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The Gaussian isoperimetric inequality and transportation

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Publication:1417876
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DOI10.1023/A:1026242611940zbMath1033.60011OpenAlexW2298558484MaRDI QIDQ1417876

Gordon Blower

Publication date: 6 January 2004

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1026242611940


zbMATH Keywords

transportationlogarithmic Sobolev inequalityOrlicz spacesisoperimetric function


Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Integration on manifolds; measures on manifolds (58C35) Functional inequalities, including subadditivity, convexity, etc. (39B62)


Related Items (5)

The free logarithmic Sobolev and the free transportation cost inequalities by time integrations ⋮ Mass transportation proofs of free functional inequalities, and free Poincaré inequalities ⋮ SYMMETRIZED TALAGRAND INEQUALITIES ON EUCLIDEAN SPACES ⋮ Transportation on spheres via an entropy formula ⋮ Weighted Csiszár-Kullback-Pinsker inequalities and applications to transportation inequalities




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