Property of mixing of continuous classical systems with strong superstable interactions

• Datum: 2017
• Hauptverfasser: Rebenko, A. L., Tertychnyi, M. V., Ребенко, О. Л., Тертичний, М. В.
• Format: Artikel
• Sprache: Ukrainisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2017
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/1760
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We consider an infinite system of point particles in $R^d$, interacting via a strong superstable two-body potential $\phi$ of finite range with radius $R$. In the language of correlation functions, we obtain a simple proof of decrease in correlations between two clusters (two groups of variables) t...