Formation of a mass distribution of objects in an initially uniform field. I. Mergings in a one-component set of particles

A random quantity ξ, the number of pairwise mergings in a finite set of particles, is constructed in a sequential scheme of complex trials. Let T0, T1,T2,…, Tm,…be a sequence of times. We then have a discrete approximation of the process of mergings by a uniform Markov chain. Translated from Astrofizika, Vol. 42, No. 4, pp. 609–616, October–December, 1999.