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Axioms
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Advances in Stochastic Modelling
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Advances in Stochastic Modelling

A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Physics".

Deadline for manuscript submissions: closed (31 December 2022) | Viewed by 6608

Special Issue Editor

Dr. Ilaria Cacciari

E-Mail Website
Guest Editor
Institute of Applied Physics “Nello Carrara” - CNR, Florence, Italy
Interests: stochastic processes; microwave; terahertz and optical propagation; quantum mechanics
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

We have the pleasure to invite you to submit a paper to the Special Issue entitled “Advances in Stochastic modelling”, which will be published in the MDPI journal Axioms. Stochastic modelling generally refers to the mathematical representation of systems or processes characterized by random evolution. The possibility of using specific mathematical tools in order to quantify the dynamic relationship of sequences of random events can play an important role in interpreting a wide set of problems. It is a general and versatile tool that allows combining mathematics with neural learning, bioinformatics, finance, statistics and applied probability, etc.For this Special Issue, we welcome the submission of research studies and possibly reviews related to any stochastic model. The scope of topics includes, but is not limited to, the following: probability; statistics; linear algebra; calculus; measure theory; topology Fourier analysis; functional analysis; Markov, Lévy, and Martingale processes; simulation methods for stochastic models (Monte Carlo); and applications in life sciences, social sciences, and finance.

Dr. Ilaria Cacciari
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Axioms is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • stochastic modelling
  • probability
  • statistics
  • stochastic simulation

Published Papers (4 papers)

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Research

13 pages, 348 KiB  
Article
A Super-Convergent Stochastic Method Based on the Sobol Sequence for Multidimensional Sensitivity Analysis in Environmental Protection
by Ivan Dimov, Venelin Todorov and Slavi Georgiev
Axioms 2023, 12(2), 146; https://doi.org/10.3390/axioms12020146 - 31 Jan 2023
Cited by 1 | Viewed by 1282
Abstract
Environmental security is among the top priorities worldwide, and there are many difficulties in this area. The reason for this is a painful subject for society and healthcare systems. Multidimensional sensitivity analysis is fundamental in the process of validating the accuracy and reliability [...] Read more.
Environmental security is among the top priorities worldwide, and there are many difficulties in this area. The reason for this is a painful subject for society and healthcare systems. Multidimensional sensitivity analysis is fundamental in the process of validating the accuracy and reliability of large-scale computational models of air pollution. In this paper, we present an improved version of the well-known Sobol sequence, which shows a significant improvement over the best available existing sequences in the measurement of the sensitivity indices of the digital ecosystem under consideration. We performed a complicated comparison with the best available low-discrepancy sequences for multidimensional sensitivity analysis to study the model’s output with respect to variations in the input emissions of anthropogenic pollutants and to evaluate the rates of several chemical reactions. Our results, which are presented in this paper through a sensitivity analysis, will play an extremely important multi-sided role. Full article
(This article belongs to the Special Issue Advances in Stochastic Modelling)
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11 pages, 543 KiB  
Article
Bypassing the Kochen–Specker Theorem: An Explicit Non-Contextual Statistical Model for the Qutrit
by David H. Oaknin
Axioms 2023, 12(1), 90; https://doi.org/10.3390/axioms12010090 - 15 Jan 2023
Cited by 1 | Viewed by 1324
Abstract
We describe an explicitly non-contextual statistical model of hidden variables for the qutrit, which fully reproduces the predictions of quantum mechanics, and thus, bypasses the constraints imposed by the Kochen–Specker theorem and its subsequent reformulations. We notice that these renowned theorems crucially rely [...] Read more.
We describe an explicitly non-contextual statistical model of hidden variables for the qutrit, which fully reproduces the predictions of quantum mechanics, and thus, bypasses the constraints imposed by the Kochen–Specker theorem and its subsequent reformulations. We notice that these renowned theorems crucially rely on the implicitly assumed existence of an absolute frame of reference with respect to which physically indistinguishable tests related by spurious gauge transformations can supposedly be assigned well-defined distinct identities. We observe that the existence of such an absolute frame of reference is not required by fundamental physical principles, and hence, assuming it is an unnecessarily restrictive demand. Full article
(This article belongs to the Special Issue Advances in Stochastic Modelling)
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7 pages, 3139 KiB  
Article
Modulation Transfer between Microwave Beams: A Hypothesized Case of a Classically-Forbidden Stochastic Process
by Anedio Ranfagni and Ilaria Cacciari
Axioms 2022, 11(8), 416; https://doi.org/10.3390/axioms11080416 - 19 Aug 2022
Cited by 3 | Viewed by 1166
Abstract
Measurements of delay time in the transfer of modulation between a modulated to an unmodulated one, both of them derived by the same microwave source, are reported and interpreted. In the light of these results, the transfer of modulation can be hypothesized as [...] Read more.
Measurements of delay time in the transfer of modulation between a modulated to an unmodulated one, both of them derived by the same microwave source, are reported and interpreted. In the light of these results, the transfer of modulation can be hypothesized as due to a stochastic, classically-forbidden process, assisted by a photon–photon scattering mechanism. Full article
(This article belongs to the Special Issue Advances in Stochastic Modelling)
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5 pages, 222 KiB  
Article
On Newton’s First Law of Motion
by Goran Peskir
Axioms 2022, 11(7), 319; https://doi.org/10.3390/axioms11070319 - 29 Jun 2022
Viewed by 2087
Abstract
We present arguments in support of the view that Newton’s first law of motion extends itself to stochastic motions as follows: Every entity perseveres in its state of independent and stationary increments except insofar as it is compelled to change its state by [...] Read more.
We present arguments in support of the view that Newton’s first law of motion extends itself to stochastic motions as follows: Every entity perseveres in its state of independent and stationary increments except insofar as it is compelled to change its state by forces impressed. Some of the far-reaching consequences of the extended law are briefly touched upon as well. Full article
(This article belongs to the Special Issue Advances in Stochastic Modelling)
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