Currently browsing: Items authored or edited by Uwe Grimm https://orcid.org/0000-0001-5492-7467

Adiceam, Faustin; Damanik, David; Gähler, Franz; Grimm, Uwe; Haynes, Alan; Julien, Antoine; Navas, Andrés; Sadun, Lorenzo and Weiss, Barak (2016). Open Problems and Conjectures Related to the Theory of Mathematical Quasicrystals. Arnold Mathematical Journal, 2(4) pp. 579–592.

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Baake, Michael; Frank, Natalie Priebe and Grimm, Uwe (2021). Three variations on a theme by Fibonacci. Stochastics and Dynamics, 21(3), article no. 2140001.

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Baake, M.; Coons, M.; Grimm, U.; Roberts, J.A.G. and Yassawi, R. (2021). Aperiodic Order Meets Number Theory: Origin and Structure of the Field. In: Wood, David R.; de Gier, Jan; Praeger, Cheryl E. and Tao, Terence eds. 2019-20 MATRIX Annals. MATRIX Book Series (4). Cham: Springer, pp. 663–667.

Baake, Michael and Grimm, Uwe (2020). Inflation versus projection sets in aperiodic systems: the role of the window in averaging and diffraction. Acta Crystallographica A, 76(5) pp. 559–570.

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Baake, Michael and Grimm, Uwe (2020). Diffraction of a model set with complex windows. Journal of Physics: Conference Series, 1458, article no. 012006.

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Baake, Michael and Grimm, Uwe (2020). Renormalisation of Pair Correlations and Their Fourier Transforms for Primitive Block Substitutions. In: Akiyama, Shigeki and Arnoux, Pierre eds. Substitution and Tiling Dynamics: Introduction to Self-inducing Structures. Lecture Notes in Mathematics (2273). Cham: Springer, pp. 359–395.

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Baake, Michael and Grimm, Uwe (2020). Fourier transform of Rauzy fractals and point spectrum of 1D Pisot inflation tilings. Documenta Mathematica, 25 pp. 2303–2337.

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Baake, Michael and Grimm, Uwe (2019). Scaling of diffraction intensities near the origin: some rigorous results. Journal of Statistical Mechanics: Theory and Experiment, May 2019, article no. 054003.

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Baake, Michael; Frank, Natalie Priebe; Grimm, Uwe and Robinson, Jr., E. Arthur (2019). Geometric properties of a binary non-Pisot inflation and absence of absolutely continuous diffraction. Studia Mathematica, 247 pp. 109–154.

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Baake, Michael; Grimm, Uwe and Mañibo, Neil (2018). Spectral analysis of a family of binary inflation rules. Letters in Mathematical Physics, 108(8) pp. 1783–1805.

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Baake, Michael and Grimm, Uwe (2017). Aperiodic Order. Volume 2: Crystallography and Almost Periodicity. Encyclopedia of Mathematics and Its Applications, 166. Cambridge: Cambridge University Press.

Baake, Michael and Grimm, Uwe (2017). Diffraction of a binary non-Pisot inflation tiling. Journal of Physics: Conference Series, 809(1), article no. 012026.

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Baake, Michael; Écija, David and Grimm, Uwe (2016). A guide to lifting aperiodic structures. Zeitschrift für Kristallographie - Crystalline Materials, 231(9) pp. 507–515.

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Baake, Michael; Damanik, David and Grimm, Uwe (2016). WHAT IS...Aperiodic Order? Notices of the American Mathematical Society, 63(6) pp. 647–650.

Baake, Michael; Birkner, Matthias and Grimm, Uwe (2015). Non-periodic Systems with Continuous Diffraction Measures. In: Kellendonk, Johannes; Lenz, Daniel and Savinien, Jean eds. Mathematics of Aperiodic Order. Progress in Mathematics (309). Basel: Birkhauser, pp. 1–32.

Baake, Michael and Grimm, Uwe (2014). Squirals and beyond: substitution tilings with singular continuous spectrum. Ergodic Theory and Dynamical Systems, 34(4) pp. 1077–1102.

Baake, M.; Grimm, U. and Nilsson, J. (2014). Scaling of the Thue-Morse diffraction measure. Acta Physica Polonica A, 126(2) pp. 431–434.

