Abstract
In this paper a necesary and sufficient condition is established for the probability that a Lévy process is positive at time $t$ to tend to 1 as $t$ tends to 0. This condition is expressed in terms of the characteristics of the process, and is also shown to be equivalent to two probabilistic statements about the behaviour of the process for small time $t$.
Citation
Ronald Doney. "Small-time Behaviour of Lévy Processes." Electron. J. Probab. 9 209 - 229, 2004. https://doi.org/10.1214/EJP.v9-193
Information
