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

Journal of Mathematical Sciences

Volumn 93, Issue 3, 1999, Pages 270-275

  Bobkov, S G ^a   Houdre C ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33847761564     PISSN: 10723374     EISSN: 15738795     Source Type: Journal    
DOI: 10.1007/BF02364810     Document Type: Article

References (8)

1. S. G. Bobkov, "Extremal properties of half-spaces for log-concave distributions," Ann. Probab. (to appear).
2. S. G. Bobkov and C. Houdré, "Some connections between Sobolev-type inequalities and isoperimetry," Preprint (1995).
3. C. Borell, "The Brunn-Minkowski inequality in Gauss space," Invent. Math., 30, 207-211 (1975).
4. A. Ehrhard, "Symétrisation dans l'espace de Gauss," Math. Scand., 53, 281-301 (1983).
5. H. J. Landau and L. A. Shepp, "On the supremum of a Gaussian process," Sankhya, Ser. A, 32, 369-378 (1970).
6. M. Ledoux, "Isoperimetry and Gaussian analysis," Preprint, École d'été Probab. Saint-Flour (1994).
7. V. N. Sudakov and B. S. Tsirel'son, "Extremal properties of half-spaces for spherically symmetric measures," Zap. Nauchn. Semin. LOMI, 41, 14-24 (1974).
8. M. Talagrand, "Concentration of measure and isoperimetric inequalities in product spaces," Preprint (1994).