Markov stochasticity coordinates

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• 作者：Iddo Eliazar ^{iddo.eliazar@intel.com eliazar@post.tau.ac.il}
• 关键词：Inequality indices ; Stochasticity indices ; Markov dynamics ; Networks ; First passage times ; Socioeconomic equality and mobility
• 刊名：Annals of Physics
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：376
• 期：Complete
• 页码：108-125
• 全文大小：470 K
• 卷排序：376

文摘

Markov dynamics constitute one of the most fundamental models of random motion between the states of a system of interest. Markov dynamics have diverse applications in many fields of science and engineering, and are particularly applicable in the context of random motion in networks. In this paper we present a two-dimensional gauging method of the randomness of Markov dynamics. The method–termed Markov Stochasticity Coordinates–is established, discussed, and exemplified. Also, the method is tweaked to quantify the stochasticity of the first-passage-times of Markov dynamics, and the socioeconomic equality and mobility in human societies.