## Baake, Michael

Compute Distance To:
 Author ID: baake.michael Published as: Baake, Michael; Baake, M. Homepage: https://www.math.uni-bielefeld.de/baake/ External Links: MGP · Math-Net.Ru · dblp
 Documents Indexed: 146 Publications since 1982, including 1 Book 8 Contributions as Editor Reviewing Activity: 213 Reviews Co-Authors: 98 Co-Authors with 140 Joint Publications 1,733 Co-Co-Authors
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### Co-Authors

 14 single-authored 36 Grimm, Uwe 13 Moody, Robert Vaughan 9 Lenz, Daniel H. 9 Roberts, John Anthony Gerard 8 Baake, Ellen 7 Gähler, Franz 7 Huck, Christian 6 Schlottmann, Martin 5 Coons, Michael 5 Hermisson, Joachim 5 Joseph, Dieter 5 Kramer, Peter 5 Pleasants, Peter A. B. 5 Zeiner, Peter 4 Damanik, David 4 Strungaru, Nicolae 3 Klitzing, Richard 3 Mañibo, Neil 3 Richard, Christoph 2 Baxter, Rodney J. 2 Birkner, Matthias 2 Frettlöh, Dirk 2 Gemünden, B. 2 Gohlke, Philipp 2 Götze, Friedrich 2 Gritzmann, Peter 2 Haynes, Alan K. 2 Heuer, Manuela 2 Höffe, Moritz 2 Langfeld, Barbara 2 Lord, Katja 2 Neumärker, Natascha 2 Oedingen, R. 2 Priebe Frank, Natalie 2 Redner, Oliver 2 Reinicke, P. 2 Rittenberg, Vladimir 2 Salamat, Majid 2 Scharlau, Rudolf 2 Sing, Bernd 2 Sumner, Jeremy G. 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 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 Krüger, Oliver S. 1 Lau, Eike 1 Leschke, Hajo 1 Löwe, Matthias 1 Mielke, Adam 1 Nickel, Andreas 1 Ottensmann, Meinolf 1 Paškūnas, Vytautas 1 Pastur, Leonid Andreevich 1 Pisani, Carmelo 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 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 5 Letters in Mathematical Physics 5 Ergodic Theory and Dynamical Systems 4 International Journal of Modern Physics B 4 Zeitschrift für Kristallographie 4 Canadian Journal of Mathematics 4 Monatshefte für Mathematik 4 Oberwolfach Reports 3 Journal of Mathematical Biology 3 Nonlinearity 3 Indagationes Mathematicae. New Series 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 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 Advances in Applied Probability 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 Michigan Mathematical Journal 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 Stochastics and Dynamics 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) 58 Convex and discrete geometry (52-XX) 55 Dynamical systems and ergodic theory (37-XX) 29 Number theory (11-XX) 26 Probability theory and stochastic processes (60-XX) 17 Group theory and generalizations (20-XX) 17 Biology and other natural sciences (92-XX) 11 Measure and integration (28-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 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 Open

123 Publications have been cited 1,229 times in 545 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
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
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
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
Deformation of Delone dynamical systems and pure point diffraction. Zbl 1084.37502
Baake, Michael; Lenz, Daniel
2005
On weak model sets of extremal density. Zbl 1364.82011
Baake, Michael; Huck, Christian; Strungaru, Nicolae
2017
Fierz identities of real Clifford algebras and the number of supercharges. Zbl 0604.22014
Baake, M.; Reinicke, P.; Rittenberg, V.
1985
Diffraction of stochastic point sets: Explicitly computable examples. Zbl 1197.82053
Baake, Michael; Birkner, Matthias; Moody, Robert V.
2010
Dynamical versus diffraction spectrum for structures with finite local complexity. Zbl 1352.37033
Baake, Michael; Lenz, Daniel; van Enter, Aernout
2015
Pair correlations of aperiodic inflation rules via renormalisation: some interesting examples. Zbl 1359.37025
Baake, Michael; Gähler, Franz
2016
Trace maps as 3D reversible dynamical systems with an invariant. Zbl 0830.58025
Roberts, John A. G.; Baake, Michael
1994
Ergodic properties of visible lattice points. Zbl 1336.37005
Baake, Michael; Huck, Christian
2015
Self-similar measures for quasicrystals. Zbl 0972.52013
Baake, Michael; Moody, Robert V.
