Establishes discrete log-concavity of ground states for convex potentials and extends Reichardt's HWS tunneling analysis to quadratic spikes via new spectral gap bounds.
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3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
years
2026 3verdicts
UNVERDICTED 3representative citing papers
On bounded open convex domains, the first Dirichlet eigenfunction of the Laplacian and Ornstein-Uhlenbeck operator is shown to be α-logconcave for α ≤ 1/2 with explicit scaling thresholds, plus local convexity results and counterexamples for other operators.
Establishes a D^{-3} lower bound on the fundamental gap for large horoconvex domains in hyperbolic space, matching a prior upper bound.
citing papers explorer
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Log-concavity and tunneling: adiabatic quantum optimization for convex functions (with a spike)
Establishes discrete log-concavity of ground states for convex potentials and extends Reichardt's HWS tunneling analysis to quadratic spikes via new spectral gap bounds.
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To $1/2$-logconcavity and beyond: Geometric properties of Dirichlet eigenfunctions
On bounded open convex domains, the first Dirichlet eigenfunction of the Laplacian and Ornstein-Uhlenbeck operator is shown to be α-logconcave for α ≤ 1/2 with explicit scaling thresholds, plus local convexity results and counterexamples for other operators.
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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.