Small Random Perturbations for Dynamical Systems with Reflecting Boundary in Besov-Orlicz Space

D. M. Rakotonirina; J. H. Andriatahina; T. J. Rabeherimanana

doi:10.9734/JAMCS/2017/34443

Research Article Open access CC BY 4.0

Small Random Perturbations for Dynamical Systems with Reflecting Boundary in Besov-Orlicz Space

D. M. Rakotonirina, J. H. Andriatahina, T. J. Rabeherimanana

Journal of Advances in Mathematics and Computer Science · pp. 1–16 · Published 4 Jul 2017

10.9734/JAMCS/2017/34443

Abstract

This paper is devoted to prove Freidlin & Wentzell estimations for diffusion processes with reflecting boundary using a modification of Azencott’s method in Besov-Orlicz space defined by the Young function M2(x) = exp(x2) − 1.

Large deviations principle perturbed diffusion processes with reflecting boundary Besov-Orlicz space.

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D. M. Rakotonirina, J. H. Andriatahina, T. J. Rabeherimanana (2017). Small Random Perturbations for Dynamical Systems with Reflecting Boundary in Besov-Orlicz Space. Journal of Advances in Mathematics and Computer Science , 1–16. https://doi.org/10.9734/JAMCS/2017/34443

Affiliations

D. M. Rakotonirina — Department of Mathematics and Informatica, Sciences and Technology Domain, Antananarivo University, B.P. 906, Ankatso 101, Madagascar.
J. H. Andriatahina — Department of Mathematics and Informatica, Sciences and Technology Domain, Antananarivo University, B.P. 906, Ankatso 101, Madagascar.
T. J. Rabeherimanana — Department of Mathematics and Informatica, Sciences and Technology Domain, Antananarivo University, B.P. 906, Ankatso 101, Madagascar.

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