2000
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
Squirals and beyond: substitution tilings with singular continuous spectrum. Zbl 1315.37015
Baake, Michael; Grimm, Uwe
2014
An exactly solved model for mutation, recombination and selection. Zbl 1056.92040
Baake, Michael; Baake, Ellen
2003
Trace maps, invariants, and some of their applications. Zbl 0799.22011
Baake, M.; Grimm, U.; Joseph, D.
1993
Diffraction of weighted lattice subsets. Zbl 1161.52309
Baake, Michael
2002
Structure and representation of the hyperoctahedral group. Zbl 0551.20008
Baake, M.
1984
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
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
Spectral and topological properties of a family of generalised Thue-Morse sequences. Zbl 1274.28006
Baake, Michael; Gähler, Franz; Grimm, Uwe
2012
Aperiodic order. Volume 2. Crystallography and almost periodicity. Zbl 1415.52001
2017
Reversing and extended symmetries of shift spaces. Zbl 1377.37027
Baake, Michael; Roberts, John A. G.; Yassawi, Reem
2018
Pure point diffraction implies zero entropy for Delone sets with uniform cluster frequencies. Zbl 1129.37006
Baake, Michael; Lenz, Daniel; Richard, Christoph
2007
Diffraction of random tilings: some rigorous results. Zbl 1101.82345
Baake, Michael; Höffe, Moritz
2000
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
An asymptotic maximum principle for essentially linear evolution models. Zbl 1055.92038
Baake, Ellen; Baake, Michael; Bovier, Anton; Klein, Markus
2005
A guide to the symmetry structure of quasiperiodic tiling classes. Zbl 0943.52501
Hermisson, J.; Richard, C.; Baake, M.
1997
Four-state quantum chain as a model of sequence evolution. Zbl 1072.92511
Hermisson, Joachim; Wagner, Holger; Baake, Michael
2001
Diffractive point sets with entropy. Zbl 0954.82009
Baake, Michael; Moody, Robert V.
1998
Diffraction of compatible random substitutions in one dimension. Zbl 1457.82054
Baake, Michael; Spindeler, Timo; Strungaru, Nicolae
2018
A note on palindromicity. Zbl 0999.81019
Baake, Michael
1999
Toeplitz flows and model sets. Zbl 1362.37030
Baake, M.; Jäger, T.; Lenz, D.
2016
Spectral analysis of a family of binary inflation rules. Zbl 1406.37014
Baake, Michael; Grimm, Uwe; Mañibo, Neil
2018
The singular continuous diffraction measure of the Thue-Morse chain. Zbl 1151.37012
Baake, Michael; Grimm, Uwe
2008
Similarity submodules and root systems in four dimensions. Zbl 0990.11070
Baake, Michael; Moody, Robert V.
1999
Structure and representations of the symmetry group of the four- dimensional cube. Zbl 0485.20043
Baake, M.; Gemünden, B.; Oedingen, R.
1982
Coordination sequences for root lattices and related graphs. Zbl 0921.05058
Baake, M.; Grimm, U.
1997
The general recombination equation in continuous time and its solution. Zbl 1325.34064
Salamat, Majid; Baake, Michael; Baake, Ellen
2016
Averaging almost periodic functions along exponential sequences. Zbl 1435.42004
Baake, Michael; Haynes, Alan; Lenz, Daniel
2017
Root lattices and quasicrystals. Zbl 0716.52006
Baake, M.; Joseph, D.; Kramer, P.; Schlottmann, M.
1990
Recombination semigroups on measure spaces. Zbl 1081.92028
Baake, Michael
2005
Single-crossover recombination in discrete time. Zbl 1208.92050
von Wangenheim, Ute; Baake, Ellen; Baake, Michael
2010
Symmetries and reversing symmetries of toral automorphisms. Zbl 0991.37022
Baake, Michael; Roberts, John A. G.
2001
A note on the dynamical zeta function of general toral endomorphisms. Zbl 1205.37039
Baake, Michael; Lau, Eike; Paškūnas, Vytautas
2010
Examples of substitution systems and their factors. Zbl 1336.37012
Baake, Michael; Gähler, Franz; Grimm, Uwe
2013
Erratum to: “An exactly solved model for recombination, mutation and selection”. Zbl 1231.92052
Baake, Michael; Baake, Ellen
2008
Similar sublattices of planar lattices. Zbl 1315.11055
Baake, Michael; Scharlau, Rudolf; Zeiner, Peter
2011
Solution of the coincidence problem in dimensions $$d\leq 4$$. Zbl 0883.20020
Baake, Michael
1997
SCD patterns have singular diffraction. Zbl 1067.82059
Baake, M.; Frettlöh, D.
