Simple Derivation of the Lifetime and the Distribution of Faces for a Binary Subdivision Model

04/27/2015

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by   Yukio Hayashi, et al.

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The iterative random subdivision of rectangles is used as a generation model of networks in physics, computer science, and urban planning. However, these researches were independent. We consider some relations in them, and derive fundamental properties for the average lifetime depending on birth-time and the balanced distribution of rectangle faces.