Spectral Gap Estimates for the Random Field Ising Model - Lecture

Explore a 44-minute lecture on spectral gap estimates for the random field Ising model presented by Reza Gheissari from Northwestern University at IPAM's Statistical Mechanics Beyond 2D Workshop. Delve into the study of convergence rates to equilibrium for Glauber dynamics in the random-field Ising model on finite subsets of Zd for d≥2. Examine the intriguing Griffiths phase, where global correlation decay coexists with local regions of persistent correlations. Discover how weak and strong assumptions on correlation decay lead to different Poincare-type inequalities and fast mixing guarantees. Learn about the combination of stochastic localization schemes and percolation-theoretic coarse-graining techniques used in the proofs. Gain insights into this collaborative work with A. El Alaoui, R. Eldan, and A. Piana, exploring the intersection of statistical mechanics and mathematical physics.