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- W2491160177 abstract "Taking as inspiration the Fields Medal work of Artur Avila, I’d like to introduce you to Lyapunov exponents. My plan is to show how Lyapunov exponents play a key role in three areas in which Avila’s results lie: smooth ergodic theory, billiards and translation surfaces, and the spectral theory of 1-dimensional Schrodinger operators. But first, what are Lyapunov exponents? Let’s begin by viewing them in one of their natural habitats. The barycentric subdivision of a triangle is a collection of 6 smaller triangles obtained by joining the midpoints of the sides to opposite vertices. Here’s what happens when you start with an equilateral triangle and repeatedly barycentrically subdivide:" @default.
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- W2491160177 date "2016-09-06" @default.
- W2491160177 modified "2023-10-16" @default.
- W2491160177 title "What are Lyapunov exponents, and why are they interesting?" @default.
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- W2491160177 doi "https://doi.org/10.1090/bull/1552" @default.
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