Dynamics of rational maps: Lyapunov exponents, bifurcations, and capacity
- Cite this article as:
- DeMarco, L. Math. Ann. (2003) 326: 43. doi:10.1007/s00208-002-0404-7
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We introduce the homogeneous capacity of compact, circled and pseudoconvex sets K⊂C2 and show that the Levi measure (determined by the geometry of ∂K) is the unique equilibrium measure. Such K⊂C2 correspond to metrics of non-negative curvature on P1, and we obtain a variational characterization of curvature.