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Isotropy and Metastable States: The Landscape of the XY Hamiltonian Revisited

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The number of local optima is an important characteristic of a landscape. It appears to depend on the pair-correlation of the landscape as well as on its deviations from statistical isotropy. We use Tanaka and Edward's XY Hamiltonian as an example for an investigation of the relationships between ruggedness, metastable states, and isotropy.

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  • Ricardo Garcia-Pelayo & Peter F. Stadler, 1996. "Isotropy and Metastable States: The Landscape of the XY Hamiltonian Revisited," Working Papers 96-05-034, Santa Fe Institute.
    • Handle: RePEc:wop:safiwp:96-05-034
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    1. Barbel Krakhofer & Peter F. Stadler, 1996. "Local Minima in the Graph Bipartitioning Problem," Working Papers 96-02-005, Santa Fe Institute.
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