{\rtf1\ansi\ansicpg1252\cocoartf949\cocoasubrtf540 {\fonttbl\f0\fswiss\fcharset0 Helvetica;} {\colortbl;\red255\green255\blue255;} \paperw11900\paperh16840\margl1440\margr1440\vieww9000\viewh8400\viewkind0 \deftab720 \pard\pardeftab720\ql\qnatural \f0\fs24 \cf0 Michael Blank\ \ "Collective phenomena in weakly interacting particle systems and CMLs"\ \ We propose a simple model unifying two major approaches to the\ analysis of large multicomponent systems: interacting particle systems\ (IPS) and couple map lattices (CML) and show that in the weak\ interaction limit depending on fine properties of the interaction\ potential this model may demonstrate both condensation/synchronization\ and independent motions. Note that one of the main paradigms of the\ CML theory is that the latter behavior is supposed to be generic.\ }