The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
An Iterative Construction of Solutions of the TAP Equations for the Sherrington–Kirkpatrick Model
Open accessAbstract
We propose an iterative scheme for the solutions of the TAP-equations in the Sherrington–Kirkpatrick model which is shown to converge up to and including the de Almeida–Thouless line. The main tool is a representation of the iterations which reveals an interesting structure of them. This representation does not depend on the temperature parameter, but for temperatures below the de Almeida–Thouless line, it contains a part which does not converge to zero in the limit.
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Cites
Spin Glass Theory and Beyond: An Introduction to the Replica Method and Its Applications
Mezard, M., Parisi, G., & Virasoro, M. (1986) · World Scientific Lecture Notes in Physics · doi:10.1142/0271 · Cited by 3,653
Cited by
Statistical physics of inference: thresholds and algorithms
Zdeborová, L., & Krzakala, F. (2016) · Advances in Physics · doi:10.1080/00018732.2016.1211393 · Cited by 440
Metadata
- Authors
- Bolthausen, E.
- Venue
- Communications in Mathematical Physics
- Published
- 2013-12-27
- Volume
- 325
- Issue
- 1
- Pages
- 333-366
- ISSN
- 0010-3616 (ISSN-L)
- 1432-0916
- OpenAlex
- W2130109580
- Cited by
- 171
- References
- 1
- FWCI
- 3.15
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Bolthausen, E. (2014). An Iterative Construction of Solutions of the TAP Equations for the Sherrington–Kirkpatrick Model. Communications in Mathematical Physics. https://doi.org/10.1007/s00220-013-1862-3
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