2005
The Peano-Baker series. Zbl 1302.34012
Baake, Michael; Schlägel, Ulrike
2011
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
Fourier transform of Rauzy fractals and point spectrum of 1D Pisot inflation tilings. Zbl 1462.11060
Baake, Michael; Grimm, Uwe
2020
On the notions of symmetry and aperiodicity for Delone sets. Zbl 1351.37071
Baake, Michael; Grimm, Uwe
2012
Haldane linearisation done right: solving the nonlinear recombination equation the easy way. Zbl 1353.92064
Baake, Ellen; Baake, Michael
2016
Scaling properties of the Thue-Morse measure. Zbl 1414.37019
Baake, M.; Gohlke, P.; Kesseböhmer, M.; Schindler, T.
2019
A natural probability measure derived from Stern’s diatomic sequence. Zbl 1411.11029
Baake, Michael; Coons, Michael
2018
Periodic orbits of linear endomorphisms on the 2-torus and its lattices. Zbl 1162.37019
Baake, Michael; Roberts, John A. G.; Weiss, Alfred
2008
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
Kolakoski-$$(3, 1)$$ is a (deformed) model set. Zbl 1077.52013
Baake, Michael; Sing, Bernd
2004
Symmetries and reversing symmetries of polynomial automorphisms of the plane. Zbl 1067.37016
Baake, Michael; Roberts, John A. G.
2005
Planar coincidences for $$N$$-fold symmetry. Zbl 1015.11507
Pleasants, Peter A. B.; Baake, Michael; Roth, Johannes
1996
Discrete tomography of planar model sets. Zbl 1370.82044
Baake, Michael; Gritzmann, Peter; Huck, Christian; Langfeld, Barbara; Lord, Katja
2006
Diffraction theory of point processes: systems with clumping and repulsion. Zbl 1320.60114
Baake, Michael; Kösters, Holger; Moody, Robert V.
2015
Renormalisation of pair correlations and their Fourier transforms for primitive block substitutions. Zbl 1457.52016
Baake, Michael; Grimm, Uwe
2020
What is $$\ldots$$ aperiodic order? Zbl 1352.52028
Baake, Michael; Damanik, David; Grimm, Uwe
2016
Geometric enumeration problems for lattices and embedded $$\mathbb{Z}$$-modules. Zbl 1440.11116
Baake, Michael; Zeiner, Peter
2017
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 critical Ising model on the labyrinth. Zbl 1264.82017
Baake, Michael; Grimm, Uwe; Baxter, Rodney J.
1996
Perfect matching rules for undecorated triangular tilings with 10-, 12-, and 8-fold symmetry. Zbl 0798.52025
Klitzing, Richard; Schlottmann, Martin; Baake, Michael
1993
Coincidence rotations of the root lattice $$A_4$$. Zbl 1172.52009
Baake, Michael; Grimm, Uwe; Heuer, Manuela; Zeiner, Peter
2008
Close-packed dimers on the line: diffraction versus dynamical spectrum. Zbl 1218.82001
Baake, Michael; van Enter, Aernout
2011
Absence of singular continuous diffraction for discrete multi-component particle models. Zbl 1214.82113
Baake, Michael; Zint, Natali
2008
Similar sublattices of the root lattice $$A_4$$. Zbl 1171.11042
Baake, Michael; Heuer, Manuela; Moody, Robert V.
2008
Partition function zeros for aperiodic systems. Zbl 1080.82502
Baake, Michael; Grimm, Uwe; Pisani, Carmelo
1995
Non-periodic systems with continuous diffraction measures. Zbl 1377.42007
Baake, Michael; Birkner, Matthias; Grimm, Uwe
2015
Symmetries and reversing symmetries of area-preserving polynomial mappings in generalised standard form. Zbl 1001.57054
Roberts, John A. G.; Baake, Michael
2003
Erratum and addendum to: “The general recombination equation in continuous time and its solution”. Zbl 1326.34080
Baake, Ellen; Baake, Michael; Salamat, Majid
2016
Hexagonal inflation tilings and planar monotiles. Zbl 1351.37070
Baake, Michael; Gähler, Franz; Grimm, Uwe
2012
A note on shelling. Zbl 1039.52017
Baake, Michael; Grimm, Uwe
2003
The modified XXZ Heisenberg chain, conformal invariance and the surface exponents of $$c<1$$ systems. Zbl 0664.17013
Alcaraz, F. C.; Baake, M.; Grimm, U.; Rittenberg, V.
