%0 Journal Article %T Critical phenomena in networks %A A. V. Goltsev %A S. N. Dorogovtsev %A J. F. F. Mendes %J Physics %D 2002 %I arXiv %R 10.1103/PhysRevE.67.026123 %X We develop a phenomenological theory of critical phenomena in networks with an arbitrary distribution of connections $P(k)$. The theory shows that the critical behavior depends in a crucial way on the form of $P(k)$ and differs strongly from the standard mean-field behavior. The critical behavior observed in various networks is analyzed and found to be in agreement with the theory. %U http://arxiv.org/abs/cond-mat/0204596v2