Ergodic properties of infinite measure-preserving interval maps with indifferent fixed points

By Roland Zweimüller. Ergodic Theory and Dynamical Systems, 2000

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Distributional limit theorems in infinite ergodic theory (2006, methodology): “Checking them for specific systems like interval maps with indifferent fixed points is a nontrivial matter, cf. [A2], [T3], and [ Z2 ].”
Operator renewal theory and mixing rates for dynamical systems with infinite measure (2010, background): “Whereas the results of [38, 45] yield uniform convergence of ∑n j=1L v (and of Lv when β = 1) on compact subsets of (0, 1] if and only if qβ ≥ 1, our results apply for (1 + q)β > 1.”