Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Infinite mixing for one-dimensional maps with an indifferent fixed point   We study the properties of `infinite-volume mixing' for two classes of
intermittent maps: expanding maps $[0,1] \longrightarrow [0,1]$ with an
indifferent fixed point at 0 preserving an infinite, absolutely continuous
measure, and expanding maps $\mathbb{R}^+ \longrightarrow \mathbb{R}^+$ with an
indifferent fixed point at $+\infty$ preserving the Lebesgue measure. All maps
have full branches. While certain properties are easily adjudicated, the
so-called global-local mixing, namely the decorrelation of a global and a local
observable, is harder to prove. We do this for two subclasses of systems. The
first subclass includes, among others, the Farey map. The second class includes
the standard Pomeau-Manneville map $x \mapsto x+x^2$ mod 1. Morevoer, we use
global-local mixing to prove certain limit theorems for our intermittent maps.

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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
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The categories of this paper are: physics
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The categories of this paper are: bayes-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys
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The categories of this paper are: stat
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The categories of this paper are: q-bio
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The categories of this paper are: cond-mat
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: atom-ph