The DOI matches its Crossref record.
Replicas and optimization
Open accessAbstract
We use the replica method to study the (bipartite) weighted matching problem with independent random distances between the points. We propose a replica symmetric solution which fits the numerical values of the minimal length and the distribution of lengths of the occupied links in the optimal configuration.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cited by
Information, Physics, and Computation
Mézard, M., & Montanari, A. (2009) · doi:10.1093/acprof:oso/9780198570837.001.0001 · Cited by 1,913
Self-citationRammal, R., Toulouse, G., & Virasoro, M. A. (1986) · Reviews of Modern Physics · doi:10.1103/revmodphys.58.765 · Cited by 756
The ζ(2) limit in the random assignment problem
Aldous, D. J. (2001) · Random Structures & Algorithms · doi:10.1002/rsa.1015 · Cited by 278
Metadata
- Authors
- Mézard, M., & Parisi, G.
- Venue
- Journal de Physique Lettres
- Publisher
- EDP Sciences
- Published
- 1985
- Volume
- 46
- Issue
- 17
- Pages
- 771-778
- ISSN
- 0302-072X (ISSN-L)
- OpenAlex
- W2089435411
- Cited by
- 220
- References
- 0
- FWCI
- 3.83
- Type
- journal article
- Language
- fr
- Open access
- green
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Replicas and optimization. https://app.cochat.ai/papers/10.1051/jphyslet:019850046017077100
- The paper
- Mézard, M., & Parisi, G. (1985). Replicas and optimization. Journal de Physique Lettres. https://doi.org/10.1051/jphyslet%3A019850046017077100
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
