# Critical exponents for a percolation model on transient graphs

@inproceedings{Drewitz2021CriticalEF, title={Critical exponents for a percolation model on transient graphs}, author={Alexander Drewitz and Alexis Pr'evost and Pierre-François Rodr{\'i}guez}, year={2021} }

We consider the bond percolation problem on a transient weighted graph induced by the excursion sets of the Gaussian free field on the corresponding cable system. Owing to the continuity of this setup and the strong Markov property of the field on the one hand, and the links with potential theory for the associated diffusion on the other, we rigorously determine the behavior of various key quantities related to the (near-)critical regime for this model. In particular, our results apply in case…

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