Currently browsing: Items authored or edited by Michael Baake

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 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; Roberts, John A. G. and Yassawi, Reem (2018). Reversing and extended symmetries of shift spaces. Discrete & Continuous Dynamical Systems - Series A, 38(2) pp. 835–866.

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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.

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