Pregled bibliografske jedinice broj: 1150231
Stochastic Analysis of the Time Continuum
Stochastic Analysis of the Time Continuum // Mathematics, 9 (2021), 12; 1452, 20 doi:10.3390/math9121452 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1150231 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Stochastic Analysis of the Time Continuum
Autori
Milovanović, Miloš ; Vukmirović, Srđan ; Saulig, Nicoletta
Izvornik
Mathematics (2227-7390) 9
(2021), 12;
1452, 20
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
intuitionism ; real numbers ; measurement problem ; multiresolution hierarchy ; time operator ; self-organization
Sažetak
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.
Izvorni jezik
Engleski
Znanstvena područja
Matematika, Interdisciplinarne prirodne znanosti, Interdisciplinarne tehničke znanosti
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus