de Oliveira, César R.; Pigossi, Mariane Persistence of point spectrum for perturbations of one-dimensional operators with discrete spectra. (English) Zbl 1521.47057 Miranda, Pablo (ed.) et al., Spectral theory and mathematical physics. Proceedings of the conference, STMP 2018, Santiago, Chile, December 3–7, 2018. Cham: Springer. Lat. Am. Math. Ser., 125-151 (2020). MSC: 47B39 81Q15 47A10 PDF BibTeX XML Cite \textit{C. R. de Oliveira} and \textit{M. Pigossi}, in: Spectral theory and mathematical physics. Proceedings of the conference, STMP 2018, Santiago, Chile, December 3--7, 2018. Cham: Springer. 125--151 (2020; Zbl 1521.47057) Full Text: DOI
Mercat, Paul; Akiyama, Shigeki Yet another characterization of the Pisot substitution conjecture. (English) Zbl 1458.37015 Akiyama, Shigeki (ed.) et al., Substitution and tiling dynamics: introduction to self-inducing structures. Lecture notes from the research school on tiling dynamical systems, CIRM Jean-Morlet Chair, Marseille, France, Fall 2017. Cham: Springer. Lect. Notes Math. 2273, 397-448 (2020). Reviewer: Hasan Akin (Gaziantep) MSC: 37B10 37B15 37B51 PDF BibTeX XML Cite \textit{P. Mercat} and \textit{S. Akiyama}, Lect. Notes Math. 2273, 397--448 (2020; Zbl 1458.37015) Full Text: DOI arXiv
de Oliveira, César R.; Pigossi, Mariane Proof of dynamical localization for perturbations of discrete 1D Schrödinger operators with uniform electric fields. (English) Zbl 1486.47065 Math. Z. 291, No. 3-4, 1525-1541 (2019). MSC: 47B39 47N50 81Q15 PDF BibTeX XML Cite \textit{C. R. de Oliveira} and \textit{M. Pigossi}, Math. Z. 291, No. 3--4, 1525--1541 (2019; Zbl 1486.47065) Full Text: DOI
de Oliveira, César R.; Pigossi, Mariane Point spectrum and SULE for time-periodic perturbations of discrete 1D Schrödinger operators with electric fields. (English) Zbl 06969157 J. Stat. Phys. 173, No. 1, 140-162 (2018). MSC: 47B39 47N50 81Q15 PDF BibTeX XML Cite \textit{C. R. de Oliveira} and \textit{M. Pigossi}, J. Stat. Phys. 173, No. 1, 140--162 (2018; Zbl 06969157) Full Text: DOI
Lee, Jeong-Yup Pure discrete spectrum on Toeplitz arrays. (English) Zbl 1397.37019 J. Korean Soc. Math. Educ., Ser. B, Pure Appl. Math. 25, No. 2, 127-133 (2018). MSC: 37B50 52C23 37B10 PDF BibTeX XML Cite \textit{J.-Y. Lee}, J. Korean Soc. Math. Educ., Ser. B, Pure Appl. Math. 25, No. 2, 127--133 (2018; Zbl 1397.37019) Full Text: DOI
Arnesen, Kristin Krogh; Laking, Rosanna; Pauksztello, David; Prest, Mike The Ziegler spectrum for derived-discrete algebras. (English) Zbl 1406.16007 Adv. Math. 319, 653-698 (2017). MSC: 16G10 18E30 18E35 PDF BibTeX XML Cite \textit{K. K. Arnesen} et al., Adv. Math. 319, 653--698 (2017; Zbl 1406.16007) Full Text: DOI arXiv
Heunen, Chris; Reyes, Manuel L. Discretization of \(C^*\)-algebras. (English) Zbl 1389.46094 J. Oper. Theory 77, No. 1, 19-37 (2017). Reviewer: Vesselin Drensky (Sofia) MSC: 46L85 46M15 46L30 PDF BibTeX XML Cite \textit{C. Heunen} and \textit{M. L. Reyes}, J. Oper. Theory 77, No. 1, 19--37 (2017; Zbl 1389.46094) Full Text: DOI arXiv
