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Equivalence of the Poincaré inequality with a transport-chi-square inequality in dimension one

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Publication:456274
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DOI10.1214/ECP.V17-2115zbMath1253.26031arXiv1206.5931OpenAlexW2039357154MaRDI QIDQ456274

Benjamin Jourdain

Publication date: 23 October 2012

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.5931


zbMATH Keywords

Poincaré inequalityWasserstein distancetransport inequalitychi-square pseudo-distance


Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Inequalities involving derivatives and differential and integral operators (26D10)


Related Items (2)

Propagation of chaos for rank-based interacting diffusions and long time behaviour of a scalar quasilinear parabolic equation ⋮ The Poincaré inequality and quadratic transportation-variance inequalities







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