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Items Authored or Edited by Uwe Grimm

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Number of items: 84.

2017

Chan, Lax and Grimm, Uwe (2017). Spectrum of a Rudin-Shapiro-like sequence. Advances in Applied Mathematics, 87 pp. 16–23. restricted access item, not available for direct download

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

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

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.

2016

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. file

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

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

2015

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.

2014

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.

2013

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.

2012

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

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

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

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

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. file

2011

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 June 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.

2010

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 Publising Ltd.

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 June 2010, Poznan. file

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

2009

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). file

2008

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

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

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. file

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. file

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. file

2007

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

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. file

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

2006

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

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

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

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. file

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

2005

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. file

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.

2004

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. file

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

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. file

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. file

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

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

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

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

2003

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. file

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

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. file

2002

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

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 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 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. file

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.

2001

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. file

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) file

2000

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.

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

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.

1999

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.

1998

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.

1995

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

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