Heng Guo (Queen Mary, University of London)
Calvin Lab Room 116
Random Cluster Dynamics at q = 2 is Fast Mixing
We show that the mixing time of Glauber (single edge update) dynamics for the random cluster model at q = 2 is bounded by a polynomial in the size of the underlying graph. As a consequence the Swendsen-Wang algorithm for the ferromagnetic Ising model at any temperature has the same polynomial mixing time bound.
Joint work with Mark Jerrum.