The papers can be downloaded as pdf or gzipped postscript files.
U. Grimm, M. Baake
Squiral Diffraction
In: Aperiodic Crystals, ed. S. Schmid et al., Springer,
Dordrecht, in press
Venta Terauds, M. Baake
Some comments on the inverse problem of pure point diffraction
In: Aperiodic Crystals, ed. S. Schmid et al., Springer,
Dordrecht, in press
M. Baake, U. Grimm
Mathematical diffraction of aperiodic structures
Chem. Soc. Rev. 41 (2012), 6821-6843
M. Baake, U. Grimm A
Comment on the relation between diffraction and entropy
Entropy 14 (2012), 856-864
M. Baake, U. Grimm
Kinematic diffraction from a mathematical viewpoint
Z. Kristallogr. 226 (2011), 711-725
M. Baake, U. Grimm
Mathematical diffraction theory of deterministic and stochastic
structures: An informal summary
Mathematics of Quasi-Periodic Order, ed. S. Akiyama, RIMS
Proceedings 1725 (2011), 55-79
M. Baake, H. Kösters Random point sets and
their diffraction
Phil. Mag. 91 (2011), 2671-2679
M. Baake, U. Grimm
Diffraction of limit periodic point sets
Phil. Mag. 91 (2011), 2661-2670
M. Baake , U. Grimm
Surprises in aperiodic diffraction
J. Phys.: Conf. Ser. 226 (2010),
012023
M. Baake, U. Grimm
Can Kinematic Diffraction Distinguish Order from Disorder?
Phys. Rev. 79 (2009), 020203 (4 pages) and
80 (2009), 029903 (E)
U. Grimm, M. Baake
Homometric Point Sets and Inverse Problems
Z. Krist. 223 (2008),
777-781
M. Baake, U. Grimm
The singular continuous diffraction measure of the Thue-Morse
chain
J. Phys. A: Math. Theor. 41 (2008),
422001 (6 pages)
M. Baake, M. Birkner, R. V. Moody
Diffraction of stochastic point sets: Explicitly computable
examples
Commun. Math. Phys. 293 (2010) 611-660
M. Baake, D. Lenz, C. Richard
Pure point diffraction implies zero entropy for Delone sets with
uniform cluster frequencies
Lett. Math. Phys. 82 (2007), 61-77
T. R. Welberry, B. Sing
Deformed Penrose tilings
Phil. Mag. 87 (2007), 2877-2886
B. Sing, T. R. Welberry
Deformed model sets and distorted Penrose tilings
Z. Krist. 221 (2006), 621-634
M. Baake, U. Grimm
Homometric model sets and window covariograms
Z. Krist. 222 (2007), 54-58
M. Baake, D. Frettlöh, U. Grimm
A radial analogue of Poisson's summation formula with
applications to powder diffraction and pinwheel patterns
J. Geom. Phys. 57 (2007), 1331-1343
M. Baake, D. Frettlöh, U. Grimm
Pinwheel patterns and powder diffraction
Phil. Mag. 87 (2007), 2831-283
D. Frettlöh, B. Sing
Computing Modular Coincidences for Substitution Tilings and
Point Sets
Discr. Comput. Geom. 37 (2007), 381-407
D. Lenz, C. Richard
Pure point diffraction and cut and project schemes for measures:
the smooth case
Math. Z. 256 (2007), 347-378
M. Baake (2004)
Mathematical Diffraction in Euclidean Spaces
Lecture Notes EPFL Lausanne (pdf, size: 2.6 MB)
M. Baake, R.V. Moody (2004)
Weighted Dirac combs with pure point diffraction
J. Reine Angew. Math. (Crelle) 573 61-94. math.MG/0203030
(size: 154 kB)
Baake M, Sing B 2004
Diffraction spectrum of lattice gas models above Tc
Lett. Math. Phys. 68, 165-173; math-ph/0405064
Baake M and Sing B 2004
Kolakoski-(3,1) is a (deformed) model set
Canad. Math. Bull. 47 168-190. math.MG/0206098
(size: 575 kB)
Baake M, Moody R V, Richard C and Sing B 2003
Which distribution of matter diffracts?
