Transfinite function iteration and surreal numbers

DOI10.1006/AAMA.1996.0513zbMath0999.12016OpenAlexW2042560464MaRDI QIDQ678612

James D. Louck, William A. Beyer

Publication date: 27 November 2001

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aama.1996.0513

zbMATH Keywords

inversestent mapsurreal numberstransfinite iterates

Mathematics Subject Classification ID

Topological dynamics (37B99) Iteration theory, iterative and composite equations (39B12) Connections between field theory and logic (12L99) Iteration of real functions in one variable (26A18) Low-dimensional dynamical systems (37E99) Ordinal and cardinal numbers (03E10)

Related Items (2)

Conway numbers and iteration theory ⋮ Adjacency and parity relations of words in discrete dynamical systems

Cites Work

• Conway numbers and iteration theory
• Invariant measures for many-one transformations
• Classification of all cycles of the parabolic map
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