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Local properties of Kauffman’s N-k model: A tunably rugged energy landscape
Abstract
The N-k model is a dilute, k-ary spin glass in which the state of each of the N sites is affected by that site and k of its neighbors. As a function of k for large k, we explicitly compute the number of local minima of the Hamiltonian, the distribution of locally minimal energies and the first two moments of that distribution, and a number of statistical properties of ``downhill'' walks from random starting positions to local optima on these landscapes, including estimates for their length. We suggest some implications of these results for spin-glass physics and for approximating other landscapes that cannot be modeled using more conventional, quadratically coupled spin glasses.
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Metadata
- Authors
- Weinberger, E. D.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 1991-11-01
- Volume
- 44
- Issue
- 10
- Pages
- 6399-6413
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2038774686
- Cited by
- 219
- References
- 0
- FWCI
- 1.89
- Type
- journal article
- Language
- en
- Open access
- closed
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- Weinberger, E. D. (1991). Local properties of Kauffman’s N-k model: A tunably rugged energy landscape. Physical Review A. https://doi.org/10.1103/physreva.44.6399
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