Quasicrystals: Structure and Physical Properties ed:
H.-R. Trebin, Wiley-VCH, Berlin, pp. 188-207,
math-ph/0301019
(size: 100 kB)
Baake M 2002
Diffraction of weighted lattice subsets
Canad. Math. Bull. 45 483-498 math.MG/0106111
(size: 97 kB)
Baake M 2001
A glimpse at mathematical diffraction theory
Quantum theory and symmetries (Kraków, 2001),
267-272 math-ph/0203006
(size: 40 kB)
Höffe M and Baake M 2000
Surprises in Diffuse Scattering
Z. Krist. 215 (2000) 441-444 (one
minor correction), math-ph/0004022
(size: 1.7 MB)
Baake M and Höffe M 1999
Diffraction of random tilings: some rigorous results
J. Stat. Phys. 99 219-261; math-ph/9904005
(size: 370 kB)
Baake M, Moody R V and Pleasants P A B 1999
Diffraction from visible lattice points and k-th power free
integers
Discr. Math. 221 3-42, math.MG/9906132
(size: 130 kB)
Höffe M 1999
Diffraction of the Dart-Rhombus Random Tiling
Mat. Science Eng. A 294-296 373-376; math-ph/9911014
(size: 542 kB)
Baake M and Moody R V 1998
Diffractive point sets with entropy
J. Phys.
A: Math. Gen. 31 9023-39, math-ph/9809002
(size: 105 kB)
Baake M, Moody R V and Schlottmann M 1998
Limit-(quasi-)periodic point sets as quasicrystals with p-adic
internal spaces
J. Phys.
A: Math. Gen. 31 5755-65, math-ph/9901008
(size: 89 kB)
M. Baake, F. Gähler, U. Grimm Examples of substitution
systems and their factors
J. Int. Seq. 16 (2013), article
13.2.14 (18 pages)
M. Baake, U. Grimm
Squirals and beyond: Substitution tilings with singular
continuous spectrum
Ergodic Th. & Dynam. Syst. 34(2014), 1077-1102
M. Baake, A. van Enter
Close-packed dimers on the line: diffraction versus dynamical
spectrum
J. Stat. Phys. 143 (2011), 88-101
P. A. B. Pleasants, C. Huck Entropy and diffraction
of the k-free points in n-dimensional lattices
Discrete Comput. Geom.50, Issue 1 (2013),
39-68
M. Baake, E. Lau, V. Paskunas
A note on the dynamical zeta function of general toral
endomorphisms
Monatsh. Math. 161 (2009), 33-42
M. Baake, T. Ward
Planar dynamical systems with pure Lebesgue diffraction spectrum
J. Stat. Phys. 140 (2010), 90-102
M. Baake, J. A. G. Roberts, A. Weiss
Periodic orbits of linear endomorphisms on the 2-torus and its
lattices
Nonlinearity 21 (2008), 2427-2446
B. Sing, V. F. Sirvent
Geometry of the common dynamics of flipped Pisot substitutions
Monatsh. Math. 155 (2008), 431-448
K. Matzutt
Random Cluster Tessellations
Z. Krist. 223 (2008), 171-177
M. Baake, D. Lenz, R. V. Moody
Characterizations of model sets by dynamical systems
Ergodic Th. & Dynam. Syst. 27
(2007), 341-382
Baake M and Lenz D 2004
Dynamical systems on translation bounded measures: Pure point
dynamical and diffraction spectra
Ergodic Th. & Dynam. Syst. 24, 1867-1893; math.DS/0302061
(size: 133 kB)
Roberts J A G and Baake M 2003
Symmetries and reversing symmetries of area-preserving
polynomial mappings in generalised standard form
Physica A 317 95-112; math.DS/0206096
(size: 102 kB)
Baake M and Roberts J A G 2001
Symmetries and Reversing Symmetries of Toral Automorphisms
Nonlinearity
14 R1-R24, math.DS/0006092
(size: 100 kB)
Baake M 1997
Reversing symmetry groups of cat maps
in: Group 21 vol. II eds Doebner H-D, Scherer W and
Schulte C (Singapore: World Scientific) 860-4, math.DS/9911061
(size: 49 kB)
