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math-ph2026
Liouville Quantum Duality and Random Planar Maps II
Bertrand Duplantier, Emmanuel Guitter
This is Part II of our project on block-weighted planar maps and Liouville quantum duality. Focusing on the scaling properties at the dual critical point, we derive the conditional…
math-ph2025
Liouville Quantum Duality and Random Planar Maps
Bertrand Duplantier, Emmanuel Guitter
We consider models of block-weighted random planar maps in which possibly decorated maps are decomposed canonically into blocks, each block receiving the weight . These maps pre…