RESEARCH ARTICLE

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

  • Xiaocui MA 1,2 ,
  • Fubao XI , 1
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  • 1. School of Mathematics, Beijing Institute of Technology, Beijing 100081, China
  • 2. Department of Mathematics, Jining University, Qufu 273155, China

Received date: 31 Jan 2015

Accepted date: 13 Apr 2015

Published date: 05 Jun 2015

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg

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.

Cite this article

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

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