%A Y. Davydov
%A Aude Illig
%J North-Western European Journal of Mathematics
%T Mixing properties of crystallization processes
%X We are interested here in a 
birth-and-growth process where germs
are born according to a Poisson point process with intensity measure
invariant under  space translations.
The germs can be born in free space and then start
growing until occupying the available space. In order to consider various ways of growing, we describe the crystals at each time through their geometrical properties. In this general framework, the 
crystallization process can be characterized
by the random field giving for a point in the state space  the first time this point is reached by a crystal. We prove under general conditions that this random
field is mixing in the sense of ergodic 
theory and obtain estimates for the coefficient of absolute regularity.
%N MR3437171
%K Crystallization process
%K Poisson point process
%K Ergodicity
%P 169-191
%V 1
%C Lille
%D 2015
%I Université de Lille1- UFR de Mathématiques
%L publications23706