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

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Author Info
Ricardo Garcia-Pelayo
Peter F. Stadler
Abstract

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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Paper provided by Santa Fe Institute in its series Working Papers with number 96-05-034.

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Date of creation: May 1996
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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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