Denjoy-Wolff定理的非自治形式
A Non-Autonomous Version Of The Denjoy-Wolff Theorem
摘要:
本文的目的是在广义Loewner链的背景下建立著名的Denjoy-Wolff定理。与经典的情况下,本质上收敛到某个点在封闭的单位磁盘是唯一的可能性,几个新的动力学现象出现在这个框架。事实上,$ω$ -极限形成的适当封闭弧的圆周现在出现的自然可能性的渐近动力学行为。
英文摘要:
The aim of this work is to establish the celebrated Denjoy-Wolff Theorem in the context of generalized Loewner chains. In contrast with the classical situation where essentially convergence to a certain point in the closed unit disk is the unique possibility, several new dynamical phenomena appear in this framework. Indeed, $ω$-limits formed by suitable closed arcs of circumferences appear now as natural possibilities of asymptotic dynamical behavior.
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