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A Graphical Exposition of the Ising Problem1

Published online by Cambridge University Press:  09 April 2009

Frank Harary
Frank Harary
Affiliation:
Department of Mathematics University of MichiganAnn Arbor Michigan, 48104, USA
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Ising [1] proposed the problem which now bears his name and solved it for the one-dimensional case only, leaving the higher dimensional cases as unsolved problems. The first solution to the two dimensional Ising problem was obtained by Onsager [6]. Onsager's method was subsequently explained more clearly by Kaufman [3]. More recently, Kac and Ward [2] discovered a simpler procedure involving determinants which is not logically complete.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 12 , Issue 3 , August 1971 , pp. 365 - 377
Copyright
Copyright © Australian Mathematical Society 1971

References

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