Baake, Michael and Grimm, Uwe (2013). Aperiodic Order. Vol 1. A Mathematical Invitation. Encyclopedia of Mathematics and its Applications, 149. Cambridge: Cambridge University Press.

Baake, Michael; Gähler, Franz and Grimm, Uwe (2013). Examples of substitution systems and their factors. Journal of Integer Sequences, 16(2) pp. 1–18.

Baake, Michael; Gähler, Franz and Grimm, Uwe (2012). Hexagonal inflation tilings and planar monotiles. Symmetry, 4(4) pp. 581–602.

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Baake, Michael and Grimm, Uwe (2012). On the notions of symmetry and aperiodicity for Delone sets. Symmetry, 4(4) pp. 566–580.

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Baake, Michael and Grimm, Uwe (2012). Mathematical diffraction of aperiodic structures. Chemical Society Reviews, 41(20) pp. 6821–6843.

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Baake, Michael and Grimm, Uwe (2012). A comment on the relation between diffraction and entropy. Entropy, 14(5) pp. 856–864.

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Baake, Michael; Gähler, Franz and Grimm, Uwe (2012). Spectral and topological properties of a family of generalised Thue-Morse sequences. Journal of Mathematical Physics, 53(3) 032701.

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Baake, Michael and Grimm, Uwe (2011). Kinematic diffraction from a mathematical viewpoint. Zeitschrift für Kristallographie, 226(9) pp. 711–725.

Baake, Michael and Grimm, Uwe (2011). Diffraction of limit periodic point sets. Philosophical Magazine, 91(19-21) pp. 2661–2670.

Baake, Michael and Grimm, Uwe (2011). Mathematical diffraction theory of deterministic and stochastic structures: An informal summary. In: Mathematics of Quasi-Periodic Order, 21-23 Jun 2010, RIMS, Kyoto, Japan.

Baake, Michael and Grimm, Uwe (2010). Surprises in aperiodic diffraction. Journal of Physics: Conference Series, 226(1) 012023.

Baake, Michael and Grimm, Uwe (2009). Kinematic diffraction is insufficient to distinguish order from disorder. Physical Review B, 79(2), article no. 020203(R).

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Baake, Michael; Grimm, Uwe; Heuer, Manuela and Zeiner, Peter (2008). Coincidence rotations of the root lattice A₄. European Journal of Combinatorics, 29(8) pp. 1808–1819.

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Baake, Michael and Grimm, Uwe (2008). The singular continuous diffraction measure of the Thue-Morse chain. Journal of Physics A: Mathematical and Theoretical, 41(42) p. 422001.

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Baake, Michael; Frettlöh, Dirk and Grimm, Uwe (2007). Pinwheel patterns and powder diffraction. Philosophical Magazine, 87(18-21) pp. 2831–2838.

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Baake, Michael; Frettlöh, Dirk and Grimm, Uwe (2007). A radial analogue of Poisson's summation formula with applications to powder diffraction and pinwheel patterns. Journal of Geometry and Physics, 57(5) pp. 1331–1343.

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Baake, Michael and Grimm, Uwe (2007). Homometric model sets and window covariograms. Zeitschrift für Kristallographie, 222(2) pp. 54–58.

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Baake, Michael; Grimm, Uwe and Giegerich, Robert (2006). Surprises in approximating Levenshtein distances. Journal of Theoretical Biology, 243(2) pp. 279–282.

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Baake, Michael and Grimm, Uwe (2006). Multiple planar coincidences with N-fold symmetry. Zeitschrift für Kristallographie, 221(8) pp. 571–581.

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Baake, Michael; Grimm, Uwe and Jockusch, Harald (2006). Freely forming groups: trying to be rare. The ANZIAM Journal, 48 pp. 1–10.

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Baake, M. and Grimm, U. (2006). Averaged coordination numbers of planar aperiodic tilings. Philosophical Magazine, 86(3-5) pp. 567–572.

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Baake, Michael; Grimm, Uwe and Scheffer, Max (2004). Tilings colourful - only even more so. Journal of Non-Crystalline Solids, 334-33 pp. 83–85.

