Research Group Michael Baake: Preprints & Recent Articles

Mathematical Diffraction Theory

Dynamical Systems

Algebra, Combinatorics and Number Theory

Geometry of Aperiodic Crystals

Mathematical Biology

Aperiodic Spin Systems

Computational Physics

The papers can be downloaded as gzipped postscript files. For more recent papers (after 2004), please visit the preprint server of the CRC 701.


Mathematical Diffraction Theory

Baake M 2004 Mathematical Diffraction in Euclidean Spaces
Lecture Notes EPFL Lausanne (pdf, size: 2.6 MB)

Baake M and Moody R V 2004 Weighted Dirac combs with pure point diffraction
J. Reine Angew. Math. 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. Kristallogr. 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)


Dynamical Systems

Baake M and Lenz D 2004 Dynamical systems on translation bounded measures: Pure point dynamical and diffraction spectra
Ergodic Theory Dynam. Systems 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
Phys. 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 ...)


Algebra, Combinatorics and Number Theory

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)


Geometry of Aperiodic Crystals

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
Preprint (size: 71 kB)

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) in press, 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) in press, 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)


Mathematical Biology

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)


Aperiodic Spin Systems

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)


Computational Physics

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)


last update: 18.10.2006