Conway numbers and iteration theory

DOI10.1006/aama.1996.0507zbMath0874.11030OpenAlexW2064178126MaRDI QIDQ675902

James D. Louck

Publication date: 24 April 1997

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

Full work available at URL: https://doi.org/10.1006/aama.1996.0507

zbMATH Keywords

symbolic dynamicsiteration of continuous functionsLR-sequencessurreal numbers

Mathematics Subject Classification ID

Combinatorics on words (68R15) Topological dynamics (37B99) Radix representation; digital problems (11A63) Low-dimensional dynamical systems (37E99) Sequences and sets (11B99)

Related Items

Transfinite function iteration and surreal numbers ⋮ Problems in combinatorics on words originating from discrete dynamical systems ⋮ Adjacency and parity relations of words in discrete dynamical systems

Cites Work

• Transfinite function iteration and surreal numbers
• Further results on periods and period doubling for iterates of the trapezoid function
• A metric property of period doubling for nonisosceles trapezoidal maps on an interval
• MSS sequences, colorings of necklaces, and periodic points of \(f(z)=z^ 2-2\)
• Maximal words connected with unimodal maps
• Classification of all cycles of the parabolic map
• Quantitative universality for a class of nonlinear transformations
• On finite limit sets for transformations on the unit interval
• Period Three Implies Chaos
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