Dynamical stability and Lyapunov exponents for holomorphic endomorphisms of CP(k)
Résumé
We introduce a notion of stability for equilibrium measures in holomorphic families of endomorphisms of CP(k). We characterize the corresponding bifurcations by the strict subharmonicity of the sum of Lyapunov exponents, by the instability of repelling cycles or the instability of critical dynamics. Our methods are based on ergodic theory and on pluripotential theory.
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