Geodesic
On Talagrand's Admissible Net Approach to Majorizing Measures and Boundedness of Stochastic Processes
Witold Bednorz1
1 Department of Mathematics University of Warsaw Banacha 2 02-097 Warszawa, Poland
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 56 (2008) no. 1, pp. 83-91 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We show that the main result of \cite{Bed1} 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 \cite{Tal2}), and the second that the existence of a sequence of admissible nets is sufficient for sample boundedness of a stochastic process with bounded increments.
DOI : 10.4064/ba56-1-10
Keywords: main result cite bed sufficiency existence majorizing measure boundedness stochastic process naturally split theorems each independent interest first existence majorizing measure sufficient existence sequence admissible nets recently introduced talagrand cite tal second existence sequence admissible nets sufficient sample boundedness stochastic process bounded increments

Witold Bednorz 1

1 Department of Mathematics University of Warsaw Banacha 2 02-097 Warszawa, Poland 
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Witold Bednorz. On Talagrand's Admissible Net Approach to Majorizing Measures and Boundedness of Stochastic Processes. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 56 (2008) no. 1, pp. 83-91. doi: 10.4064/ba56-1-10

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