Baake M and Roberts J A G 1997
Reversing symmetry group of GL(2,Z) and PGL(2,Z) matrices with
connections to cat maps and trace maps
J. Phys.
A: Math. Gen. 30 1549-73 (size:
136 kB)
Baake M and Roberts J A G 1993
Symmetries and reversing symmetries of trace maps
to appear in Proc. of the 3rd Intern. Wigner Symp. Oxford
(1993) special issue of Int. J. Mod. Phys. B., math.DS/9901124
(size: 55 kB)
(this issue might never really appear in print ...)
M. J. Loquias, P. Zeiner The coincidence problem
for shifted lattices and multilattices
submitted in 2013
P. Zeiner Well-rounded
sublattices and coincidence site lattices
In: Aperiodic Crystals, ed. S. Schmid et al., Springer,
Dordrecht (2013)
M. Baake, R. Scharlau, P. Zeiner Similar sublattices of
planar lattices
Canad. J. Math. 63 (2011), 1220-1237
M. J. Loquias, P. Zeiner Colourings of lattices
and coincidence site lattices
Phil. Mag. 91 (2011), Issue 19-21, 2680-2689
M. Heuer, P. Zeiner
CSLs of the root lattice A4
J. Phys.: Conf. Ser. 226 (2010), doi:10.1088/1742-6596/226/1/012024
P. Zeiner
Multiplicativity in the theory of coincidence site lattices
J. Phys.: Conf. Ser. 226 (2010), doi:10.1088/1742-6596/226/1/012025
M. J. Loquias, P. Zeiner Coincidence isometries of
a shifted square lattice
J. Phys.: Conf. Ser. 226 (2010), 012026 (10 pages)
E.P. Bugarin, M.L.A.N. de las Peñas, D. Frettlöh Perfect colourings
of cyclotomic integers
Geometriae Dedicata 162, Issue 1 (2013), 271-282
J. Nilsson
On the Entropy of Random Fibonacci Words
Monatsh. Math. 168, Issue 3-4 (2012), 563-577
M. Baake, N. Neumärker
A note on the relation between fixed point and orbit count
sequences
J. Integer Seq. 12 (2009), article 09.4.4 (12 pages)
C. Huck
Uniqueness in Discrete Tomography of Delone Sets with Long-Range
Order
Discrete Comput. Geom. 42 (2009), 740-758
C. Huck
A Note on Coincidence Isometries of Modules in Euclidean Space
Z. Krist. 224 (2009), 341-344
C. Huck
On the Existence of $U$-Polygons of Class $c\geq 4$ in Planar
Point Sets
Discrete Math. 309 (2009), 4977-4981
U. Schwerdtfeger
Exact solution of two classes of prudent polygons
European J. Combin. 31 (2010), 765-779
U. Schwerdtfeger
Volume Laws for Boxed Plane Partitions and Area Laws for Ferrers
Diagrams
Discrete Math. Theor. Comput. Sci. Proc. AI
(2008), 531-540
D. Frettlöh
Counting perfect colourings of plane regular tilings
Z. Krist. 223 (2008), 773-776
C. Richard, I. Jensen, A. J. Guttmann
Area distribution and scaling function for punctured polygons
Electronic J. Comb. 15, no. R53 (2008)
C. Richard, U. Schwerdtfeger, B. Thatte
Area limit laws for symmetry classes of staircase polygons
Combin. Probab. Comput. 19 (2010), 441-461
M. Heuer
Similar sublattices and coincidence rotations of the root
lattice A4 and its dual
Z. Krist. 223 (2008), 817-821
S. Glied, M. Baake
Similarity versus Coincidence Rotations of Lattices
Z. Krist. 223, (2008), 770-772
M. Baake, P. Zeiner
Coincidences in 4 dimensions
Phil. Mag. 88 (2008), 2025-2032
M. Baake, U. Grimm, M. Heuer, P. Zeiner
Coincidence rotations of the root lattice A4
Europ. J. Combin. 29 (2008), 1808-1819
C. Huck
