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Generalized Brown-Resnick processes form a flexible class of stationarymax-stable processes based on Gaussian random fields. With regard toapplications fast and accurate simulation of these processes is an importantissue. In fact, Brown-Resnick processes that are generated by a dissipativeflow do not allow for good finite approximations using the definition of theprocesses. On large intervals we get either huge approximation errors or verylong operating times. Looking for solutions of this problem, we give differentrepresentations of the generalized Brown-Resnick processes - including randomshifting and a mixed moving maxima representation - and derive various kinds offinite approximations that can be used for simulation purposes. Furthermore,error bounds are calculated in the case of the original process by Brown andResnick (1977).

Simulationsverfahren fuer Brown-Resnick-Prozesse (Simulation Techniques for Brown-Resnick Processes)