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From quantum electrodynamics to posets of planar binary trees

From quantum electrodynamics to posets of planar binary trees

This paper is a brief mathematical excursion which starts from quantum electrodynamics and leads to the Moebius function of the Tamari lattice of planar binary trees, within the framework of groups of tree-expanded series. First we recall Brouder's expansion of the photon and the electron Green's functions on planar binary …