On the Geometry of Log-Concave Probability Measures with Bounded Log-Sobolev Constant

P. Stavrakakis; P. Valettas

Journal Article

On the Geometry of Log-Concave Probability Measures with Bounded Log-Sobolev Constant

Stavrakakis P
Valettas P

Fields Institute Communications (2013) 68 359-380

DOI: 10.1007/978-1-4614-6406-8_17

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Abstract

Let LSlc(κ) denote the class of log-concave probability measures μ on ℝn which satisfy the logarithmic Sobolev inequality with a given constant κ > 0. We discuss LSlc(κ) from a geometric point of view and we focus on related open questions. © Springer Science+Business Media New York 2013.

Author supplied keywords

(τ)-property
Log-Sobolev inequality
ψ2-measures

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Stavrakakis, P., & Valettas, P. (2013). On the Geometry of Log-Concave Probability Measures with Bounded Log-Sobolev Constant. Fields Institute Communications, 68, 359–380. https://doi.org/10.1007/978-1-4614-6406-8_17

On the Geometry of Log-Concave Probability Measures with Bounded Log-Sobolev Constant

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