Advances of Random Matrix Theory, Chaotic Modeling and Nonlinear Dynamics in Mathematical Physics

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Mathematical Physics".

Deadline for manuscript submissions: 30 November 2024 | Viewed by 1694

Special Issue Editor


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Guest Editor
Institute of Physics, Polish Academy of Sciences, Aleja Lotników 32/46, 02‑668 Warszawa, Poland
Interests: random matrix theory; quantum chaos; quantum graphs

Special Issue Information

Dear Colleagues,

The focus of this issue is to present the power of RMT and the many research possibilities it presents specific to the properties of nonlinear and chaotic systems. It is well known that, substantially, statistical properties of such systems are consistent with those predicted by the application of random matrix theory.

We hope to present data from both experimental and theoretical research and new solutions for solving complex computational problems, i.e., a pathway for accelerating or obtaining more accurate results of calculations using RMT.

We do not, however, want to limit ourselves to only physics and mathematics, and we invite you to present the usefulness of this theory in other areas too, such as economics, biology, and social sciences, as we are convinced that such articles will further scientific research, widening its applicability, thus raising everyday life standards for all.

Dr. Michal Lawniczak
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. Mathematics is an international peer-reviewed open access semimonthly 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 2600 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

  • random matrix theory
  • complex systems
  • quantum chaos and nonlinear classical systems
  • quantum chaos and quantum computing

Published Papers (1 paper)

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Research

10 pages, 4007 KiB  
Article
Experimental Investigation of the Generalized Euler Characteristic of the Networks Split at Edges
by Omer Farooq, Afshin Akhshani, Małgorzata Białous, Szymon Bauch, Michał Ławniczak and Leszek Sirko
Mathematics 2022, 10(20), 3785; https://doi.org/10.3390/math10203785 - 14 Oct 2022
Cited by 2 | Viewed by 1271
Abstract
We discuss a connection between the generalized Euler characteristic Eo(|VDo|) of the original graph which was split at edges into two separate subgraphs and their generalized Euler characteristics [...] Read more.
We discuss a connection between the generalized Euler characteristic Eo(|VDo|) of the original graph which was split at edges into two separate subgraphs and their generalized Euler characteristics Ei(|VDi|), i=1,2, where |VDo| and |VDi| are the numbers of vertices with the Dirichlet boundary conditions in the graphs. Applying microwave networks which simulate quantum graphs, we show that the experimental determination of the generalized Euler characteristics Eo(|VDo|) and Ei(|VDi|), i=1,2 allows finding the number of edges in which the subnetworks were connected. Full article
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