Characterization of Gaussian measures by the isoperimetric property of half-spaces

DOI10.1007/BF02364810zbMath0924.60009OpenAlexW1968899263MaRDI QIDQ1291965

Christian Houdré, Sergey G. Bobkov

Publication date: 13 July 1999

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02364810

zbMATH Keywords

isoperimetric inequalityGaussian measure

Mathematics Subject Classification ID

Gaussian processes (60G15) Inequalities and extremum problems involving convexity in convex geometry (52A40) Probability theory on linear topological spaces (60B11)

Related Items (3)

Isoperimetry and stability of hyperplanes for product probability measures ⋮ Autour de l'inégalité de Brunn-Minkowski ⋮ Extremal properties of central half-spaces for product measures

Cites Work

• Concentration of measure and isoperimetric inequalities in product spaces
• Extremal properties of half-spaces for log-concave distributions
• Symétrisation dans l'espace de Gauss.
• Unnamed Item

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