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arXiv · 1704.07108

Zero Entropy for Some Birational Maps of C^2

Anna Cima·Sundus Zafar
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Abstract

This work deals with a special case of family of birational maps f : C2 -> C2 dynamically classified in [9]. In this work we study the zero entropy sub families of f. The sequence of degrees dn associated to the iterates of f is found to grow periodically, linearly, quadratically or exponentially. Explicit invariant fibrations for zero entropy families and all the integrable and periodic mappings inside the family f are given.

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Anna Cima, Sundus Zafar. 2017-04-24. Zero Entropy for Some Birational Maps of C^2. https://arxiv.org/abs/1704.07108

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