Searching Arxiv, refresh for possibly better results.

Latest in 60k35 (primary), 68q87 (secondary)

total 2took 0.01s
Upper bounds on the percolation correlation lengthFeb 08 2019We study the size of the near-critical window for Bernoulli percolation on $\mathbb Z^d$. More precisely, we use a quantitative Grimmett-Marstrand theorem to prove that the correlation length, both below and above criticality, is bounded from above by ... More
Swendsen-Wang is faster than single-bond dynamicsJan 27 2012Jan 18 2014We prove that the spectral gap of the Swendsen-Wang dynamics for the random-cluster model is larger than the spectral gap of a single-bond dynamics, that updates only a single edge per step. For this we give a representation of the algorithms on the joint ... More