; Zbl 0796.47029) Full Text: DOI arXiv OpenURL
Kohmoto, Mahito Dynamical system related to quasiperiodic Schrödinger equations in one dimension. (English) Zbl 0892.58025 J. Stat. Phys. 66, No. 3-4, 791-796 (1992). MSC: 37E99 39A10 PDF BibTeX XML Cite \textit{M. Kohmoto}, J. Stat. Phys. 66, No. 3--4, 791--796 (1992; Zbl 0892.58025) Full Text: DOI OpenURL
Johnson, Russell Cantor spectrum for the quasi-periodic Schrödinger equation. (English) Zbl 0734.34074 J. Differ. Equations 91, No. 1, 88-110 (1991). Reviewer: N.D.Sengupta (Bombay) MSC: 34L40 34C27 PDF BibTeX XML Cite \textit{R. Johnson}, J. Differ. Equations 91, No. 1, 88--110 (1991; Zbl 0734.34074) Full Text: DOI OpenURL
Choi, Man-Duen; Elliott, George A. Density of the self-adjoint elements with finite spectrum in an irrational rotation \(C^*\)-algebra. (English) Zbl 0743.46070 Math. Scand. 67, No. 1, 73-86 (1990). MSC: 46L55 PDF BibTeX XML Cite \textit{M.-D. Choi} and \textit{G. A. Elliott}, Math. Scand. 67, No. 1, 73--86 (1990; Zbl 0743.46070) Full Text: DOI EuDML OpenURL
Riedel, Norbert On spectral properties of almost Mathieu operators and connections with irrational rotation \(C^*\)-algebras. (English) Zbl 0745.46064 Rocky Mt. J. Math. 20, No. 2, 539-548 (1990). MSC: 46L55 PDF BibTeX XML Cite \textit{N. Riedel}, Rocky Mt. J. Math. 20, No. 2, 539--548 (1990; Zbl 0745.46064) Full Text: DOI OpenURL
Bellissard, J. Spectral properties of Schrödinger’s operator with a Thue-Morse potential. (English) Zbl 0719.58038 Number theory and physics, Proc. Winter Sch., Les Houches/Fr. 1989, Springer Proc. Phys. 47, 140-150 (1990). Reviewer: E.D.Belokolos (Kiev) MSC: 58J50 35J10 11B85 35P99 PDF BibTeX XML OpenURL
Choi, Man-Duen; Elliott, George A.; Yui, Noriko Gauss polynomials and the rotation algebra. (English) Zbl 0665.46051 Invent. Math. 99, No. 2, 225-246 (1990). Reviewer: G.A.Elliott MSC: 46L55 46L80 PDF BibTeX XML Cite \textit{M.-D. Choi} et al., Invent. Math. 99, No. 2, 225--246 (1990; Zbl 0665.46051) Full Text: DOI EuDML OpenURL
Herzog, Ivo; Rothmaler, Philipp Modules with regular generic types. (English) Zbl 0797.03037 Nesin, Ali (ed.) et al., The model theory of groups. Notre Dame, IN: University of Notre Dame Press. Notre Dame Math. Lect. 11, 138-176 (1989). Reviewer: M.Prest (Manchester) MSC: 03C60 03C45 16B70 PDF BibTeX XML Cite \textit{I. Herzog} and \textit{P. Rothmaler}, in: The model theory of groups. Notre Dame, IN: University of Notre Dame Press. 138--176 (1989; Zbl 0797.03037) OpenURL
Cusick, Thomas W.; Flahive, Mary E. The Markoff and Lagrange spectra. (English) Zbl 0685.10023 Mathematical Surveys and Monographs, 30. Providence, RI: American Mathematical Society (AMS). ix, 97 p. $ 42.00 (1989). Reviewer: Gerhard Ramharter (Wien) MSC: 11J06 11-02 11J70 11H50 11K50 PDF BibTeX XML Cite \textit{T. W. Cusick} and \textit{M. E. Flahive}, The Markoff and Lagrange spectra. Providence, RI: American Mathematical Society (1989; Zbl 0685.10023) OpenURL
Bellissard, J.; Iochum, B.; Scoppola, E.; Testard, D. Spectral properties of one dimensional quasi-crystals. (English) Zbl 0825.58010 Commun. Math. Phys. 125, No. 3, 527-543 (1989). MSC: 37E99 37A30 82D25 PDF BibTeX XML Cite \textit{J. Bellissard} et al., Commun. Math. Phys. 125, No. 3, 527--543 (1989; Zbl 0825.58010) Full Text: DOI OpenURL
Sütö, András Singular continuous spectrum on a Cantor set of zero Lebesgue measure for the Fibonacci Hamiltonian. (English) Zbl 0712.58046 J. Stat. Phys. 56, No. 3-4, 525-531 (1989). MSC: 37A30 35J10 35P99 PDF BibTeX XML Cite \textit{A. Sütö}, J. Stat. Phys. 56, No. 3--4, 525--531 (1989; Zbl 0712.58046) Full Text: DOI OpenURL