# Near-critical spanning forests and renormalization

@article{Benoist2015NearcriticalSF, title={Near-critical spanning forests and renormalization}, author={St'ephane Benoist and Laure Dumaz and Wendelin Werner}, journal={arXiv: Probability}, year={2015} }

We study random two-dimensional spanning forests in the plane that can be viewed both in the discrete case and in their scaling limit as slight perturbations of an uniformly chosen spanning tree. We show how to relate this scaling limit to a stationary distribution of a natural Markov process on a state of abstract graphs with non-constant edge-weights. This simple Markov process can be viewed as a renormalization flow, so that in this two-dimensional case, one can give a rigorous meaning to… CONTINUE READING

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