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A probabilistic algorithm approximating solutions of a singular PDE of porous media type
A probabilistic algorithm approximating solutions singular PDE
2010/11/19
The object of this paper is a one-dimensional generalized porous media equation (PDE) with possibly discontinuous coefficient $\beta$, which is well-posed as an evolution problem in $L^1(\mathbb{R})$...
Tight Bounds for Mixing of the Swendsen-Wang Algorithm at the Potts Transition Point
the Swendsen-Wang Algorithm the Potts Transition Point
2010/11/19
We study two widely used algorithms for the Potts model on rectangular subsets of the hypercubic lattice Z^d - heat bath dynamics and the Swendsen-Wang algorithm - and prove that, under certain circu...