Simulation and Chaotic Behavior of Alpha-stable Stochastic Processes

Preliminary remarks; Brownian motion, poisson process, alpha-stable Levy motion; computer simulation of alpha-stable random variables; stochastic integration; spectral representations of stationary processes; computer approximations of continuous time processes; examples of alpha-stable stochastic modelling; convergence of approximate methods; chaotic behaviour of stationary processes; hierarchy of chaos for stable and ID stationary processes. Appendix - a guide to simulation.

Biography

Janicki, Aleksand; Weron, A.