Artículo
Santaló, L.A. "Mixed Random Mosaics" (1984) Mathematische Nachrichten. 117(1):129-133
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Abstract:
Cowan [2] has defined random mosaics processes RMP in R2 and has given some basic properties of them. In particular Cowan introduces the fundamental parameters α, βk, γk of the process and, in terms of them, he computes the mean values of the area α, perimeter h, number of ares w and number of vertices v of a typical polygon of the RMP. Our purpose is to consider the RMP obtained by superposition of two independent random mosaics. Then, the characteristics a12, h12, w12, v12 of the resulting process are computed in terms of the characteristics ai, hi, wi, vi, of each process. The case of non random tessellations mixed with random mosaics is also considered. Copyright © 1984 WILEY‐VCH Verlag GmbH & Co. KGaA
Registro:
| Documento: | Artículo |
| Título: | Mixed Random Mosaics |
| Autor: | Santaló, L.A. |
| Filiación: | Ciudad Universitaria (Nuñez), Departamento de Matematica, Buenos Aires, Argentina |
| Año: | 1984 |
| Volumen: | 117 |
| Número: | 1 |
| Página de inicio: | 129 |
| Página de fin: | 133 |
| DOI: | http://dx.doi.org/10.1002/mana.3211170108 |
| Título revista: | Mathematische Nachrichten |
| Título revista abreviado: | Math. Nachr. |
| ISSN: | 0025584X |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0025584X_v117_n1_p129_Santalo |
Referencias:
- Cowan, R., The use of the ergodic theorems in random geometry (1978) Advances in Applied Probability, 10, pp. 47-57
- Cowan, R., Properties of ergodic random mosaic processes (1980) Mathematische Nachrichten, 97, pp. 89-102
- Coxeter, H.S.M., (1961) Introduction to Geometry, , John Wiley, New York
- Miles, R.E., Random polygons determined by random lines in a plane, I and II (1964) Proceedings of the National Academy of Sciences, 52, pp. 901-907. , 1157, 1160
- Miles, R.E., On the homogeneous planar Poisson process (1970) Math. Biosc., 6, pp. 85-127
- Rogers, C.A., (1964) Packing and covering, , The University Press, Cambridge
- Santaló, L.A., (1976) Integral Geometry and Geometric Probability Encyclop. Math, and Appl., , Addison‐Wesley, Reading
- Santaló, L.A., (1980), pp. 3-13. , Random lines and tessellations in a plane, Stochastica, IV
Citas:
---------- APA ----------
(1984) . Mixed Random Mosaics. Mathematische Nachrichten, 117(1), 129-133.http://dx.doi.org/10.1002/mana.3211170108
---------- CHICAGO ----------
Santaló, L.A. "Mixed Random Mosaics" . Mathematische Nachrichten 117, no. 1 (1984) : 129-133.http://dx.doi.org/10.1002/mana.3211170108
---------- MLA ----------
Santaló, L.A. "Mixed Random Mosaics" . Mathematische Nachrichten, vol. 117, no. 1, 1984, pp. 129-133.http://dx.doi.org/10.1002/mana.3211170108
---------- VANCOUVER ----------
Santaló, L.A. Mixed Random Mosaics. Math. Nachr. 1984;117(1):129-133.http://dx.doi.org/10.1002/mana.3211170108