1989
Unequal crossover dynamics in discrete and continuous time. Zbl 1058.92031
Redner, Oliver; Baake, Michael
2004
Orbit structure and (reversing) symmetries of toral endomorphisms on rational lattices. Zbl 1288.37011
Baake, Michael; Neumärker, Natascha; Roberts, John A. G.
2013
Coincidence site modules in 3-space. Zbl 1221.52023
Baake, Michael; Pleasants, Peter; Rehmann, Ulf
2007
Planar dynamical systems with pure Lebesgue diffraction spectrum. Zbl 1230.37019
Baake, Michael; Ward, Thomas B.
2010
Combinatorial aspects for colour symmetries. Zbl 1029.11504
Baake, Michael
1997
Nonperiodic Ising quantum chains and conformal invariance. Zbl 0828.60098
Grimm, Uwe; Baake, Michael
1994
Some remarks on the visible points of a lattice. Zbl 1033.11501
Baake, M.; Grimm, U.; Warrington, D. H.
1994
Random tilings: Concepts and examples. Zbl 0949.52006
Richard, C.; Höffe, M.; Hermisson, J.; Baake, M.
1998
Fourier transform of Rauzy fractals and point spectrum of 1D Pisot inflation tilings. Zbl 1462.11060
Baake, Michael; Grimm, Uwe
2020
Renormalisation of pair correlations and their Fourier transforms for primitive block substitutions. Zbl 1457.52016
Baake, Michael; Grimm, Uwe
2020
Notes on Markov embedding. Zbl 1440.60070
Baake, Michael; Sumner, Jeremy
2020
Binary constant-length substitutions and Mahler measures of Borwein polynomials. Zbl 1461.11143
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
Scaling properties of the Thue-Morse measure. Zbl 1414.37019
Baake, M.; Gohlke, P.; Kesseböhmer, M.; Schindler, T.
2019
Reversing and extended symmetries of shift spaces. Zbl 1377.37027
Baake, Michael; Roberts, John A. G.; Yassawi, Reem
2018
Diffraction of compatible random substitutions in one dimension. Zbl 1457.82054
Baake, Michael; Spindeler, Timo; Strungaru, Nicolae
2018
Spectral analysis of a family of binary inflation rules. Zbl 1406.37014
Baake, Michael; Grimm, Uwe; Mañibo, Neil
2018
A natural probability measure derived from Stern’s diatomic sequence. Zbl 1411.11029
Baake, Michael; Coons, Michael
2018
A brief guide to reversing and extended symmetries of dynamical systems. Zbl 1403.37028
Baake, M.
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
Aperiodic order. Volume 2. Crystallography and almost periodicity. Zbl 1415.52001
2017
Averaging almost periodic functions along exponential sequences. Zbl 1435.42004
Baake, Michael; Haynes, Alan; Lenz, Daniel
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
What is $$\ldots$$ aperiodic order? Zbl 1352.52028
Baake, Michael; Damanik, David; Grimm, Uwe
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
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
Erratum to: “An exactly solved model for recombination, mutation and selection”. Zbl 1231.92052
Baake, Michael; Baake, Ellen
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
Coincidence rotations of the root lattice $$A_4$$. Zbl 1172.52009
Baake, Michael; Grimm, Uwe; Heuer, Manuela; Zeiner, Peter
2008
Absence of singular continuous diffraction for discrete multi-component particle models. Zbl 1214.82113
Baake, Michael; Zint, Natali
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
The structure of reversing symmetry groups. Zbl 1101.37030
Baake, Michael; Roberts, John A. G.
