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Random fractals generated by a local gaussian process indexed by a class of functions
ESAIM: Probability and Statistics, Tome 15 (2011), pp. 249-269 Cet article a éte moissonné depuis la source Numdam

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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
Keywords: random fractals, Hausdorff dimension, Wiener process 
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     author = {Coiffard, Claire},
     title = {Random fractals generated by a local gaussian process indexed by a class of functions},
     journal = {ESAIM: Probability and Statistics},
     pages = {249--269},
     year = {2011},
     publisher = {EDP-Sciences},
     volume = {15},
     doi = {10.1051/ps/2010003},
     mrnumber = {2870515},
     zbl = {1277.60067},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/ps/2010003/}
}
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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

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