Chapter 8 - On the Lyapunov Exponents of the Kontsevich–Zorich Cocycle

By G. Forni. 2006

72 citations recorded by the source corpus.

Subfields: Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/183874c1440e65919324348ad9d26a7e15d77136

How researchers see this paper

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In Mathematical Physics

1. Martin Möller
2. Carlos Matheus
3. Dawei Chen
4. Martin Moeller
5. J. Yoccoz
6. A. Zorich
7. Marcelo Viana
8. A. Wright

In Statistical and Nonlinear Physics

1. Carlos Matheus
2. J. Yoccoz
3. Martin Möller
4. Martin Moeller
5. Dawei Chen
6. Marcelo Viana
7. Alexander I. Bufetov

Citations in the corpus

• Nonvarying sums of Lyapunov exponents of Abelian differentials in low genus (2011, background): “The square-tiled surface (X : y6 = x(x − 1)(x − t), ω = dx/y) found by Forni and Matheus [FM] has maximally degenerate Lyapunov spectrum, i.e.”
• A criterion for the simplicity of the Lyapunov spectrum of square-tiled surfaces (2013, background): “For instance, the moduli space of genus 3 translation surfaces with 4 simple zeroes contains the example cited earlier [Fo2] with totally degenerate Lyapunov spectrum.”