Tatiana RYABUKHA
Institute of Mathematics of NAS of Ukraine,
3 Tereshchenkivs'ka Str.,
01601 Kyiv-4, UKRAINE
E-mail: vyrtum@imath.kiev.ua

On the dual non-equilibrium cluster expansion

Abstract:
We define the concept of  dual non-equilibrium cluster expansion and construct a cumulant representation for the solution of an initial value problem to the dual  BBGKY hierarchy. The existence of mean value functionals is investigated in the apropriate functional spaces.