2006
Multiple planar coincidences with $$N$$-fold symmetry. Zbl 1239.11151
Baake, Michael; Grimm, Uwe
2006
Signal analysis of impulse response functions in MR and CT measurements of cerebral blood flow. Zbl 1447.92112
Rost, Evelyn; Geske, Ralf; Baake, Michael
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
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
Symmetries and reversing symmetries of area-preserving polynomial mappings in generalised standard form. Zbl 1001.57054
Roberts, John A. G.; Baake, Michael
2003
A note on shelling. Zbl 1039.52017
Baake, Michael; Grimm, Uwe
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
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
Coordination sequences for root lattices and related graphs. Zbl 0921.05058
Baake, M.; Grimm, U.
1997
Solution of the coincidence problem in dimensions $$d\leq 4$$. Zbl 0883.20020
Baake, Michael
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
Combinatorial aspects for colour symmetries. Zbl 1029.11504
Baake, Michael
1997
Aperiodic Ising quantum chains. Zbl 1019.82006
Hermisson, Joachim; Grimm, Uwe; Baake, Michael
1997
...and 23 more Documents
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### Cited by 610 Authors

 62 Baake, Michael 25 Lenz, Daniel H. 19 Grimm, Uwe 18 Strungaru, Nicolae 16 Frettlöh, Dirk 13 Baake, Ellen 13 Damanik, David 11 Huck, Christian 11 Lee, Jeong-Yup 11 Moody, Robert Vaughan 10 Gähler, Franz 10 Pelantová, Edita 10 Richard, Christoph 8 Coons, Michael 8 Kellendonk, Johannes 8 Zamboni, Luca Quardo 7 Akiyama, Shigeki 7 Mañibo, Neil 7 Solomyak, Boris 7 Spindeler, Timo 6 Escudero, Juan García 6 Roberts, John Anthony Gerard 6 Yessen, William N. 5 Haynes, Alan K. 5 Julien, Antoine 5 Masáková, Zuzana 5 Pogorzelski, Felix 5 Priebe Frank, Natalie 4 Berthé, Valérie 4 de las Penas, Ma. Louise Antonette N. 4 Fillman, Jake 4 Frid, Anna Èduardovna 4 Garber, Alexeĭ Igorevich 4 Glen, Amy 4 Gohlke, Philipp 4 Gorodetskii, Anton Semenovich 4 Oertel-Jäger, Tobias Hendrik 4 Koivusalo, Henna 4 Labbé, Sébastien 4 Meiss, James D. 4 Rampersad, Narad 4 Sadun, Lorenzo A. 4 Sirvent, Víctor F. 4 Starosta, Štěpán 4 Stollmann, Peter 4 Terauds, Venta 4 van Enter, Aernout C. D. 4 Walton, James J. 4 Zeiner, Peter 3 Alberti, Frederic 3 Ambrož, Petr 3 Artamonov, Vyacheslav Aleksandrovich 3 Balková, L’ubomíra 3 Björklund, Michael 3 Brlek, Srečko 3 Bucci, Michelangelo 3 Bufetov, Aleksandr Igorevich 3 Cassaigne, Julien 3 De Luca, Alessandro 3 Fernique, Thomas 3 Hartnick, Tobias 3 Heuer, Manuela 3 Hunton, John Robert 3 Kaboré, Idrissa 3 Keller, Gerhard 3 Kesseböhmer, Marc 3 Koca, Mehmet 3 Koca, Nazife Ozdes 3 Lamb, Jeroen S. W. 3 Mosbach, Arne 3 Puzynina, Svetlana 3 Rust, Dan 3 Samuel, Tony 3 Savinien, Jean 3 Senechal, Marjorie Wikler 3 Shallit, Jeffrey O. 3 Smilansky, Yotam 3 Solomon, Yaar 3 Steffens, Malte 3 Tan, Bo 3 Twarock, Reidun 2 Adiceam, Faustin 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 Bognini, K. Ernest 2 Boulton, Lyonell S. 2 Bowers, Philip L. 2 Brace, Daniel 2 Bustos, Álvaro 2 Byszewski, Jakub 2 Cellarosi, Francesco 2 Chan, Lax 2 Charlier, Emilie 2 Cornelissen, Gunther 2 Cortez, Maria Isabel ...and 510 more Authors
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### Cited in 172 Serials

 30 Theoretical Computer Science 25 Journal of Statistical Physics 22 Ergodic Theory and Dynamical Systems 21 Journal of Mathematical Physics 18 Discrete & Computational Geometry 14 Monatshefte für Mathematik 14 European Journal of Combinatorics 14 Discrete and Continuous Dynamical Systems 13 Communications in Mathematical Physics 10 Acta Crystallographica. Section A 9 Nuclear Physics. B 9 Indagationes Mathematicae. New Series 8 Annales Henri Poincaré 7 Journal of Mathematical Biology 7 Journal of Geometry and Physics 7 Annales de l’Institut Fourier 7 Journal of Functional Analysis 7 Advances in Applied Mathematics 6 Journal of Mathematical Analysis and Applications 6 Transactions of the American Mathematical