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arxiv: 1103.4371 · v1 · pith:7T462ESWnew · submitted 2011-03-22 · 🧮 math.PR

Can time-homogeneous diffusions produce any distribution?

classification 🧮 math.PR
keywords diffusionsdistributiongiventime-homogeneousaffirmativelyallowedanswercentred
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Given a centred distribution, can one find a time-homogeneous martingale diffusion starting at zero which has the given law at time 1? We answer the question affirmatively if generalized diffusions are allowed.

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