- Michael Baake, Uwe Grimm and Robert V. Moody
Die verborgene Ordnung der Quasikristalle (in German)
Spektrum der Wissenschaft (February 2002) 64-74
[Leseprobe
(excerpt)]
This article in German is based on
a manuscript entitled
What is aperiodic order?
[Preprint
math.HO/0203252]
- Uwe Grimm and Max Scheffer
Incommensurate crystals and quasicrystals
in
Encyclopedia
of Physical Science and Technology
3rd ed., edited by Robert A. Meyers
Academic Press, San Diego (2001) vol. 7, pp. 731-750
Please note:
As usual, several errors crept in
during production, and because Academic Press failed to
send us the promised page proofs prior to publications, they remained
undetected and uncorrected. In particular, the pictures of
figures 10 and 16 were
interchanged (!), so figure 10
now shows the disordered tiling, whereas
the true Penrose pentagon tiling is displayed in figure 16.
- Michael Baake and Uwe Grimm
Quasicrystalline combinatorics
to appear in
GROUP
24: Physical and Mathematical Aspects of Symmetries
edited by J.-P. Gazeau, R. Kerner, J.-P. Antoine, S. Métens
and J.-Y. Thibon
IOP Publishing (September 2003)
[Preprint
mp_arc/02-392]
- Michael Baake and Uwe Grimm
A note on shelling
to appear in Disc. Comput. Geometry
[ESI
Preprint 1279]
[Preprint
math.MG/0203025]
- Michael Baake, Uwe Grimm, Dieter Joseph, and Przemyslaw Repetowicz,
Averaged shelling for quasicrystals
Mat. Sci. Eng. A 294-296 (2000) 441-445
[Preprint
math.MG/9907156]
- Michael Baake and Uwe Grimm
Combinatorial problems of (quasi-)crystallography
in
Quasicrystals - Structure and
Physical Properties
edited by H.-R. Trebin
Wiley-VCH (2003) pp. 160-171
[ESI Preprint
1247]
[Preprint
math-ph/0212015]
- Michael Baake, Uwe Grimm, Przemyslaw Repetowicz and Dieter Joseph
Coordination sequences and critical points
in
Proceedings
of the 6th International Conference on
Quasicrystals
edited by S. Takeuchi and T. Fujiwara
World Scientific, Singapore (1998) pp. 124-127
[Preprint
cond-mat/9809110]
- Uwe Grimm and Przemyslaw Repetowicz
Partition function zeros of aperiodic Ising models
in Quantum
Theory and Symmetries
(Proceedings of the 2nd International Symposium)
edited by E. Kapuscik and A. Horzela
World Scientific, Singapore (2002) pp. 354-359
[Preprint
cond-mat/0110520]
- Uwe Grimm
Aperiodicity and disorder - Do they play a role?
in
Computational
Statistical Physics - From Billiards to Monte-Carlo
edited by K.-H. Hoffmann and M. Schreiber
Springer, Berlin (2002) pp. 191-210
[Preprint
cond-mat/0010392]
- Przemyslaw Repetowicz, Uwe Grimm and Michael Schreiber
Planar quasiperiodic Ising models
Mat. Sci. Eng. A 294-296 (2000) 638-641
[DOI:
10.1016/S0921-5093(00)01153-9]
[Preprint
cond-mat/9908088]
- Przemyslaw Repetowicz, Uwe Grimm and Michael Schreiber
High-temperature expansion for Ising models on
quasiperiodic tilings
J. Phys. A: Math. Gen. 32(24) (1999) 4397-4418
[DOI:
10.1088/0305-4470/32/24/306]
[IOP
Electronic Journals]
[Preprint
cond-mat/9901001]
- Joachim Hermisson and Uwe Grimm,
Surface properties of aperiodic Ising quantum
chains
Phys. Rev. B 57(2) (1998) R673-R676
[DOI:
10.1103/PhysRevB.57.R673]
[Physical
Review B online]
[Preprint
cond-mat/9711096]
- Michael Baake, Uwe Grimm, Przemyslaw Repetowicz and Dieter Joseph
