Hahn–Jordan Decomposition as an Equilibrium State in the Conflict System
| Autor: | S. M. Petrenko, V. D. Koshmanenko |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Discrete mathematics
021103 operations research Thermodynamic equilibrium General Mathematics 010102 general mathematics 0211 other engineering and technologies Charge (physics) 02 engineering and technology State (functional analysis) 01 natural sciences Omega Jordan decomposition 0101 mathematics Algebra over a field Mathematics Probability measure |
| Zdroj: | Ukrainian Mathematical Journal. 68:67-82 |
| ISSN: | 1573-9376 0041-5995 |
| DOI: | 10.1007/s11253-016-1209-2 |
| Popis: | 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 − $$ \nu $$ . |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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