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Asymptotic Expansion for Distribution of Markovian Random Motion

Probability 2012-03-21 v1

Abstract

In this paper we study an asymptotic expansion for the distribution of a random motion of a particle driven by a Markov process in diffusion approximation. We show that the singularly perturbed equation of a Markovian random motion can be reduced to the regularly perturbed equation for the distribution of the random motion.

Keywords

Cite

@article{arxiv.1203.4528,
  title  = {Asymptotic Expansion for Distribution of Markovian Random Motion},
  author = {A. Pogorui},
  journal= {arXiv preprint arXiv:1203.4528},
  year   = {2012}
}