I found an interesting link by a famous Iranian mathematician who tries to model the decline of the Persian culture after Mongol invasion. He is Prof. Abbas Edalat from Imperial College , UK. He will give his presentation at IPM (Institute for studies in theoretical physics and mathematics) in Tehran, Iran. Here is an abstract of this presentation, which gives some idea. I found it interesting although, modelling social phenomena with only mathematical tools can be inadequate in many cases :
http://www.ipm.ac.ir/edalat2.pdf
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