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Matematicheskie Zametki, 2005, Volume 78, Issue 3, Pages 377–395
DOI: https://doi.org/10.4213/mzm2595 (Mi mzm2595) 		 
This article is cited in 53 scientific papers (total in 53 papers)

Nonlinear Averages in Economics

V. P. Maslov

M. V. Lomonosov Moscow State University, Faculty of Physics
Full-text PDF (261 kB) Citations (53)
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DOI: https://doi.org/10.4213/mzm2595
Abstract: 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.
Received: 30.05.2005
English version:
Mathematical Notes, 2005, Volume 78, Issue 3, Pages 347–363
DOI: https://doi.org/10.1007/s11006-005-0134-8
Bibliographic databases:
UDC: 519
Language: Russian
Citation: V. P. Maslov, “Nonlinear Averages in Economics”, Mat. Zametki, 78:3 (2005), 377–395; Math. Notes, 78:3 (2005), 347–363
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/mzm2595
  • https://doi.org/10.4213/mzm2595
  • https://www.mathnet.ru/eng/mzm/v78/i3/p377
    • This publication is cited in the following 53 articles:
    1. A. V. Lebedev, “Laws of large numbers for certain abstract means”, Moscow University Mathematics Bulletin, 76:3 (2021), 139–143  mathnet  crossref  mathscinet  zmath  isi
    2. Lapinski T.M., “Law of Large Numbers Unifying Maxwell-Boltzmann, Bose-Einstein and Zipf-Mandelbort Distributions, and Related Fluctuations”, Physica A, 572 (2021), 125909  crossref  mathscinet  isi
    3. Sergei G. FAL'KO, Tamara N. RYZHIKOVA, Zurab S. AGALAROV, “Ways to diversify enterprises in the space sphere: Challenges, problems, and solutions”, EATP, 20:1 (2021), 4  crossref
    4. Tamara N. RYZHIKOVA, Vladislav G. BOROVSKII, Zurab S. AGALAROV, “Assessing the readiness of the machine-building industry for the Fourth industrial revolution”, EATP, 20:5 (2021), 886  crossref
    5. Random Evolutionary Systems, 2021, 279  crossref
    6. Peter Carr, Umberto Cherubini, “Generalized Compounding and Growth Optimal Portfolios: Reconciling Kelly and Samuelson”, SSRN Journal, 2020  crossref
    7. Guzev M.A., Tsitsiashvili G.S., Osipova M.A., “The Object Detection By Autonomous Apparatus as a Solution of the Buffon Needle Problem”, Math. Mech. Complex Syst., 7:2 (2019), 189–201  crossref  mathscinet  isi
    8. M. A. Guzev, G. Sh. Tsitsiashvili, M. A. Osipova, “Zaschita setevoi struktury avtonomnymi apparatami”, Dalnevost. matem. zhurn., 18:2 (2018), 177–182  mathnet
    9. Zegarlinski B., “Linear and Nonlinear Dissipative Dynamics”, Rep. Math. Phys., 77:3 (2016), 377–397  crossref  mathscinet  zmath  isi  elib  scopus  scopus
    10. M. A. Guzev, A. A. Dmitriev, “On the Critical Points of the Kolmogorov Mean with Constraints on the Mean of the Arguments”, Math. Notes, 98:2 (2015), 237–250  mathnet  crossref  crossref  mathscinet  isi  elib
    11. Pierre Bernhard, Jacob C. Engwerda, Berend Roorda, J. M. Schumacher, Vassili Kolokoltsov, Patrick Saint-Pierre, Jean-Pierre Aubin, The Interval Market Model in Mathematical Finance, 2013, 217  crossref
    12. Pierre Bernhard, Jacob C. Engwerda, Berend Roorda, J. M. Schumacher, Vassili Kolokoltsov, Patrick Saint-Pierre, Jean-Pierre Aubin, The Interval Market Model in Mathematical Finance, 2013, 79  crossref
    13. Pierre Bernhard, Jacob C. Engwerda, Berend Roorda, J. M. Schumacher, Vassili Kolokoltsov, Patrick Saint-Pierre, Jean-Pierre Aubin, Static & Dynamic Game Theory: Foundations & Applications, The Interval Market Model in Mathematical Finance, 2013, 17  crossref
    14. Pierre Bernhard, Jacob C. Engwerda, Berend Roorda, J. M. Schumacher, Vassili Kolokoltsov, Patrick Saint-Pierre, Jean-Pierre Aubin, The Interval Market Model in Mathematical Finance, 2013, 199  crossref
    15. Pierre Bernhard, Jacob C. Engwerda, Berend Roorda, J. M. Schumacher, Vassili Kolokoltsov, Patrick Saint-Pierre, Jean-Pierre Aubin, Static & Dynamic Game Theory: Foundations & Applications, The Interval Market Model in Mathematical Finance, 2013, 293  crossref
    16. Pierre Bernhard, Jacob C. Engwerda, Berend Roorda, J. M. Schumacher, Vassili Kolokoltsov, Patrick Saint-Pierre, Jean-Pierre Aubin, The Interval Market Model in Mathematical Finance, 2013, 91  crossref
    17. Pierre Bernhard, Jacob C. Engwerda, Berend Roorda, J. M. Schumacher, Vassili Kolokoltsov, Patrick Saint-Pierre, Jean-Pierre Aubin, Static & Dynamic Game Theory: Foundations & Applications, The Interval Market Model in Mathematical Finance, 2013, 31  crossref
    18. Pierre Bernhard, Jacob C. Engwerda, Berend Roorda, J. M. Schumacher, Vassili Kolokoltsov, Patrick Saint-Pierre, Jean-Pierre Aubin, The Interval Market Model in Mathematical Finance, 2013, 319  crossref
    19. Pierre Bernhard, Jacob C. Engwerda, Berend Roorda, J. M. Schumacher, Vassili Kolokoltsov, Patrick Saint-Pierre, Jean-Pierre Aubin, The Interval Market Model in Mathematical Finance, 2013, 45  crossref
    20. Pierre Bernhard, Jacob C. Engwerda, Berend Roorda, J. M. Schumacher, Vassili Kolokoltsov, Patrick Saint-Pierre, Jean-Pierre Aubin, Static & Dynamic Game Theory: Foundations & Applications, The Interval Market Model in Mathematical Finance, 2013, 65  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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