Rank-1-perturbed trickledown theorems: Mixing time of Glauber dynamics for the Sherrington-Kirkpatrick model up to $\beta \le \frac{1}{2}+\epsilon$

Mathews Boban, Anqi Li, Shayan Oveis Gharan

We introduce a new family of trickledown theorems, a.k.a., local to global technique to bound the spectral gap of the Glauber dynamics for multi-state spin systems. In this techniq…