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Baake, Michael and Grimm, Uwe (2004). Bravais colourings of planar modules with N-fold symmetry. Zeitschrift für Kristallographie, 219(2) pp. 72–80.

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Baake, Michael and Grimm, Uwe (2003). Quasicrystalline combinatorics. In: Gazeau, J.-P.; Kerner, R.; Antoine, J.-P.; Metens, S. and Thibon, J.-Y. eds. Group 24: Physical and Mathematical Aspects of Symmetries. Institute of Physics Conference Series (173). Bristol, UK: IOP Publishing Ltd, pp. 193–200.

Baake, Michael and Grimm, Uwe (2003). A Note on shelling. Discrete and Computational Geometry, 30(4) pp. 573–589.

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Baake, Michael and Grimm, Uwe (2003). Combinatorial problems of (quasi-)crystallography. In: Trebin, Hans-Rainer ed. Quasicrystals: Structure and Physical Properties. Weinheim: Wiley-VCH, pp. 160–171.

Baake, Michael; Grimm, Uwe and Scheffer, Max (2002). Colourings of planar quasicrystals. Journal of Alloys and Compounds, 342(1-2) pp. 195–197.

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Baake, Michael and Grimm, Uwe (2002). Further Reading: Literature on Quasicrystals. In: Suck, J.-B.; Schreiber, M. and Häussler, P. eds. Quasicrystals: An Introduction to Structure, Physical Properties, and Applications. Springer Series in Materials Science, 55. Berlin: Springer-Verlag, pp. 539–544.

Baake, Michael; Grimm, Uwe; Joseph, Dieter and Repetowicz, Przemyslaw (2000). Averaged shelling for quasicrystals. Materials Science and Engineering A, 294-296 pp. 441–445.

Baake, Michael and Grimm, Uwe (2000). A guide to quasicrystal literature. In: Baake, Michael and Moody, Robert V. eds. Directions in Mathematical Quasicrystals. CRM Monograph Series (13). Providence, Rhode Island, USA: American Mathematical Society, pp. 371–373.

Chan, Lax; Grimm, Uwe and Short, Ian (2018). Substitution-based structures with absolutely continuous spectrum. Indagationes Mathematicae, 29(4) pp. 1072–1086.

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Chan, Lax and Grimm, Uwe (2017). Spectrum of a Rudin-Shapiro-like sequence. Advances in Applied Mathematics, 87 pp. 16–23.

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Chan, Lax and Grimm, Uwe (2017). Substitution-based sequences with absolutely continuous diffraction. Journal of Physics: Conference Series, 809(1), article no. 012027.

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Cerovski, V.Z.; Schreiber, M. and Grimm, U. (2005). Spectral and diffusive properties of silver-mean quasicrystals in one, two, and three dimensions. Physical Review B, 72(5) 054203.

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Eilmes, Andrzej; Grimm, Uwe; Roemer, Rudolf A. and Schreiber, Michael (1999). Two interacting particles at the metal-insulator transition. European Physical Journal B - Condensed Matter and Complex Systems, 8(4) pp. 547–554.

Grimm, Uwe and Roemer, Rudolf A. (2021). Gaussian orthogonal ensemble for quasiperiodic tilings without unfolding: r-value statistics. Physical Review B, 104(6), article no. L060201.

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Grimm, Uwe (2017). Aperiodic Order. In: Bullett, Shaun; Fearn, Tom and Smith, Frank eds. Dynamical and Complex Systems. LTCC Advanced Mathematics Series (5). London: World Scientific Europe, pp. 41–80.

Grimm, Uwe (2015). Aperiodic crystals and beyond. Acta Crystallographica Section B, 71(3) pp. 258–274.

Grimm, U. and Baake, M. (2014). Recent progress in mathematical diffraction. Acta Physica Polonica A, 146(2) pp. 474–478.

Grimm, Uwe (2011). Electrons in quasicrystals. Israel Journal of Chemistry, 51(11-12) pp. 1257–1262.

Grimm, Uwe and Deng, Xinghua (2011). Some comments on pinwheel tilings and their diffraction. Journal of Physics: Conference Series, 284(1) 012032.

Grimm, Uwe and Baake, Michael (2008). Homometric point sets and inverse problems. Zeitschrift für Kristallographie, 223(11-12) pp. 777–781.

