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In this article we study the role of the Green function for the Laplacian in a compact Riemannian manifold as tool for obtaining well-distributed points. In particular, we prove that a sequence of minimizers for the Green energy is asymptotically uniformly distributed. We pay special attention to the case of locally harmonic manifolds.

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We show the existence of weak logarithmic models for any (dicritical or not) holomorphic foliation F of (C 2 , 0) without saddlenodes in its desingularization. The models are written in terms of a representative set of separatrices, whose equisingularity types are controlled by the Milnor number of the foliation.