The horoconvex fundamental gap in real hyperbolic space has sharp D^{-3} scale whose leading constant is given by a variational formula over admissible deficits V involving the nonlocal operator T_n.
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Establishes a D^{-3} lower bound on the fundamental gap for large horoconvex domains in hyperbolic space, matching a prior upper bound.
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A Large-Diameter Fundamental-Gap Lower Bound for Horoconvex Domains
Establishes a D^{-3} lower bound on the fundamental gap for large horoconvex domains in hyperbolic space, matching a prior upper bound.