Spectral gap estimates for mixed \(p\)-spin models at high temperature

DOI10.1007/S00440-024-01261-9MaRDI QIDQ6582358

Horng-Tzer Yau, Christian Brennecke, C. J. Xu, Arka Adhikari

Publication date: 2 August 2024

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete (Search for Journal in Brave)

zbMATH Keywords

spectral gapDirichlet formspin glass models

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Random structure in solid mechanics (74E35) Continuous-time Markov processes on discrete state spaces (60J27)

Cites Work

• Title not available (Why is that?)
• A limit theorem for the covariances of spins in the Sherrington-Kirkpatrick model with an external field
• Logarithmic Sobolev inequality for some models of random walks
• Spectral gap and logarithmic Sobolev inequality for Kawasaki and Glauber dynamics
• Spectral gap estimates in mean field spin glasses
• A very simple proof of the LSI for high temperature spin systems
• A spectral condition for spectral gap: fast mixing in high-temperature Ising models
• On the spectral gap of spherical spin glass dynamics
• Geometry and Temperature Chaos in Mixed Spherical Spin Glasses at Low Temperature: The Perturbative Regime

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