Dynamics of typical Baire-1 functions on the interval

DOI10.1515/jaa-2017-0009zbMath1379.54034OpenAlexW2768682825MaRDI QIDQ1684021

Timothy H. Steele

Publication date: 4 December 2017

Published in: Journal of Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jaa-2017-0009

zbMATH Keywords

\(\omega\)-limit setgenericodometerBaire-1 function

Mathematics Subject Classification ID

Related Items (12)

Dynamics of interval maps generated by erasing substitutions ⋮ The critical exponent functions ⋮ Dynamics of measurable functions on the interval ⋮ Iterates of Borel functions ⋮ Dynamics of Baire-1 functions on the interval ⋮ Generic \(\delta\)-chaos for erasing interval maps ⋮ On chain recurrent sets of typical bounded Baire one functions ⋮ Dynamics of typical Baire-1 functions on a compact \({n}\)-manifold ⋮ The space of \(\omega\)-limit sets for Baire-1 functions on the interval ⋮ Dynamics of Baire-2 functions on the interval ⋮ The dynamics of a typical measurable function are determined on a zero measure set ⋮ On dynamics of families of equi-Baire one functions on metric spaces

Cites Work

• Graph theoretic structure of maps of the Cantor space
• Some typical results on bounded Baire 1 functions
• Dynamics in one dimension
• A characterization of adding machine maps
• Ubiquity of odometers in topological dynamical systems
• Continuity and chaos in discrete dynamical systems
• Dynamics of Typical Continuous Functions
• Liapunov stability and adding machines
• Dynamics of Typical Continuous Functions
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