# zbMATH — the first resource for mathematics

## Baake, Michael

Compute Distance To:
 Author ID: baake.michael Published as: Baake, M.; Baake, Michael Homepage: https://www.math.uni-bielefeld.de/baake/ External Links: MGP · Math-Net.Ru · dblp
 Documents Indexed: 148 Publications since 1982, including 5 Books Reviewing Activity: 213 Reviews
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#### Co-Authors

 14 single-authored 35 Grimm, Uwe 13 Moody, Robert Vaughan 9 Lenz, Daniel H. 9 Roberts, John Anthony Gerard 8 Baake, Ellen 7 Gähler, Franz 6 Huck, Christian 6 Schlottmann, Martin 5 Hermisson, Joachim 5 Joseph, Dieter 5 Pleasants, Peter A. B. 5 Zeiner, Peter 4 Damanik, David 3 Coons, Michael 3 Klitzing, Richard 3 Mañibo, Neil 3 Richard, Christoph 3 Strungaru, Nicolae 2 Baxter, Rodney J. 2 Birkner, Matthias 2 Frettlöh, Dirk 2 Gemünden, B. 2 Götze, Friedrich W. 2 Gritzmann, Peter 2 Haynes, Alan K. 2 Heuer, Manuela 2 Höffe, Moritz 2 Krämer, Peter S. 2 Langfeld, Barbara 2 Lord, Katja 2 Neumärker, Natascha 2 Oedingen, R. 2 Redner, Oliver 2 Reinicke, P. 2 Rittenberg, Vladimir 2 Salamat, Majid 2 Scharlau, Rudolf 2 Sing, Bernd 2 van Enter, Aernout C. D. 1 Adams, Stefan 1 Akemann, Gernot 1 Alcaraz, Francisco Castilho 1 Allouche, Jean-Paul Simon 1 Ben-Abraham, Shelomo I. 1 Borwein, Jonathan Michael 1 Bovier, Anton 1 Bugeaud, Yann 1 Cassaigne, Julien 1 Chakarov, Nayden 1 Eich, Edda 1 Elser, Veit 1 Geske, Ralf 1 Giegerich, Robert 1 Gohlke, Philipp 1 Heydenreich, Markus 1 Hoffmann, Werner 1 Oertel-Jäger, Tobias Hendrik 1 Jakobi, Tobias 1 Jarvis, Peter D. 1 Jockusch, Harald 1 Kellendonk, Johannes 1 Kesseböhmer, Marc 1 Kirsch, Werner 1 Klein, Markus 1 Kösters, Holger 1 Kramer, P. R. G. 1 Kramer, Patricia 1 Kramer, Peter R. 1 Krüger, Oliver S. 1 Lau, Eike 1 Leschke, Hajo 1 Löwe, Matthias 1 Mielke, Adam 1 Ottensmann, Meinolf 1 Paskunas, Vytautas 1 Pastur, Leonid Andreevich 1 Pisani, Carmelo 1 Priebe Frank, Natalie 1 Rehmann, Ulf 1 Robinson, E. Arthur jun. 1 Rost, Evelyn 1 Roth, Johannes 1 Schindler, Tanja I. 1 Schlägel, Ulrike E. 1 Schlottman, M. 1 Shamsara, Elham 1 Simon, Harald 1 Spindeler, Timo 1 Sumner, Jeremy G. 1 Terauds, Venta 1 Trebin, Hans-Rainer 1 von Wangenheim, Ute 1 Wagner, Holger 1 Ward, Thomas B. 1 Warrington, D. H. 1 Weiss, Alfred R. 1 Werdehausen, Rebecca 1 Yassawi, Reem 1 Zeidler, D. 1 Zint, Natali
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#### Serials

 15 Journal of Physics A: Mathematical and General 10 Journal of Statistical Physics 9 Journal of Mathematical Physics 6 Discrete and Continuous Dynamical Systems 4 International Journal of Modern Physics B 4 Letters in Mathematical Physics 4 Zeitschrift für Kristallographie 4 Canadian Journal of Mathematics 4 Monatshefte für Mathematik 4 Ergodic Theory and Dynamical Systems 4 Oberwolfach Reports 3 Journal of Mathematical Biology 3 Nonlinearity 3 Acta Crystallographica. Section A 3 Journal of Theoretical Biology 2 Communications in Mathematical Physics 2 Zeitschrift fuer Naturforschung, A: Physical Sciences 2 Acta Arithmetica 2 Canadian Mathematical Bulletin 2 Discrete & Computational Geometry 2 Indagationes Mathematicae. New Series 2 Documenta Mathematica 2 Journal of Integer Sequences 2 Encyclopedia of Mathematics and Its Applications 2 Proceedings of the Steklov Institute of Mathematics 2 Symmetry 2 Journal de Physique. I 1 Bulletin of the Australian Mathematical Society 1 Discrete Mathematics 1 Physica A 1 Physics Letters. A 1 Studia Mathematica 1 Journal of Geometry and Physics 1 Bulletin of the London Mathematical Society 1 Journal of Algebra 1 Journal für die Reine und Angewandte Mathematik 1 Theoretical Computer Science 1 Topology and its Applications 1 European Journal of Combinatorics 1 Mathematical and Computer Modelling 1 Linear Algebra and its Applications 1 Notices of the American Mathematical Society 1 The Journal of Fourier Analysis and Applications 1 The ANZIAM Journal 1 Europhysics Letters 1 CRM Monograph Series 1 Journal of Physics A: Mathematical and Theoretical 1 Discrete and Continuous Dynamical Systems. Series S 1 Physical Review B 1 Transactions of the London Mathematical Society 1 EMS Series of Congress Reports
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#### Fields

 61 Statistical mechanics, structure of matter (82-XX) 55 Convex and discrete geometry (52-XX) 50 Dynamical systems and ergodic theory (37-XX) 26 Number theory (11-XX) 23 Probability theory and stochastic processes (60-XX) 17 Group theory and generalizations (20-XX) 17 Biology and other natural sciences (92-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 10 Quantum theory (81-XX) 9 General and overarching topics; collections (00-XX) 9 Ordinary differential equations (34-XX) 8 Measure and integration (28-XX) 8 Abstract harmonic analysis (43-XX) 7 Combinatorics (05-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 7 Geometry (51-XX) 6 Topological groups, Lie groups (22-XX) 5 Operator theory (47-XX) 4 Nonassociative rings and algebras (17-XX) 4 Computer science (68-XX) 3 Difference and functional equations (39-XX) 3 Functional analysis (46-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Special functions (33-XX) 2 Differential geometry (53-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Partial differential equations (35-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH

121 Publications have been cited 1,054 times in 456 Documents Cited by Year
Aperiodic order. Volume 1. A mathematical invitation. Zbl 1295.37001
Baake, Michael; Grimm, Uwe
2013
Dynamical systems on translation bounded measures: pure point dynamical and diffraction spectra. Zbl 1127.37004
Baake, Michael; Lenz, Daniel
2004
Weighted Dirac combs with pure point diffraction. Zbl 1188.43008
Baake, Michael; Moody, Robert V.
