Damanik, David (ed.); Keller, Matthias (ed.); Nagnibeda, Tatiana (ed.); Pogorzelski, Felix (ed.) Geometry, dynamics and spectrum of operators on discrete spaces. Abstracts from the workshop held January 3–9, 2021 (online meeting). (English) Zbl 1487.00037 Oberwolfach Rep. 18, No. 1, 33-85 (2021). MSC: 00B05 00B25 47-06 47A10 47B80 47A35 05C50 82B44 52C23 46L10 PDF BibTeX XML Cite \textit{D. Damanik} (ed.) et al., Oberwolfach Rep. 18, No. 1, 33--85 (2021; Zbl 1487.00037) Full Text: DOI OpenURL
Rojas-Molina, C. Random Schrödinger operators and Anderson localization in aperiodic media. (English) Zbl 1471.82006 Rev. Math. Phys. 33, No. 1, Article ID 2060010, 11 p. (2021). MSC: 82B44 47B80 60H25 81Q10 PDF BibTeX XML Cite \textit{C. Rojas-Molina}, Rev. Math. Phys. 33, No. 1, Article ID 2060010, 11 p. (2021; Zbl 1471.82006) Full Text: DOI arXiv OpenURL
Eichinger, Benjamin; Gohlke, Philipp Spectral properties of Schrödinger operators associated with almost minimal substitution systems. (English) Zbl 1462.81087 Ann. Henri Poincaré 22, No. 5, 1377-1427 (2021). MSC: 81Q10 37B10 52C23 PDF BibTeX XML Cite \textit{B. Eichinger} and \textit{P. Gohlke}, Ann. Henri Poincaré 22, No. 5, 1377--1427 (2021; Zbl 1462.81087) Full Text: DOI arXiv OpenURL
Beckus, Siegfried; Bellissard, Jean; De Nittis, Giuseppe Spectral continuity for aperiodic quantum systems: applications of a folklore theorem. (English) Zbl 1472.82015 J. Math. Phys. 61, No. 12, 123505, 19 p. (2020). Reviewer: Maximilian Pechmann (Knoxville) MSC: 82B44 82B20 35Q55 PDF BibTeX XML Cite \textit{S. Beckus} et al., J. Math. Phys. 61, No. 12, 123505, 19 p. (2020; Zbl 1472.82015) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{D. Damanik} et al., Ann. Henri Poincaré 21, No. 7, 2167--2191 (2020; Zbl 1442.05124) Full Text: DOI arXiv OpenURL
Benameur, Moulay Tahar; Mathai, Varghese Proof of the magnetic gap-labelling conjecture for principal solenoidal tori. (English) Zbl 1429.58039 J. Funct. Anal. 278, No. 3, Article ID 108323, 9 p. (2020). MSC: 58J50 46L55 46L80 52C23 19K14 81V70 PDF BibTeX XML Cite \textit{M. T. Benameur} and \textit{V. Mathai}, J. Funct. Anal. 278, No. 3, Article ID 108323, 9 p. (2020; Zbl 1429.58039) Full Text: DOI arXiv OpenURL
de Oliveira, Weslley Florentino; Pellegrino, Giancarlo Queiroz Chaos-based potentials in the one-dimensional tight-binding model probed by the inverse participation ratio. (English) Zbl 1403.82007 Comput. Appl. Math. 37, No. 4, 3995-4006 (2018). MSC: 82B20 82B44 PDF BibTeX XML Cite \textit{W. F. de Oliveira} and \textit{G. Q. Pellegrino}, Comput. Appl. Math. 37, No. 4, 3995--4006 (2018; Zbl 1403.82007) Full Text: DOI arXiv OpenURL
Benameur, Moulay Tahar; Mathai, Varghese Gap-labelling conjecture with nonzero magnetic field. (English) Zbl 1381.58012 Adv. Math. 325, 116-164 (2018). MSC: 58J50 46L55 46L80 52C23 19K14 81V70 58J22 PDF BibTeX XML Cite \textit{M. T. Benameur} and \textit{V. Mathai}, Adv. Math. 325, 116--164 (2018; Zbl 1381.58012) Full Text: DOI arXiv Link OpenURL
