SOME MIXING CONDITIONS FOR STATIONARY SYMMETRICAL STABLE STOCHASTIC-PROCESSES

[摘要] We derive some necessary and sufficient conditions for mixing of non-Gaussian stationary symmetric stable processes in terms of the spectral representation, and derive additional conditions for the special case where the spectral representation itself is stationary. We also define equivalence relations on symmetric stable processes, and then show that the mixing property respects the equivalence relations.

[发布日期] 1994-07-01

[关键词] WEAK MIXING;ERGODICITY;REGULAR SET ISOMORPHISM