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We review the peculiarities that make neutrino a very special cosmicmessenger in high-energy astrophysics, and, in particular, to provide possibleindications of deviations from special relativity, as it is suggestedtheoretically by quantum gravity models. In this respect, we examine theeffects that one could expect in the production, propagation, and detection ofneutrinos, not only in the well-studied scenario of Lorentz InvarianceViolation, but also in models which maintain, but deform, the relativityprinciple, such as those considered in the framework of Doubly SpecialRelativity. We discuss the challenges and the promising future prospectsoffered by this phenomenological window to physics beyond special relativity.

Cosmic Neutrinos as a Window to Departures from Special Relativity