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A dynamical construction of Liouville domains
Proceedings of the American Mathematical Society ( IF 1 ) Pub Date : 2020-09-04 , DOI: 10.1090/proc/15187
Yang Huang

Abstract:We first present a general construction of Liouville domains as partial mapping tori. Then we study two examples where the (partial) monodromies exhibit certain hyperbolic behavior in the sense of dynamical systems. The first example is based on Smale's attractor, a.k.a., solenoid, and the second example is based on certain hyperbolic toral automorphisms.


中文翻译:

Liouville域的动态构造

摘要:我们首先介绍Liouville域的一般构造,作为部分映射tori。然后,我们研究了两个例子,其中(部分)一元论在动力学系统的意义上表现出某些双曲线行为。第一个示例基于Smale的吸引子(又名螺线管),第二个示例基于某些双曲的圆同构。
更新日期:2020-10-19
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