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arXiv · 2406.15892

Non-Archimedean techniques and dynamical degenerations

Charles Favre·Chen Gong
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Abstract

We develop non-Archimedean techniques to analyze the degeneration of a sequence of rational maps of the complex projective line. We provide an alternative to Luo's method which was based on ultra-limits of the hyperbolic 3-space. We build hybrid spaces using Berkovich theory which enable us to prove the convergence of equilibrium measures, and to determine the asymptotics of Lyapunov exponents.

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Charles Favre, Chen Gong. 2024-06-22. Non-Archimedean techniques and dynamical degenerations. https://arxiv.org/abs/2406.15892

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