• Corpus ID: 251564190

Drift reduction method for SDEs driven by inhomogeneous singular L{\'e}vy noise

@inproceedings{Kulczycki2022DriftRM,
  title={Drift reduction method for SDEs driven by inhomogeneous singular L\{\'e\}vy noise},
  author={Tadeusz Kulczycki and Oleksii Kulyk and Michał Ryznar},
  year={2022}
}
. We study SDE where Z = ( Z 1 ,...,Z d ) T , with Z i ,i = 1 ,...,d being independent one-dimensional symmetric jump L´evy processes, not necessarily identically distributed. In par- ticular, we cover the case when each Z i is one-dimensional symmetric α i -stable process ( α i ∈ (0 , 2) and they are not necessarily equal). Under certain assumptions on b , A and Z we show that the weak solution to the SDE is uniquely defined and Markov, we provide a representation of the transition probability… 

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