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Pomeau-Manneville maps are global-local mixing (1911.02913v3)
Published 7 Nov 2019 in math.DS
Abstract: We prove that a large class of expanding maps of the unit interval with a $C2$-regular indifferent 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.
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