Stability of the Poincaré constant
نویسندگان
چکیده
We study stability of the sharp Poincaré constant invariant probability measure a reversible diffusion process satisfying some natural conditions. The proof is based on spectral interpretation inequalities and Stein’s method. In particular, these results are applied to gamma distributions, Brownian motion spheres Brascamp-Lieb inequality for one-dimensional log-concave measures.
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ژورنال
عنوان ژورنال: Bernoulli
سال: 2023
ISSN: ['1573-9759', '1350-7265']
DOI: https://doi.org/10.3150/22-bej1499