Abstract
We study a class of stationary sequences having spectral representation ( M(τ n A)) nϵ Z , where A is a set in a measure space ( E, E , μ), τ is an invertible measure-preserving transformation on ( E, E , μ), and M is a random measure on ( E, E , μ). We explore the relationship between the ergodic properties of the sequence and the properties of τ, and construct examples with various ergodic properties using a stacking method on the half-line [0, ∞).
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