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A Parametrix Approach for some Degenerate Stable Driven SDEs

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 Added by Stephane Menozzi
 Publication date 2014
  fields
and research's language is English




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We consider a stable driven degenerate stochastic differential equation, whose coefficients satisfy a kind of weak H{o}rmander condition. Under mild smoothness assumptions we prove the uniqueness of the martingale problem for the associated generator under some dimension constraints. Also, when the driving noise is scalar and tempered, we establish density bounds reflecting the multi-scale behavior of the process.



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