| Title:
|
The $3x+1$ problem, generalized Pascal triangles and cellular automata (English) |
| Author:
|
Korec, Ivan |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
42 |
| Issue:
|
5 |
| Year:
|
1992 |
| Pages:
|
547-563 |
| . |
| Category:
|
math |
| . |
| MSC:
|
11B83 |
| MSC:
|
68Q80 |
| MSC:
|
68R15 |
| idZBL:
|
Zbl 0773.11016 |
| idMR:
|
MR1202173 |
| . |
| Date available:
|
2009-09-25T10:43:29Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/133269 |
| . |
| Reference:
|
[1] CLONEY T., GOLES C. E., VICHNIAC G. Y.: The 3x + 1 problem: A quasi-cellular automaton.Complex Systems 1 (1987), 349-360. Zbl 0662.10010, MR 0891956 |
| Reference:
|
[2] CULIK H. K., GRUSKA J., SALOMAA A.: Systolic trellis automata.Internat. J. Comput. Math. 15 and 16 (1984), 195 -212 and 3-22. Zbl 0571.68042, MR 0754266 |
| Reference:
|
[3] CULIK H. K., HURD L. P., YU S.: Computation theoretic aspects of cellular automata.Phys. D 45 (1990), 357-378. Zbl 0729.68052, MR 1094881 |
| Reference:
|
[4] KOREC I.: Generalized Pascal triangles.Decidability results, Acta Math. Univ. Comen. XLVI-XLVII (1985), 93-130. Zbl 0607.05002, MR 0872334 |
| Reference:
|
[5] KOREC I.: Generalized Pascal triangles.(Slovak), DrSc. Thesis, UK Bratislava. 1984. |
| Reference:
|
[6] KOREC I.: Generalized Pascal triangles.In: Proceedings of the V Universal Algebra Symposium, Turawa, Poland, May 1988 (K. Halkowska and S. Stawski, eds.), World Scientific, Singapore, 1989, pp. 198-218. MR 1084405 |
| Reference:
|
[7] KUIPERS L. NIEDERREITEIR H.: Uniform distribution of sequences.J. Wiley & Sons, New York, 1974. MR 0419394 |
| Reference:
|
[8] LAGARIAS J. C.: The 3x + 1 problem and its generalizations.Amer. Math. Monthly 92 (1985), 3-23. Zbl 0566.10007, MR 0777565 |
| Reference:
|
[9] WOLFRAM S.: Computation theory of cellular automata.Comm. Math. Phys. 96 (1984), 15-57. Zbl 0587.68050, MR 0765959 |
| . |
