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JOURNALS
// Dal'nevostochnyi Matematicheskii Zhurnal
// Archive
Dal'nevost. Mat. Zh.,
2012
Volume 12,
Number 2,
Pages
201–230
(Mi dvmg241)
This article is cited 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
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.
UDC:
511.9
,
511.36
MSC:
Primary
11J60
; Secondary
11H16
Received:
12.03.2012
Fulltext:
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