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Crespo Crespo, C.; Ponteville, Ch.; de Spinadel, V.W. "Divisibility and cellular automata" (1995) Chaos, Solitons and Fractals. 6(C):105-112
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Abstract:

Cellular automata (CA) are perfect feedback machines which change the state of their cells step by step. In a certain sense, Pascal's triangle was the first CA and there is a strong connection between Pascal's triangle and the fractal pattern formation known as Sierpinski gasket. Generalizing divisibility properties of the coefficients of Pascal's triangle, binomial arrays as well as gaussian arrays are evaluated mod p. In these arrays, two fractal geometric characteristics are evident: a) self-similarity and b) non integer dimension. The conclusions at which we arrive,as well as the conjectures we propose, are important facts to take into account when modelling real experiments like catalytic oxidation reactions in Chemistry, where the remarkable resemblance of the graph: number of entries in the kth row of the Pascal's triangle which are not divisible by 2 vs k and the measurement of the chemical reaction rate as a function of time, provides the reason to model a catalytic converter by a one-dimensional CA [4]. © 1995 Elsevier Science Ltd.

Registro:

Documento: Artículo
Título:Divisibility and cellular automata
Autor:Crespo Crespo, C.; Ponteville, Ch.; de Spinadel, V.W.
Filiación:Departamento de Matematica Facultad de Ciencias Exactas, Naturales Universidad de Buenos Aires, Argentina
Año:1995
Volumen:6
Número:C
Página de inicio:105
Página de fin:112
DOI: http://dx.doi.org/10.1016/0960-0779(95)80017-B
Título revista:Chaos, Solitons and Fractals
Título revista abreviado:Chaos Solitons Fractals
ISSN:09600779
CODEN:CSFOE
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09600779_v6_nC_p105_CrespoCrespo

Referencias:

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Citas:

---------- APA ----------
Crespo Crespo, C., Ponteville, Ch. & de Spinadel, V.W. (1995) . Divisibility and cellular automata. Chaos, Solitons and Fractals, 6(C), 105-112.
http://dx.doi.org/10.1016/0960-0779(95)80017-B
---------- CHICAGO ----------
Crespo Crespo, C., Ponteville, Ch., de Spinadel, V.W. "Divisibility and cellular automata" . Chaos, Solitons and Fractals 6, no. C (1995) : 105-112.
http://dx.doi.org/10.1016/0960-0779(95)80017-B
---------- MLA ----------
Crespo Crespo, C., Ponteville, Ch., de Spinadel, V.W. "Divisibility and cellular automata" . Chaos, Solitons and Fractals, vol. 6, no. C, 1995, pp. 105-112.
http://dx.doi.org/10.1016/0960-0779(95)80017-B
---------- VANCOUVER ----------
Crespo Crespo, C., Ponteville, Ch., de Spinadel, V.W. Divisibility and cellular automata. Chaos Solitons Fractals. 1995;6(C):105-112.
http://dx.doi.org/10.1016/0960-0779(95)80017-B