Conditional block-size laws and multifractal spectra in block-weighted planar maps match exactly those of Liouville quantum gravity with added atomic measures, with a universal partition-function ratio and one model-specific constant per realization.
Unified study of the phase transition for block-weighted random planar maps.Eurocomb’23, page 790–798, 2023
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Liouville Quantum Duality and Random Planar Maps II
Conditional block-size laws and multifractal spectra in block-weighted planar maps match exactly those of Liouville quantum gravity with added atomic measures, with a universal partition-function ratio and one model-specific constant per realization.