A probabilistic proof of the fundamental gap conjecture via the coupling by reflection

DOI10.1007/s11118-015-9476-3zbMath1342.35191arXiv1303.2459OpenAlexW2047684546WikidataQ122901116 ScholiaQ122901116MaRDI QIDQ283366

Huai-Qian Li, Fu-Zhou Gong, De Jun Luo

Publication date: 13 May 2016

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.2459

zbMATH Keywords

Schrödinger operatorlogarithmic Sobolev inequalityground statespectral gapcoupling by reflection

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Estimates of eigenvalues in context of PDEs (35P15)

Related Items (4)

Erratum to: ``A probabilistic proof of the fundamental gap conjecture via the coupling by reflection ⋮ Sharp lower bound of spectral gap for Schrödinger operator and related results ⋮ A characterization of the rate of change of Ф-entropy via an integral form curvature-dimension condition ⋮ Sharp lower bound for the first eigenvalue of the weighted \(p\)-Laplacian. I

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