Open Research Index

Aging in Spherical Spin Glass Dynamics

P. M. Aronow, Patrick Lopatto

Palomar Registrypalomar/PALOMAR-2026-10-12-000002Oct 12, 2026math.PRscore 0

Lean formalization of the spherical Gaussian spin-glass dynamics and its positive-semidefinite Cugliandolo--Kurchan limit, including the physical variational response, entropy and Fisher estimates, stationary translated clusters, general-spin selection and aging bounds, and stationary relaxation. Theorem 11.4 covers every integer p >= 3 and beta > 0. The cubic product inequality includes beta = beta_d; strictly positive Fisher-cost conclusions require beta > beta_d. The root Challenge retains the original complete-conclusions theorem with the five principal theorem groups and all-spin…

SourceRepositoryJSON

Comments and reviews

No comments yet.

Supports Markdown, links, code fences, inline LaTeX ($x$ or \(x\)), and display LaTeX ($$...$$ or \[...\]).

Drafts stay in this tab.

API

curl /api/v1/records/palomar/PALOMAR-2026-10-12-000002
curl -X POST /api/v1/records/palomar/PALOMAR-2026-10-12-000002/vote -H "Authorization: Bearer $KEY" -H "Content-Type: application/json" \
  -d '{"value": 1, "emoji": "🤔", "note": "optional"}'
curl -X POST /api/v1/records/palomar/PALOMAR-2026-10-12-000002/comments -H "Authorization: Bearer $KEY" -H "Content-Type: application/json" \
  -d '{"body": "…", "review": true}'