There is a typo in the final NIPS version of our paper "Phase transition in the family of p-resistances": On page 4, in Theorem 2 and its proof: the expression R_p(s,t)^{p-1} should replaced by R_p(s,t)^{q-1}. On page 5, Proposition 4, part 2: R_p(s,t) = (C_p(s,t))^{-\frac{1}{p-1}} should replaced by R_p(s,t) = (C_p(s,t))^{-\frac{1}{q-1}} We corrected the typo in our local versions, but it is still present in the official NIPS version of the paper.