论文信息 - A simple proof of the majorizing measure theorem

A simple proof of the majorizing measure theorem

We gieve a completely elementary proof of the existence of majorizing measures for bounded Gaussian processes. The proof relies upon Sudakov's minoration, the concentration of measure phenomenon, and a (somewhat deceptively) simple construction.

M. Talagrand

[1] M. Talagrand. Regularity of gaussian processes , 1987 .

[2] M. Talagrand. A new isoperimetric inequality and the concentration of measure phenomenon , 1991 .

[3] M. Talagrand,et al. Probability in Banach spaces , 1991 .

[4] Michel Talagrand,et al. Regularity of Infinitely Divisible Processes , 1993 .