Zobrazeno 1 - 10
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pro vyhledávání: '"Peter Zeiner"'
Autor:
Peter Zeiner
Publikováno v:
2019-20 MATRIX Annals ISBN: 9783030624965
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bc34e3936b0f42a054a5aa8bec125f02
https://doi.org/10.1007/978-3-030-62497-2_58
https://doi.org/10.1007/978-3-030-62497-2_58
Publikováno v:
Spectral Structures and Topological Methods in Mathematics ISBN: 9783037191972
Spectral Structures and Topological Methods in Mathematics
Spectral Structures and Topological Methods in Mathematics
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::357d2520f6a3580982a2907edbf12ec1
https://doi.org/10.4171/197-1/9
https://doi.org/10.4171/197-1/9
Autor:
Peter Zeiner
Publikováno v:
Acta Physica Polonica A. 126:641-644
We consider connections between similar sublattices and coincidence site lattices (CSLs), and more generally between similar submodules and coincidence site modules of general (free) $\mathbb{Z}$-modules in $\mathbb{R}^d$. In particular, we generalis
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::38b9de3cfc5be67d185c0e06c66265df
https://doi.org/10.12693/aphyspola.126.641
https://doi.org/10.12693/aphyspola.126.641
Autor:
Manuel Joseph C. Loquias, Peter Zeiner
Even though a lattice and its sublattices have the same group of coincidence isometries, the coincidence index of a coincidence isometry with respect to a lattice $\Lambda_1$ and to a sublattice $\Lambda_2$ may differ. Here, we examine the coloring o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::246b2051ffbbcdce422ee0d1985587f3
Autor:
Peter Zeiner
Publikováno v:
Zeitschrift für Kristallographie - Crystalline Materials. 220:915-925
We consider the symmetries of coincidence site lattices of 3-dimensional cubic lattices. This includes the discussion of the symmetry groups and the Bravais classes of the CSLs. We derive various criteria and necessary conditions for symmetry operati
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::35805c97411474eee9e945bc1d644403
https://doi.org/10.1524/zkri.2005.220.11_2005.915
https://doi.org/10.1524/zkri.2005.220.11_2005.915
A lattice in Euclidean $d$-space is called well-rounded if it contains $d$ linearly independent vectors of minimal length. This class of lattices is important for various questions, including sphere packing or homology computations. The task of enume
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4384ff6f611874dddd28de5920529889
https://doi.org/10.4064/aa166-4-1
https://doi.org/10.4064/aa166-4-1
Publikováno v:
Physical Review B. 58:7681-7688
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0b81a5adca25da40c379e21c2658bcc5
https://doi.org/10.1103/physrevb.58.7681
https://doi.org/10.1103/physrevb.58.7681
Publikováno v:
Acta Crystallographica Section A Foundations of Crystallography. 53:456-466
Left- and double-coset decompositions of space groups are systematically analysed by putting the emphasis on the introduction of special auxiliary groups. An algorithm is tailored to exploit the specific structure of space groups. The new results are
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0682cf024eedafc7d35ec6d5e6621385
https://doi.org/10.1107/s0108767397003450
https://doi.org/10.1107/s0108767397003450
Autor:
Peter Zeiner
Publikováno v:
Aperiodic Crystals ISBN: 9789400764309
A lattice is called well-rounded, if its lattice vectors of minimal length span the ambient space. We show that there are interesting connections between the existence of well-rounded sublattices and coincidence site lattices (CSLs). Furthermore, we
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::716487e5c4aa5d9908c8bc7e3a99a2e7
https://doi.org/10.1007/978-94-007-6431-6_6
https://doi.org/10.1007/978-94-007-6431-6_6