Majorizing Measures and Ultrametric Spaces

Witold Bednorz

Bulletin of the Polish Academy of Sciences. Mathematics (2012)

  • Volume: 60, Issue: 1, page 91-100
  • ISSN: 0239-7269

Abstract

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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.

How to cite

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Witold Bednorz. "Majorizing Measures and Ultrametric Spaces." Bulletin of the Polish Academy of Sciences. Mathematics 60.1 (2012): 91-100. <http://eudml.org/doc/281334>.

@article{WitoldBednorz2012,
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.},
author = {Witold Bednorz},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {sample boundedness; majorizing measure; ultrametric},
language = {eng},
number = {1},
pages = {91-100},
title = {Majorizing Measures and Ultrametric Spaces},
url = {http://eudml.org/doc/281334},
volume = {60},
year = {2012},
}

TY - JOUR
AU - Witold Bednorz
TI - Majorizing Measures and Ultrametric Spaces
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2012
VL - 60
IS - 1
SP - 91
EP - 100
AB - 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.
LA - eng
KW - sample boundedness; majorizing measure; ultrametric
UR - http://eudml.org/doc/281334
ER -

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