Explicit expressions for the Loewner energy I^L are obtained as Fredholm determinants of a new operator Λ_φ on the welding homeomorphism, with φ Weil-Petersson precisely when Λ_φ is Hilbert-Schmidt.
Conformal weldings of random surfaces: SLE and the quantum gravity zipper.Ann
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Quantum natural time QLE(γ², η) is constructed for a new parameter range, shown to have three phases, stationary unexplored surfaces, and quantum disk cut-outs.
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.
citing papers explorer
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On the Loewner energy of a welding homeomorphism
Explicit expressions for the Loewner energy I^L are obtained as Fredholm determinants of a new operator Λ_φ on the welding homeomorphism, with φ Weil-Petersson precisely when Λ_φ is Hilbert-Schmidt.
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Quantum Loewner evolution in quantum natural time: phases and Markov properties
Quantum natural time QLE(γ², η) is constructed for a new parameter range, shown to have three phases, stationary unexplored surfaces, and quantum disk cut-outs.
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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.