Large deviations for empirical measures of switching diffusion processes with small parameters

Xiaocui MA , Fubao XI

Front. Math. China ›› 2015, Vol. 10 ›› Issue (4) : 949 -963.

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Front. Math. China ›› 2015, Vol. 10 ›› Issue (4) : 949 -963. DOI: 10.1007/s11464-015-0486-7
RESEARCH ARTICLE
RESEARCH ARTICLE

Large deviations for empirical measures of switching diffusion processes with small parameters

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Abstract

We consider the asymptotic property of the diffusion processes with Markovian switching. For a general case, we prove a large deviation principle for empirical measures of switching diffusion processes with small parameters.

Keywords

Switching diffusion process / empirical measure / large deviation

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Xiaocui MA, Fubao XI. Large deviations for empirical measures of switching diffusion processes with small parameters. Front. Math. China, 2015, 10(4): 949-963 DOI:10.1007/s11464-015-0486-7

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