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math.PR2017
Concentration inequalities for polynomials of contracting Ising models
Reza Gheissari, Eyal Lubetzky, Yuval Peres
We study the concentration of a degree- polynomial of the spins of a general Ising model, in the regime where single-site Glauber dynamics is contracting. For , Gaussia…
math.PR2017
Exponentially slow mixing in the mean-field Swendsen-Wang dynamics
Reza Gheissari, Eyal Lubetzky, Yuval Peres
Swendsen-Wang dynamics for the Potts model was proposed in the late 1980's as an alternative to single-site heat-bath dynamics, in which global updates allow this MCMC sampler to s…
math.PR2017
The effect of boundary conditions on mixing of 2D Potts models at discontinuous phase transitions
Reza Gheissari, Eyal Lubetzky
We study Swendsen--Wang dynamics for the critical -state Potts model on the square lattice. For , where the phase transition is continuous, the mixing time $t_{\textrm{…