Mathematics – Probability
Scientific paper
2007-02-13
Oper.Theory:Adv.Appl. 197 (2010) 337-373
Mathematics
Probability
Scientific paper
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).
Sakhnovich Lev
No associations
LandOfFree
Integral Equations in the Theory of Levy Processes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Integral Equations in the Theory of Levy Processes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Integral Equations in the Theory of Levy Processes will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-409822