Entropy and Applications of Cellular Automata
نویسندگان
چکیده
In this paper I will provide an introduction to the theory of cellular automata and review a paper by Michele D’amico, Giovanni Manzini, and Luciano Margara [3], On computing the entropy of cellular automata, in which the authors study the topological entropy of cellular automata. The main problems addressed are proving a closed form for the topological entropy of D-dimensional linear cellular automata over Zm for D = 1 and for D ≥ 2 and showing how to efficiently compute the entropy of positively expansive cellular automata. I will cover the closed form for the entropy of linear CA. Figure 1: A “pulsar” in Conway’s Game of Life.
منابع مشابه
Novel Phase-frequency Detector based on Quantum-dot Cellular Automata Nanotechnology
The electronic industry has grown vastly in recent years, and researchers are trying to minimize circuits delay, occupied area and power consumption as much as possible. In this regard, many technologies have been introduced. Quantum Cellular Automata (QCA) is one of the schemes to design nano-scale digital electronic circuits. This technology has high speed and low power consumption, and occup...
متن کاملA Novel Approach for Detecting Relationships in Social Networks Using Cellular Automata Based Graph Coloring
All the social networks can be modeled as a graph, where each roles as vertex and each relationroles as an edge. The graph can be show as G = [V;E], where V is the set of vertices and E is theset of edges. All social networks can be segmented to K groups, where there are members in eachgroup with same features. In each group each person knows other individuals and is in touch ...
متن کاملEdge Detection Based On Nearest Neighbor Linear Cellular Automata Rules and Fuzzy Rule Based System
Edge Detection is an important task for sharpening the boundary of images to detect the region of interest. This paper applies a linear cellular automata rules and a Mamdani Fuzzy inference model for edge detection in both monochromatic and the RGB images. In the uniform cellular automata a transition matrix has been developed for edge detection. The Results have been compared to the ...
متن کاملImproved Frog Leaping Algorithm Using Cellular Learning Automata
In this paper, a new algorithm which is the result of the combination of cellular learning automata and frog leap algorithm (SFLA) is proposed for optimization in continuous, static environments.At the proposed algorithm, each memeplex of frogs is placed in a cell of cellular learning automata. Learning automata in each cell acts as the brain of memeplex, and will determine the strategy of moti...
متن کاملRobot Path Planning Using Cellular Automata and Genetic Algorithm
In path planning Problems, a complete description of robot geometry, environments and obstacle are presented; the main goal is routing, moving from source to destination, without dealing with obstacles. Also, the existing route should be optimal. The definition of optimality in routing is the same as minimizing the route, in other words, the best possible route to reach the destination. In most...
متن کامل