Discrete Tomography of Icosahedral Model Sets
Acta Cryst. A65 (2009), 240-248
D. Frettlöh
Self-Dual Tilings with Respect to Star-Duality
Theoret. Comp. Sci. 391 (2008), 39-50
P. Müller, C. Richard
Ergodic properties of randomly coloured point sets
Canad. J. Math. 65 (2013), 349-402
M. Baake, M. Heuer, R. V. Moody
Similar sublattices of the root lattice A4
J. Algebra 320 (2008), 1391-1408
M. Baake, P. A. B. Pleasants, U. Rehmann
Coincidence site modules in 3-space
Discr. Comput. Geom. 38 (2007), 111-138
M. Baake, J. A. G. Roberts
The structure of reversing symmetry groups
Bull. Austr. Math. Soc. 73 (2006), 445-459
M. Baake Solution of the coincidence problem in dimensions d &\le; 4
M. Baake, U. Grimm
Multiple planar coincidences with N-fold symmetry
Z. Krist. 221 (2006), 571-581
Baake M and Grimm U 2003
A note on shelling
Discrete Comput. Geom. 30, 573-589; math.MG/0203025
(size: 207 kB)
Allouche J-P, Baake M, Cassaigne J and Damanik D 2003
Palindrome complexity
dedicated to Jean Berstel for his 60th birthday, Theoret.
Comput. Sci., 292 9-31 math.CO/0106121
(size: 29 kB)
Baake M 1999
A note on palindromicity
Lett. Math. Phys. 49 217-227, math-ph/9907011
(size: 50 kB)
Baake M and Moody R V 1999
Similarity submodules and root systems in four dimensions
Can. J. Math. 51 1258-1276, math.MG/9904028
(size:120 kB)
Baake M and Moody R V 1998
Similarity submodules and semigroups
in: Quasicrystals and Discrete Geometry ed Patera J
Fields Institute Monographs, vol. 10 AMS, Providence, RI (1998) pp
1-13 (size: 86 kB)
Baake M and Moody R V 1998
Invariant submodules and semigroups of self-similarities for
Fibonacci modules
in: Aperiodic '97 ed Verger-Gaugry J-L, Singapore: World
Scientific (1998) pp 21-27, math-ph/9809008
(size: 56 kB)
Baake M, Elser V and Grimm U 1997
The entropy of square-free words
Mathl. Comput. Modelling 26 13-26, math-ph/9809010
(size: 71 kB)
M. Baake, F. Gähler, U. Grimm Hexagonal inflation
tilings and planar monotiles
Symmetry 4 (2012), 581-602
M. Baake, M. Moll
Random noble means substitutions
In: Aperiodic Crystals, ed. S. Schmid et al., Springer, Dordrecht (2013), pp 19-27
M. Baake, U. Grimm On
the notions of symmetry and aperiodicity for Delone sets
Symmetry 4 (2012), 566-580
M. Baake, F. Gähler, U. Grimm Spectral and topological
properties of a family of generalised Thue-Morse sequences
J. Math. Phys. 53 (2012), 032701 (24 pages)
D. Frettlöh
A fractal fundamental domain with 12-fold symmetry
Symmetry 22, Issue 1-2 (2011), 237-246
F. Gähler
MLD Relations of Pisot Substitution Tilings
J. Phys.: Conf. Ser. 226 (2010),
012020
D. Frettlöh
About substitution tilings with statistical circular symmetry
Phil. Mag. 88 (2008), 2033-2039
N. Dolbilin, D. Frettlöh
Properties of Generalized Böröczki Tilings
European J. Combin. 31 (2010) 1181-1195
D. Frettlöh, R. Lück
Ten colours in quasiperiodic and regular hyperbolic tilings
Z. Krist. 223 (2008), 782-784
D. Frettlöh, A.Glazyrin
The lonely vertex problem
Beiträge Algebra Geom. 50 (2009), 71-79
C. Huck
A note on affinely regular polygons
European J. Combin. 30 (2009), 387-395
D. Frettlöh
Substitution Tilings with Statistical Circular Symmetry