2004
Palindrome complexity. Zbl 1064.68074
Allouche, Jean-Paul; Baake, Michael; Cassaigne, Julien; Damanik, David
2003
Characterization of model sets by dynamical systems. Zbl 1114.82022
Baake, Michael; Lenz, Daniel; Moody, Robert V.
2007
Quasiperiodic tilings with tenfold symmetry and equivalence with respect to local derivability. Zbl 0755.52006
Baake, M.; Schlottmann, M.; Jarvis, P. D.
1991
Directions in mathematical quasicrystals. Zbl 0955.00025
Baake, Michael (ed.); Moody, Robert V. (ed.)
2000
Planar patterns with fivefold symmetry as sections of periodic structures in 4-space. Zbl 0743.51015
Baake, M.; Kramer, P.; Schlottmann, M.; Zeidler, D.
1990
Diffraction from visible lattice points and $$k$$th power free integers. Zbl 1079.52013
Baake, Michael; Moody, Robert V.; Pleasants, Peter A. B.
2000
Deformation of Delone dynamical systems and pure point diffraction. Zbl 1084.37502
Baake, Michael; Lenz, Daniel
2005
The torus parametrization of quasiperiodic LI-classes. Zbl 0919.52015
Baake, Michael; Hermisson, Joachim; Pleasants, Peter A. B.
1997
Spectral notions of aperiodic order. Zbl 1373.37031
Baake, Michael; Lenz, Daniel
2017
Limit-(quasi)periodic point sets as quasicrystals with $$p$$-adic internal spaces. Zbl 0910.52018
Baake, Michael; Moody, Robert V.; Schlottmann, Martin
1998
Fierz identities of real Clifford algebras and the number of supercharges. Zbl 0604.22014
Baake, M.; Reinicke, P.; Rittenberg, V.
1985
Dynamical versus diffraction spectrum for structures with finite local complexity. Zbl 1352.37033
Baake, Michael; Lenz, Daniel; van Enter, Aernout
2015
Trace maps as 3D reversible dynamical systems with an invariant. Zbl 0830.58025
Roberts, John A. G.; Baake, Michael
1994
Pair correlations of aperiodic inflation rules via renormalisation: some interesting examples. Zbl 1359.37025
Baake, Michael; Gähler, Franz
2016
Squirals and beyond: substitution tilings with singular continuous spectrum. Zbl 1315.37015
Baake, Michael; Grimm, Uwe
2014
Diffraction of stochastic point sets: Explicitly computable examples. Zbl 1197.82053
Baake, Michael; Birkner, Matthias; Moody, Robert V.
2010
Reversing symmetry group of $$\text{Gl}(2,\mathbb{Z})$$ and $$\text{PGl}(2,\mathbb{Z})$$ matrices with connections to cat maps and trace maps. Zbl 1001.37500
Baake, Michael; Roberts, John A. G.
1997
On weak model sets of extremal density. Zbl 1364.82011
Baake, Michael; Huck, Christian; Strungaru, Nicolae
2017
Self-similar measures for quasicrystals. Zbl 0972.52013
Baake, Michael; Moody, Robert V.
2000
An exactly solved model for mutation, recombination and selection. Zbl 1056.92040
Baake, Michael; Baake, Ellen
2003
Diffraction of weighted lattice subsets. Zbl 1161.52309
Baake, Michael
2002
Trace maps, invariants, and some of their applications. Zbl 0799.22011
Baake, M.; Grimm, U.; Joseph, D.
1993
Structure and representation of the hyperoctahedral group. Zbl 0551.20008
Baake, M.
1984
Ergodic properties of visible lattice points. Zbl 1336.37005
Baake, Michael; Huck, Christian
2015
Spectral and topological properties of a family of generalised Thue-Morse sequences. Zbl 1274.28006
Baake, Michael; Gähler, Franz; Grimm, Uwe
2012
A radial analogue of Poisson’s summation formula with applications to powder diffraction and pinwheel patterns. Zbl 1185.37029
Baake, Michael; Frettlöh, Dirk; Grimm, Uwe
2007
Diffraction of random tilings: some rigorous results. Zbl 1101.82345
Baake, Michael; Höffe, Moritz
2000
Pure point diffraction implies zero entropy for Delone sets with uniform cluster frequencies. Zbl 1129.37006
Baake, Michael; Lenz, Daniel; Richard, Christoph
2007
Four-state quantum chain as a model of sequence evolution. Zbl 1072.92511
Hermisson, Joachim; Wagner, Holger; Baake, Michael
2001
A guide to the symmetry structure of quasiperiodic tiling classes. Zbl 0943.52501
Hermisson, J.; Richard, C.; Baake, M.
