STATISTICAL MODELING OF κ·q±1 DISCRETE DATA TRANSFORMATION SYSTEMS
A new branching tree model has been proposed for the first time in the direction of increasing degree 2n (merging in the reverse direction), which coincides with the direction of increasing total stopping time. It has been shown that each time corresponds to a sequence of individual numbers n(tst)→∞, the volume of which increases with time. Thus, it is proven that each time corresponds to a finite number of Collatz sequences of the same length.