Over the past 10-15 years, we have seen a revival of general Levy processes theory as well as a burst of new applications. In the past, Brownian motion or the Poisson process have been considered as appropriate models for most applications. Nowadays, the need for more realistic modelling of irregular behaviour of phen- ena in nature and society like jumps, bursts, and extremeshas led to a renaissance of the theory of general Levy processes. Theoretical and applied researchers in elds asdiverseas quantumtheory, statistical physics, meteorology, seismology, statistics, insurance, nance, and...