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Grimm, Uwe and Heuer, Manuela (2008). On the entropy and letter frequencies of powerfree words. Entropy, 10(4) pp. 590–612.

Grimm, Uwe and Schreiber, Michael (2005). Electronic structure of quasicrystals. In: Bassani, G; Liedl, Gerald and Wyder, Peter eds. Encyclopedia of Condensed Matter Physics. U.S: Academic Press, pp. 95–100.

Garske, Tini and Grimm, Uwe (2004). Maximum principle and mutation thresholds for four-letter sequence evolution. Journal of Statistical Mechanics: Theory and Experiment(P07007)

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Grimm, Uwe (2004). Series expansions for level-spacing distributions of the Gaussian unitary random matrix ensemble. Physica status solidi b: basic research, 241(9) pp. 2139–2147.

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Garske, Tini and Grimm, Uwe (2004). A maximum principle for the mutation-selection equilibrium of nucleotide sequences. Bulletin of Mathematical Biology, 66(3) pp. 397–421.

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Grimm, Uwe and Baake, Michael (2004). Shelling of homogeneous media. Ferroelectrics, 305 pp. 173–178.

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Grimm, Uwe and Martin, Paul P. (2003). The bubble algebra: structure of a two-colour Temperley–Lieb Algebra. Journal of Physics A: Mathematical and General, 36(42) pp. 10551–10571.

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Grimm, Uwe and Schreiber, Michael (2003). Energy spectra and eigenstates of quasiperiodic tight-binding Hamiltonians. In: Trebin, Hans-Rainer ed. Quasicrystals: Structure and Physical Properties. Weinheim: Wiley-VCH, pp. 210–235.

Grimm, Uwe (2003). Duality and conformal twisted boundaries in the Ising model. In: Gazeau, J.-P.; Kerner, R.; Antoine, J.-P.; Métens, S. and Thibon, J.-Y. eds. Group 24: Physical and Mathematical Aspects of Symmetry. Institute of Physics Conference Series (173). Bristol, UK: IOP Publishing Ltd, pp. 395–398.

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Grimm, Uwe and Schreiber, Michael (2002). Aperiodic tilings on the computer. In: Suck, J.-B.; Schreiber, M. and Häussler, P. eds. Quasicrystals: An Introduction to Structure, Physical Properties, and Applications. Springer Series in Materials Science (55). Berlin: Springer Verlag, pp. 49–66.

Grimm, Uwe and Joseph, Dieter (2002). Modelling quasicrystal growth. In: Suck, J.-B.; Schreiber, M. and Häussler, P. eds. Quasicrystals: An Introduction to Structure, Physical Properties, and Applications. Springer Series in Materials Science (55). Berlin: Springer Verlag, pp. 199–218.

Grimm, Uwe and Repetowicz, Przemyslaw (2002). Partition function zeros of aperiodic Ising models. In: Kapuscik, Edward and Horzela, Andrzej eds. Quantum Theory and Symmetries. Singapore: World Scientific, pp. 354–359.

Grimm, Uwe (2002). Spectrum of a duality-twisted Ising quantum chain. Journal of Physics A: Mathematical and General, 35(3) L25-L30.

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Grimm, Uwe (2002). Aperiodicity and Disorder - Do They Play a Role? In: Hoffmann, K.-H. and Schreiber, Michael eds. Computational Statistical Physics: From Billiards to Monte-Carlo. Berlin: Springer-Verlag, pp. 191–210.

Guan, X. W.; Foerster, A.; Grimm, U.; Römer, R. A. and Schreiber, M. (2001). A supersymmetric U_q[osp(2|2)]-extended Hubbard model with boundary fields. Nuclear Physics B, 618(3) pp. 650–674.

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Grimm, Uwe and Scheffer, Max (2001). Incommensurate crystals and quasicrystals. In: Meyers, Robert A. ed. Encyclopedia of Physical Science and Technology, Volume 7. San Diego: Academic Press, pp. 731–749.

