Extremal properties of half-spaces for log-concave distributions

Annals of Probability

Volumn 24, Issue 1, 1996, Pages 35-48

  Bobkov, S ^a  

^a SYKTYVKAR STATE UNIVERSITY   (Russian Federation)

Author keywords

Isoperimetry

Indexed keywords

EID: 0030514140     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/aop/1042644706     Document Type: Article

References (8)

1. BOBKOV, S. G. (1993). Isoperimetric problem for uniform enlargement. Technical Report 394, Dept. Statistics, Univ. North Carolina.
2. BOBKOV, S. G. (1994). Isoperimetric inequalities for distributions of exponential type. Ann. Probab. 22 978-994.
3. BORELL, C. (1974). Convex measures on locally convex spaces. Ark. Mat. 12 239-252.
4. BORELL, C. (1975). The Brunn-Minkowski inequality in Gauss space. Invent. Math. 30 207-216.
5. KURATOWSKI, A. (1966). Topology 1. Academic Press, New York.
6. SUDAKOV, V. N. and TSIREL'SON, B. S. (1978). Extremal properties of half-spaces for spherically invariant measures. J. Soviet Math. 9 9-18. [Translated from Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. 41 (1974) 14-24 (in Russian).]
7. SUDAKOV, V. N. and TSIREL'SON, B. S. (1978). Extremal properties of half-spaces for spherically invariant measures. J. Soviet Math. 9 9-18. [Translated from Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. 41 (1974) 14-24 (in Russian).]
8. TALAGRAND, M. (1991). A new isoperimetric inequality and the concentration of measure phenomenon. Israel Seminar (GAFA). Lecture Notes in Math. 1469 94-124. Springer, Berlin.