Geodesic
The $3x+1$ problem, generalized Pascal triangles and cellular automata
Mathematica slovaca, Tome 42 (1992) no. 5, pp. 547-563
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 11B83, 68Q80, 68R15 
@article{MASLO_1992_42_5_a2,
     author = {Korec, Ivan},
     title = {The $3x+1$ problem, generalized {Pascal} triangles and cellular automata},
     journal = {Mathematica slovaca},
     pages = {547--563},
     year = {1992},
     volume = {42},
     number = {5},
     mrnumber = {1202173},
     zbl = {0773.11016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MASLO_1992_42_5_a2/}
}
TY  - JOUR
AU  - Korec, Ivan
TI  - The $3x+1$ problem, generalized Pascal triangles and cellular automata
JO  - Mathematica slovaca
PY  - 1992
SP  - 547
EP  - 563
VL  - 42
IS  - 5
UR  - http://geodesic.mathdoc.fr/item/MASLO_1992_42_5_a2/
LA  - en
ID  - MASLO_1992_42_5_a2
ER  - 
%0 Journal Article
%A Korec, Ivan
%T The $3x+1$ problem, generalized Pascal triangles and cellular automata
%J Mathematica slovaca
%D 1992
%P 547-563
%V 42
%N 5
%U http://geodesic.mathdoc.fr/item/MASLO_1992_42_5_a2/
%G en
%F MASLO_1992_42_5_a2
Korec, Ivan. The $3x+1$ problem, generalized Pascal triangles and cellular automata. Mathematica slovaca, Tome 42 (1992) no. 5, pp. 547-563. http://geodesic.mathdoc.fr/item/MASLO_1992_42_5_a2/

[1] CLONEY T., GOLES C. E., VICHNIAC G. Y.: The 3x + 1 problem: A quasi-cellular automaton. Complex Systems 1 (1987), 349-360. | MR | Zbl

[2] CULIK H. K., GRUSKA J., SALOMAA A.: Systolic trellis automata. Internat. J. Comput. Math. 15 and 16 (1984), 195 -212 and 3-22. | MR | Zbl

[3] CULIK H. K., HURD L. P., YU S.: Computation theoretic aspects of cellular automata. Phys. D 45 (1990), 357-378. | MR | Zbl

[4] KOREC I.: Generalized Pascal triangles. Decidability results, Acta Math. Univ. Comen. XLVI-XLVII (1985), 93-130. | MR | Zbl

[5] KOREC I.: Generalized Pascal triangles. (Slovak), DrSc. Thesis, UK Bratislava. 1984.

[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

[7] KUIPERS L. NIEDERREITEIR H.: Uniform distribution of sequences. J. Wiley & Sons, New York, 1974. | MR

[8] LAGARIAS J. C.: The 3x + 1 problem and its generalizations. Amer. Math. Monthly 92 (1985), 3-23. | MR | Zbl

[9] WOLFRAM S.: Computation theory of cellular automata. Comm. Math. Phys. 96 (1984), 15-57. | MR | Zbl