Society 5 International Journal of Modern Physics B 5 Israel Journal of Mathematics 5 Mathematische Zeitschrift 5 Symmetry 4 Discrete Mathematics 4 Letters in Mathematical Physics 4 Physica A 4 The Mathematical Intelligencer 4 Advances in Mathematics 4 Journal of Combinatorial Theory. Series A 4 Proceedings of the American Mathematical Society 4 Physica D 4 The Electronic Journal of Combinatorics 4 Documenta Mathematica 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 Journal d’Analyse Mathématique 3 Chaos, Solitons and Fractals 3 Inventiones Mathematicae 3 Memoirs of the American Mathematical Society 3 The Journal of Fourier Analysis and Applications 3 Communications in Nonlinear Science and Numerical Simulation 3 Journal of Statistical Mechanics: Theory and Experiment 3 Oberwolfach Reports 2 International Journal of Modern Physics A 2 Studia Mathematica 2 Bulletin of Mathematical Biology 2 Acta Arithmetica 2 Duke Mathematical Journal 2 Geometriae Dedicata 2 Journal of Algebra 2 Journal of Geometry 2 Journal of Number Theory 2 Michigan Mathematical Journal 2 Siberian Mathematical Journal 2 Theoretical Population Biology 2 Topology and its Applications 2 Information and Computation 2 International Journal of Foundations of Computer Science 2 L’Enseignement Mathématique. 2e Série 2 Journal of Elasticity 2 Linear Algebra and its Applications 2 Advances in Applied Clifford Algebras 2 Conformal Geometry and Dynamics 2 Journal of the European Mathematical Society (JEMS) 2 Algebraic & Geometric Topology 2 Forma 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Discrete Algorithms 2 International Journal of Geometric Methods in Modern Physics 2 Journal of Physics A: Mathematical and Theoretical 2 RAIRO. Theoretical Informatics and Applications 2 Journal of Spectral Theory 1 Modern Physics Letters A 1 Modern Physics Letters B 1 Advances in Applied Probability 1 Communications in Algebra 1 Houston Journal of Mathematics 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 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Canadian Journal of Mathematics 1 Colloquium Mathematicum 1 Fundamenta Mathematicae ...and 72 more Serials
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### Cited in 51 Fields

 190 Dynamical systems and ergodic theory (37-XX) 163 Convex and discrete geometry (52-XX) 86 Number theory (11-XX) 84 Computer science (68-XX) 77 Statistical mechanics, structure of matter (82-XX) 51 Quantum theory (81-XX) 46 Measure and integration (28-XX) 45 Probability theory and stochastic processes (60-XX) 42 Group theory and generalizations (20-XX) 38 Combinatorics (05-XX) 36 Biology and other natural sciences (92-XX) 24 Harmonic analysis on Euclidean spaces (42-XX) 22 Operator theory (47-XX) 19 Abstract harmonic analysis (43-XX) 18 Ordinary differential equations (34-XX) 17 Topological groups, Lie groups (22-XX) 17 Functional analysis (46-XX) 11 Partial differential equations (35-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Geometry (51-XX) 8 Differential geometry (53-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 7 General topology (54-XX) 7 Relativity and gravitational theory (83-XX) 6 Mechanics of deformable solids (74-XX) 6 Optics, electromagnetic theory (78-XX) 5 Algebraic geometry (14-XX) 5 Nonassociative rings and algebras (17-XX) 5 Special functions (33-XX) 5 Algebraic topology (55-XX) 4 General and overarching topics; collections (00-XX) 4 Manifolds and cell complexes (57-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 $$K$$-theory (19-XX) 3 Real functions (26-XX) 3 Functions of a complex variable (30-XX) 3 Difference and functional equations (39-XX) 3 Statistics (62-XX) 3 Mechanics of particles and systems (70-XX) 3 Information and communication theory, circuits (94-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Fluid mechanics (76-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-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 Numerical analysis (65-XX)