Connectivity properties of the adjacency graph of SLE$_\kappa$ bubbles for $\kappa \in (4,8)$
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Abstract
We study the adjacency graph of bubbles---i.e., complementary connected components---of an SLE
Our proofs are based on an encoding of SLE
The above encoding comes from the theory of Liouville quantum gravity (LQG), but the paper can be read without any knowledge of LQG if one takes the encoding as a black box.