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Surjectivity and Iterated Mappings

open access: yesSurjectivity and Iterated Mappings
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ITERATION OF QUATERNION MAPS

International Journal of Bifurcation and Chaos, 1995
Quaternions are an extension of the idea of complex numbers to four dimensions. We discuss the iteration of linear and quadratic functions of the quaternions, and examine the rôle played by regularity (the analog of complex analyticity), in this context.
Bedding, Stephen, Briggs, Keith
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Iterated Ore polynomial maps

Journal of Algebra and Its Applications, 2023
We study a natural notion of polynomial maps attached to elements of an iterated Ore extension [Formula: see text]. We develop some tools to analyze these maps such as good points, multilinear transformations and P-independence. We also present polynomial maps arising in the Multivariate extensions [Formula: see text], introduced by Martínez-Peñas and
André Leroy, Mehrdad Nasernejad
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Iteration of Quasiconformal Maps

Qualitative Theory of Dynamical Systems
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Zhang, Xu, Wang, Yukai, Chen, Guanrong
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Tilings Described by Iterated Maps

International Journal of Bifurcation and Chaos, 2003
We construct auto-similar tilings of the plane with the same expansion coefficient [Formula: see text], a complex Perron number, from free group endomorphisms characterized by a class of matrices with the same complex Perron eigenvalue λ. We define a relation between the interior and the board of the tiles and obtain some results about topological ...
Rocha, J. Leonel, Sousa Ramos, J.
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Iteration of Quasiregular Mappings

Computational Methods and Function Theory, 2010
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