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2013, Encyclopedia of mathematics and its applications, ISBN 0521869927, Volume 149, volumes
"Quasicrystals are non-periodic solids that were discovered in 1982 by Dan Shechtman, Nobel Prize Laureate in Chemistry 2011. The underlying mathematics, known... 
Aperiodic tilings | Quasicrystals | Mathematics | Aperiodicity | Crystallography, Mathematical
Book
2000, CRM monograph series, ISBN 9780821826294, Volume 13, viii, 379
Book
Discrete and Continuous Dynamical Systems- Series A, ISSN 1078-0947, 12/2016, Volume 36, Issue 12, pp. 6645 - 6656
Journal Article
Journal of Physics: Conference Series, ISSN 1742-6588, 03/2017, Volume 809, Issue 1
Journal of Physics: Conference Series 809 (2017) 012026 A one-parameter family of binary inflation rules in one dimension is considered. Apart from the first... 
Conference Proceeding
Gut, ISSN 0017-5749, 05/2013, Volume 62, Issue 5, pp. 751 - 759
Journal Article
Letters in Mathematical Physics, ISSN 0377-9017, 8/2018, Volume 108, Issue 8, pp. 1783 - 1805
...Lett Math Phys (2018) 108:1783–1805 https://doi.org/10.1007/s11005-018-1045-4 Spectral analysis of a family of binary inflation rules Michael Baake 1 · Uwe... 
Substitution dynamical systems | 52C23 | Theoretical, Mathematical and Computational Physics | Complex Systems | Mahler measure | 11K70 | Physics | Renormalisation | Geometry | Diffraction | Spectral theory | Lyapunov exponents | 37B10 | Group Theory and Generalizations | PHYSICS, MATHEMATICAL | Inflation (Finance)
Journal Article
ISSN 0306-0012, 9/2012, Volume 41, Issue 2, pp. 6821 - 6843
...Chemical Society Reviews Themed issue: Quasicrystals ISSN 0306-0012 CRITICAL REVIEW Michael Baake and Uwe Grimm Mathematical diff raction of aperiodic... 
Journal Article
Acta crystallographica. Section A, Foundations and advances, ISSN 2053-2733, 08/2014, Volume 70, Issue a1, pp. C521 - C521
Following Dan Shechtman's discovery of quasicrystals in 1982, the realm of crystallography has been extended to include structures that lack translational... 
Journal Article
Ergodic theory and dynamical systems, ISSN 0143-3857, 08/2014, Volume 34, Issue 4, pp. 1077 - 1102
...  Ergod. Th. & Dynam. Sys. (2014), 34, 10771102 c doi:10.1017/etds.2012.191 MICHAEL BAAKE and UWE GRIMM Fakultt fr Mathematik, Universitt Bielefeld, Postfach... 
DELONE SETS | MATHEMATICS | MATHEMATICS, APPLIED | SYMMETRY | SEQUENCES | PURE POINT DIFFRACTION | DYNAMICAL-SYSTEMS | MODEL SETS | CONSTANT-LENGTH | SELF-SIMILAR TILINGS | QUASI-CRYSTALS | DIFFUSE-SCATTERING | Dynamical systems | Spectrum analysis | Lattice theory | Inflation | Diffraction | Balancing | Equivalence | Lattices | Blocking | Tiling
Journal Article
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, ISSN 1742-5468, 05/2019, Volume 2019, Issue 5, p. 54003
The scaling behaviour of the diffraction intensity near the origin is investigated for (partially) ordered systems, with an emphasis on illustrative, rigorous... 
rigorous results in statistical mechanics | random/ordered microstructures | CONTINUITY | MECHANICS | HYPERUNIFORMITY | INFLATION | renormalisation group | QUASI-CRYSTALS | stochastic processes | PHYSICS, MATHEMATICAL | POINT SETS
Journal Article
Chemical Society Reviews, ISSN 0306-0012, 10/2012, Volume 41, Issue 20, pp. 6821 - 6843
Kinematic diffraction is well suited for a mathematical approach via measures, which has substantially been developed since the discovery of quasicrystals. The... 
SQUARE-TRIANGLE TILINGS | NON-PERIODIC TILINGS | DODECAGONAL QUASI-CRYSTALS | MATCHING RULES | PENROSE TILINGS | PURE POINT DIFFRACTION | REAL-SPACE STRUCTURE | LOCAL DERIVABILITY | DIRAC COMBS | CHEMISTRY, MULTIDISCIPLINARY | DIFFUSE-SCATTERING
Journal Article
Monatshefte für Mathematik, ISSN 0026-9255, 2/2017, Volume 182, Issue 2, pp. 243 - 269
...Monatsh Math (2017) 182:243–269 DOI 10.1007/s00605-016-1004-z The recombination equation for interval partitions Michael Baake 1 · Elham Shamsara 2 Received... 
06B23 | Markov generator | 34G20 | Mathematics | Recombination equation | Population genetics | Closed solution | Nonlinear ODEs | 92D10 | Interval partitions | Mathematics, general | Measure-valued equations | 60J25 | MATHEMATICS
Journal Article
Ergodic theory and dynamical systems, ISSN 0143-3857, 10/2015, Volume 35, Issue 7, pp. 2017 - 2043
...  c Cambridge University Press, 2014 Ergod. Th. & Dynam. Sys. (2015), 35, 20172043 doi:10.1017/etds.2014.28 MICHAEL BAAKE, DANIEL LENZ and AERNOUT VAN ENTER... 
SYSTEMS | OPERATOR METHODS | MECHANICS | NUMBER | PURE POINT DIFFRACTION | SETS | MATHEMATICS | MATHEMATICS, APPLIED | Dynamical systems | Classification | Diffraction | Equivalence | Dynamics | Mathematical analysis | Collection | Spectra | Ergodic processes | Complexity | Mathematics - Dynamical Systems
Journal Article
Discrete and Continuous Dynamical Systems - Series S, ISSN 1937-1632, 04/2017, Volume 10, Issue 2, pp. 161 - 190
Journal Article
Discrete and Continuous Dynamical Systems- Series A, ISSN 1078-0947, 01/2016, Volume 36, Issue 1, pp. 63 - 95
The process of recombination in population genetics, in its deterministic limit, leads to a nonlinear ODE in the Banach space of finite measures on a locally... 
Lattice of partitions | Recursive solution | Nonlinear recombination equation | Population genetics | Measure-valued ODE | MATHEMATICS | MATHEMATICS, APPLIED | SINGLE-CROSSOVER RECOMBINATION | DISCRETE | DYNAMICS | SYSTEMS | MODEL | SELECTION | LINKAGE
Journal Article
The Michigan mathematical journal, ISSN 0026-2285, 06/2020
Journal Article
Ergodic theory and dynamical systems, ISSN 0143-3857, 12/2004, Volume 24, Issue 6, pp. 1867 - 1893
...  Ergod. Th. & Dynam. Sys. (2004), 24, 18671893 c 2004 Cambridge University Press DOI: 10.1017/S0143385704000318 Printed in the United Kingdom MICHAEL BAAKE... 
MATHEMATICS | MATHEMATICS, APPLIED | Mathematics - Dynamical Systems
Journal Article
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, ISSN 1078-0947, 07/2019, Volume 39, Issue 7, pp. 4157 - 4185
The classic Thue-Morse measure is a paradigmatic example of a purely singular continuous probability measure on the unit interval. Since it has a... 
MATHEMATICS | MATHEMATICS, APPLIED | Thue-Morse sequence | Riesz product | multifractal analysis | thermodynamic formalism | spectral measure | Mathematics - Dynamical Systems
Journal Article
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