Geodesic
Nonlinear Averages in Economics
Matematičeskie zametki, Tome 78 (2005) no. 3, pp. 377-395.

Voir la notice de l'article provenant de la source Math-Net.Ru

Kolmogorov nonlinear averaging is complemented by a natural axiom. For this averaging, we prove a theorem on large deviations as well as establish the relationship to the tunnel canonical operator. 
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V. P. Maslov. Nonlinear Averages in Economics. Matematičeskie zametki, Tome 78 (2005) no. 3, pp. 377-395. http://geodesic.mathdoc.fr/item/MZM_2005_78_3_a5/

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[2] Maslov V. P., “Aksiomy nelineinogo osredneniya v finansovoi matematike i dinamika kursa aktsii”, Teor. veroyatn. i ee primen., 48:4 (2003), 800–810 | MR

[3] ‘Zero Intelligence’ Trading Closely Mimics Stock Market, , NewScientist, Katharine Davis, 05/02/01, sm. takzhe drugie saity po ssylke “Zero Intelligence” http://www.newscientist.com/article.ns?id=dn6948

[4] Vyugin V. V., Maslov V. P., “Teorema o kontsentratsii dlya entropii i svobodnoi energii”, Problemy peredachi informatsii, 41:2 (2005), 72–88 | MR

[5] Maslov V. P., “Geometricheskoe “kvantovanie” termodinamiki i statisticheskie popravki v kriticheskikh tochkakh”, TMF, 101:3 (1994), 433–441 | MR | Zbl

[6] Kheding Dzh., “Vvedenie v metod fazovogo intervala”, Posleslovie k knige: Maslov V. P., Metod VKB v mnogomernom sluchae, Mir, M., 1965

[7] Maslov V. P., Teoriya vozmuschenii i asimptoticheskie metody, MGU, M., 1965

[8] Maslov V. P., “Approksimatsionnye veroyatnosti, zakon kvazistabilnogo rynka i fazovyi perekhod iz “kondensatnogo” sostoyaniya”, Dokl. RAN, 392:6 (2003), 727–732 | MR

[9] Maslov V. P., “Integralnye uravneniya i fazovye perekhody v veroyatnostnykh igrakh. Analogiya so statisticheskoi fizikoi”, Teor. veroyatn. i ee primen., 48:2 (2003), 403–411 | MR | Zbl

[10] Maslov V. P., “Ekonofizika i kvantovaya statistika”, Matem. zametki, 72:6 (2002), 883–891 | Zbl

[11] Maslov V. P., “Zavisimost pokupatelnoi sposobnosti i srednego dokhoda naseleniya ot chisla pokupatelei na spetsializirovnnom rynke i v regione. Zakony ekonofiziki”, Dokl. RAN, 395:2 (2004), 164–168 | Zbl

[12] Maslov V. P., “Raskhody pokupatelei i skorost oborota pri nelineinom finansovom osrednenii. Zakony ekonofiziki”, Dokl. RAN, 396:2 (2004), 155–158 | Zbl

[13] Maslov V. P., “Nelineinoe finansovoe osrednenie, evolyutsionnyi protsess i zakony ekonofiziki”, Teor. veroyatn. i ee primenen., 49:2 (2004), 269 | MR | Zbl

[14] Maslov V. P., “Kvazistabilnaya ekonomika i ee svyaz s termodinamikoi sverkhtekuchei zhidkosti. Defolt kak fazovyi perekhod nulevogo roda. 1; 2”, Obozrenie prikladnoi i promyshlennoi matematiki, 11:4 (2004), 690–732; 12:1 (2005), 3–40 | Zbl

[15] Baturin V. N., Lebedev S. G., Maslov V. P., Sadovnikov B. I., Chebotarev A. M., “Rekonstruktsiya Pareto-raspredeleniya v oblasti vysokikh dokhodov”, Ekonomicheskaya nauka sovremennoi Rossii, 2005, no. 3

[16] Maslov V. P., “Quantum economics”, Russian J. Math. Phys., 12:2 (2005), 219–231 | Zbl

[17] Maslov V. P., Kapitalisticheskaya matematika, , 2005, Manuscript www.viktor-maslov.narod.ru