Transport proofs of weighted Poincaré inequalities for log-concave distributions | Zendy

Dario Cordero–Erausquin | Zendy; Nathaël Gozlan | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Transport proofs of weighted Poincaré inequalities for log-concave distributions

Author(s) -

Dario Cordero–Erausquin,

Nathaël Gozlan

Publication year - 2016

Publication title -

bernoulli

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.814

H-Index - 72

eISSN - 1573-9759

pISSN - 1350-7265

DOI - 10.3150/15-bej739

Subject(s) - mathematics , mathematical proof , conjecture , poincaré conjecture , homogeneous space , concave function , variance (accounting) , combinatorics , pure mathematics , regular polygon , geometry , accounting , business

We prove, using optimal transport tools, weighted Poincar'e inequalities for log-concave random vectors satisfying some centering conditions. We recover by this way similar results by Klartag and Barthe-Cordero-Erausquin for log-concave random vectors with symmetries. In addition, we prove that the variance conjecture is true for increments of log-concave martingales.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research