Lower bound on the mixing time of $p$-spin glasses

Anouar Kouraich; Simone Warzel

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arXiv · 2605.14681

Lower bound on the mixing time of $p$-spin glasses

Anouar Kouraich·Simone Warzel

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Abstract

We show that Glauber dynamics for $ p$-spin glass mixes exponentially slowly at inverse temperatures larger than a constant times $ \ln (p)/p $ for large enough $ p $. This is done by analyzing the energy landscape using Gaussian decompositions and establishing a bottleneck bound.

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BibTeX RIS

Anouar Kouraich, Simone Warzel. 2026-05-14. Lower bound on the mixing time of $p$-spin glasses. https://arxiv.org/abs/2605.14681

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