Metastability of hard-core dynamics on bipartite graphs
نویسندگان
چکیده
منابع مشابه
Slow mixing of Glauber Dynamics for the hard-core model on regular bipartite graphs
Let Σ = (V, E) be a finite, d-regular bipartite graph. For any λ > 0 let πλ be the probability measure on the independent sets of Σ in which the set I is chosen with probability proportional to λ|I| (πλ is the hard-core measure with activity λ on Σ). We study the Glauber dynamics, or single-site update Markov chain, whose stationary distribution is πλ. We show that when λ is large enough (as a ...
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ژورنال
عنوان ژورنال: Electronic Journal of Probability
سال: 2018
ISSN: 1083-6489
DOI: 10.1214/18-ejp210