Non-Archimedean techniques and dynamical degenerations
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910206113349632 |
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| author | Favre, Charles Gong, Chen |
| author_facet | Favre, Charles Gong, Chen |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_15892 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-Archimedean techniques and dynamical degenerations Favre, Charles Gong, Chen Dynamical Systems Complex Variables 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. |
| title | Non-Archimedean techniques and dynamical degenerations |
| topic | Dynamical Systems Complex Variables |
| url | https://arxiv.org/abs/2406.15892 |