Український математичний конгрес  2009
Tatiana Ryabukha (Institute of Mathematics of NAS of Ukraine, Kyiv, Ukraine) Mean values of observables of infiniteparticle systems We study the existence of mean values of observables for infiniteparticle systems. Using solutions of the initial value problems to the BBGKY hierarchy and to its dual, we prove the local, in time, existence of the mean value functionals in the cases where either observables or states vary in time. We also discuss problems on the existence of such functionals for several different classes of observables and for an arbitrary time interval. Additional information and comments: Key words: infiniteparticle systems; BBGKY hierarchy; dual BBGKY hierarchy; cumulant (semiinvariant); mean values of observables.
