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Global-local mixing for one-dimensional intermittent maps Lenci, Marco


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 â strongly neutral fixed points. Joint work with C. Bonanno and P. Giulietti.

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