Geodesic
Nonlinear financial averaging, the evolution process,
Teoriâ veroâtnostej i ee primeneniâ, Tome 49 (2004) no. 2, pp. 269-296

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The similarities and differences between methods as well as results of financial mathematics and quantum statistics can be of use for both sciences. We consider a process that gives the Gibbs distribution and financial averaging in the limit. The laws of econophysics for buyers are studied, which result in “phase transitions” such as stock price breakouts or defaults. The Pareto and Gauss distributions are obtained for the income and expenditures of various social groups. The notion of turnover rate of capital for a quasi-stable state of society is introduced.
Keywords: evolution process, econophysics, information reduction, stock
Mots-clés : Pareto distribution, finance. 
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     author = {V. P. Maslov},
     title = {Nonlinear financial averaging, the evolution process,},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {269--296},
     publisher = {mathdoc},
     volume = {49},
     number = {2},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_2004_49_2_a2/}
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V. P. Maslov. Nonlinear financial averaging, the evolution process,. Teoriâ veroâtnostej i ee primeneniâ, Tome 49 (2004) no. 2, pp. 269-296. http://geodesic.mathdoc.fr/item/TVP_2004_49_2_a2/