American Review of Mathematics and Statistics

Does the Sequences of Random Numbers Follows a Log Periodic Law? Randomness has Memory?
David Izabel

Abstract
The evolution law found by L. Nottale, J.Chaline and P. Grou13 allows to predict with success the evolution in the time of biological phenomena… In this paper, we show that after a light transposition, it allows to predict also in sequences of decimals like π or the gold number or e the Euler number, the mathematic evolution of the cumulative number of new numerals that appears draw after draw by comparison with a reference draw taken arbitrary. It allows equally, in a series of draws of game of chance like the Loto, to predict draw after draw the cumulative number of new numbers released by comparison with a reference draw taken arbitrary in the list of consecutive draws. Of the evolution of this cumulative number of new numerals obtained at each successive draw, we obtain the cumulative number of old numerals and the probability/proportion (cumulative and at each draw) of the new and old numeral sat each draw. Two theorems are proposed at the end of this paper to conclude this research.

Full Text: PDF     DOI: 10.15640/arms.v3n1a9