Damanik, David; Fillman, Jake; Gorodetski, Anton Continuum Schrödinger operators associated with aperiodic subshifts. (English) Zbl 1292.81052 Ann. Henri Poincaré 15, No. 6, 1123-1144 (2014). MSC: 81Q10 81Q05 34L40 PDF BibTeX XML Cite \textit{D. Damanik} et al., Ann. Henri Poincaré 15, No. 6, 1123--1144 (2014; Zbl 1292.81052) Full Text: DOI arXiv OpenURL
De Moura, F. A. B. F.; Viana, L. P.; Lyra, M. L.; Malyshev, V. A.; Domínguez-Adame, F. Bias driven coherent carrier dynamics in a two-dimensional aperiodic potential. (English) Zbl 1225.82065 Phys. Lett., A 372, No. 44, 6694-6700 (2008). MSC: 82D20 82B44 82D25 82C70 82C24 82C27 81Q70 PDF BibTeX XML Cite \textit{F. A. B. F. De Moura} et al., Phys. Lett., A 372, No. 44, 6694--6700 (2008; Zbl 1225.82065) Full Text: DOI arXiv OpenURL
Destainville, N. Numerical entropy and phason elastic constants of plane random tilings with any 2D-fold symmetry. (English) Zbl 1189.82005 Eur. Phys. J. B, Condens. Matter Complex Syst. 52, No. 1, 119-123 (2006). MSC: 82-05 82B80 52C23 82B44 PDF BibTeX XML Cite \textit{N. Destainville}, Eur. Phys. J. B, Condens. Matter Complex Syst. 52, No. 1, 119--123 (2006; Zbl 1189.82005) Full Text: DOI arXiv OpenURL
Bellissard, Jean; Benedetti, Riccardo; Gambaudo, Jean-Marc Spaces of tilings, finite telescopic approximations and gap-labeling. (English) Zbl 1116.46063 Commun. Math. Phys. 261, No. 1, 1-41 (2006). MSC: 46L80 52C23 82B44 37B50 46L55 19K14 47B80 PDF BibTeX XML Cite \textit{J. Bellissard} et al., Commun. Math. Phys. 261, No. 1, 1--41 (2006; Zbl 1116.46063) Full Text: DOI arXiv OpenURL
Lagarias, Jeffrey C.; Rains, Eric Dynamics of a family of piecewise-linear area-preserving plane maps III. Cantor set spectra. (English) Zbl 1082.37046 J. Difference Equ. Appl. 11, No. 14, 1205 1224 (2005). MSC: 37E30 52C23 37B10 37E45 37E10 39A70 39B12 PDF BibTeX XML Cite \textit{J. C. Lagarias} and \textit{E. Rains}, J. Difference Equ. Appl. 11, No. 14, 1205 1224 (2005; Zbl 1082.37046) Full Text: DOI arXiv Link OpenURL
Widom, M.; Destainville, N.; Mosseri, R.; Bailly, F. Random tilings of high symmetry. II: Boundary conditions and numerical studies. (English) Zbl 1108.82020 J. Stat. Phys. 120, No. 5-6, 837-873 (2005). MSC: 82B44 82B41 82D15 52C23 82B80 PDF BibTeX XML Cite \textit{M. Widom} et al., J. Stat. Phys. 120, No. 5--6, 837--873 (2005; Zbl 1108.82020) Full Text: DOI arXiv Link OpenURL
Destainville, N.; Widom, M.; Mosseri, R.; Bailly, F. Random tilings of high symmetry. I: Mean-field theory. (English) Zbl 1107.82026 J. Stat. Phys. 120, No. 5-6, 799-835 (2005). Reviewer: Piotr Garbaczewski (Opole) MSC: 82B44 82B41 82D15 52C23 82B80 PDF BibTeX XML Cite \textit{N. Destainville} et al., J. Stat. Phys. 120, No. 5--6, 799--835 (2005; Zbl 1107.82026) Full Text: DOI arXiv OpenURL
Damanik, David; Lenz, Daniel Half-line eigenfunction estimates and purely singular continuous spectrum of zero Lebesgue measure. (English) Zbl 1047.81021 Forum Math. 16, No. 1, 109-128 (2004). Reviewer: Eckhard Giere (Clausthal-Zellerfeld) MSC: 81Q10 47B36 47B80 37E10 37A25 PDF BibTeX XML Cite \textit{D. Damanik} and \textit{D. Lenz}, Forum Math. 16, No. 1, 109--128 (2004; Zbl 1047.81021) Full Text: DOI arXiv OpenURL
