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arxiv: 1203.4528 · v1 · pith:MB43PNY4new · submitted 2012-03-20 · 🧮 math.PR

Asymptotic Expansion for Distribution of Markovian Random Motion

classification 🧮 math.PR
keywords motionrandomdistributionasymptoticequationexpansionmarkovianperturbed
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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.

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