Authors: Milovanović, Miloš 
Vukmirović, Srđan
Saulig, Nicoletta
Affiliations: Mathematics 
Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Stochastic analysis of the time continuum
Journal: Mathematics
Volume: 9
Issue: 12
First page: 1452
Issue Date: 2-Jun-2021
Rank: ~M21a
ISSN: 2227-7390
DOI: 10.3390/math9121452
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 recapit-ulates 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 | Measurement problem | Multiresolution hierarchy | Real numbers | Self-organization | Time operator
Publisher: MDPI

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