On Some Aspects of Evolution of Generalized Allocation Schemes

We make an attempt to portray the current situation in probabilistic combinatorics field, where so-called generalized allocation scheme has been utilized. give a series of limit theorems for sums independent identically distributed non-negative integer-valued random variables that find their application scheme. say word about phenomenon transition distribution from one lattice another context scheme, and several examples how reduce combinatorial problem some kind allocating particles cells.