Lenz, Daniel; Stollmann, Peter Delone dynamical systems and associated random operators. (English) Zbl 1285.47044 Combes, Jean-Michel (ed.) et al., Operator algebras and mathematical physics. Proceedings of the conference, Constanţa, Romania, July 2–7, 2001. Bucharest: Theta (ISBN 973-85432-2-3). 267-285 (2003). MSC: 47B80 82B44 46L60 52C23 37B50 PDF BibTeX XML Cite \textit{D. Lenz} and \textit{P. Stollmann}, in: Operator algebras and mathematical physics. Proceedings of the conference, Constanţa, Romania, July 2--7, 2001. Bucharest: Theta. 267--285 (2003; Zbl 1285.47044) Full Text: arXiv OpenURL
Lenz, Daniel; Stollmann, Peter Aperiodic order and quasicrystals: spectral properties. (English) Zbl 1073.52510 Ann. Henri Poincaré 4, Suppl. 2, S933-S942 (2003). Reviewer: Michael Baake (Bielefeld) MSC: 52C23 82D20 81Q10 PDF BibTeX XML Cite \textit{D. Lenz} and \textit{P. Stollmann}, Ann. Henri Poincaré 4, S933--S942 (2003; Zbl 1073.52510) Full Text: DOI OpenURL
Lenz, Daniel; Stollmann, Peter Algebras of random operators associated to Delone dynamical systems. (English) Zbl 1031.46078 Math. Phys. Anal. Geom. 6, No. 3, 269-290 (2003). MSC: 46L60 47B80 82B44 52C23 PDF BibTeX XML Cite \textit{D. Lenz} and \textit{P. Stollmann}, Math. Phys. Anal. Geom. 6, No. 3, 269--290 (2003; Zbl 1031.46078) Full Text: DOI arXiv OpenURL
Külske, Christof Universal bounds on the selfaveraging of random diffraction measures. (English) Zbl 1025.78009 Probab. Theory Relat. Fields 126, No. 1, 29-50 (2003). Reviewer: M.Baake (Greifswald) MSC: 78A45 82B44 60F10 82D30 52C23 PDF BibTeX XML Cite \textit{C. Külske}, Probab. Theory Relat. Fields 126, No. 1, 29--50 (2003; Zbl 1025.78009) Full Text: DOI arXiv 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
Damanik, David Gordon-type arguments in the spectral theory of one-dimensional quasicrystals. (English) Zbl 0989.81025 Baake, Michael (ed.) et al., Directions in mathematical quasicrystals. Providence, RI: AMS, American Mathematical Society. CRM Monogr. Ser. 13, 277-305 (2000). Reviewer: Jean-Paul Allouche (Orsay) MSC: 81Q10 47B80 52C23 PDF BibTeX XML Cite \textit{D. Damanik}, CRM Monogr. Ser. 13, 277--305 (2000; Zbl 0989.81025) Full Text: arXiv OpenURL
Masáková, Zuzana; Patera, Jiří; Pelantová, Edita Substitution rules for aperiodic sequences of the cut and project type. (English) Zbl 0978.11006 J. Phys. A, Math. Gen. 33, No. 48, 8867-8886 (2000). MSC: 11B85 37B10 37N20 82B44 52C23 82D25 PDF BibTeX XML Cite \textit{Z. Masáková} et al., J. Phys. A, Math. Gen. 33, No. 48, 8867--8886 (2000; Zbl 0978.11006) Full Text: DOI OpenURL
Damanik, David Substitution Hamiltonians with bounded trace map orbits. (English) Zbl 0996.37011 J. Math. Anal. Appl. 249, No. 2, 393-411 (2000). Reviewer: Messoud Efendiev (Berlin) MSC: 37B10 47B39 34L05 34L40 PDF BibTeX XML Cite \textit{D. Damanik}, J. Math. Anal. Appl. 249, No. 2, 393--411 (2000; Zbl 0996.37011) Full Text: DOI OpenURL
