On two-dimensional ferromagnetism
نویسندگان
چکیده
منابع مشابه
On two-dimensional ferromagnetism
We study the existence of minimizers for 2-dimensional ferromagnetism with various assumptions on different terms of the total energy. Our general philosophy for finding the minimizing magnetizations is to reduce this problem to a minimization problem for a new energy over a divergence-free field. Such a general philosophy works for all dimensions. However, in the twodimensional case, since the...
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A subset W of the vertices of a graph G is a resolving set for G when for each pair of distinct vertices u,v in V (G) there exists w in W such that d(u,w)≠d(v,w). The cardinality of a minimum resolving set for G is the metric dimension of G. This concept has applications in many diverse areas including network discovery, robot navigation, image processing, combinatorial search and optimization....
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ژورنال
عنوان ژورنال: Proceedings of the Royal Society of Edinburgh: Section A Mathematics
سال: 2009
ISSN: 0308-2105,1473-7124
DOI: 10.1017/s0308210507000662