1997
Geometric properties of a binary non-Pisot inflation and absence of absolutely continuous diffraction. Zbl 1419.37017
Baake, Michael; Frank, Natalie Priebe; Grimm, Uwe; Robinson, E. Arthur jun.
2019
An asymptotic maximum principle for essentially linear evolution models. Zbl 1055.92038
Baake, Ellen; Baake, Michael; Bovier, Anton; Klein, Markus
2005
A note on palindromicity. Zbl 0999.81019
Baake, Michael
1999
Diffractive point sets with entropy. Zbl 0954.82009
Baake, Michael; Moody, Robert V.
1998
Averaging almost periodic functions along exponential sequences. Zbl 1435.42004
Baake, Michael; Haynes, Alan; Lenz, Daniel
2017
The singular continuous diffraction measure of the Thue-Morse chain. Zbl 1151.37012
Baake, Michael; Grimm, Uwe
2008
Structure and representations of the symmetry group of the four- dimensional cube. Zbl 0485.20043
Baake, M.; Gemünden, B.; Oedingen, R.
1982
Spectral analysis of a family of binary inflation rules. Zbl 1406.37014
Baake, Michael; Grimm, Uwe; Mañibo, Neil
2018
Diffraction of compatible random substitutions in one dimension. Zbl 06904728
Baake, Michael; Spindeler, Timo; Strungaru, Nicolae
2018
Aperiodic order. Volume 2. Crystallography and almost periodicity. Zbl 1415.52001
Baake, Michael (ed.); Grimm, Uwe (ed.)
2017
Toeplitz flows and model sets. Zbl 1362.37030
Baake, M.; Jäger, T.; Lenz, D.
2016
Single-crossover recombination in discrete time. Zbl 1208.92050
von Wangenheim, Ute; Baake, Ellen; Baake, Michael
2010
Recombination semigroups on measure spaces. Zbl 1081.92028
Baake, Michael
2005
Symmetries and reversing symmetries of toral automorphisms. Zbl 0991.37022
Baake, Michael; Roberts, John A. G.
2001
Solution of the coincidence problem in dimensions $$d\leq 4$$. Zbl 0883.20020
Baake, Michael
1997
Root lattices and quasicrystals. Zbl 0716.52006
Baake, M.; Joseph, D.; Kramer, P.; Schlottmann, M.
1990
Renormalisation of pair correlation measures for primitive inflation rules and absence of absolutely continuous diffraction. Zbl 1433.37014
Baake, Michael; Gähler, Franz; Mañibo, Neil
2019
The general recombination equation in continuous time and its solution. Zbl 1325.34064
Salamat, Majid; Baake, Michael; Baake, Ellen
2016
Examples of substitution systems and their factors. Zbl 1336.37012
Baake, Michael; Gähler, Franz; Grimm, Uwe
2013
A note on the dynamical zeta function of general toral endomorphisms. Zbl 1205.37039
Baake, Michael; Lau, Eike; Paškūnas, Vytautas
2010
SCD patterns have singular diffraction. Zbl 1067.82059
Baake, M.; Frettlöh, D.
2005
Similarity submodules and root systems in four dimensions. Zbl 0990.11070
Baake, Michael; Moody, Robert V.
1999
Coordination sequences for root lattices and related graphs. Zbl 0921.05058
Baake, M.; Grimm, U.
1997
On the relations between irreducible representations of the hyperoctahedral group and O(4) and SO(4). Zbl 0549.20029
Baake, M.; Gemünden, B.; Oedingen, R.
1983
Reversing and extended symmetries of shift spaces. Zbl 1377.37027
Baake, Michael; Roberts, John A. G.; Yassawi, Reem
2018
Diffraction theory of point processes: systems with clumping and repulsion. Zbl 1320.60114
Baake, Michael; Kösters, Holger; Moody, Robert V.
2015
On the notions of symmetry and aperiodicity for Delone sets. Zbl 1351.37071
Baake, Michael; Grimm, Uwe
2012
Similar sublattices of planar lattices. Zbl 1315.11055
Baake, Michael; Scharlau, Rudolf; Zeiner, Peter
2011
Periodic orbits of linear endomorphisms on the 2-torus and its lattices. Zbl 1162.37019
Baake, Michael; Roberts, John A. G.; Weiss, Alfred
2008
Discrete tomography of planar model sets. Zbl 1370.82044
Baake, Michael; Gritzmann, Peter; Huck, Christian; Langfeld, Barbara; Lord, Katja
2006
Symmetries and reversing symmetries of polynomial automorphisms of the plane. Zbl 1067.37016
Baake, Michael; Roberts, John A. G.
2005
Kolakoski-$$(3, 1)$$ is a (deformed) model set. Zbl 1077.52013
Baake, Michael; Sing, Bernd
2004
The entropy of square-free words. Zbl 1185.68502
Baake, M.; Elser, V.; Grimm, U.
