Subdiffusive behavior generated by irrational rotations

DOI10.1017/S0143385708000680zbMath1201.37059arXiv0712.2731OpenAlexW2119445689MaRDI QIDQ3399054

François Huveneers

Publication date: 29 September 2009

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.2731

zbMATH Keywords

central limit theoreminterval mapirrational rotation

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Dynamical systems involving maps of the interval (37E05)

Related Items (8)

Deviations of ergodic sums for toral translations. II: Boxes ⋮ A temporal central limit theorem for real-valued cocycles over rotations ⋮ Fast and slow points of Birkhoff sums ⋮ Diffusive behavior of ergodic sums over rotations ⋮ On the CLT for rotations and BV functions ⋮ The visits to zero of a random walk driven by an irrational rotation ⋮ Temporal distributional limit theorems for dynamical systems ⋮ On the CLT for rotations and BV functions

Cites Work

• Unnamed Item
• Sequences, discrepancies and applications
• Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. (On smooth conjugacy of diffeomorphisms of the circle with rotations)
• Statistical properties of Lorentz gas with periodic configuration of scatterers
• Ergodic properties of invariant measures for piecewise monotonic transformations
• KAM theorem and quantum field theory
• Sums of continuous and differentiable functions in dynamical systems
• On the Central Limit Theorem for Dynamical Systems
• Répartition des suites (nα)_n∈Net substitutions
• Microscopic chaos and diffusion

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