Stochastic Analysis of the Time Continuum

Miloš Milovanović, Srđan Vukmirović and Nicoletta Saulig
Additional contact information
Miloš Milovanović: Mathematical Institute of the Serbian Academy of Sciences and Arts, 11000 Belgrade, Serbia
Srđan Vukmirović: Faculty of Mathematics, University of Belgrade, 11000 Belgrade, Serbia
Nicoletta Saulig: Faculty of Engineering, Juraj Dobrila University of Pula, 52100 Pula, Croatia

Mathematics, 2021, vol. 9, issue 12, 1-20

Abstract: 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.

Keywords: intuitionism; real numbers; measurement problem; multiresolution hierarchy; time operator; self-organization (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.mdpi.com/2227-7390/9/12/1452/pdf (application/pdf)
https://www.mdpi.com/2227-7390/9/12/1452/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:9:y:2021:i:12:p:1452-:d:578889

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().