Random fractals generated by a local gaussian process indexed by a class of functions
ESAIM: Probability and Statistics, Tome 15 (2011), pp. 249-269.

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.

DOI : 10.1051/ps/2010003
Classification : 60J65, 28A80
Mots clés : random fractals, Hausdorff dimension, Wiener process
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Coiffard, Claire. Random fractals generated by a local gaussian process indexed by a class of functions. ESAIM: Probability and Statistics, Tome 15 (2011), pp. 249-269. doi : 10.1051/ps/2010003. http://www.numdam.org/articles/10.1051/ps/2010003/

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