1997
Aperiodic Ising models. Zbl 0901.60078
Grimm, Uwe; Baake, Michael
1997
Haldane linearisation done right: solving the nonlinear recombination equation the easy way. Zbl 1353.92064
Baake, Ellen; Baake, Michael
2016
Erratum and addendum to: “The general recombination equation in continuous time and its solution”. Zbl 1326.34080
Baake, Ellen; Baake, Michael; Salamat, Majid
2016
Non-periodic systems with continuous diffraction measures. Zbl 1377.42007
Baake, Michael; Birkner, Matthias; Grimm, Uwe
2015
Hexagonal inflation tilings and planar monotiles. Zbl 1351.37070
Baake, Michael; Gähler, Franz; Grimm, Uwe
2012
The Peano-Baker series. Zbl 1302.34012
Baake, Michael; Schlägel, Ulrike
2011
Close-packed dimers on the line: diffraction versus dynamical spectrum. Zbl 1218.82001
Baake, Michael; van Enter, Aernout
2011
Erratum to: “An exactly solved model for recombination, mutation and selection”. Zbl 1231.92052
Baake, Michael; Baake, Ellen
2008
Absence of singular continuous diffraction for discrete multi-component particle models. Zbl 1214.82113
Baake, Michael; Zint, Natali
2008
Discrete tomography of mathematical quasicrystals: a primer. Zbl 1179.82133
Huck, Christian; Baake, Michael; Langfeld, Barbara; Gritzmann, Peter; Lord, Katja
2005
Bravais colourings of planar modules with $$N$$-fold symmetry. Zbl 1239.11073
Baake, Michael; Grimm, Uwe
2004
Diffraction spectrum of lattice gas models above $$T_c$$. Zbl 1172.82300
Baake, Michael; Sing, Bernd
2004
A note on shelling. Zbl 1039.52017
Baake, Michael; Grimm, Uwe
2003
Symmetries and reversing symmetries of area-preserving polynomial mappings in generalised standard form. Zbl 1001.57054
Roberts, John A. G.; Baake, Michael
2003
Self-similarities and invariant densities for model sets. Zbl 0978.52004
Baake, Michael; Moody, Robert V.
2001
A critical Ising model on the labyrinth. Zbl 1264.82017
Baake, Michael; Grimm, Uwe; Baxter, Rodney J.
1996
Planar coincidences for $$N$$-fold symmetry. Zbl 1015.11507
Pleasants, Peter A. B.; Baake, Michael; Roth, Johannes
1996
Partition function zeros for aperiodic systems. Zbl 1080.82502
Baake, Michael; Grimm, Uwe; Pisani, Carmelo
1995
Perfect matching rules for undecorated triangular tilings with 10-, 12-, and 8-fold symmetry. Zbl 0798.52025
Klitzing, Richard; Schlottmann, Martin; Baake, Michael
1993
Renormalisation of pair correlations and their Fourier transforms for primitive block substitutions. Zbl 07287529
Baake, Michael; Grimm, Uwe
2020
A brief guide to reversing and extended symmetries of dynamical systems. Zbl 1403.37028
Baake, M.
2018
Geometric enumeration problems for lattices and embedded $$\mathbb{Z}$$-modules. Zbl 1440.11116
Baake, Michael; Zeiner, Peter
2017
The recombination equation for interval partitions. Zbl 1357.92050
Baake, Michael; Shamsara, Elham
2017
What is $$\ldots$$ aperiodic order? Zbl 1352.52028
Baake, Michael; Damanik, David; Grimm, Uwe
2016
Well-rounded sublattices of planar lattices. Zbl 1320.11061
Baake, Michael; Scharlau, Rudolf; Zeiner, Peter
2014
Orbit structure and (reversing) symmetries of toral endomorphisms on rational lattices. Zbl 1288.37011
Baake, Michael; Neumärker, Natascha; Roberts, John A. G.
2013
Planar dynamical systems with pure Lebesgue diffraction spectrum. Zbl 1230.37019
Baake, Michael; Ward, Thomas B.
2010
Coincidence rotations of the root lattice $$A_4$$. Zbl 1172.52009
Baake, Michael; Grimm, Uwe; Heuer, Manuela; Zeiner, Peter
2008
Similar sublattices of the root lattice $$A_4$$. Zbl 1171.11042
Baake, Michael; Heuer, Manuela; Moody, Robert V.
2008
Coincidence site modules in 3-space. Zbl 1221.52023
Baake, Michael; Pleasants, Peter; Rehmann, Ulf
2007
Multiple planar coincidences with $$N$$-fold symmetry. Zbl 1239.11151
Baake, Michael; Grimm, Uwe
2006
The structure of reversing symmetry groups. Zbl 1101.37030
Baake, Michael; Roberts, John A. G.
2006
Unequal crossover dynamics in discrete and continuous time. Zbl 1058.92031
Redner, Oliver; Baake, Michael
2004
A guide to quasicrystal literature. Zbl 0968.52014
Baake, Michael; Grimm, Uwe
2000
Renormalisation of pair correlations and their Fourier transforms for primitive block substitutions. Zbl 07287529
Baake, Michael; Grimm, Uwe
2020
Fourier transform of Rauzy fractals and point spectrum of 1D Pisot inflation tilings. Zbl 07292560
Baake, Michael; Grimm, Uwe
2020
Binary constant-length substitutions and Mahler measures of Borwein polynomials. Zbl 07223443
Baake, Michael; Coons, Michael; Mañibo, Neil
2020
Pure point measures with sparse support and sparse Fourier-Bohr support. Zbl 07210752
Baake, Michael; Strungaru, Nicolae; Terauds, Venta
2020
Geometric properties of a binary non-Pisot inflation and absence of absolutely continuous diffraction. Zbl 1419.37017
Baake, Michael; Frank, Natalie Priebe; Grimm, Uwe; Robinson, E. Arthur jun.
