%0 Journal Article
%T On the future infimum of positive self-similar Markov processes
%A J. C. Pardo
%J Mathematics
%D 2006
%I arXiv
%X We establish integral tests and laws of the iterated logarithm for the upper envelope of the future infimum of positive self-similar Markov processes and for increasing self-similar Markov processes at 0 and infinity. Our proofs are based on the Lamperti representation and time reversal arguments due to Chaumont and Pardo [9]. These results extend laws of the iterated logarithm for the future infimum of Bessel processes due to Khoshnevisan et al. [11].
%U http://arxiv.org/abs/math/0604110v1