Zobrazeno 1 - 10
of 466
pro vyhledávání: '"BAAKE M"'
Publikováno v:
Z. Kristallogr. 223 (2008) 770-772
The groups of similarity and coincidence rotations of an arbitrary lattice L in d-dimensional Euclidean space are considered. It is shown that the group of similarity rotations contains the coincidence rotations as a normal subgroup. Furthermore, the
Externí odkaz:
http://arxiv.org/abs/0808.0109
Autor:
Baake, M., Zeiner, P.
Publikováno v:
Phil. Mag. 88 (2008), 2025-2032
The coincidence site lattices (CSLs) of prominent 4-dimensional lattices are considered. CSLs in 3 dimensions have been used for decades to describe grain boundaries in crystals. Quasicrystals suggest to also look at CSLs in dimensions $d>3$. Here, w
Externí odkaz:
http://arxiv.org/abs/0712.0363
Publikováno v:
Acta Cryst. A62 (2006), 419-433
Discrete tomography is a well-established method to investigate finite point sets, in particular finite subsets of periodic systems. Here, we start to develop an efficient approach for the treatment of finite subsets of mathematical quasicrystals. To
Externí odkaz:
http://arxiv.org/abs/math/0609393
Publikováno v:
J. Math. Biol. 50 (2005), 83--114
Recent work on mutation-selection models has revealed that, under specific assumptions on the fitness function and the mutation rates, asymptotic estimates for the leading eigenvalue of the mutation-reproduction matrix may be obtained through a low-d
Externí odkaz:
http://arxiv.org/abs/q-bio/0311020
Publikováno v:
in: H.-R. Trebin (ed.), Quasicrystals: Structure and Physical Properties, Wiley-VCH, Berlin (2003), pp. 188-207.
This review revolves around the question which general distribution of scatterers (in a Euclidean space) results in a pure point diffraction spectrum. Firstly, we treat mathematical diffration theory and state conditions under which such a distributi
Externí odkaz:
http://arxiv.org/abs/math-ph/0301019
Publikováno v:
J. Phys A: Math. Gen. 23, (1990) L1037-L1041
It is shown how root lattices and their reciprocals might serve as the right pool for the construction of quasicrystalline structure models. All non-periodic symmetries observed so far are covered in minimal embedding with maximal symmetry.
Comm
Comm
Externí odkaz:
http://arxiv.org/abs/cond-mat/0006062
Publikováno v:
Int. J. Mod. Phys. B 8 (1994) 3579-3600
A zero-field Ising model with ferromagnetic coupling constants on the so-called Labyrinth tiling is investigated. Alternatively, this can be regarded as an Ising model on a square lattice with a quasi-periodic distribution of up to eight different co
Externí odkaz:
http://arxiv.org/abs/solv-int/9902009
Autor:
Baake, M., Moody, R. V.
Publikováno v:
J. Phys. A 31: Math. Gen. (1998) 9023 - 9039
After a brief historical survey, the paper introduces the notion of entropic model sets (cut and project sets), and, more generally, the notion of diffractive point sets with entropy. Such sets may be thought of as generalizations of lattice gases. W
Externí odkaz:
http://arxiv.org/abs/math-ph/9809002
Publikováno v:
J. Stat. Phys. 78 (1995) 285
The study of zeros of partition functions, initiated by Yang and Lee, provides an important qualitative and quantitative tool in the study of critical phenomena. This has frequently been used for periodic as well as hierarchical lattices. Here, we co
Externí odkaz:
http://arxiv.org/abs/cond-mat/9311017
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