Baake, Michael A note on palindromicity. (English) Zbl 0999.81019 Lett. Math. Phys. 49, No. 3, 217-227 (1999). Reviewer: A.Bovier (Berlin) MSC: 81Q10 47B39 47N50 39A12 11B83 52C23 PDF BibTeX XML Cite \textit{M. Baake}, Lett. Math. Phys. 49, No. 3, 217--227 (1999; Zbl 0999.81019) Full Text: DOI arXiv OpenURL
Radulescu, O.; Janssen, T. Arithmetic properties of spectra produced by Farey hierarchies of approximants. (English) Zbl 0960.82032 J. Math. Phys. 40, No. 3, 1317-1333 (1999). MSC: 82D25 11Z05 82B44 PDF BibTeX XML Cite \textit{O. Radulescu} and \textit{T. Janssen}, J. Math. Phys. 40, No. 3, 1317--1333 (1999; Zbl 0960.82032) Full Text: DOI OpenURL
de Gier, J.; Nienhuis, B. The exact solution of an octagonal rectangle-triangle random tiling. (English) Zbl 0937.82015 J. Stat. Phys. 87, No. 1-2, 415-437 (1997). MSC: 82B23 52C23 82B44 82D25 PDF BibTeX XML Cite \textit{J. de Gier} and \textit{B. Nienhuis}, J. Stat. Phys. 87, No. 1--2, 415--437 (1997; Zbl 0937.82015) Full Text: DOI arXiv OpenURL
Janssen, T. Aperiodic Schrödinger operators. Electrons and phonons in aperiodic crystals. (English) Zbl 0883.47087 Moody, Robert V. (ed.), The mathematics of long-range aperiodic order. Proceedings of the NATO Advanced Study Institute, Waterloo, Ontario, Canada, August 21–September 1, 1995. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 489, 269-306 (1997). Reviewer: M.Demuth (Clausthal) MSC: 47N50 81Q10 81Q05 PDF BibTeX XML Cite \textit{T. Janssen}, NATO ASI Ser., Ser. C, Math. Phys. Sci. 489, 269--306 (1997; Zbl 0883.47087) OpenURL
Turban, Loïc; Berche, Pierre-Emmanuel; Berche, Bertrand Surface magnetization of aperiodic Ising systems: A comparative study of the bond and site problems. (English) Zbl 0846.60096 J. Phys. A, Math. Gen. 27, No. 19, 6349-6366 (1994). MSC: 60K35 82B44 11B99 PDF BibTeX XML Cite \textit{L. Turban} et al., J. Phys. A, Math. Gen. 27, No. 19, 6349--6366 (1994; Zbl 0846.60096) Full Text: DOI arXiv OpenURL
Hof, A. Some remarks on discrete aperiodic Schrödinger operators. (English) Zbl 1101.39301 J. Stat. Phys. 72, No. 5-6, 1353-1374 (1993). MSC: 39A12 52C20 82B05 PDF BibTeX XML Cite \textit{A. Hof}, J. Stat. Phys. 72, No. 5--6, 1353--1374 (1993; Zbl 1101.39301) Full Text: DOI OpenURL
Bellissard, Jean Gap labelling theorems for Schrödinger operators. (English) Zbl 0833.47056 Waldschmidt, Michel (ed.) et al., From number theory to physics. Lectures of a meeting on number theory and physics held at the Centre de Physique, Les Houches (France), March 7-16, 1989. Berlin: Springer-Verlag. 538-630 (1992). MSC: 47N50 46L85 46L80 35J10 81T13 47F05 47A10 47A40 PDF BibTeX XML Cite \textit{J. Bellissard}, in: From number theory to physics. Lectures of a meeting on number theory and physics held at the Centre de Physique, Les Houches (France), March 7-16, 1989. Berlin: Springer-Verlag. 538--630 (1992; Zbl 0833.47056) OpenURL