Open Research Index

Slow Equilibration and Persistent Stationary Correlations in Spherical Spin Glasses

P. M. Aronow

Palomar Registrypalomar/PALOMAR-2026-10-27-000003Oct 27, 2026math.PRscore 0

Lean formalization of the six headline result groups: Theorem 1.2, Corollary 1.3, and Theorems 1.4–1.7. Theorem 1.2, Corollary 1.3, and the asymptotic clauses of Theorem 1.4 are conditional only on Chen’s finite-mixture Parisi formula. Universal pressure lower tails are proved internally. The finite-dimensional Haar comparison and Theorems 1.5–1.7 have no literature premise. The manuscript and exact model assumptions are included.

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