Simulating Level-set Percolation on the Discrete Gaussian Free Field with Arbitrary Conductances: Using a Conjugate Gradient Sampler

Level-set percolation on the Discrete Gaussian Free Field (DGFF) turned out to be a hot topic within mathematical physics over the last couple of years. In particular, the DGFF on Z^d , with homogeneously weighted nearest-neighbour interactions, i.e. all conductances equal to 1, has been studied in detail. These models can be simulated with...