Large deviations of diffusions on Besov-Orlicz spaces (Q1376550)

The authors prove the large deviations principle of Freidlin-Wentzell for the diffusions relative to the topology of the Besov-Orlicz space. Since this topology is stronger than the topology of Hölderian functions with \(\alpha<1/2\), and also the norm of Besov spaces \(B_{\alpha,p,q}\) with \(\alpha<1/2\), \(q<+\infty\), their result extends the result of \textit{G. Ben-Arous} and \textit{M. Ledoux} [in: Séminaire de probabilités XXVIII. Lect. Notes Math. 1583, 293-299 (1994; Zbl 0811.60019)].