Develops hybrid spaces via Berkovich theory to prove convergence of equilibrium measures and asymptotics of Lyapunov exponents for degenerating rational maps on CP1.
Differentiability of relative volumes over an arbitrary non-Archimedean field
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Non-Archimedean techniques and dynamical degenerations
Develops hybrid spaces via Berkovich theory to prove convergence of equilibrium measures and asymptotics of Lyapunov exponents for degenerating rational maps on CP1.