Large deviations for Markov-modulated diffusion processes with rapid switching

@inproceedings{Huang2016LargeDF,
  title={Large deviations for Markov-modulated diffusion processes with rapid switching},
  author={Gang Huang and Michel Mandjes and P. J. C. Spreij},
  year={2016}
}
In this paper, we study small noise asymptotics of Markov-modulated diffusion processes in the regime that the modulating Markov chain is rapidly switching. We prove the joint sample-path large deviations principle for the Markov-modulated diffusion process and the occupation measure of the Markov chain (which evidently also yields the large deviations principle for each of them separately by applying the contraction principle). The structure of the proof is such that we first prove exponential… CONTINUE READING

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