Abstract
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.
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[LT]M. Ledoux, M. Talagrand, Probability in Banach spaces, Springer Verlag, 1991.
[T1]M. Talagrand, Regularity of Gaussian processes, Acta Math. 159 (1987), 99–149.
[T2]M. Talagrand, Regularity of infinitely divisible processes, Manuscript, 1990.
[T3]M. Talagrand, The supremum of certain canonical processes, Manuscript, 1990.
[T4]M. Talagrand, A new isoperimetric inequality and the concentration of measure phenomenon, Israel Seminar on Geometric Aspects of Functional Analysis, Springer Verlag, Lecture Notes in Mathematics 1469, 94–124, 1991.
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Talagrand, M. A simple proof of the majorizing measure theorem. Geometric and Functional Analysis 2, 118–125 (1992). https://doi.org/10.1007/BF01895708
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DOI: https://doi.org/10.1007/BF01895708