By Professor Ronald A. Doney (auth.), Jean Picard (eds.)
Lévy approaches, i.e. methods in non-stop time with desk bound and self reliant increments, are named after Paul Lévy, who made the relationship with infinitely divisible distributions and defined their constitution. They shape a versatile category of versions, which were utilized to the learn of garage techniques, coverage probability, queues, turbulence, laser cooling, ... and naturally finance, the place the function that they contain examples having "heavy tails" is especially very important. Their pattern direction behaviour poses various tough and interesting difficulties. Such difficulties, and likewise a few comparable distributional difficulties, are addressed intimately in those notes that mirror the content material of the path given by means of R. Doney in St. Flour in 2005.