Proves polynomial mixing of Glauber dynamics at the antiferromagnetic two-spin uniqueness threshold and optimal logarithmic mixing for Swendsen-Wang dynamics on bounded-degree graphs, resolving a conjecture.
Improved analysis of higher order random walks and applications
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
cs.DS 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Edge-Tilting Field Dynamics: Rapid Mixing at the Uniqueness Threshold and Optimal Mixing for Swendsen-Wang Dynamics
Proves polynomial mixing of Glauber dynamics at the antiferromagnetic two-spin uniqueness threshold and optimal logarithmic mixing for Swendsen-Wang dynamics on bounded-degree graphs, resolving a conjecture.