Attracting basins of non-autonomous families

Abstract: The goal of this talk is to explore the basins of non-autonomous or iterative families of automorphisms of $\mathbb{C}^m$ , m ≥ 2, admitting a common attracting fixed point, and their connection to the classical ‘stable manifold theorem’. Further, we affirmatively answer a conjecture (formulated by Fornæss and Stensønes in 2004) on non-autonomous basins, by generalising appropriate techniques from the (iterative) dynamics of Hénon/regular maps in $\mathbb{C}^m$,m ≥ 2. This, also confirms a stronger version of the stable manifold theorem, originally raised as a question by Bedford in 2000. This is a joint work with K. Verma.

complex variablesdynamical systems

Audience: researchers in the topic

CAvid: Complex Analysis video seminar

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