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QCD at forward rapidity, in ultra-peripheral collisions, and multi-parton interactions

The LHC is a unique laboratory to perform studies of diffractive processes, photon-induced reactions and multi-parton interactions and explore various aspects of non-perturbative QCD such as Pomeron structure, low-x evolution of parton density functions and the dynamics of hadron collisions at non-perturbative scales. Recent results on these subjects from the ALICE, ATLAS, CMS, LHCb and TOTEM collaborations at the LHC are reviewed.