𝔖 Bobbio Scriptorium
✦   LIBER   ✦

1ƒ fluctuation in the “Game of Life”

✍ Scribed by Shigeru Ninagawa; Masaaki Yoneda; Sadaki Hirose

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
267 KB
Volume
118
Category
Article
ISSN
0167-2789

No coin nor oath required. For personal study only.

✦ Synopsis

The Fourier power spectra are examined for the Game of Life and its variants. The results show that only the Game of Life exhibits 1/f fluctuation. By means of observing patterns and measuring entropy and difference pattern spreading rate, we conclude that the Game of Life only belongs to Wolfram's class-IV cellular automata which are thought to be capable of supporting universal computation. This predicts a connection between 1If fluctuation and computational universality.

📜 SIMILAR VOLUMES

The theory of 1/ƒ noise
The theory of 1/ƒ noise
✍ M.A. Mikulinsky; S.N. Mikulinsky-Fishman 📂 Article 📅 1976 🏛 Elsevier Science 🌐 English ⚖ 946 KB
Stochastic game of life in one dimension
Stochastic game of life in one dimension
✍ Roberto A. Monetti; Ezequiel V. Albano 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 331 KB

A stochastic game of life (SGL) which simulates the dynamic evolution of a society of living organisms in the presence of noise is introduced. The SGL exhibits a very rich critical behavior with many critical edges at the irreversible phase transitions: extinction life and life overcrowding. Further