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Global-local mixing for one-dimensional intermittent maps

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Global-local mixing for one-dimensional intermittent maps
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19
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CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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We study the properties of infinite-volume mixing for certain classes of expanding one-dimensional maps with indifferent fixed points, preserving an infinite measure. These include the Farey map and the Boole transformation. In particular we focus on the property called global-local mixing, which amounts to the decorrelation of a global and a local observable. This property leads to curious limit theorems, which are peculiar to maps with âstrongly neutral fixed points. Joint work with C. Bonanno and P. Giulietti.