A note on refracted L\'evy processes without positive jumps
classification
🧮 math.PR
keywords
formulasrefractedfunctionslevyprocessq-scaleresultswithout
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For a refracted spectrally negative Levy process, we find some new and fantastic formulas for its q-potential measures without killing. Unlike previous results, which are written in terms of the known q-scale functions, our formulas are free of the q-scale functions. This makes our results become extremely important since it is likely that our formulas also hold for a general refracted Levy process.
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