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- W4300508725 abstract "In this article we consider the Levy processes and the corresponding semigroup. We represent the generator of this semigroup in a convolution form. Using the obtained convolution form and the theory of integral equations we investigate the properties of a wide class of Levy processes (potential, quasi-potential, the probability of the Levy process remaining within the given domain, long time behavior, stable processes). We analyze in detail a number of concrete examples of the Levy processes (stable processes, the variance damped Levy processes, the variance gamma processes, the normal Gaussian process, the Meixner process, the compound Poisson process)." @default.
- W4300508725 created "2022-10-03" @default.
- W4300508725 creator A5022412490 @default.
- W4300508725 date "2007-02-13" @default.
- W4300508725 modified "2023-09-26" @default.
- W4300508725 title "Integral Equations in the Theory of Levy Processes" @default.
- W4300508725 doi "https://doi.org/10.48550/arxiv.math/0702378" @default.
- W4300508725 hasPublicationYear "2007" @default.
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