Stochastic Analysis of the Time Continuum (CROSBI ID 299441)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Milovanović, Miloš ; Vukmirović, Srđan ; Saulig, Nicoletta
engleski
Stochastic Analysis of the Time Continuum
This paper considers the time continuum of Brouwer in terms of the complex system physics. It is based upon a processual definition of real numbers which concern the measurement problem. The multiresolution hierarchy of the measurement process is represented by the time operator acting on continuous signals. The wavelet domain hidden Markov model, which recapitulates statistical properties of the hierarchy, is verified experimentally on a wide range of signal ensembles. It indicates a novel method that has already been proved to be tremendously useful in applied mathematics.
intuitionism ; real numbers ; measurement problem ; multiresolution hierarchy ; time operator ; self-organization
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Podaci o izdanju
Povezanost rada
Interdisciplinarne prirodne znanosti, Interdisciplinarne tehničke znanosti, Matematika