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Mat. Zametki, 2002, Volume 72, Issue 6, Pages 883–891 (Mi mz474)  

This article is cited in 9 scientific papers (total in 9 papers)

Econophysics and Quantum Statistics

V. P. Maslov

M. V. Lomonosov Moscow State University, Faculty of Physics

Abstract: In this paper, we associate notions of entropy, temperature, free energy, and Hamiltonian occurring in problems in probability theory with a system of identical objects so that modern methods of quantum statistics can be applied to problems in mathematical finance.

DOI: https://doi.org/10.4213/mzm474

Full text: PDF file (179 kB)
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English version:
Mathematical Notes, 2002, 72:6, 811–818

Bibliographic databases:

UDC: 517.983
Received: 05.08.2002

Citation: V. P. Maslov, “Econophysics and Quantum Statistics”, Mat. Zametki, 72:6 (2002), 883–891; Math. Notes, 72:6 (2002), 811–818

Citation in format AMSBIB
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Maslov V.P., “Approximation probabilities, the law of a quasi-stable market, and a phase transition from the “condensate” state”, Dokl. Math., 68:2 (2003), 266–270  mathnet  mathscinet  zmath  isi
    2. V. P. Maslov, “Integral Equations and Phase Transitions in Stochastic Games. An Analogy with Statistical Physics”, Theory Probab. Appl., 48:2 (2004), 359–367  mathnet  crossref  crossref  mathscinet  zmath  isi
    3. V. P. Maslov, “Remark on a Computer-Oriented Language”, Problems Inform. Transmission, 39:3 (2003), 294–298  mathnet  crossref  zmath
    4. V. P. Maslov, “Phase Transitions in a Stochastic Game”, Math. Notes, 73:4 (2003), 598–601  mathnet  crossref  crossref  mathscinet  zmath  isi
    5. Maslov V.P., “Quasistable economics and its relationship to the thermodynamics of superfluids. Default as a zero order phase transition”, Russ. J. Math. Phys., 11:4 (2004), 429–455  mathscinet  zmath  isi
    6. V. P. Maslov, “Nonlinear Averages in Economics”, Math. Notes, 78:3 (2005), 347–363  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    7. Maslov V.P., “Revision of probability theory from the point of view of quantum statistics”, Russ. J. Math. Phys., 14:1 (2007), 66–95  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus  scopus
    8. Qiang W., Cao Y., Yan Y., Gao X., “Bose–Einstein statistics on power dissipation of CMOS circuits”, Chin. J. Electron., 16:1 (2007), 54–58  isi  elib
    9. Schinckus Ch., “A Methodological Call For a Quantum Econophysics”, Quantum Interaction, Lecture Notes in Computer Science, 8369, eds. Atmanspacher H., Haven E., Kitto K., Raine D., Springer-Verlag Berlin, 2014, 308–316  crossref  mathscinet  isi  scopus  scopus
  • Математические заметки Mathematical Notes
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