Develops hybrid spaces via Berkovich theory to prove convergence of equilibrium measures and asymptotics of Lyapunov exponents for degenerating rational maps on CP1.
Bifurcation currents in holomorph ic families of rational maps
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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.