Article révisé par les pairs
| Résumé : | I. Prigogine and P. Résibois have recently introduced, as an intermediate step in their formulation of the approach to equilibrium in a homogeneous system, functionals ωα(Z) of a given analytical function Ψ(Z). The purpose of the present article are 1. 1) to analyze, in a more complete way, the sequence of functionals ωα(Z). 2. 2) to establish the link between two methods to describe the pseudo-markovian evolution for the above-mentioned system 3. 3) to derive, with a strictly mathematical point of view, from the properties of the functionals ωα(Z), a few remarkable equations, leading when particular choices of function Ψ(Z) are made to summation relations between binomial coefficients. © 1957. |
