# On the rate of growth of Lévy processes with no positive jumps conditioned to stay positive

Authors
Publication Date
Mar 19, 2007
Source
Hal-Diderot
Keywords
In this article, we study the asymptotic behaviour of Lévy processes with no positive jumps conditioned to stay positive. We establish integral tests for the lower envelope at $0$ and at $+\infty$ and an analogue of Khintchin's law of the iterated logarithm at $0$ and $+\infty$, for the upper envelope.