Some elements of a possible demonstration of the Collatz conjecture

Denis Martínez Tápanes, Jose E. Martínez Serra

In this paper we are shown the following facts: The probability of increased $A_k=P(T^k(x_0)>T^{k-1}(x_0))$, and the probability of decrease $B_{k}=P(T^{k} (x_{0})<T^{k…