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Majorizing Measures and Ultrametric Spaces

Volume 60 / 2012

Witold Bednorz Bulletin Polish Acad. Sci. Math. 60 (2012), 91-100 MSC: Primary 60G17; Secondary 28A99. DOI: 10.4064/ba60-1-7

Abstract

Talagrand's proof of the sufficiency of existence of a majorizing measure for the sample boundedness of processes with bounded increments used a contraction from a certain ultrametric space. We give a short proof of existence of such an ultrametric using admissible sequences of nets.

Authors

  • Witold BednorzInstitute of Mathematics
    Warsaw University
    02-097 Warszawa, Poland
    e-mail

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