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The circle packing and Riemann uniformization embedding of the mated-CRT map converges to Liouville quantum gravity
We prove that the mated-CRT map converges to Liouville quantum gravity under circle packing and the Riemann uniformization embedding. The proof is based on our recent work on circle packing and the Riemann uniformization embedding for random planar maps in ergodic-scale free environments, comparison
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