New Noninvasive Methods for ‘Reading’ of Random Sequences and Their Applications in Nanotechnology

A brief description of new noninvasive methods that can be applied for ‘reading’ of different random sequences (including quantum fluctuations registered on scales 10^− 9–10^− 6 m) is presented. The author expects that these methods will find wide applications in quantitative description of different random sequences. All methods described in this paper can be divided on three parts: POLS-the Procedure of the Optimal Linear Smoothing. This procedure helps to find an optimal trend and divide separately the possible trend of the random sequence considered and its relative fluctuations. The second method is related to the generalization of the conventional statistics and consideration of the total set of moments, including their non integer and even complex values. This statistics is extremely helpful in determination of the statistical proximity of different sequences compared. The third method is related to consideration of the detrended sequences (i.e. relative fluctuations). Based on the Linear Principle of the Strongly Correlated Variables (LPSCV) it becomes possible to prove the Universal Distribution Function for the Relative Fluctuations (UDFRF) for the strongly correlated variables does exists that opens quite new possibilities for quantitative ‘reading’ of a wide class of detrended sequences and their possible classifications.