A symmetry group of a Thue-Morse quasicrystal

Journal of Physics A: Mathematical and General

Volumn 31, Issue 23, 1998, Pages

  Gazeau, Jean Pierre ^a   Miȩkisz, Jacek ^b  

^a UNIVERSITÉ PIERRE ET MARIE CURIE   (France)

^b UNIVERSITY OF WARSAW   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032510938     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/31/23/001     Document Type: Article

References (23)

1. Barache D, de Bievre S and Gazeau J P 1994 Europhys. Lett. 25 435
2. Barache D, Champagne B and Gazeau J P 1998 Pisot-cyclotomic quasilattices and their symmetry semigroups Quasicrystals and Geometry (The Fields Institute for Research in Mathematical Sciences Monograph Series) ed J Patera (Providence, RI: American Mathematical Society) to appear
3. Grünbaum B and Shephard G C 1986 Tilings and Patterns (New York: Freeman)
4. Connes A 1994 Noncommutative Geometry (New York: Academic)
5. Prouhet E 1851 C. R. Acad Sci. 33 31
6. Thue A 1906 Norske vid Selsk. Skr. I. Mat. Nat. Kl Christiana 7 1 Thue A 1912 Norske vid. Selsk, Skr. I. Mat. Nat. Kl. Christiana 13 1 (reprinted 1977 in Selected Mathematical Papers of Axel Thue (Oslo, Universitetsforlaget) pp 139, 413)
7. Thue A 1906 Norske vid Selsk. Skr. I. Mat. Nat. Kl Christiana 7 1 Thue A 1912 Norske vid. Selsk, Skr. I. Mat. Nat. Kl. Christiana 13 1 (reprinted 1977 in Selected Mathematical Papers of Axel Thue (Oslo, Universitetsforlaget) pp 139, 413)
8. Thue A 1906 Norske vid Selsk. Skr. I. Mat. Nat. Kl Christiana 7 1 Thue A 1912 Norske vid. Selsk, Skr. I. Mat. Nat. Kl. Christiana 13 1 (reprinted 1977 in Selected Mathematical Papers of Axel Thue (Oslo, Universitetsforlaget) pp 139, 413)
9. Morse M 1921 Trans. Amer. Math. Soc 22 84
10. Kakutani S 1967 Proc. 5th Berkeley Symp. on Mathematics Statistics and Probability II 405 4414
11. Keane M 1968 Z. Wahrscheinlichkeitstheor. Verwandte Geb. 10 335
12. Gardner C, Miȩkisz J, Radin C and van Enter A C D 1989 J. Phys. A: Math. Gen. 22 L1019
13. van Enter A C D and Miȩkisz J 1990 Commun. Math. Phys. 134 647
14. van Enter A C D, Miȩkisz J and Zahradnik M 1998 Nonpenodic long-range order for fast decaying interactions at positive temperatures J. Stat Phys. to appear
15. Merlin R, Bajema K, Nagle J and Ploog K 1987 J. Physique 48 503
16. Axel F and Terauchi H 1991 Phys. Rev. Lett. 66 2223
17. van Enter A C D, Hof A and Miȩkisz J 1992 J Phys. A: Math. Gen. 25 L1133
18. van Enter A C D and Miȩkisz J 1992 J. Stat. Phys 66 1147
19. Hornquist M 1997 J. Phys. A: Math. Gen. 30 7057
20. Bak P and Bruinsma R 1982 Phys. Rev. Lett. 49 249
21. Aubry S 1983 J. Phys. C: Solid State Phys. 16 2497
22. Miȩkisz J 1998 J Stat. Phys. 90 285
23. Senechal M 1989 A brief introduction to tilings Introduction to the Mathematics of Quasicrystals vol 2, ed M Jarić (New York: Academic)