Shift-maximal sequences in function iteration: Existence, uniqueness and multiplicity
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Publication:1110875
DOI10.1016/0022-247X(86)90001-6zbMath0657.58019OpenAlexW2028117064MaRDI QIDQ1110875
R. Daniel Mauldin, William A. Beyer, Paul R. Stein
Publication date: 1986
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-247x(86)90001-6
Topological dynamics (37B99) Iteration of real functions in one variable (26A18) Measure-theoretic ergodic theory (28D99)
Related Items (18)
Omega-limit sets for shift spaces and unimodal maps ⋮ A metric property of period doubling for nonisosceles trapezoidal maps on an interval ⋮ MSS sequences, colorings of necklaces, and periodic points of \(f(z)=z^ 2-2\) ⋮ Monotonicity properties of the family of trapezoidal maps ⋮ Corrections for two papers by W. A. Beyer and P. R. Stein ⋮ Uniformly recurrent sequences and minimal Cantor omega-limit sets ⋮ On the integrity of kneading sequences of a CO-family of unimodal functions ⋮ One-parameter families of mappings of the interval with negative Schwarzian derivative, in which monotonicity of bifurcations breaks down ⋮ A one-parameter family of unimodal, concave, polynomial maps of the interval exhibiting multiplicities ⋮ Necklaces, MSS sequences, and DNA sequences ⋮ The deconstruction of a fractal ⋮ On the universal sequence generated by a class of unimodal functions ⋮ Application of Gray codes to the study of the theory of symbolic dynamics of unimodal maps ⋮ Hausdorff dimension and measure of basin boundaries ⋮ Quadratic convergence in period doubling to chaos for trapezoid maps ⋮ Estimation of the control parameter from symbolic sequences: Unimodal maps with variable critical point ⋮ Kneading sequences for unimodal expanding maps of the interval ⋮ Uniqueness of Aperiodic Kneading Sequences
Uses Software
Cites Work
- Further results on periods and period doubling for iterates of the trapezoid function
- Iterates of maps on an interval
- On the abundance of aperiodic behaviour for maps on the interval
- A practical guide to splines
- On finite limit sets for transformations on the unit interval
- A computer-assisted proof of the Feigenbaum conjectures
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