Berthé, Valérie \(S\)-adic expansions related to continued fractions. (English) Zbl 1372.37024 RIMS Kôkyûroku Bessatsu B58, 61-84 (2016). MSC: 37B10 37A45 11K50 11A55 68R15 PDF BibTeX XML Cite \textit{V. Berthé}, RIMS Kôkyûroku Bessatsu B58, 61--84 (2016; Zbl 1372.37024)
Berthé, Valérie; Bourdon, Jérémie; Jolivet, Timo; Siegel, Anne A combinatorial approach to products of Pisot substitutions. (English) Zbl 1378.37036 Ergodic Theory Dyn. Syst. 36, No. 6, 1757-1794 (2016). MSC: 37B50 37B10 28A80 37A45 11K16 52C22 PDF BibTeX XML Cite \textit{V. Berthé} et al., Ergodic Theory Dyn. Syst. 36, No. 6, 1757--1794 (2016; Zbl 1378.37036) Full Text: DOI arXiv
Akiyama, Shigeki Strong coincidence and overlap coincidence. (English) Zbl 1351.52025 Discrete Contin. Dyn. Syst. 36, No. 10, 5223-5230 (2016). MSC: 52C23 37B50 11K16 PDF BibTeX XML Cite \textit{S. Akiyama}, Discrete Contin. Dyn. Syst. 36, No. 10, 5223--5230 (2016; Zbl 1351.52025) Full Text: DOI arXiv
Sun, Huaqing; Shi, Yuming Spectral properties of singular discrete linear Hamiltonian systems. (English) Zbl 1319.39011 J. Difference Equ. Appl. 20, No. 3, 379-405 (2014). MSC: 39A70 34B20 39A10 PDF BibTeX XML Cite \textit{H. Sun} and \textit{Y. Shi}, J. Difference Equ. Appl. 20, No. 3, 379--405 (2014; Zbl 1319.39011) Full Text: DOI
Akiyama, Shigeki; Gähler, Franz; Lee, Jeong-Yup Determining pure discrete spectrum for some self-affine tilings. (English) Zbl 1400.37019 Discrete Math. Theor. Comput. Sci. 16, No. 3, 305-316 (2014). MSC: 37B50 28A80 52C20 PDF BibTeX XML Cite \textit{S. Akiyama} et al., Discrete Math. Theor. Comput. Sci. 16, No. 3, 305--316 (2014; Zbl 1400.37019) Full Text: arXiv Link
Lee, Jeong-Yup; Moody, Robert V. Taylor-Socolar hexagonal tilings as model sets. (English) Zbl 1351.52020 Symmetry 5, No. 1, 1-46 (2013). MSC: 52C20 52C23 52C05 PDF BibTeX XML Cite \textit{J.-Y. Lee} and \textit{R. V. Moody}, Symmetry 5, No. 1, 1--46 (2013; Zbl 1351.52020) Full Text: DOI arXiv
Barge, Marcy; Štimac, Sonja; Williams, R. F. Pure discrete spectrum in substitution tiling spaces. (English) Zbl 1291.37024 Discrete Contin. Dyn. Syst. 33, No. 2, 579-597 (2013). Reviewer: Geoffrey R. Goodson (Towson) MSC: 37B50 52C22 52C23 37B05 11R06 PDF BibTeX XML Cite \textit{M. Barge} et al., Discrete Contin. Dyn. Syst. 33, No. 2, 579--597 (2013; Zbl 1291.37024) Full Text: DOI arXiv
Barge, Marcy; Bruin, Henk; Jones, Leslie; Sadun, Lorenzo Homological Pisot substitutions and exact regularity. (English) Zbl 1257.37010 Isr. J. Math. 188, 281-300 (2012). Reviewer: Thomas B. Ward (Durham) MSC: 37A45 37B50 37A30 PDF BibTeX XML Cite \textit{M. Barge} et al., Isr. J. Math. 188, 281--300 (2012; Zbl 1257.37010) Full Text: DOI arXiv Link
Akiyama, Shigeki; Lee, Jeong-Yup Algorithm for determining pure pointedness of self-affine tilings. (English) Zbl 1219.37013 Adv. Math. 226, No. 4, 2855-2883 (2011). Reviewer: Nicolae-Adrian Secelean (Sibiu) MSC: 37B50 28A80 52C23 PDF BibTeX XML Cite \textit{S. Akiyama} and \textit{J.-Y. Lee}, Adv. Math. 226, No. 4, 2855--2883 (2011; Zbl 1219.37013) Full Text: DOI arXiv