2019
Renormalisation of pair correlation measures for primitive inflation rules and absence of absolutely continuous diffraction. Zbl 1433.37014
Baake, Michael; Gähler, Franz; Mañibo, Neil
2019
Spectral analysis of a family of binary inflation rules. Zbl 1406.37014
Baake, Michael; Grimm, Uwe; Mañibo, Neil
2018
Diffraction of compatible random substitutions in one dimension. Zbl 06904728
Baake, Michael; Spindeler, Timo; Strungaru, Nicolae
2018
Reversing and extended symmetries of shift spaces. Zbl 1377.37027
Baake, Michael; Roberts, John A. G.; Yassawi, Reem
2018
A brief guide to reversing and extended symmetries of dynamical systems. Zbl 1403.37028
Baake, M.
2018
A natural probability measure derived from Stern’s diatomic sequence. Zbl 1411.11029
Baake, Michael; Coons, Michael
2018
Spectral notions of aperiodic order. Zbl 1373.37031
Baake, Michael; Lenz, Daniel
2017
On weak model sets of extremal density. Zbl 1364.82011
Baake, Michael; Huck, Christian; Strungaru, Nicolae
2017
Averaging almost periodic functions along exponential sequences. Zbl 1435.42004
Baake, Michael; Haynes, Alan; Lenz, Daniel
2017
Aperiodic order. Volume 2. Crystallography and almost periodicity. Zbl 1415.52001
Baake, Michael (ed.); Grimm, Uwe (ed.)
2017
Geometric enumeration problems for lattices and embedded $$\mathbb{Z}$$-modules. Zbl 1440.11116
Baake, Michael; Zeiner, Peter
2017
The recombination equation for interval partitions. Zbl 1357.92050
Baake, Michael; Shamsara, Elham
2017
Pair correlations of aperiodic inflation rules via renormalisation: some interesting examples. Zbl 1359.37025
Baake, Michael; Gähler, Franz
2016
Toeplitz flows and model sets. Zbl 1362.37030
Baake, M.; Jäger, T.; Lenz, D.
2016
The general recombination equation in continuous time and its solution. Zbl 1325.34064
Salamat, Majid; Baake, Michael; Baake, Ellen
2016
Haldane linearisation done right: solving the nonlinear recombination equation the easy way. Zbl 1353.92064
Baake, Ellen; Baake, Michael
2016
Erratum and addendum to: “The general recombination equation in continuous time and its solution”. Zbl 1326.34080
Baake, Ellen; Baake, Michael; Salamat, Majid
2016
What is $$\ldots$$ aperiodic order? Zbl 1352.52028
Baake, Michael; Damanik, David; Grimm, Uwe
2016
Dynamical versus diffraction spectrum for structures with finite local complexity. Zbl 1352.37033
Baake, Michael; Lenz, Daniel; van Enter, Aernout
2015
Ergodic properties of visible lattice points. Zbl 1336.37005
Baake, Michael; Huck, Christian
2015
Diffraction theory of point processes: systems with clumping and repulsion. Zbl 1320.60114
Baake, Michael; Kösters, Holger; Moody, Robert V.
2015
Non-periodic systems with continuous diffraction measures. Zbl 1377.42007
Baake, Michael; Birkner, Matthias; Grimm, Uwe
2015
Squirals and beyond: substitution tilings with singular continuous spectrum. Zbl 1315.37015
Baake, Michael; Grimm, Uwe
2014
Well-rounded sublattices of planar lattices. Zbl 1320.11061
Baake, Michael; Scharlau, Rudolf; Zeiner, Peter
2014
Radial spacing distributions from planar point sets. Zbl 1341.52039
Baake, M.; Götze, F.; Huck, C.; Jakobi, T.
2014
Aperiodic order. Volume 1. A mathematical invitation. Zbl 1295.37001
Baake, Michael; Grimm, Uwe
2013
Examples of substitution systems and their factors. Zbl 1336.37012
Baake, Michael; Gähler, Franz; Grimm, Uwe
2013
Orbit structure and (reversing) symmetries of toral endomorphisms on rational lattices. Zbl 1288.37011
Baake, Michael; Neumärker, Natascha; Roberts, John A. G.
2013
Spectral and topological properties of a family of generalised Thue-Morse sequences. Zbl 1274.28006
Baake, Michael; Gähler, Franz; Grimm, Uwe
2012
On the notions of symmetry and aperiodicity for Delone sets. Zbl 1351.37071
Baake, Michael; Grimm, Uwe
2012
Hexagonal inflation tilings and planar monotiles. Zbl 1351.37070
Baake, Michael; Gähler, Franz; Grimm, Uwe
2012
Similar sublattices of planar lattices. Zbl 1315.11055
Baake, Michael; Scharlau, Rudolf; Zeiner, Peter
2011
The Peano-Baker series. Zbl 1302.34012
Baake, Michael; Schlägel, Ulrike
2011
Close-packed dimers on the line: diffraction versus dynamical spectrum. Zbl 1218.82001
Baake, Michael; van Enter, Aernout
2011
Diffraction of stochastic point sets: Explicitly computable examples. Zbl 1197.82053
Baake, Michael; Birkner, Matthias; Moody, Robert V.
2010
Single-crossover recombination in discrete time. Zbl 1208.92050
von Wangenheim, Ute; Baake, Ellen; Baake, Michael
2010
A note on the dynamical zeta function of general toral endomorphisms. Zbl 1205.37039
Baake, Michael; Lau, Eike; Paškūnas, Vytautas
2010
Planar dynamical systems with pure Lebesgue diffraction spectrum. Zbl 1230.37019
Baake, Michael; Ward, Thomas B.
