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2001
The Parikh mapping maps each word over an alphabet with n letters to an n-dimensional vector whose components give the number of occurrences of the letters in the word. We consider the Parikh images of sequences and languages obtained by iterated applications of morphisms (or sets of substitutions). Furthermore we modify the Parikh mapping such that it
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The Parikh mapping maps each word over an alphabet with n letters to an n-dimensional vector whose components give the number of occurrences of the letters in the word. We consider the Parikh images of sequences and languages obtained by iterated applications of morphisms (or sets of substitutions). Furthermore we modify the Parikh mapping such that it
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Affine Mappings in Iterated Function Systems
Results in Mathematics, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fractional iterates for n-dimensional maps
Applied Mathematics and Computation, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Iteration of Contractions and Analytic Maps
Journal of the London Mathematical Society, 1990The Denjoy-Wolff theorem states that if f is an analytic map of the unit disc into itself, then the iterates \(f^ n\) converge to some point in the closure of the unit disc. Excluding Möbius maps, each f is a contraction with respect to the hyperbolic metric. The result is generalized to contractions of Hadamard and visibility n-dimensional manifolds.
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A Fibonicacci-Like Iterated Nonlinear Map
1990We study a second-order Fibonacci-like iterated nonlinear map that contains two parameters of which one is kept fixed, whereas the other one varies from 0 to 1. This gives rise to some complicated behavior which is displayed in a few interesting pictures.
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