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Stochastic Integration in Banach Spaces
The study of stochastic differential equations (SDEs) driven by Lévy processes in R
originated in the book by Skorokhod [97]. In view of the Lévy–Itô decomposition,
he reduced the problem of studying such SDEs to the analysis of SDEs driven by
compensated Poisson random measures (cPrms) and Brownian motion, under a mild
restriction [97]. He was aware of the fact that the restriction can be removed. Recently,
following initial work of Eberlein and Özkan [27], these SDEs have been found to
arise in finance as term structure models for interest rates, volatility in market indices
[9] and in the study of flows with applications to pseudo-differential equations [16].
The more general SDEs studied in [36] arise in polymer models [24].
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