European J. Combin. 29 (2008), 1881-1893
C. Huck
Uniqueness in Discrete Tomography of Planar Model Sets
Christian Huck, "Discrete Tomography of Delone Sets with
Long-Range Order", Ph.D. Thesis, Universität Bielefeld,
Logos Verlag, Berlin (2007)
M. Baake, C. Huck
Discrete Tomography of Penrose Model Sets
Phil. Mag. 87 (2007), 2839-2846
B. Sing
Iterated Function Systems in Mixed Euclidean and p-adic Spaces
Complexus Mundi - Emergent Patterns in Nature (2006),
267-276
M. Baake, P. Gritzmann, C. Huck, B. Langfeld, K. Lord
Discrete Tomography of Planar Model Sets
Acta Cryst. A 62 (2006), 419-433
D. Frettlöh
Duality of Model Sets Generated by Substitutions
Rev. Roum. Math. Pures Appl. 50 (2005),
619-639
P. Zeiner
Multiple CSLs for the body centered cubic lattice
J. Phys: Conf. Ser. 30 (2006), 163-167
P. Zeiner
Coincidences of hypercubic lattices in 4 dimensions
Z. Krist. 221 (2006), 105-114
Baake M and Grimm U 2004
Bravais colourings of planar modules with N-fold
symmetry
Z. Krist. 219, 72-80. math.CO/0301021
(size: 71 kB)
Baake M and Grimm U 2003
Combinatorial problems of (quasi-)crystallography
In: Quasicrystals, ed. Trebin H.R., Wiley VCH, Weinheim 2003, pp.
160-171
Baake M, Grimm U and Moody R V 2002
What is aperiodic order?
Preprint, math.HO/0203252
(size: 617 kB)
Baake M and Moody R V 2000
Self-Similar Measures for Quasicrystals
in: Directions in Mathematical Quasicrystals eds Baake M
and Moody R V
CRM Monograph Series, AMS, Providence, RI (2000), math.MG/0008063
(size: 290 kB)
Schlottmann M 2000
Generalized Model Sets and Dynamical Systems
in: Directions in Mathematical Quasicrystals eds Baake M
and Moody R V
CRM Monograph Series, AMS, Providence, RI (2000) in press (size:
100 kB)
Richard C 1999 An
alternative view on quasicrystalline random tilings
J. Phys.
A: Math. Gen. 32 8823-8829, cond-mat/9907262
(size: 60 kB)
Baake M 1998 A
Guide to Mathematical Quasicrystals
in: Quasicrystals eds Suck J-B, Schreiber M and
Häußler P (Berlin: Springer) (2002), pp 17-48
math-ph/9901014
(size: 418 kB)
Baake M and Gähler F 1998
Symmetry structure of the Elser-Sloane quasicrystal
in: Aperiodic '97 ed Verger-Gaugry J-L, Singapore: World
Scientific (1998) pp 63-67,
cond-mat/9809100
(size: 47 kB)
Baake M and Moody R V 1998
Multi-component model sets and invariant densities
in: Aperiodic '97 ed Verger-Gaugry J-L, Singapore: World
Scientific (1998) pp 9-20,
math-ph/9809005
(size: 617 kB)
Baake M and Moody R V 1998
Self-similarities and invariant densities for model sets
in: Algebraic Methods and Theoretical Physics ed Aubin Y
St (New York: Springer) (2001), pp 1-15
math-ph/9809006
(size: 135 kB)
Richard C, Höffe M, Hermisson J and Baake M 1998
Random tilings: concepts and examples
J. Phys.
A: Math. Gen. 31 6385-408, cond-mat/9712267
(size: 2.1 MB)
Schlottmann M 1998
Cut-and-Project Sets in Locally Compact Abelian Groups
in: Quasicrystals and Discrete Geometry ed Patera J
Fields Institute Monographs, vol. 10 AMS, Providence, RI (1998) pp
247-264 (size: 105 kB)
Baake M 1997
Combinatorial aspects of colour symmetries
J. Phys.
A: Math. Gen. 30 2687-98, mp_arc/02-323
(size: 85 kB)
