Develops hybrid spaces via Berkovich theory to prove convergence of equilibrium measures and asymptotics of Lyapunov exponents for degenerating rational maps on CP1.
R esultant and conductor of ge- ometrically semi-stable self maps of the projective line ov er a number field or function 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.