Annales Mathématiques
Blaise Pascal
no. 1
Local time and related sample paths of filtered white noises
Raby Guerbaz1
1 Department of Mathematics Faculty of Sciences Semlalia Cady Ayyad University B.P. 2390 Marrakech MORROCO
Annales mathématiques Blaise Pascal, Tome 14 (2007) no. 1, pp. 77-91.

We study the existence and the regularity of the local time of filtered white noises X={X(t),t∈[0,1]}. We will also give Chung’s form of the law of iterated logarithm for X, this shows that the result on the Hölder regularity, with respect to time, of the local time is sharp.

DOI : 10.5802/ambp.228
Classification : 60G15, 60G17
Mots clés : Local time, Local nondeterminism, Chung’s type law of iterated logarithm, Filtered white noises.

Raby Guerbaz 1

1 Department of Mathematics Faculty of Sciences Semlalia Cady Ayyad University B.P. 2390 Marrakech MORROCO 
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Raby Guerbaz. Local time and related sample paths of filtered white noises. Annales mathématiques Blaise Pascal, Tome 14 (2007) no. 1, pp. 77-91. doi : 10.5802/ambp.228. https://ambp.centre-mersenne.org/articles/10.5802/ambp.228/

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