2010
The singular continuous diffraction measure of the Thue-Morse chain. Zbl 1151.37012
Baake, Michael; Grimm, Uwe
2008
Periodic orbits of linear endomorphisms on the 2-torus and its lattices. Zbl 1162.37019
Baake, Michael; Roberts, John A. G.; Weiss, Alfred
2008
Erratum to: “An exactly solved model for recombination, mutation and selection”. Zbl 1231.92052
Baake, Michael; Baake, Ellen
2008
Absence of singular continuous diffraction for discrete multi-component particle models. Zbl 1214.82113
Baake, Michael; Zint, Natali
2008
Coincidence rotations of the root lattice $$A_4$$. Zbl 1172.52009
Baake, Michael; Grimm, Uwe; Heuer, Manuela; Zeiner, Peter
2008
Similar sublattices of the root lattice $$A_4$$. Zbl 1171.11042
Baake, Michael; Heuer, Manuela; Moody, Robert V.
2008
Characterization of model sets by dynamical systems. Zbl 1114.82022
Baake, Michael; Lenz, Daniel; Moody, Robert V.
2007
A radial analogue of Poisson’s summation formula with applications to powder diffraction and pinwheel patterns. Zbl 1185.37029
Baake, Michael; Frettlöh, Dirk; Grimm, Uwe
2007
Pure point diffraction implies zero entropy for Delone sets with uniform cluster frequencies. Zbl 1129.37006
Baake, Michael; Lenz, Daniel; Richard, Christoph
2007
Coincidence site modules in 3-space. Zbl 1221.52023
Baake, Michael; Pleasants, Peter; Rehmann, Ulf
2007
Addendum to: Recombination semigroups on measure spaces. Zbl 1187.92066
Baake, Michael
2007
Discrete tomography of planar model sets. Zbl 1370.82044
Baake, Michael; Gritzmann, Peter; Huck, Christian; Langfeld, Barbara; Lord, Katja
2006
Multiple planar coincidences with $$N$$-fold symmetry. Zbl 1239.11151
Baake, Michael; Grimm, Uwe
2006
The structure of reversing symmetry groups. Zbl 1101.37030
Baake, Michael; Roberts, John A. G.
2006
Deformation of Delone dynamical systems and pure point diffraction. Zbl 1084.37502
Baake, Michael; Lenz, Daniel
2005
An asymptotic maximum principle for essentially linear evolution models. Zbl 1055.92038
Baake, Ellen; Baake, Michael; Bovier, Anton; Klein, Markus
2005
Recombination semigroups on measure spaces. Zbl 1081.92028
Baake, Michael
2005
SCD patterns have singular diffraction. Zbl 1067.82059
Baake, M.; Frettlöh, D.
2005
Symmetries and reversing symmetries of polynomial automorphisms of the plane. Zbl 1067.37016
Baake, Michael; Roberts, John A. G.
2005
Discrete tomography of mathematical quasicrystals: a primer. Zbl 1179.82133
Huck, Christian; Baake, Michael; Langfeld, Barbara; Gritzmann, Peter; Lord, Katja
2005
Dynamical systems on translation bounded measures: pure point dynamical and diffraction spectra. Zbl 1127.37004
Baake, Michael; Lenz, Daniel
2004
Weighted Dirac combs with pure point diffraction. Zbl 1188.43008
Baake, Michael; Moody, Robert V.
2004
Kolakoski-$$(3, 1)$$ is a (deformed) model set. Zbl 1077.52013
Baake, Michael; Sing, Bernd
2004
Bravais colourings of planar modules with $$N$$-fold symmetry. Zbl 1239.11073
Baake, Michael; Grimm, Uwe
2004
Diffraction spectrum of lattice gas models above $$T_c$$. Zbl 1172.82300
Baake, Michael; Sing, Bernd
2004
Unequal crossover dynamics in discrete and continuous time. Zbl 1058.92031
Redner, Oliver; Baake, Michael
2004
Palindrome complexity. Zbl 1064.68074
Allouche, Jean-Paul; Baake, Michael; Cassaigne, Julien; Damanik, David
2003
An exactly solved model for mutation, recombination and selection. Zbl 1056.92040
Baake, Michael; Baake, Ellen
2003
A note on shelling. Zbl 1039.52017
Baake, Michael; Grimm, Uwe
2003
Symmetries and reversing symmetries of area-preserving polynomial mappings in generalised standard form. Zbl 1001.57054
Roberts, John A. G.; Baake, Michael
2003
Diffraction of weighted lattice subsets. Zbl 1161.52309
Baake, Michael
2002
Four-state quantum chain as a model of sequence evolution. Zbl 1072.92511
Hermisson, Joachim; Wagner, Holger; Baake, Michael
2001
Symmetries and reversing symmetries of toral automorphisms. Zbl 0991.37022
Baake, Michael; Roberts, John A. G.
2001
Self-similarities and invariant densities for model sets. Zbl 0978.52004
Baake, Michael; Moody, Robert V.
2001
Directions in mathematical quasicrystals. Zbl 0955.00025
Baake, Michael (ed.); Moody, Robert V. (ed.)
2000
Diffraction from visible lattice points and $$k$$th power free integers. Zbl 1079.52013
Baake, Michael; Moody, Robert V.; Pleasants, Peter A. B.
2000
Self-similar measures for quasicrystals. Zbl 0972.52013
Baake, Michael; Moody, Robert V.
2000
Diffraction of random tilings: some rigorous results. Zbl 1101.82345
Baake, Michael; Höffe, Moritz
2000
A guide to quasicrystal literature. Zbl 0968.52014
Baake, Michael; Grimm, Uwe
2000
Invaded cluster algorithm for critical properties of periodic and aperiodic planar Ising models. Zbl 0951.82015
Redner, Oliver; Baake, Michael
2000
A note on palindromicity. Zbl 0999.81019
Baake, Michael
1999
Similarity submodules and root systems in four dimensions. Zbl 0990.11070
Baake, Michael; Moody, Robert V.