Lee, Jeong-Yup Substitution Delone sets with pure point spectrum are inter-model sets. (English) Zbl 1132.52022 J. Geom. Phys. 57, No. 11, 2263-2285 (2007). MSC: 52C23 37B50 PDF BibTeX XML Cite \textit{J.-Y. Lee}, J. Geom. Phys. 57, No. 11, 2263--2285 (2007; Zbl 1132.52022) Full Text: DOI arXiv
Baker, Veronica; Barge, Marcy; Kwapisz, Jaroslaw Geometric realization and coincidence for reducible non-unimodular Pisot tiling spaces with an application to \(\beta\)-shifts. (English) Zbl 1138.37008 Ann. Inst. Fourier 56, No. 7, 2213-2248 (2006). MSC: 37B50 11R06 37A45 28D05 PDF BibTeX XML Cite \textit{V. Baker} et al., Ann. Inst. Fourier 56, No. 7, 2213--2248 (2006; Zbl 1138.37008) Full Text: DOI Numdam EuDML
Barge, Marcy; Kwapisz, Jaroslaw Geometric theory of unimodular Pisot substitutions. (English) Zbl 1152.37011 Am. J. Math. 128, No. 5, 1219-1282 (2006). Reviewer: Takao Komatsu (Hirosaki) MSC: 37B50 11R06 37B10 37A45 PDF BibTeX XML Cite \textit{M. Barge} and \textit{J. Kwapisz}, Am. J. Math. 128, No. 5, 1219--1282 (2006; Zbl 1152.37011) Full Text: DOI
Martensen, Brian F. Generalized balanced pair algorithm. (English) Zbl 1077.37018 Topol. Proc. 28, No. 1, 163-178 (2004). MSC: 37B50 37A30 37B10 52C23 PDF BibTeX XML Cite \textit{B. F. Martensen}, Topol. Proc. 28, No. 1, 163--178 (2004; Zbl 1077.37018) Full Text: arXiv
Siegel, Anne Pure discrete spectrum dynamical system and periodic tiling associated with a substitution. (English) Zbl 1083.37009 Ann. Inst. Fourier 54, No. 2, 341-381 (2004). Reviewer: Laurent Vuillon (Le Bourget du Lac) MSC: 37B10 52C22 47A35 28A80 PDF BibTeX XML Cite \textit{A. Siegel}, Ann. Inst. Fourier 54, No. 2, 341--381 (2004; Zbl 1083.37009) Full Text: DOI Numdam EuDML
Qi, Jiangang; Chen, Shaozhu Lower bound for the spectrum and the presence of pure point spectrum of a singular discrete Hamiltonian system. (English) Zbl 1058.39016 J. Math. Anal. Appl. 295, No. 2, 539-556 (2004). Reviewer: Victor I. Tkachenko (Kyïv) MSC: 39A12 39A70 47B39 PDF BibTeX XML Cite \textit{J. Qi} and \textit{S. Chen}, J. Math. Anal. Appl. 295, No. 2, 539--556 (2004; Zbl 1058.39016) Full Text: DOI
Barge, Marcy; Diamond, Beverly Coincidence for substitutions of Pisot type. (English) Zbl 1028.37008 Bull. Soc. Math. Fr. 130, No. 4, 619-626 (2002). Reviewer: Franco Vivaldi (London) MSC: 37B10 PDF BibTeX XML Cite \textit{M. Barge} and \textit{B. Diamond}, Bull. Soc. Math. Fr. 130, No. 4, 619--626 (2002; Zbl 1028.37008) Full Text: DOI
Sirvent, V. F.; Solomyak, B. Pure discrete spectrum for one-dimensional substitution systems of Pisot type. (English) Zbl 1038.37008 Can. Math. Bull. 45, No. 4, 697-710 (2002). Reviewer: Tomasz Downarowicz (Wrocław) MSC: 37A30 52C23 37B10 PDF BibTeX XML Cite \textit{V. F. Sirvent} and \textit{B. Solomyak}, Can. Math. Bull. 45, No. 4, 697--710 (2002; Zbl 1038.37008) Full Text: DOI
Lee, J.-Y.; Moody, R. V.; Solomyak, B. Pure point dynamical and diffraction spectra. (English) Zbl 1025.37004 Ann. Henri Poincaré 3, No. 5, 1003-1018 (2002). Reviewer: C.Ganatsiou (Volos) MSC: 37A30 37C40 82D25 52C23 PDF BibTeX XML Cite \textit{J. Y. Lee} et al., Ann. Henri Poincaré 3, No. 5, 1003--1018 (2002; Zbl 1025.37004) Full Text: DOI arXiv
