Glauber dynamics in the continuum via generating functionals evolution
  We construct the time evolution for states of Glauber dynamics for a spatial infinite particle system in terms of generating functionals. This is carried out by an Ovsjannikov-type result in a scale of Banach spaces, leading to a local (in time) solution which, under certain initial conditions, might be extended to a global one. An application of this approach to Vlasov-type scaling in terms of generating functionals is considered as well. 
Dmitri L. Finkelshtein, Yuri G. Kondratiev, Maria Jo\~ao Oliveira
math-ph math.MP