The random-cluster model has a uniqueness transition at p_s(q,Δ) on wired Δ-regular trees for all q, yielding near-linear mixing of Glauber dynamics on trees and on random regular graphs when q ≥ C log Δ.
Martinelli
4 Pith papers cite this work, alongside 376 external citations. Polarity classification is still indexing.
4
Pith papers citing it
376
external citations · OpenAlex
years
2026 4verdicts
UNVERDICTED 4representative citing papers
Glauber dynamics for RFIM on bounded-degree graphs mixes in polynomial time w.h.p. under anti-concentrated random fields, with MLSI and weak Poincaré inequalities also established.
k-local quantum Hamiltonians admit system-size-independent spectral gap for Gibbs samplers at high temperature, enabling FPT quantum approximation algorithms for partition functions.
Positive-rate probabilistic cellular automata admitting stationary Bernoulli measures are exponentially ergodic with logarithmic mixing times for finite regions.
citing papers explorer
-
Fast mixing of all-to-all quantum systems at high temperatures
k-local quantum Hamiltonians admit system-size-independent spectral gap for Gibbs samplers at high temperature, enabling FPT quantum approximation algorithms for partition functions.