Open Access
January, 1993 Regularity of Infinitely Divisible Processes
Michel Talagrand
Ann. Probab. 21(1): 362-432 (January, 1993). DOI: 10.1214/aop/1176989409


We develop new tools that enable us to extend the majorizing measure lower bound to a large class of infinitely divisible processes. We show (in a rigorous sense) that the complexity of these processes is dominated by the complexity of the positive infinitely divisible processes.


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Michel Talagrand. "Regularity of Infinitely Divisible Processes." Ann. Probab. 21 (1) 362 - 432, January, 1993.


Published: January, 1993
First available in Project Euclid: 19 April 2007

zbMATH: 0776.60053
MathSciNet: MR1207231
Digital Object Identifier: 10.1214/aop/1176989409

Primary: 60G17
Secondary: 60B11 , 60E07 , 60G15 , 60G50

Keywords: Bernoulli process , bracketing , concentration of measure , Infinitely divisible , Levy measure , majorizing measure , Rosinski's representation , Sample boundedness

Rights: Copyright © 1993 Institute of Mathematical Statistics

Vol.21 • No. 1 • January, 1993
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