 For a large "k" the maximal value "u"(max) = "k" + "x" ≈ k. Hence the entire variation of ln Λ during an era is given by a sum of the form
formula_65

with only the terms that correspond to large values of "u" written down.When "k" increases this sum increases as ln "k".But the probability for an appearance of an era of a large length "k" decreases as 1/"k"2 according to ; hence the mean value of the sum above is finite.