Displaying similar documents to “Basic properties of strong mixing conditions. A survey and some open questions.”

Structure of mixing and category of complete mixing for stochastic operators

Anzelm Iwanik, Ryszard Rębowski (1992)

Annales Polonici Mathematici

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Let T be a stochastic operator on a σ-finite standard measure space with an equivalent σ-finite infinite subinvariant measure λ. Then T possesses a natural "conservative deterministic factor" Φ which is the Frobenius-Perron operator of an invertible measure preserving transformation φ. Moreover, T is mixing ("sweeping") iff φ is a mixing transformation. Some stronger versions of mixing are also discussed. In particular, a notion of *L¹-s.o.t. mixing is introduced and characterized in...

On the rate of strong mixing in stationary Gaussian random fields

Raymond Cheng (1992)

Studia Mathematica

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Rosenblatt showed that a stationary Gaussian random field is strongly mixing if it has a positive, continuous spectral density. In this article, spectral criteria are given for the rate of strong mixing in such a field.