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2008 Path properties of a class of locally asymptotically self similar processes
Brahim Boufoussi, Marco Dozzi, Raby Guerbaz
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Electron. J. Probab. 13: 898-921 (2008). DOI: 10.1214/EJP.v13-505

Abstract

Various paths properties of a stochastic process are obtained under mild conditions which allow for the integrability of the characteristic function of its increments and for the dependence among them. The main assumption is closely related to the notion of local asymptotic self-similarity. New results are obtained for the class of multifractional random processes.

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Brahim Boufoussi. Marco Dozzi. Raby Guerbaz. "Path properties of a class of locally asymptotically self similar processes." Electron. J. Probab. 13 898 - 921, 2008. https://doi.org/10.1214/EJP.v13-505

Information

Accepted: 9 May 2008; Published: 2008
First available in Project Euclid: 1 June 2016

zbMATH: 1191.60046
MathSciNet: MR2413288
Digital Object Identifier: 10.1214/EJP.v13-505

Subjects:
Primary: 60H10
Secondary: 35K55 , 60H30

Keywords: Hausdorff dimension , Level sets , local asymptotic self-similarity , local non-determinism , Local times

Vol.13 • 2008
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