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The usual Feynman graph expansions in physics lead to divergent powers series which are only asymptotic. This is due to the fact that there are too many graphs at a given order. We propose to resolve this issue by expanding over trees only. This is based on https://arxiv.org/abs/1712.05670 (joint work with V. Rivasseau and V. Sazonov).
Fabien Vignes-Tourneret