Isoperimetry, logarithmic sobolev inequalities on the discrete cube, and margulis' graph connectivity theorem

Author:

Talagrand M.

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology,Analysis

Reference5 articles.

1. [G]L. Gross, Logarithmic Sobolev inequalities, Amer. J. Math. 97, 1061–1083 (1975).

2. [L]M. Ledoux, Isoperimétrie et inegalités de Sobolev logarithmiques gaussiennes, C. R. Acad. Sci. Paris 306, 79–82 (1988).

3. [M]G.A. Margulis, Probabilistic characteristics of graphs with large connectivity, Problemy Peredachi Informatsii 10:2 (1974), 101–108; English translation: Problems Info. Transmission 10 (1977), 174–179, Plenum Press, New York.

4. [P]G. Pisier, Probabilistic methods in the geometry of Banach spaces, in “Probability and Analysis, Varenna (Italy) 1985”, Lecture Notes in Math. 1206, 167–241, Springer Verlag (1986).

5. [R]L. Russo, An approximate zero-law, Zeitschrift für Wahrscheinlichkeitstheorie und Verwandete Gebeite 61, 129–139 (1982).

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