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- W1997140968 abstract "Dans cet article nous demontrons le principe de grandes déviations de Freidlin et Wentzeii pour les diffusions suivant la topologie de l'espace de Besov-Orlicz. Nous étendons ainsi le résultat de Ben Arous et Ledoux [3] concernant le cas höldérien et celui de Roynetie [16] tiaitant le cas du mouvement brownien en norrne de Besov Comme application on établit la loi fonctionnelle du Logarithme itéré de Strassen pour l'aire de Lévy en norme de Besov-Orlicz. Cette loi est plus fine que celle obtenue par N'zi et Eddahbi [14] avec la norme Hölderienne In this paper, we prove a Freidlin-Wentzell large deviations principle in Besov-Orlicz space for diffusion processes. Our result is an extension of that of Ben-Arous and Ledoux [3] who have treated the Hölder norm case and that of Roynette [16] who have considered Brownian motion in Besov space. As an application, we establish a Strassen's law of the iterated logarithm for Lévy's area process. This law is more sharper than the one in Hölder norm obtained by N'zi and Eddahbi [14]" @default.
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- W1997140968 date "1999-02-01" @default.
- W1997140968 modified "2023-10-17" @default.
- W1997140968 title "Grandes deviations des diffusions sur les espaces de besov-orlicz et application" @default.
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- W1997140968 doi "https://doi.org/10.1080/17442509908834182" @default.
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