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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



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