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Home / Journal of Computational and Theoretical Nanoscience, Volume 14, Number 1

An Extended von Mises Type Criterion for Complex Systems by Means of Lie Groups and Its Implications

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Using the theory of Lie groups, a correlation between the one-axial and three-axial cases for complex systems is established. Thus, an extended von Mises type criterion results so that the presence of a critical “tension” in complex systems induces a critical probability by means of the integrally invariant functions of Lie groups. In this way, new forecast models for complex systems evolution at any scale (such as stock and goods markets, currency variations, cellular growth, nanostructures etc.) can be developed.

Keywords: Complex Systems; Generalized von Mises Criterion; Lie Groups

Document Type: Research Article

Affiliations: 1: Faculty of Agriculture, Agroeconomy Department, University of Agricultural Sciences and Veterinary Medicine Iasi, Mihail Sadoveanu Alley 3, Iasi 700490, Romania 2: Economic and Marketing Department, “Gheorghe Asachi” Technical University, 59 A Prof. dr. docent Dimitrie Mangeron Blvd., 700050, Iasi, Romania 3: Lasers, Atoms and Molecules Physics Laboratory, University of Science and Technology, Villeneuve d’Ascq, 59655, Lille, France 4: Department of Mechanical Engineering, Management and Physics, Engineering Faculty, “Vasile Alecsandri” University of Bacau, CaleaMarasesti, No. 157, Bacau 600115, Romania 5: Department of Mathematics, Colorado State University Weber Bldg. 123, Fort Collins, CO 80523, USA 6: Faculty of Physics, “Alexandru Ioan Cuza” University, Blvd. Carol I, no. 11, Iaşi 700506, Romania

Publication date: 01 January 2017

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  • Journal of Computational and Theoretical Nanoscience is an international peer-reviewed journal with a wide-ranging coverage, consolidates research activities in all aspects of computational and theoretical nanoscience into a single reference source. This journal offers scientists and engineers peer-reviewed research papers in all aspects of computational and theoretical nanoscience and nanotechnology in chemistry, physics, materials science, engineering and biology to publish original full papers and timely state-of-the-art reviews and short communications encompassing the fundamental and applied research.
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