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Explosion of Lyapunov exponents using non-Archimedean geometry

By Charles Favre

Appears in collection : $p$-adic analytic geometry and differential equations / Géométrie analytique et équations différentielles $p$-adiques

We consider a meromorphic family of endomorphisms of the complex projective space parameterized by the unit disk, and show that the blow-up of the Lyapunov exponent near the origin is controlled by a non-Archimedean quantity.

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Citation data

  • DOI 10.24350/CIRM.V.19154303
  • Cite this video Favre, Charles (30/03/2017). Explosion of Lyapunov exponents using non-Archimedean geometry. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19154303
  • URL https://dx.doi.org/10.24350/CIRM.V.19154303

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