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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2000, Volume 6, Number 1, Pages 173–189 (Mi timm502)  

This article is cited in 8 scientific papers (total in 8 papers)

The metallic means family and renormalization group techniques

V. W. de Spinadel
Abstract: We present the new family of Metallic Means (MMF), being the most paramount of its members, the Golden Mean $\phi$ and, in the second place, the Silver Mean $\sigma_{Ag}$. Why do we call them a family? Because, besides carrying the name of a metal–the Golden Mean, the Silver Mean, the Copper Mean, the Bronze Mean, the Nickel Mean–they enjoy common mathematical properties that attach a fundamental importance to them in modern investigations about the search of universal roads to chaos. Among these applications, we have chosen the analysis of the main renormalization group techniques, which have the purpose of getting the quantitative microcharacterization of the transition from order to quantum chaos.
Received: 25.11.1999
Bibliographic databases:
Document Type: Article
Language: English
Citation: V. W. de Spinadel, “The metallic means family and renormalization group techniques”, Trudy Inst. Mat. i Mekh. UrO RAN, 6, no. 1, 2000, 173–189; Proc. Steklov Inst. Math. (Suppl.), 2000no. , suppl. 1, S194–S209
Citation in format AMSBIB
\Bibitem{De 00}
\by V.~W.~de~Spinadel
\paper The metallic means family and renormalization group techniques
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2000
\vol 6
\issue 1
\pages 173--189
\mathnet{http://mi.mathnet.ru/timm502}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2066025}
\zmath{https://zbmath.org/?q=an:1125.39300}
\elib{https://elibrary.ru/item.asp?id=12228451}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2000
\issue , suppl. 1
\pages S194--S209
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  • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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