Baake M, Hermisson J and Pleasants P A B 1997
The torus parametrization of quasiperiodic LI-classes
J. Phys.
A: Math. Gen. 30 3029-56, mp_arc/02-168
(size: 211 kB)
Hermisson J, Richard C and Baake M 1997 A
guide to the symmetry structure of quasiperiodic tiling classes
J. Phys. I France 7 1003-18, mp_arc/02-180
(size: 117 kB)
M. Baake, U. Schlägel
The Peano-Baker series
Proceedings of the Steklov Institute of Mathematics
275 (2011), 155-159
U. von Wangenheim, E. Baake, M. Baake
Single-crossover recombination in discrete time
J. Math. Biol. 60 (2010), 727-760
Redner O 2004
Discrete Approximation of non-compact operators describing
continuum-of-alleles models
Proc.
Edinb. Math. Soc. 47 449-472, math.SP/0301024
(size: 238 kB)
Redner O and Baake M 2004
Unequal crossover dynamics in discrete and continuous time
J.
Math. Biol. 49 201-226, math.DS/0402351
(size: 134 kB)
Hermisson J, Redner O, Wagner H and Baake E 2002
Mutation-selection balance: ancestry, load, and maximum
principle
Theor. Pop. Biol. 62 9-46, cond-mat/0202432
(size: 271 kB)
Baake M and Baake E 2003 An
exactly solved model for mutation, recombination and selection
Canad. J. Math. 55 3-41 (size: 161 kB)
Hermisson J, Wagner H and Baake M 2000
Four-state quantum chain as a model of sequence evolution
J. Stat. Phys. 102 315-43, cond-mat/0008123
(size: 142 kB)
Baake E, Baake M and Wagner H 1998
Quantum mechanics versus classical probability in biological
evolution
Phys.
Rev. E 57 1191-2 (size: 46 kB)
Wagner H, Baake E and Gerisch T 1998
Ising quantum chain and sequence evolution
J. Stat. Phys. 92 1017-52 (size:
356 kB)
Baake E, Baake M and Wagner H 1997 The
Ising quantum chain is equivalent to a model of biological
evolution
Phys.
Rev. Lett. 78 559-62 (size:
64 kB) and (Erratum)
Phys.
Rev. Lett. 79 1782 (size:
22 kB)
M. Baake, N. Neumärker, J. A. G. Roberts Orbit structure and
(reversing) symmetries of toral endomorphisms on rational
lattices
Discr. Cont. Dynam. Syst. A 33 (2013),
527-553
C. Huck, M. Spieß
Solution of a uniqueness problem in the discrete tomography of
algebraic Delone sets
J. Reine Angew. Math. (Crelle) 677 (2013), 199-224
Hermisson J 2000
Aperiodic and correlated disorder in XY-chains: exact results
J. Phys.
A: Math. Gen. 33 57-69, cond-mat/9808238
(size: 105 kB)
Redner O and Baake M 2000
Invaded cluster algorithm for critical properties of periodic
and aperiodic planar Ising models
J. Phys.
A: Math. Gen. 33 3097-109, cond-mat/9910136
(size: 108 kB)
Hermisson J 1999
Renormalization of two-dimensional Ising systems with
irrelevant, marginal and relevant aperiodic (dis)order
Mat. Science Eng. A 294-296 642-645
(size: 67 kB)
Hermisson J and Grimm U 1998
Surface properties of Aperiodic Ising quantum chains
Phys.
Rev. B 57 673-6, cond-mat/9711096
(size: 60 kB)
Hermisson J, Grimm U and Baake M 1997
Aperiodic Ising quantum chains
J. Phys.
A: Math. Gen. 30 7315-35, cond-mat/9706106
(size: 138 kB)
Chayes L, Machta J and Redner O 1998
Graphical Representations for Ising Systems in External Fields
(size: 61 kB)
J. Stat. Phys. 93 17-32, cond-mat/9806312
(size: 62 kB)
Redner O, Machta J and Chayes L 1998
Graphical representations and cluster algorithms for critical
points with fields and figures 1
and 2
Phys.
Rev. E 58 2749-2752, cond-mat/9802063
(sizes: 38 kB, 4 kB, 4 kB)