Unbounded probability theory and its applications

V. P. Maslov   ; T. V. Maslova

Teoriâ veroâtnostej i ee primeneniâ, Tome 57 (2012) no. 3, pp. 471-498

Bibliographie

[1] Puakare A., O nauke, Nauka, M., 1990, 736 pp. (per. s fr. rabot Puankare «Nauka i gipoteza», «Tsennost nauki», «Nauka i metod», «Poslednie mysli») | MR

[2] Guseinov A. A., Velikie proroki i mysliteli. Nravstvennye ucheniya ot Moiseya do nashikh dnei, Veche, M., 2009

[3] Kozlov V. V., “Kinetics of collisionless gas: equalization of temperature, growth of the coarse-grained entropy and the Gibbs paradox”, Regul. Chaotic Dyn., 14:4–5 (2009), 535–540 | DOI | MR | Zbl

[4] Maslov V. P., “Reshenie paradoksa Gibbsa v ramkakh klassicheskoi mekhaniki (statfiziki) i kristallizatsiya gaza $C_{60}$”, Mat. zametki, 83:5 (2008), 787–791 | MR | Zbl

[5] Maslov V. P., “Solution of the Gibbs paradox using the notion of entropy as a function of fractial dimension”, Russ. J. Math. Phys., 17:3 (2010), 288–306 | DOI | MR | Zbl

[6] Maslov V. P., “Gibbs paradox, liquid phase as an alternative to the Bose condensate, and homogeneous mixtures of new ideal gases”, Math. Notes, 89:3 (2011), 366–373 | DOI | MR | Zbl

[7] Maslov V. P., “Kriticheskie pokazateli kak sledstvie vinerovskogo kvantovaniya termodinamiki”, Teoret. i matem. fiz., 170:3 (2012), 458–470

[8] Maslov V. P., “Vyrozhdenie pri perekhode ot diskretnogo spektra k nepreryvnomu i perekhod iz kvantovoi mekhaniki v klassicheskuyu”, Dokl. AN SSSR, 114:5 (1957), 957–960 | MR | Zbl

[9] Maslova T. V., “Ob utochnenii zakona Tsipfa dlya chastotnykh slovarei”, Nauchno-tekhnicheskaya informatsiya, ser. 2, 11 (2006), 37–44

[10] Erdős P., Lehner J., “The distribution of the number of summands in the partitions of a positive integer”, Duke Math. J., 8:2 (1941), 335–345 | DOI | MR

[11] Maslov V. P., “Unbounded probability theory compatible with the probability theory of numbers”, Math. Notes, 91:5 (2012), 697–703 | DOI

[12] Maslov V. P., “Bose condensate in the $D$-dimensional case, in particular, for $D = 2$”, Russ. J. Math. Phys., 19:3 (2012), 317–323 | DOI | MR

[13] Landau L. D., Lifshits E. M., Statisticheskaya fizika, Nauka, M., 1964, 567 pp. | Zbl

[14] Maslov V. P., Zeno-line, binodal, $T$-$\rho$ diagram and clusters as a new Bose-condensate bases on new global distributions in number theory, 28 Dec 2010, arXiv: 1007.4182v3 [math-ph]

[15] Shmulovich K. I., Merkyuri L., “Geokhimicheskie protsessy pri otritsatelnykh davleniyakh”, Vest. Otd. nauk o Zemle RAN, 2006, no. 1(24), 3 pp.

[16] Maslov V. P., Threshold levels in economics, 3 Apr 2009, arXiv: 0903.4783v2 [q-fin.ST]

[17] Maslov V. P., “Theorems on the debt crisis and the occurrence of inflation”, Math. Notes, 85:1 (2009), 146–150 | DOI | Zbl

[18] Maslov V. P., Kvantovaya ekonomika, Nauka, M., 2006

[19] Maslov V. P., Mischenko A. S., “Geometry of a Lagrangian manifold in thermodynamics”, Russ. J. Math. Phys., 10:2 (2003), 161–172 | MR | Zbl

[20] Khart N., Geometricheskoe kvantovanie v deistvii, Mir, M., 1985 | MR

[21] Maslov V. P., Asimptoticheskie metody i teoriya vozmuschenii, Nauka, M., 1988 | MR

[22] Maslov V. P., “Nestandartnye kharakteristiki v asimptoticheskikh zadachakh”, Uspekhi matem. nauk, 38:6 (1983), 3–36 | MR | Zbl

[23] Litvinov G. L., “The Maslov dequantization, idempotent and tropical mathematics: a very brief introduction”, Idempotent Mathematics and Mathematical Physics, Contemp. Math., 377, Amer. Math. Soc., Providence, 2005, 1–17 | DOI | MR | Zbl

[24] Landau L. D., Lifshits E. M., Kvantovaya mekhanika, Nauka, M., 1976 | MR

[25] Vershik A. M., “Statisticheskaya mekhanika kombinatornykh razbienii i ikh predelnye konfiguratsii”, Funkts. analiz i ego pril., 30:2 (1996), 19–39 | DOI | MR | Zbl

[26] Maslov V. P., Nazaikinskii V. E., “O raspredelenii tselochislennykh sluchainykh velichin, svyazannykh odnim lineinym neravenstvom, I”, Matem. zametki, 83:2 (2008), 232–263 | DOI | MR | Zbl