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Duality and Multicritical Point of Two-Dimensional Spin Glasses
Hidetoshi Nishimori, Koji Nemoto
Determination of the precise location of the multicritical point and phase boundary is a target of active current research in the theory of spin glasses. In this short note we deve…
Comment on 'Statistical mechanics of CDMA multiuser demodulation'
H. Nishimori
In a recent paper, Tanaka formulated and solved a model of CDMA multiuser demodulation by applying the theory of spin glasses, the replica method in particular. It is shown in the…
Statistical Mechanics of an NP-complete Problem: Subset Sum
T. Sasamoto, T. Toyoizumi, H. Nishimori
We study statistical properties of an NP-complete problem, the subset sum, using the methods and concepts of statistical mechanics. The problem is a generalization of the number pa…
Multispin Ising spin glasses with ferromagnetic interactions
Peter Gillin, Hidetoshi Nishimori, David Sherrington
We consider the thermodynamics of an infinite-range Ising p-spin glass model with an additional r-spin ferromagnetic interaction. For r=2 there is a continuous transition to a ferr…