Uniqueness of Aperiodic Kneading Sequences

DOI10.2307/2048057zbMath0677.26002OpenAlexW4255136715MaRDI QIDQ3832796

Karen M. Brucks

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2048057

zbMATH Keywords

kneading sequenceitinerarytrapezoidal function

Mathematics Subject Classification ID

Iteration theory, iterative and composite equations (39B12) Iteration of real functions in one variable (26A18)

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Monotonicity properties of the family of trapezoidal maps ⋮ Hausdorff dimension and measure of basin boundaries

Cites Work

• MSS sequences, colorings of necklaces, and periodic points of \(f(z)=z^ 2-2\)
• Shift-maximal sequences in function iteration: Existence, uniqueness and multiplicity
• On finite limit sets for transformations on the unit interval
• Chaos, Strange Attractors, and Fractal Basin Boundaries in Nonlinear Dynamics
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