منابع مشابه
On Normal and Strongly Normal Lattices
In this paper we will investigate the properties of normality and strong normality of lattices and their relationships to zero-one measures. We will eventually establish necessary and sufficient conditions for lattices to be strongly normal. These properties are then investigated in the case of separated lattices.
متن کاملBreathers in strongly anharmonic lattices.
We present and study a family of finite amplitude breathers on a genuinely anharmonic Klein-Gordon lattice embedded in a nonlinear site potential. The direct numerical simulations are supported by a quasilinear Schrodinger equation (QLS) derived by averaging out the fast oscillations assuming small, albeit finite, amplitude vibrations. The genuinely anharmonic interlattice forces induce breathe...
متن کاملS-extremal strongly modular lattices
S-extremal strongly modular lattices maximize the minimum of the lattice and its shadow simultaneously. They are a direct generalization of the s-extremal unimodular lattices defined in [6]. If the minimum of the lattice is even, then the dimension of an s-extremal lattices can be bounded by the theory of modular forms. This shows that such lattices are also extremal and that there are only fin...
متن کاملStrongly normal sets of tiles in N dimensions
The first and third authors and others [2,8,9,10,11,12] have studied sets of “tiles” (a generalization of pixels or voxels) in two and three dimensions that have a property called strong normality (SN): For any tile P , only finitely many tiles intersect P , and any nonempty intersection of these tiles must also intersect P . This paper presents extensions of the basic results about SN sets of ...
متن کاملLow dimensional strongly perfect lattices. III: Dual strongly perfect lattices of dimension 14
The extremal 3-modular lattice [±G2(3)]14 with automorphism group C2 × G2(F3) is the unique dual strongly perfect lattice of dimension 14.
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ژورنال
عنوان ژورنال: Indagationes Mathematicae (Proceedings)
سال: 1984
ISSN: 1385-7258
DOI: 10.1016/1385-7258(84)90013-1