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Dal'nevostochnyi Matematicheskii Zhurnal, 2012, Volume 12, Number 2, Pages 201–230 (Mi dvmg241)  
This article is cited in 1 scientific paper (total in 1 paper)

On Statistical Properties of Local Minima of Integer Lattices

A. A. Illarionov

Institute for Applied Mathematics, Khabarovsk Division, Far-Eastern Branch of the Russian Academy of Sciences
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Abstract: The asymptotical formula for average number of local minima of integer multidimensional lattices is proved.
Key words: lattice, local minimum, many-dimensional continued fraction.
Received: 12.03.2012
Document Type: Article
UDC: 511.9, 511.36
MSC: Primary 11J60; Secondary 11H16
Language: Russian
Citation: A. A. Illarionov, “On Statistical Properties of Local Minima of Integer Lattices”, Dal'nevost. Mat. Zh., 12:2 (2012), 201–230
Citation in format AMSBIB
\Bibitem{Ill12}
\by A.~A.~Illarionov
\paper On Statistical Properties of Local Minima of Integer Lattices
\jour Dal'nevost. Mat. Zh.
\yr 2012
\vol 12
\issue 2
\pages 201--230
\mathnet{http://mi.mathnet.ru/dvmg241}
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  • https://www.mathnet.ru/eng/dvmg/v12/i2/p201
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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