Volume 15, 2011
|Page(s)||249 - 269|
|Published online||05 January 2012|
Random fractals generated by a local Gaussian process indexed by a class of functions
LSTA, Université Pierre et Marie Curie, 175 rue du Chevaleret, 75013 Paris, France; email@example.com
Revised: 24 July 2009
In this paper, we extend the results of Orey and Taylor [S. Orey and S.J. Taylor, How often on a Brownian path does the law of the iterated logarithm fail? Proc. London Math. Soc. 28 (1974) 174–192] relative to random fractals generated by oscillations of Wiener processes to a multivariate framework. We consider a setup where Gaussian processes are indexed by classes of functions.
Mathematics Subject Classification: 60J65 / 28A80
Key words: Random fractals / Hausdorff dimension / Wiener process
© EDP Sciences, SMAI, 2011
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