Erratum to: The Tracy–Widom Law for Some Sparse Random Matrices (Journal of Statistical Physics, (2009), 136, 5, (834-841), 10.1007/s10955-009-9813-2)

The proof of the main theorem in the paper “The Tracy–Widom law for some sparse random matrices”, published in J. Stat. Phys. 136 (2009), no. 5, 834–841, contains a serious mistake, and Lemma 5 cannot be true as stated. For example, the probability that the graph is not connected tends to zero slower than Eq. 4 would imply. I am grateful to Charles Bordenave and Sandrine Péeché who brought this to my attention. In addition the e-mail address andORCIDIDof the corresponding author has been updated with this erratum.