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- W74583011 abstract "This chapter focuses on a problem that is connected with the relationship between the convergence properties of the averages for nonsingular transformations of a measure space and the classification of such transformations up to orbital equivalence. The method of the proof presented in the chapter shows that many cutting and stacking constructions can be embedded into a given orbital class. The chapter presents Chacon's example of divergence of ergodic averages. It also presents the definition of the asymptotic ratio set r(τ) for a nonsingular ergodic transformation τ." @default.
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- W74583011 date "1991-01-01" @default.
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- W74583011 title "DIVERGENCE OF ERGODIC AVERAGES AND ORBITAL CLASSIFICATION OF NON-SINGULAR TRANSFORMATIONS" @default.
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- W74583011 doi "https://doi.org/10.1016/b978-0-12-085520-9.50019-8" @default.
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