References

Theorem 1. Lévy processes can be seen as the natural generalisation of the Brownian Motion and due to the existence of jumps they are able to describe probabilistic real world problems in a much better way. In our talk we shortly explain the idea of stochastic and especially of Lévy processes. Furthermore, we introduce the concept of Canadisation , cf. [1] and present the link with the new large class of Meromorphic Lévy processes, cf. Kuznetsov et al. [4] (see also [3]). Their main appeal is an explicit expression as a (possibly infinite) mixture of exponentials for the law of the Lévy process evaluated at a random time. With its help we are able to tackle some questions in finance, insurance and optimal stopping in a different way (cf. Kleinert et al [2])