8 citations · 11 across the 12 of their papers we have counts for
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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★ 2 cited
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{…