Bo, Lijun; Zhang, Tusheng Large deviations for perturbed reflected diffusion processes. (English) Zbl 1187.60018 Stochastics 81, No. 6, 531-543 (2009). Summary: We establish a large deviation principle for the solutions of perturbed reflected diffusion processes. The key is to prove a uniform Freidlin-Ventzell estimate of perturbed diffusion processes. Cited in 5 Documents MSC: 60F10 Large deviations 60J27 Continuous-time Markov processes on discrete state spaces 60J60 Diffusion processes Keywords:large deviations; perturbed diffusion processes; uniform Freidlin-Ventzell estimates PDFBibTeX XMLCite \textit{L. Bo} and \textit{T. Zhang}, Stochastics 81, No. 6, 531--543 (2009; Zbl 1187.60018) Full Text: DOI References: [1] DOI: 10.1007/BFb0089623 · doi:10.1007/BFb0089623 [2] DOI: 10.1007/BF01204951 · Zbl 0808.60066 · doi:10.1007/BF01204951 [3] DOI: 10.1112/S0024610798006401 · Zbl 0924.60067 · doi:10.1112/S0024610798006401 [4] DOI: 10.1007/s004400050216 · Zbl 0945.60082 · doi:10.1007/s004400050216 [5] DOI: 10.1016/j.anihpb.2004.03.005 · Zbl 1061.60056 · doi:10.1016/j.anihpb.2004.03.005 [6] Doss, H. and Priouret, P. 1983. ”Lecture Notes in Mathematics”. 986New York, NY: Springer. [7] Le Gall J.F., C. R. Acad. Sci. Paris Sér. I 303 pp 73– (1986) [8] DOI: 10.2307/2001484 · Zbl 0696.60072 · doi:10.2307/2001484 [9] DOI: 10.1214/aop/1176989535 · Zbl 0769.60053 · doi:10.1214/aop/1176989535 [10] DOI: 10.3934/dcdsb.2006.6.881 · Zbl 1136.60021 · doi:10.3934/dcdsb.2006.6.881 [11] DOI: 10.1007/s004400050113 · Zbl 0884.60082 · doi:10.1007/s004400050113 [12] Stroock W., Lecture Notes in Mathematics 976, in: Ecole d’Eté de Probabilités de Saint-Flour XI, 1981 (1983) · doi:10.1007/BFb0067987 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.