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Mathematical analysis of Soros's theory of reflexivity
Soros’s theory of reflexivity Discrete dynamical systems
2010/10/29
Themathematical model proposed by George Soros for his theory of reflexivity is analyzed under the framework of discrete dynamical systems. We show the importance of the notion of fixed points for exp...
Mathematical analysis of long tail economy using stochastic ranking processes
Mathematical analysis long tail economy stochastic ranking processes
2010/12/17
We present a new method of estimating the distribution of sales rates of, e.g., book titles at an online bookstore, from the time evolution of ranking data found at websites of the store. The method i...