Abstract
Motions of one-dimensional infinite particle systems are considered where the dynamics is given by systems of ordinary differential equations of first order. The aim of the paper is to show that under certain assumptions about the system of differential equations the distribution law Ptof the particle system at time t becomes more and more regular under the influence of such an interaction. Moreover, Ptis tending weakly toward a distribution describing a random particle system with equal successive spacings.
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More From: Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete
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