Intertwining relations for one-dimensional diffusions and application to functional inequalities
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Publication:471040
DOI10.1007/s11118-014-9408-7zbMath1311.60086arXiv1304.3595OpenAlexW1973880369MaRDI QIDQ471040
Michel Bonnefont, Aldéric Joulin
Publication date: 13 November 2014
Published in: Potential Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1304.3595
Schrödinger operatorlogarithmic Sobolev inequalitydiffusion processSturm-Liouville operatorspectral gapfunctional inequalitiesFeynman-Kac semigroupintertwining relation
Markov semigroups and applications to diffusion processes (47D07) Diffusion processes (60J60) Schrödinger and Feynman-Kac semigroups (47D08)
Related Items (14)
Improved one-sided deviation inequalities under regularity assumptions for product measures ⋮ One-dimensional Fokker-Planck equations and functional inequalities for heavy tailed densities ⋮ First-order covariance inequalities via Stein's method ⋮ Self-improvement of the Bakry-Emery criterion for Poincaré inequalities and Wasserstein contraction using variable curvature bounds ⋮ A note on spectral gap and weighted Poincaré inequalities for some one-dimensional diffusions ⋮ A note on one-dimensional Poincaré inequalities by Stein-type integration ⋮ Entropy-type inequalities for generalized gamma densities ⋮ Spectral gap for spherically symmetric \(\log\)-concave probability measures, and beyond ⋮ A Feynman-Kac approach for logarithmic Sobolev inequalities ⋮ Intertwinings, second-order Brascamp–Lieb inequalities and spectral estimates ⋮ A note on eigenvalues estimates for one-dimensional diffusion operators ⋮ Intertwining relations for diffusions in manifolds and applications to functional inequalities ⋮ On a class of Fokker-Planck equations with subcritical confinement ⋮ Weighted Poincaré inequalities, concentration inequalities and tail bounds related to Stein kernels in dimension one
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