The economic evolution exhibits complexity. Behind the variable and fluctuant economic data there exists basic characters and rules. One basic structure in economic evolving process called as 'J' structure is ...The economic evolution exhibits complexity. Behind the variable and fluctuant economic data there exists basic characters and rules. One basic structure in economic evolving process called as 'J' structure is studied by us. This kind of structure exists in a wide area, such as economic growth, technology innovation, international trade, education,human capital, ecology and environment etc. From the view of economic evolution, J structure has the character that system should suffer the pressure of initial investment with profit decreasing but get larger return afterwards. It is a kind of adaptation in complexe conomic systems; it reflects the adaptive and reformative ability of the system under the surrounding change. We illustrate the J structure by discussing economic growth. Based on a two-dimension dynamic system the geometric character and mechanism of J structure are studied, also the phase graphs with its condition are given. Also some further works are discussed.展开更多
We introduce the notion of entropy generating sequence for infinite words and define its dimension when it exists. We construct an entropy generating sequence for each symbolic example constructed by Cassaigne such th...We introduce the notion of entropy generating sequence for infinite words and define its dimension when it exists. We construct an entropy generating sequence for each symbolic example constructed by Cassaigne such that the dimension of the sequence is the same as its topological entropy dimension. Hence the complexity can be measured via the dimension of an entropy generating sequence. Moreover, we construct a weakly mixing example with subexponential growth rate.展开更多
基金This research is supported by the National Natural Science Foundation of China(70071037,79990580and 2001-BA608B14).
文摘The economic evolution exhibits complexity. Behind the variable and fluctuant economic data there exists basic characters and rules. One basic structure in economic evolving process called as 'J' structure is studied by us. This kind of structure exists in a wide area, such as economic growth, technology innovation, international trade, education,human capital, ecology and environment etc. From the view of economic evolution, J structure has the character that system should suffer the pressure of initial investment with profit decreasing but get larger return afterwards. It is a kind of adaptation in complexe conomic systems; it reflects the adaptive and reformative ability of the system under the surrounding change. We illustrate the J structure by discussing economic growth. Based on a two-dimension dynamic system the geometric character and mechanism of J structure are studied, also the phase graphs with its condition are given. Also some further works are discussed.
基金supported by National Natural Science Foundation of China (GrantNo. 10901080)supported in part by KRF (Grant No. 2010-0020946)
文摘We introduce the notion of entropy generating sequence for infinite words and define its dimension when it exists. We construct an entropy generating sequence for each symbolic example constructed by Cassaigne such that the dimension of the sequence is the same as its topological entropy dimension. Hence the complexity can be measured via the dimension of an entropy generating sequence. Moreover, we construct a weakly mixing example with subexponential growth rate.
