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PreprintCC BY 4.0arXiv

Sampling from the Sherrington-Kirkpatrick Model up to Criticality

Abstract

We prove that the simulated annealing algorithm efficiently samples from the Sherrington-Kirkpatrick model at inverse temperature β< 1 to an arbitrary inverse polynomial accuracy in total variation.

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BibTeX
@misc{du2026sampling,
  title = {{Sampling from the Sherrington-Kirkpatrick Model up to Criticality}},
  author = {Hang Du and Brice Huang and Sidhanth Mohanty and Amit Rajaraman},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.17717},
  eprint = {2610.17717},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.17717},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Sampling from the Sherrington-Kirkpatrick Model up to Criticality
AU  - Hang Du
AU  - Brice Huang
AU  - Sidhanth Mohanty
AU  - Amit Rajaraman
PY  - 2026
DA  - 2026/10/13
PB  - arXiv
DO  - 10.48550/arxiv.2610.17717
UR  - https://arxiv.org/abs/2610.17717
AB  - We prove that the simulated annealing algorithm efficiently samples from the Sherrington-Kirkpatrick model at inverse temperature β< 1 to an arbitrary inverse polynomial accuracy in total variation.
ER  -