%0 Journal Article
%T The impulse cutoff an entropy functional measure on trajectories of Markov diffusion process integrating in information path functional
%A Vladimir S. Lerner
%J Physics
%D 2012
%I arXiv
%X Integrating discrete information extracted from random process solves the impulse cutoff entropy functional (EF) measure on trajectories Markov diffusion process, integrated in information path functional (IPF). Process additive functional defines EF reducing it to a regular integral functional. Compared to Shannon entropy measure of random state, cutting process on separated states decreases quantity information concealed in the states correlation holding hidden process information. Infinite dimensional process cutoffs integrate finite information in IPF whose information approaches EF restricting maximal information of the Markov process. Delta impulse and discrete impulse deliver equivalent information at each cutoff. Constructed finite restriction limits impulses discrete actions cutting the regular integral on EF increments between the cutoffs. Finite impulse step-up action transfers EF increment to following impulse whose step-down action cuts off information and step-up action starts imaginary-virtual impulse carrying entropy increment to next real cut. Step-down cut generates maximal information while step-up action delivers minimal information from impulse cut to next impulse step-down action. Virtual impulse transfers conjugated entropy increments during microprocess ending with adjoining increment within actual step-down action at cutoff. Extracting maximum of minimal impulse information and transferring minimal entropy between impulses implement maxmin-minimax principle of converting process entropy to information. Macroprocess extremal integrates imaginary entropy of microprocess and cutoff information of real impulses in IPF information physical process. EF cut measures Feller kernel information. Estimation extracting information confirms nonadditivity of EF measured process fractions.
%U http://arxiv.org/abs/1204.5513v4