Periodically correlated and multivariate symmetric stable‎ ‎processes related to periodic and cyclic flows

‎In this work we introduce and study discrete time periodically correlated stable‎ ‎processes and multivariate stationary stable processes related to periodic and cyclic‎ ‎flows‎. ‎Our study involves producing a spectral representation and a‎ ‎spectral identification for such processes‎. ‎We show that the third‎ ‎component of a periodically correlated stable process has a component related to a‎ ‎periodic-cyclic flow‎.