%0 Journal Article %T The lower envelope of positive self-similar Markov processes %A Lo£¿c Chaumont %A Juan-Carlos Pardo %J Mathematics %D 2006 %I arXiv %X We establish integral tests and laws of the iterated logarithm for the lower envelope of positive self-similar Markov processes at 0 and $+\infty$. Our proofs are based on the Lamperti representation and time reversal arguments. These results extend laws of the iterated logarithm for Bessel processes due to Dvoretsky and Erd\"{o}s, Motoo and Rivero. %U http://arxiv.org/abs/math/0601177v1