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Central limit theorem for the overlaps on the Nishimori line
May 31, 2023 Β· Declared Dead Β· π arXiv.org
"No code URL or promise found in abstract"
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Authors
Francesco Camilli, Pierluigi Contucci, Emanuele Mingione
arXiv ID
2305.19943
Category
math-ph
Cross-listed
cs.IT,
math.PR
Citations
3
Venue
arXiv.org
Last Checked
3 months ago
Abstract
The overlap distribution of the Sherrington-Kirkpatrick model on the Nishimori line has been proved to be self averaging for large volumes. Here we study the joint distribution of the rescaled overlaps around their common mean and prove that it converges to a Gaussian vector.
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