Janas, Jan; Naboko, Serguei Spectral analysis of selfadjoint Jacobi matrices with periodically modulated entries. (English) Zbl 1011.47024 J. Funct. Anal. 191, No. 2, 318-342 (2002). Reviewer: W.D.Evans (Cardiff) MSC: 47B36 47A10 PDF BibTeX XML Cite \textit{J. Janas} and \textit{S. Naboko}, J. Funct. Anal. 191, No. 2, 318--342 (2002; Zbl 1011.47024) Full Text: DOI
Perov, A. I. Sufficient conditions for the stability of linear systems with constant coefficients in critical cases. (English. Russian original) Zbl 0928.93052 Differ. Equations 33, No. 10, 1356-1363 (1997); translation from Differ. Uravn. 33, No. 10, 1349-1357 (1997). Reviewer: V.Chernyatin (Szczecin) MSC: 93D20 39A12 PDF BibTeX XML Cite \textit{A. I. Perov}, Differ. Equations 33, No. 10, 1356--1363 (1997; Zbl 0928.93052); translation from Differ. Uravn. 33, No. 10, 1349--1357 (1997)
Mandelshtam, V. A.; Zhitomirskaya, S. Ya. 1\(D\)-quasiperiodic operators. Latent symmetries. (English) Zbl 0735.34071 Commun. Math. Phys. 139, No. 3, 589-604 (1991). MSC: 34L40 34L05 34C27 47E05 PDF BibTeX XML Cite \textit{V. A. Mandelshtam} and \textit{S. Ya. Zhitomirskaya}, Commun. Math. Phys. 139, No. 3, 589--604 (1991; Zbl 0735.34071) Full Text: DOI
Kirsch, W.; Molchanov, S. A.; Pastur, L. A. One-dimensional Schrödinger operator with unbounded potential: The pure point spectrum. (English. Russian original) Zbl 0747.47023 Funct. Anal. Appl. 24, No. 3, 176-186 (1990); translation from Funkts. Anal. Prilozh. 24, No. 3, 14-25 (1990). Reviewer: A.Kufner (Praha) MSC: 47B39 46E39 39A12 PDF BibTeX XML Cite \textit{W. Kirsch} et al., Funct. Anal. Appl. 24, No. 3, 176--186 (1990; Zbl 0747.47023); translation from Funkts. Anal. Prilozh. 24, No. 3, 14--25 (1990) Full Text: DOI
Yang, Mingzhu; Yao, Aixiang On the spectrum of the transport operator for a bounded convex body. (English) Zbl 0731.47003 Acta Math. Sci. 10, No. 4, 402-411 (1990). MSC: 47A10 82C70 47N20 47F05 52C07 PDF BibTeX XML Cite \textit{M. Yang} and \textit{A. Yao}, Acta Math. Sci. 10, No. 4, 402--411 (1990; Zbl 0731.47003)
Packer, Judith A. Point spectrum of ergodic Abelian group actions and the corresponding group-measure factors. (English) Zbl 0629.46060 Pac. J. Math. 119, 381-405 (1985). Reviewer: G.A.Elliott MSC: 46L55 46L35 PDF BibTeX XML Cite \textit{J. A. Packer}, Pac. J. Math. 119, 381--405 (1985; Zbl 0629.46060) Full Text: DOI
Pöschel, Jürgen Examples of discrete Schrödinger operators with pure point spectrum. (English) Zbl 0532.35070 Commun. Math. Phys. 88, 447-463 (1983). MSC: 35Q99 39A70 35P05 47A10 81Q15 PDF BibTeX XML Cite \textit{J. Pöschel}, Commun. Math. Phys. 88, 447--463 (1983; Zbl 0532.35070) Full Text: DOI
Craig, Walter Pure point spectrum for discrete almost periodic Schrödinger operators. (English) Zbl 0525.35076 Commun. Math. Phys. 88, 113-131 (1983). MSC: 35Q99 35J10 35P05 PDF BibTeX XML Cite \textit{W. Craig}, Commun. Math. Phys. 88, 113--131 (1983; Zbl 0525.35076) Full Text: DOI