We prove that a large class of expanding maps of the unit interval with a $C^2$-regular indifferent fixed point in 0 and full increasing branches are global-local mixing. This class includes the standard Pomeau-Manneville maps $T(x) = x + x^{p+1}$ mod 1 ($p ge 1$), the Liverani-Saussol-Vaienti maps (with index $p ge 1$) and many generalizations thereof.
Pomeau-Manneville maps are global-local mixing
Claudio Bonanno
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2021-01-01
Abstract
We prove that a large class of expanding maps of the unit interval with a $C^2$-regular indifferent fixed point in 0 and full increasing branches are global-local mixing. This class includes the standard Pomeau-Manneville maps $T(x) = x + x^{p+1}$ mod 1 ($p ge 1$), the Liverani-Saussol-Vaienti maps (with index $p ge 1$) and many generalizations thereof.File in questo prodotto:
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