Develops hybrid spaces via Berkovich theory to prove convergence of equilibrium measures and asymptotics of Lyapunov exponents for degenerating rational maps on CP1.
Geometry and dynamics of quadratic ration al maps (with an appendix by J
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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.