1999
Limit-(quasi)periodic point sets as quasicrystals with $$p$$-adic internal spaces. Zbl 0910.52018
Baake, Michael; Moody, Robert V.; Schlottmann, Martin
1998
Diffractive point sets with entropy. Zbl 0954.82009
Baake, Michael; Moody, Robert V.
1998
Random tilings: Concepts and examples. Zbl 0949.52006
Richard, C.; Höffe, M.; Hermisson, J.; Baake, M.
1998
Similarity submodules and semigroups. Zbl 0959.52017
Baake, Michael; Moody, Robert V.
1998
The torus parametrization of quasiperiodic LI-classes. Zbl 0919.52015
Baake, Michael; Hermisson, Joachim; Pleasants, Peter A. B.
1997
Reversing symmetry group of $$\text{Gl}(2,\mathbb{Z})$$ and $$\text{PGl}(2,\mathbb{Z})$$ matrices with connections to cat maps and trace maps. Zbl 1001.37500
Baake, Michael; Roberts, John A. G.
1997
A guide to the symmetry structure of quasiperiodic tiling classes. Zbl 0943.52501
Hermisson, J.; Richard, C.; Baake, M.
1997
Solution of the coincidence problem in dimensions $$d\leq 4$$. Zbl 0883.20020
Baake, Michael
1997
Coordination sequences for root lattices and related graphs. Zbl 0921.05058
Baake, M.; Grimm, U.
1997
The entropy of square-free words. Zbl 1185.68502
Baake, M.; Elser, V.; Grimm, U.
1997
Aperiodic Ising models. Zbl 0901.60078
Grimm, Uwe; Baake, Michael
1997
Aperiodic Ising quantum chains. Zbl 1019.82006
Hermisson, Joachim; Grimm, Uwe; Baake, Michael
1997
Combinatorial aspects for colour symmetries. Zbl 1029.11504
Baake, Michael
1997
Lee-Yang zeros in the scaling region of a two-dimensional quasiperiodic Ising model. Zbl 0935.82005
Simon, Harald; Baake, Michael
1997
A critical Ising model on the labyrinth. Zbl 1264.82017
Baake, Michael; Grimm, Uwe; Baxter, Rodney J.
1996
...and 21 more Documents
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#### Cited by 556 Authors

 56 Baake, Michael 23 Lenz, Daniel H. 18 Grimm, Uwe 16 Frettlöh, Dirk 14 Strungaru, Nicolae 12 Baake, Ellen 12 Damanik, David 10 Huck, Christian 10 Moody, Robert Vaughan 10 Richard, Christoph 9 Gähler, Franz 9 Lee, Jeong-Yup 9 Pelantová, Edita 8 Kellendonk, Johannes 8 Zamboni, Luca Quardo 6 Akiyama, Shigeki 6 Escudero, Juan García 6 Roberts, John Anthony Gerard 6 Solomyak, Boris 6 Spindeler, Timo 6 Yessen, William N. 5 Haynes, Alan K. 5 Julien, Antoine 4 Berthé, Valérie 4 Brlek, Srečko 4 Coons, Michael 4 de las Penas, Ma. Louise Antonette N. 4 Glen, Amy 4 Gorodetski, Anton 4 Lamb, Jeroen S. W. 4 Mañibo, Neil 4 Masáková, Zuzana 4 Meiss, James D. 4 Priebe Frank, Natalie 4 Sadun, Lorenzo A. 4 Sirvent, Víctor F. 4 Stollmann, Peter 4 van Enter, Aernout C. D. 3 Ambrož, Petr 3 Artamonov, Vyacheslav Aleksandrovich 3 Balková, L’ubomíra 3 Bucci, Michelangelo 3 Cassaigne, Julien 3 De Luca, Alessandro 3 Fernique, Thomas 3 Fillman, Jake 3 Frid, Anna Èduardovna 3 Garber, Alexeĭ Igorevich 3 Heuer, Manuela 3 Oertel-Jäger, Tobias Hendrik 3 Keller, Gerhard 3 Kesseböhmer, Marc 3 Koca, Mehmet 3 Koca, Nazife Ozdes 3 Koivusalo, Henna 3 Labbé, Sébastien 3 Mosbach, Arne 3 Puzynina, Svetlana 3 Rampersad, Narad 3 Samuel, Tony 3 Savinien, Jean 3 Starosta, Štěpán 3 Steffens, Malte 3 Tan, Bo 3 Terauds, Venta 3 Twarock, Reidun 3 Zeiner, Peter 2 Au-Yang, Helen 2 Aujogue, Jean-Baptiste 2 Balasubramanian, Krishnan 2 Bandt, Christoph 2 Barbé, André M. 2 Barge, Marcy M. 2 Bianchi, Gabriele 2 Boulton, Lyonell S. 2 Bowers, Philip L. 2 Brace, Daniel 2 Bufetov, Aleksandr Igorevich 2 Byszewski, Jakub 2 Cellarosi, Francesco 2 Chan, Lax 2 Charlier, Emilie 2 Cornelissen, Gunther 2 Deng, Xinghua 2 Eschenburg, Jost-Hinrich 2 Fernández Pérez, José Luis 2 Fici, Gabriele 2 García del Moral, María Pilar 2 Gohlke, Philipp 2 Gómez, Amalia 2 Gouéré, Jean-Baptiste 2 Gritzmann, Peter 2 Halpern, Martin B. 2 Harriss, Edmund Orme 2 Hempel, Rainer 2 Huang, Yunbao 2 I, Tomohiro 2 Imai, Katsunobu 2 Inenaga, Shunsuke 2 Iommi Amunatégui, Godofredo ...and 456 more Authors
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#### Cited in 147 Serials

