1844 , 2015-08-01 , The Institute of Electronics, Information and Communication Engineers
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.
Copyright (C) 2015 The Institute of Electronics, Information and Communication Engineers. Yukio Hayashi, IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences, E98-A(8), 2015, 1841-1844. http://www.ieice.org/jpn/trans_online/