Grimm, Uwe (2001). Improved bounds on the number of ternary square-free words. Journal of Integer Sequences, 4(2)

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Grimm, Uwe; Roemer, Rudolf A.; Schreiber, Michael and Zhong, Jian-Xin (2000). Universal level-spacing statistics in quasiperiodic tight-binding models. Materials Science and Engineering A, 294-296 pp. 564–567.

Guan, Xi-Wen; Grimm, Uwe; Roemer, Rudolf A. and Schreiber, Michael (2000). Integrable impurities for an open fermion chain. Journal of Physics A: Mathematical and General, 33(21) pp. 3863–3879.

Guan, Xi-Wen; Grimm, Uwe and Römer, Rudolf A. (1998). Lax pair formulation for a small-polaron chain with integrable boundaries. Annalen der Physik, 7(5-6) pp. 518–522.

Grimm, Uwe; Römer, Rudolf A. and Schliecker, Gudrun (1998). Electronic states in topologically disordered systems. Annalen der Physik, 7(5-6) pp. 389–393.

Lynch, Penelope A.; Grimm, Uwe and Read, Andrew F. (2008). How will public and animal health interventions drive life-history evolution in parasitic nematodes? Parasitology, 135(13) pp. 1599–1611.

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Moat, R. J.; Muyupa, E.; Imediegwu, C.; Clarke, D. J.; Jowers, I. and Grimm, U. G. (2022). Compressive behaviour of cellular structures with aperiodic order. Results in Materials, 15, article no. 100293.

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Moro, A.; Lucas, Michael; Grimm, U. and Grassi, E. (2010). Financing SMEs: a model for optimising the capital structure. In: 17th Annual Global Finance Conference, 27-30 Jun 2010, Poznan.

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McGrath, Rónán; Grimm, Uwe and Diehl, Renee D. (2004). The forbidden beauty of quasicrystals. Physics World, 17(12) pp. 23–27.

Richard, Christoph and Grimm, Uwe (2004). On the entropy and letter frequencies of ternary square-free words. Electronic Journal of Combinatorics, 11(1) R14.

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Repetowicz, Przemyslaw; Grimm, Uwe and Schreiber, Michael (2000). Planar quasiperiodic Ising models. Materials Science and Engineering A, 294-296 pp. 638–641.

Repetozwicz, Przemyslaw; Grimm, Uwe and Schreiber, Michael (1999). High-temperature expansion for Ising models on quasiperiodic tilings. Journal of Physics A: Mathematical and General, 32(24) pp. 4397–4418.

Schreiber, Michael; Grimm, Uwe; Roemer, Rudolf A. and Zhong, Jianxin (1999). Energy levels of quasiperiodic Hamiltonians, spectral unfolding, and random matrix theory. Computer Physics Communications, 121-122 pp. 499–501.

Schreiber, Michael; Grimm, Uwe; Roemer, Rudolf A. and Zhong, Jian-Xin (1999). Application of random matrix theory to quasiperiodic systems. Physica A: Statistical and Theoretical Physics, 266(1-4) pp. 477–480.

Thiem, Stefanie; Schreiber, Michael and Grimm, Uwe (2011). Light transmission through metallic-mean quasiperiodic stacks with oblique incidence. Philosophical Magazine, 91(19-21) pp. 2801–2810.

Thiem, Stefanie; Schreiber, Michael and Grimm, Uwe (2009). Wave packet dynamics, ergodicity, and localization in quasiperiodic chains. Physical Review B, 80(21) p. 214203.

Vedmedenko, E.Y.; Grimm, U. and Wiesendanger, R. (2006). Interplay between magnetic and spatial order in quasicrystals. Philosophical Magazine, 86(6-8) pp. 733–739.

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Vedmedenko, E.Y.; Grimm, U. and Wiesendanger, R. (2004). Noncollinear magnetic order in quasicrystals. Physical Review Letters, 93(7) 0764071-0764074.

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Wang, Xiaoguang; Grimm, Uwe and Schreiber, Michael (2000). Trace and antitrace maps for aperiodic sequences: Extensions and applications. Physical Review B, 62(21) pp. 14020–14031.

Yuan, H. Q.; Grimm, U.; Repetowicz, P. and Schreiber, M. (2000). Energy spectra, wave functions, and quantum diffusion for quasiperiodic systems. Physical Review B, 62(23) pp. 15569–15578.