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Abstract: In this talk we will give an overview over the enigma of Ultra-High Energy Cosmic Rays (UHECRs) above ~ 1018 eV. After briefly summarizing recent results from the Pierre Auger Observatory, we focus on a few specific aspects from the phenomenological and theoretical point of view: the influence of source distributions and propagation on arrival direction anisotropies, the use of the highest energy particles in Nature for constraining Lorentz symmetry violations, and the interpretation of air shower properties, in particular their muon content, in terms of hadronic interaction models.
Dr. P. Gina Isar