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

Aedo, Ibai; Grimm, Uwe; Mañibo, Neil; Nagai, Yasushi and Staynova, Petra (2024). Monochromatic arithmetic progressions in automatic sequences with group structure. Journal of Combinatorial Theory, Series A, 203, article no. 105831.

Grimm, Uwe and Schreiber, Michael (2023). Electronic structure of quasicrystals. In: Chakraborty, Tapash ed. Encyclopedia of Condensed Matter Physics (2nd ed), Volume 5. Amsterdam: Elsevier, pp. 290–297.

Imediegwu, Chikwesiri; Clarke, Daniel; Carter, Francesca; Grimm, Uwe; Jowers, Iestyn and Moat, Richard (2023). Mechanical characterisation of novel aperiodic lattice structures. Materials & Design, 229, article no. 111922.

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Imediegwu, Chikwesiri; Grimm, Uwe; Moat, Richard and Jowers, Iestyn (2023). A computational method for determining the linear elastic properties of 2D aperiodic lattice structures. The Journal of Strain Analysis for Engineering Design, 58(7) pp. 590–602.

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Aedo, Ibai; Grimm, Uwe and Short, Ian (2023). Forward limit sets of semigroups of substitutions. arxiv/Forward limit sets of semigroups of substitutions (Early access).

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Aedo, Ibai; Grimm, Uwe; Nagai, Yasushi and Staynova, Petra (2022). Monochromatic Arithmetic Progressions in Binary Thue–Morse-Like Words. Theoretical Computer Science, 934 pp. 65–80.

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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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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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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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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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Baake, Michael and (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.

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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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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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.

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; 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.

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

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.

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

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

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.

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.

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.

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

Grimm, Uwe; McGrath, Rónán; Degtyareva, Olga and Sharma, Hem Raj eds. (2010). 6th International Conference on Aperiodic Crystals (APERIODIC'09). Journal of Physics: Conference Series, 226 (1). London: IoP Publishing Ltd.

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

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

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

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 - Crystalline Materials, 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(1) pp. 1–10.

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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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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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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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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.

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

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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Garske, Tini and Grimm, Uwe (2004). Maximum principle and mutation thresholds for four-letter sequence evolution. Journal of Statistical Mechanics: Theory and Experiment, 2004, article no. 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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Baake, Michael; Grimm, Uwe and Scheffer, Max (2004). Tilings colourful - only even more so. Journal of Non-Crystalline Solids, 334-335 pp. 83–85.

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Richard, Christoph and Grimm, Uwe (2004). On the entropy and letter frequencies of ternary square-free words. The Electronic Journal of Combinatorics, 11(1), article no. R14.

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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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Grimm, Uwe and Baake, Michael (2004). Shelling of homogeneous media. Ferroelectrics, 305(1) pp. 173–178.

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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.

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

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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.

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.

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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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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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.

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.

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), article no. 01.2.7.

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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.

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.

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

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.

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.

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.

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.

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.

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, Jian-Xin (1999). Application of random matrix theory to quasiperiodic systems. Physica A: Statistical and Theoretical Physics, 266(1-4) pp. 477–480.

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.

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.

Grimm, Uwe and Baake, Michael eds. (1995). Perspectives on Solvable Models. Singapore: World Scientific.