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Hahn–Jordan Decomposition as an Equilibrium State in the Conflict System

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Ukrainian Mathematical Journal Aims and scope

The notion of conflict system is introduced in terms of couples of the probability measures. We construct several models of conflict systems and show that every trajectory with initial state given by a couple of measures μ and \( \nu \) converges to an equilibrium state specified by the normalized components μ + and \( \nu \) + of the classical Hahn–Jordan decomposition of the charge \( \omega \) = μ − \( \nu \).

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian National Academy of Sciences, Kyiv, Ukraine

    V. D. Koshmanenko & S. M. Petrenko

Authors
  1. V. D. Koshmanenko
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  2. S. M. Petrenko
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 68, No. 1, pp. 64–77, January, 2016.

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Koshmanenko, V.D., Petrenko, S.M. Hahn–Jordan Decomposition as an Equilibrium State in the Conflict System. Ukr Math J 68, 67–82 (2016). https://doi.org/10.1007/s11253-016-1209-2

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  • DOI: https://doi.org/10.1007/s11253-016-1209-2

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