Coordination sequences and critical points
in
Proceedings
of the 6th International Conference on
Quasicrystals
edited by S. Takeuchi and T. Fujiwara
World Scientific, Singapore (1998) pp. 124-127
[Preprint
cond-mat/9809110]
- Joachim Hermisson, Uwe Grimm and Michael Baake
Aperiodic Ising quantum chains
J. Phys. A: Math. Gen. 30 (1997) 7315-7335
[DOI:
10.1088/0305-4470/30/21/009]
[IOP
Electronic Journals]
[Preprint
cond-mat/9706106]
- Uwe Grimm and Michael Baake
Aperiodic Ising models
in The Mathematics of Long-Range Aperiodic Order
edited by R.V. Moody
Kluwer, Dordrecht (1997) pp. 199-237
[Preprint
cond-mat/9604116]
- Harald Simon, Michael Baake and Uwe Grimm
Lee-Yang zeros for substitutional systems
in Proceedings of the 5th International Conference on
Quasicrystals
edited by C. Janot and R. Mosseri
World Scientific, Singapore (1995) pp. 100-103
[Preprint
cond-mat/9902052]
- Uwe Grimm, Michael Baake and Harald Simon
Ising spins on the labyrinth
in Proceedings of the 5th International Conference on
Quasicrystals
edited by C. Janot and R. Mosseri
World Scientific, Singapore (1995) pp. 80-83
[Preprint
cond-mat/9902051]
- Michael Baake, Uwe Grimm and Carmelo Pisani
Partition function zeros for aperiodic systems
J. Stat. Phys. 78 (1995) 285-297
[Preprint
cond-mat/9311017]
BR>
- Michael Baake, Uwe Grimm and Rodney J. Baxter
A critical Ising model on the labyrinth
Int. J. Mod. Phys. B 8 (1994) 3579-3600
[Preprint
solv-int/9902009]
- Uwe Grimm and Michael Baake
Nonperiodic Ising quantum chains and conformal
invariance
J. Stat. Phys. 74 (1994) 1233-1245
[Preprint
cond-mat/9902126]
- Uwe Grimm and Michael Schreiber
Energy spectra and eigenstates of quasiperiodic
tight-binding Hamiltonians
in
Quasicrystals - Structure and
Physical Properties
edited by H.-R. Trebin
Wiley-VCH (2003) pp. 210-235
[ESI Preprint
1250]
[Preprint
cond-mat/0212140]
- Uwe Grimm, Rudolf A. Römer, Michael Schreiber and Jian-Xin Zhong
Universal level-spacing statistics in quasiperiodic
tight-binding models
Mat. Sci. Eng. A 294-296 (2000) 564-567
[DOI:
10.1016/S0921-5093(00)01173-4]
[Preprint
cond-mat/9908063]
- Michael Schreiber, Uwe Grimm, Rudolf A. Römer
and Jian-Xin Zhong
Energy levels of quasiperiodic Hamiltonians, spectral
unfolding, and random matrix theory
Comp. Phys. Commun. 121-122 (1999) 499-501
[DOI:
10.1016/S0010-4655(99)00391-4]
[Preprint
cond-mat/9811359]
- Michael Schreiber, Uwe Grimm, Rudolf A. Römer and
Jian-Xin Zhong
Application of random matrix theory to quasiperiodic
systems
Physica A 266(1-4) (1999) 477-480
[DOI:
10.1016/S0378-4371(98)00634-7]
[Physica
A online ]
[Preprint
cond-mat/9809370]
- Uwe Grimm, Rudolf A. Römer and Gudrun Schliecker
Electronic states in topologically disordered
systems
Ann. Phys. (Leipzig) 7(5-6) (1998) 389-393
[DOI:
10.1002/(SICI)1521-3889(199811)7:5/6<389::AID-ANDP389>3.0.CO;2-A]
[Annalen
der Physik online]
[Preprint
cond-mat/9811360]
- Jian-Xin Zhong, Uwe Grimm, Rudolf A. Römer and
Michael Schreiber
Level-spacing distributions of planar quasiperiodic
tight-binding models
Phys. Rev. Lett. 80 (1998) 3996-3999
[DOI:
10.1103/PhysRevLett.80.3996]
[Physical
Review Letters online]
[Preprint
cond-mat/9710006]
Uwe Grimm,
last modified on
14 September 2005