Dynamics via measurability.
Butler, Svetlana, Rosenblatt, Joseph (2006)
Abstract and Applied Analysis
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Displaying similar documents to “Sections in function spaces”
Dynamics via measurability.
Individual ergodic theorem in a regular space
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Construction of non-constant and ergodic cocycles
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We construct continuous G-valued cocycles that are not cohomologous to any compact constant via a measurable transfer function, provided the underlying dynamical system is rigid and the range group G satisfies a certain general condition. For more general ergodic aperiodic systems, we also show that the set of continuous ergodic cocycles is residual in the class of all continuous cocycles provided the range group G is a compact connected Lie group. The first construction is based on...
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