It has been argued in [EPL { \bf 90} (2010) 50004], entitled { \it Essential discreteness in generalized thermostatistics with non-logarithmic entropy}, that "continuous Hamiltonian systems with long-range interactions and the so-called q-Gaussian momentum distributions are seen to be outside the scope of non-extensive statistical mechanics". The arguments are clever and appealing. We show here that, however, some mathematical subtleties render them unconvincing
Categories: cond-mat.stat-mech math-ph math.MP physics.class-ph