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Glauber dynamics is a powerful tool to generate randomized, approximatesolutions to combinatorially difficult problems. Applications include MarkovChain Monte Carlo (MCMC) simulation and distributed scheduling for wirelessnetworks. In this paper, we derive bounds on the mixing time of ageneralization of Glauber dynamics where multiple vertices are allowed toupdate their states in parallel and the fugacity of each vertex can bedifferent. The results can be used to obtain various conditions on the systemparameters such as fugacities, vertex degrees and update probabilities, underwhich the mixing time grows polynomially in the number of vertices.

Mixing Time of Glauber Dynamics With Parallel Updates and Heterogeneous Fugacities