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- W2046269655 abstract "The study of ergodic theorems from the viewpoint of computable analysis is a rich field of investigation. Interactions between algorithmic randomness, computability theory and ergodic theory have recently been examined by several authors. It has been observed that ergodic measures have better computability properties than non-ergodic ones. In a previous paper we studied the extent to which non-ergodic measures inherit the computability properties of ergodic ones, and introduced the notion of an effectively decomposable measure. We asked the following question: if the ergodic decomposition of a stationary measure is finite, is this decomposition effective? In this paper we answer the question in the negative." @default.
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- W2046269655 date "2013-05-01" @default.
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- W2046269655 title "Computability of the ergodic decomposition" @default.
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- W2046269655 doi "https://doi.org/10.1016/j.apal.2012.11.005" @default.
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