On Talagrand's Admissible Net Approach to Majorizing Measures and Boundedness of Stochastic Processes

Witold Bednorz. "On Talagrand's Admissible Net Approach to Majorizing Measures and Boundedness of Stochastic Processes." Bulletin of the Polish Academy of Sciences. Mathematics 56.1 (2008): 83-91. <http://eudml.org/doc/281293>.

@article{WitoldBednorz2008,
abstract = {We show that the main result of [1] on sufficiency of existence of a majorizing measure for boundedness of a stochastic process can be naturally split in two theorems, each of independent interest. The first is that the existence of a majorizing measure is sufficient for the existence of a sequence of admissible nets (as recently introduced by Talagrand [5]), and the second that the existence of a sequence of admissible nets is sufficient for sample boundedness of a stochastic process with bounded increments.},
author = {Witold Bednorz},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {majorizing measure; sample boundedness},
language = {eng},
number = {1},
pages = {83-91},
title = {On Talagrand's Admissible Net Approach to Majorizing Measures and Boundedness of Stochastic Processes},
url = {http://eudml.org/doc/281293},
volume = {56},
year = {2008},
}

TY - JOUR
AU - Witold Bednorz
TI - On Talagrand's Admissible Net Approach to Majorizing Measures and Boundedness of Stochastic Processes
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2008
VL - 56
IS - 1
SP - 83
EP - 91
AB - We show that the main result of [1] on sufficiency of existence of a majorizing measure for boundedness of a stochastic process can be naturally split in two theorems, each of independent interest. The first is that the existence of a majorizing measure is sufficient for the existence of a sequence of admissible nets (as recently introduced by Talagrand [5]), and the second that the existence of a sequence of admissible nets is sufficient for sample boundedness of a stochastic process with bounded increments.
LA - eng
KW - majorizing measure; sample boundedness
UR - http://eudml.org/doc/281293
ER -