A dynamical construction of liouville domains

Yang Huang

doi:10.1090/proc/15187

A dynamical construction of liouville domains

Yang Huang^*

^*Corresponding author for this work

Research output: Contribution to journal › Journal article › Research › peer-review

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.

Original language	English
Journal	Proceedings of the American Mathematical Society
Volume	148
Issue number	12
Pages (from-to)	5323-5330
ISSN	0002-9939
DOIs	https://doi.org/10.1090/proc/15187
Publication status	Published - Dec 2020

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10.1090/proc/15187

https://arxiv.org/pdf/1910.14132.pdf

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title = "A dynamical construction of liouville domains",

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AB - 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.

U2 - 10.1090/proc/15187

DO - 10.1090/proc/15187

M3 - Journal article

AN - SCOPUS:85094812896

SN - 0002-9939

VL - 148

SP - 5323

EP - 5330

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

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A dynamical construction of liouville domains

Abstract

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