Epstein curves in the hyperbolic disk equate the Schwarzian action to curve length and enclosed area while equaling the derivative of Loewner energy, yielding immediate non-negativity proofs via isoperimetric inequality.
Random disks of constant curvature: the lattice story.Preprint
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Inner horizon saddles supply the semiclassical correction -exp(A_inner/4G) to near-extremal black-hole entropy and motivate a spectral KSW criterion for well-defined one-loop effects around complex gravitational saddles.
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Inner Horizon Saddles and a Spectral KSW Criterion
Inner horizon saddles supply the semiclassical correction -exp(A_inner/4G) to near-extremal black-hole entropy and motivate a spectral KSW criterion for well-defined one-loop effects around complex gravitational saddles.