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Central limit theorems for sequential and random intermittent dynamical systems

  • MATTHEW NICOL (a1), ANDREW TÖRÖK (a1) (a2) and SANDRO VAIENTI (a3) (a4)
Abstract

We establish self-norming central limit theorems for non-stationary time series arising as observations on sequential maps possessing an indifferent fixed point. These transformations are obtained by perturbing the slope in the Pomeau–Manneville map. We also obtain quenched central limit theorems for random compositions of these maps.

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Ergodic Theory and Dynamical Systems
  • ISSN: 0143-3857
  • EISSN: 1469-4417
  • URL: /core/journals/ergodic-theory-and-dynamical-systems
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