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arXiv · 1608.02843

What are Lyapunov exponents, and why are they interesting?

Amie Wilkinson
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Abstract

This expository paper, based on a Current Events Bulletin talk at the January, 2016 Joint Meetings, introduces the concept of Lyapunov exponents and discusses the role they play in three areas: smooth ergodic theory, Teichm\"uller theory, and the spectral theory of one-frequency Schr\"odinger operators. The inspiration for this paper is the work of 2014 Fields Medalist Artur Avila, and his work in these areas is given special attention.

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Amie Wilkinson. 2016-08-09. What are Lyapunov exponents, and why are they interesting?. https://arxiv.org/abs/1608.02843

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