Approches courantielles \`a la Mellin dans un cadre non archim\'edien

We propose an approach of Mellin type for the approximation of integration currents or the effective realization of normalized Green currents associated with a cycle ${\bigwedge }_1^m[\mathrm{d}\mathrm{i}\mathrm{v}(s_j)]$, where $s_j$ is a meromorphic section of a line bundle ${\mathcal{L}}_j\to U$ over an open $U$ in a good Berkovich space when each ${\mathcal{L}}_j$ has a smooth metric and $ {\rm codim}{U}\big (\bigcap{j \in J} {\rm Supp} [{\rm div (s_j)}] \big)\geq # J$foreveryset$ J \subset {1, …, p } $. We also study the transposition to the non archimedean context of Crofton and King formulas, particularly the approximate realization of Vogel and Segre currents.