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.