 29 Theoretical Computer Science 25 Journal of Statistical Physics 19 Journal of Mathematical Physics 17 Ergodic Theory and Dynamical Systems 14 Discrete & Computational Geometry 13 Monatshefte für Mathematik 13 European Journal of Combinatorics 12 Communications in Mathematical Physics 12 Discrete and Continuous Dynamical Systems 10 Acta Crystallographica. Section A 9 Nuclear Physics. B 8 Indagationes Mathematicae. New Series 7 Annales de l’Institut Fourier 7 Advances in Applied Mathematics 6 Journal of Mathematical Analysis and Applications 6 Journal of Mathematical Biology 6 Journal of Geometry and Physics 6 Journal of Functional Analysis 6 Annales Henri Poincaré 5 International Journal of Modern Physics B 5 Physica D 5 Symmetry 4 Discrete Mathematics 4 The Mathematical Intelligencer 4 Advances in Mathematics 4 Journal of Combinatorial Theory. Series A 4 Proceedings of the American Mathematical Society 4 Transactions of the American Mathematical Society 4 Journal of Mathematical Chemistry 4 RAIRO. Theoretical Informatics and Applications 4 Journal of High Energy Physics 4 Proceedings of the Steklov Institute of Mathematics 3 Bulletin of the Australian Mathematical Society 3 Discrete Applied Mathematics 3 Israel Journal of Mathematics 3 Letters in Mathematical Physics 3 Physica A 3 Chaos, Solitons and Fractals 3 Memoirs of the American Mathematical Society 3 The Journal of Fourier Analysis and Applications 2 International Journal of Modern Physics A 2 Journal d’Analyse Mathématique 2 Studia Mathematica 2 Bulletin of Mathematical Biology 2 Acta Arithmetica 2 Duke Mathematical Journal 2 Geometriae Dedicata 2 Inventiones Mathematicae 2 Journal of Algebra 2 Journal of Geometry 2 Journal of Number Theory 2 Mathematische Zeitschrift 2 Siberian Mathematical Journal 2 Topology and its Applications 2 International Journal of Foundations of Computer Science 2 Journal of Elasticity 2 Advances in Applied Clifford Algebras 2 Documenta Mathematica 2 Conformal Geometry and Dynamics 2 Journal of the European Mathematical Society (JEMS) 2 Communications in Nonlinear Science and Numerical Simulation 2 Algebraic & Geometric Topology 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Discrete Algorithms 2 International Journal of Geometric Methods in Modern Physics 2 Oberwolfach Reports 2 Journal of Physics A: Mathematical and Theoretical 2 Journal of Spectral Theory 1 Modern Physics Letters A 1 Modern Physics Letters B 1 Communications in Algebra 1 International Journal of Theoretical Physics 1 Information Processing Letters 1 Mathematical Methods in the Applied Sciences 1 Mathematical Notes 1 Nonlinearity 1 Physics Letters. A 1 Physics Reports 1 Reviews of Modern Physics 1 Mathematics of Computation 1 Reviews in Mathematical Physics 1 Theory of Probability and its Applications 1 Beiträge zur Algebra und Geometrie 1 Bulletin of the London Mathematical Society 1 Canadian Journal of Mathematics 1 Journal of Approximation Theory 1 Journal of Differential Equations 1 Journal of the Korean Mathematical Society 1 Journal of the London Mathematical Society. Second Series 1 Kybernetes 1 Michigan Mathematical Journal 1 Nagoya Mathematical Journal 1 Osaka Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Theoretical Population Biology 1 Acta Mathematica Hungarica 1 Information and Computation 1 Journal of the American Mathematical Society 1 Aequationes Mathematicae 1 L’Enseignement Mathématique. 2e Série ...and 47 more Serials
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#### Cited in 51 Fields

 149 Dynamical systems and ergodic theory (37-XX) 134 Convex and discrete geometry (52-XX) 74 Computer science (68-XX) 72 Statistical mechanics, structure of matter (82-XX) 65 Number theory (11-XX) 46 Quantum theory (81-XX) 39 Group theory and generalizations (20-XX) 36 Probability theory and stochastic processes (60-XX) 34 Measure and integration (28-XX) 33 Combinatorics (05-XX) 32 Biology and other natural sciences (92-XX) 21 Operator theory (47-XX) 20 Harmonic analysis on Euclidean spaces (42-XX) 17 Ordinary differential equations (34-XX) 16 Abstract harmonic analysis (43-XX) 14 Topological groups, Lie groups (22-XX) 11 Functional analysis (46-XX) 10 Partial differential equations (35-XX) 8 Geometry (51-XX) 7 Differential geometry (53-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Optics, electromagnetic theory (78-XX) 6 Relativity and gravitational theory (83-XX) 5 Algebraic geometry (14-XX) 5 Nonassociative rings and algebras (17-XX) 5 Special functions (33-XX) 5 General topology (54-XX) 5 Algebraic topology (55-XX) 4 Mechanics of deformable solids (74-XX) 3 Real functions (26-XX) 3 Functions of a complex variable (30-XX) 3 Difference and functional equations (39-XX) 3 Manifolds and cell complexes (57-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Mechanics of particles and systems (70-XX) 3 Information and communication theory, circuits (94-XX) 2 General and overarching topics; collections (00-XX) 2 $$K$$-theory (19-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 General algebraic systems (08-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral transforms, operational calculus (44-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Fluid mechanics (76-XX) 1 Systems theory; control (93-XX)